diff --git "a/trees/auto_problem_095_tree.json" "b/trees/auto_problem_095_tree.json" new file mode 100644--- /dev/null +++ "b/trees/auto_problem_095_tree.json" @@ -0,0 +1,115283 @@ +{ + "problem_id": "auto_problem_095", + "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", + "correct_answer": "Optimal feasible solution found via LP", + "tree_type": "modification", + "root_id": "node_0", + "total_nodes": 3522, + "max_depth": 8, + "nodes": { + "node_0": { + "node_id": "node_0", + "content": "INITIAL DESIGN (Trace 0)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 208.44 kg\n Factor of Safety: 0.85\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.43681464806184, + "fos_buckling": 0.8473006336234902, + "fos_yielding": 6.180916354143597, + "deflection": 0.016519933179537233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1": { + "node_id": "node_1", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.70 kg\n Factor of Safety: 0.85\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.70305546896915, + "fos_buckling": 0.8457503069648514, + "fos_yielding": 5.799036941740581, + "deflection": 0.013327926521366783, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_0", + "improvement_over_parent": null + }, + "node_2": { + "node_id": "node_2", + "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0111)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 237.91 kg\n Factor of Safety: 1.18\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.91418645712795, + "fos_buckling": 1.1778459061064779, + "fos_yielding": 5.803983386372109, + "deflection": 0.012759122870232642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.645)" + }, + "parent_node_id": "node_1", + "improvement_over_parent": null + }, + "node_3": { + "node_id": "node_3", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0111)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 255.71 kg\n Factor of Safety: 1.24\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.7056621455324, + "fos_buckling": 1.2382906469416584, + "fos_yielding": 7.290257546302373, + "deflection": 0.011559092893019554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_2", + "improvement_over_parent": null + }, + "node_4": { + "node_id": "node_4", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3", + "improvement_over_parent": null + }, + "node_5": { + "node_id": "node_5", + "content": "INITIAL DESIGN (Trace 1)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n Mass: 166.98 kg\n Factor of Safety: 0.91\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.97675830261448, + "fos_buckling": 0.9147250195019233, + "fos_yielding": 5.262878692116409, + "deflection": 0.01708020991875157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_6": { + "node_id": "node_6", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n Mass: 193.17 kg\n Factor of Safety: 1.04\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.1664157894675, + "fos_buckling": 1.042088153798986, + "fos_yielding": 6.088963257269446, + "deflection": 0.014809919599661363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_5", + "improvement_over_parent": null + }, + "node_7": { + "node_id": "node_7", + "content": "MODIFICATION: Increase 15 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 197.61 kg\n Factor of Safety: 1.25\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.6140282730627, + "fos_buckling": 1.2548859935132581, + "fos_yielding": 6.058075397864397, + "deflection": 0.01458419714332326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.471)" + }, + "parent_node_id": "node_6", + "improvement_over_parent": null + }, + "node_8": { + "node_id": "node_8", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.34 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.34392749537173, + "fos_buckling": 1.5339714524983363, + "fos_yielding": 7.740713281249148, + "deflection": 0.01149254084701204, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_7", + "improvement_over_parent": null + }, + "node_9": { + "node_id": "node_9", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_8", + "improvement_over_parent": null + }, + "node_10": { + "node_id": "node_10", + "content": "INITIAL DESIGN (Trace 2)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 162.39 kg\n Factor of Safety: 0.33\n Max Deflection: 6.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.3931657482025, + "fos_buckling": 0.332304974778096, + "fos_yielding": 2.4304512443047184, + "deflection": 0.06609089841188519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_11": { + "node_id": "node_11", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 199.66 kg\n Factor of Safety: 0.39\n Max Deflection: 5.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.65954297372207, + "fos_buckling": 0.3930263689348396, + "fos_yielding": 2.9687493888635075, + "deflection": 0.054036580401994744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_10", + "improvement_over_parent": null + }, + "node_12": { + "node_id": "node_12", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 224.78 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.78168462556891, + "fos_buckling": 0.6780072637975201, + "fos_yielding": 3.853985524261421, + "deflection": 0.01862608772595099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_11", + "improvement_over_parent": null + }, + "node_13": { + "node_id": "node_13", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.92 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.92020819395137, + "fos_buckling": 1.4981396690447923, + "fos_yielding": 7.432493653854399, + "deflection": 0.011515924916103397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_12", + "improvement_over_parent": null + }, + "node_14": { + "node_id": "node_14", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.62 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.6245290408724, + "fos_buckling": 1.534754043717121, + "fos_yielding": 7.750011167772695, + "deflection": 0.011480982341601949, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_13", + "improvement_over_parent": null + }, + "node_15": { + "node_id": "node_15", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_14", + "improvement_over_parent": null + }, + "node_16": { + "node_id": "node_16", + "content": "INITIAL DESIGN (Trace 3)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 144.25 kg\n Factor of Safety: 0.27\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.252868254605, + "fos_buckling": 0.2711991513044967, + "fos_yielding": 3.359904903458389, + "deflection": 0.021860103107578067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_17": { + "node_id": "node_17", + "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 146.21 kg\n Factor of Safety: 0.27\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.21231214283927, + "fos_buckling": 0.27104152779030144, + "fos_yielding": 3.3604980570261493, + "deflection": 0.0212191597516297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.244)" + }, + "parent_node_id": "node_16", + "improvement_over_parent": null + }, + "node_18": { + "node_id": "node_18", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 183.97 kg\n Factor of Safety: 0.33\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.97146953091536, + "fos_buckling": 0.3315462631632066, + "fos_yielding": 4.230136798612377, + "deflection": 0.01692517569921563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_17", + "improvement_over_parent": null + }, + "node_19": { + "node_id": "node_19", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n Mass: 198.81 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.80704245233449, + "fos_buckling": 1.2612638134909286, + "fos_yielding": 6.094219515235291, + "deflection": 0.014498776541416486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005234)" + }, + "parent_node_id": "node_18", + "improvement_over_parent": null + }, + "node_20": { + "node_id": "node_20", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.59 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5915221629205, + "fos_buckling": 1.5351498141549291, + "fos_yielding": 7.747696332711318, + "deflection": 0.011481689229639894, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_19", + "improvement_over_parent": null + }, + "node_21": { + "node_id": "node_21", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_20", + "improvement_over_parent": null + }, + "node_22": { + "node_id": "node_22", + "content": "INITIAL DESIGN (Trace 4)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 227.74 kg\n Factor of Safety: 0.41\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.73777677247114, + "fos_buckling": 0.40591582559777467, + "fos_yielding": 5.372106076603575, + "deflection": 0.014337941156677242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_23": { + "node_id": "node_23", + "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 231.00 kg\n Factor of Safety: 0.41\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.99608839761055, + "fos_buckling": 0.4055237040340995, + "fos_yielding": 5.373684297182794, + "deflection": 0.013714913326123082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.326)" + }, + "parent_node_id": "node_22", + "improvement_over_parent": null + }, + "node_24": { + "node_id": "node_24", + "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.63 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.629211370223, + "fos_buckling": 0.4052073738702558, + "fos_yielding": 5.374960374278302, + "deflection": 0.013391096887719493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.206)" + }, + "parent_node_id": "node_23", + "improvement_over_parent": null + }, + "node_25": { + "node_id": "node_25", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4772593855352, + "fos_buckling": 1.5345672836779505, + "fos_yielding": 7.7443777252164505, + "deflection": 0.011486860438682446, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_24", + "improvement_over_parent": null + }, + "node_26": { + "node_id": "node_26", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_25", + "improvement_over_parent": null + }, + "node_27": { + "node_id": "node_27", + "content": "INITIAL DESIGN (Trace 5)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 152.06 kg\n Factor of Safety: 0.62\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.0589211404656, + "fos_buckling": 0.6232134102129887, + "fos_yielding": 3.5326458629674535, + "deflection": 0.02213464104145466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_28": { + "node_id": "node_28", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 153.91 kg\n Factor of Safety: 0.62\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.9093377762775, + "fos_buckling": 0.6229886731660867, + "fos_yielding": 3.532828439686463, + "deflection": 0.022137292959936352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.241)" + }, + "parent_node_id": "node_27", + "improvement_over_parent": null + }, + "node_29": { + "node_id": "node_29", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n\nPerformance:\n Mass: 166.70 kg\n Factor of Safety: 0.91\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.69829129308, + "fos_buckling": 0.9099935118272386, + "fos_yielding": 4.385953321102888, + "deflection": 0.017568774294172074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004467)" + }, + "parent_node_id": "node_28", + "improvement_over_parent": null + }, + "node_30": { + "node_id": "node_30", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n Mass: 167.18 kg\n Factor of Safety: 0.91\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.17641542178734, + "fos_buckling": 0.9074583607382576, + "fos_yielding": 4.373734492953347, + "deflection": 0.017515333168594906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001407)" + }, + "parent_node_id": "node_29", + "improvement_over_parent": null + }, + "node_31": { + "node_id": "node_31", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 207.68 kg\n Factor of Safety: 1.10\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.6814393062726, + "fos_buckling": 1.103644589632604, + "fos_yielding": 5.426917577887422, + "deflection": 0.014159606711093153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_30", + "improvement_over_parent": null + }, + "node_32": { + "node_id": "node_32", + "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 208.19 kg\n Factor of Safety: 1.34\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.18901934377303, + "fos_buckling": 1.3389717058893271, + "fos_yielding": 6.175220898980408, + "deflection": 0.01405872274035322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.425)" + }, + "parent_node_id": "node_31", + "improvement_over_parent": null + }, + "node_33": { + "node_id": "node_33", + "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 212.79 kg\n Factor of Safety: 1.34\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.78526601687784, + "fos_buckling": 1.3350889413455027, + "fos_yielding": 6.523832050037044, + "deflection": 0.013567911799181286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.346)" + }, + "parent_node_id": "node_32", + "improvement_over_parent": null + }, + "node_34": { + "node_id": "node_34", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.50060498063004, + "fos_buckling": 1.5346493814259266, + "fos_yielding": 7.744993042606978, + "deflection": 0.011485656704840978, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_33", + "improvement_over_parent": null + }, + "node_35": { + "node_id": "node_35", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_34", + "improvement_over_parent": null + }, + "node_36": { + "node_id": "node_36", + "content": "INITIAL DESIGN (Trace 6)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 154.38 kg\n Factor of Safety: 0.30\n Max Deflection: 4.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.3772372325035, + "fos_buckling": 0.29804438358968083, + "fos_yielding": 3.2165543286335465, + "deflection": 0.04418199654056867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_37": { + "node_id": "node_37", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n Mass: 156.15 kg\n Factor of Safety: 0.30\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.14684075750117, + "fos_buckling": 0.2979399199105372, + "fos_yielding": 3.4413343470722513, + "deflection": 0.021874875069087394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002743)" + }, + "parent_node_id": "node_36", + "improvement_over_parent": null + }, + "node_38": { + "node_id": "node_38", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n Mass: 196.62 kg\n Factor of Safety: 0.36\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.62448619425354, + "fos_buckling": 0.3634212657952946, + "fos_yielding": 4.342766515917044, + "deflection": 0.017406087593319762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_37", + "improvement_over_parent": null + }, + "node_39": { + "node_id": "node_39", + "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n Mass: 204.36 kg\n Factor of Safety: 0.36\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.35788812170765, + "fos_buckling": 0.36258832091588744, + "fos_yielding": 4.70019653720603, + "deflection": 0.015265606302982265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.587)" + }, + "parent_node_id": "node_38", + "improvement_over_parent": null + }, + "node_40": { + "node_id": "node_40", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 233.56 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.5618133252813, + "fos_buckling": 0.4050996792208702, + "fos_yielding": 5.3736409983987725, + "deflection": 0.013394089604950006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_39", + "improvement_over_parent": null + }, + "node_41": { + "node_id": "node_41", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.41 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4098613405935, + "fos_buckling": 1.5341749640947866, + "fos_yielding": 7.742323291929847, + "deflection": 0.01148957196360558, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_40", + "improvement_over_parent": null + }, + "node_42": { + "node_id": "node_42", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_41", + "improvement_over_parent": null + }, + "node_43": { + "node_id": "node_43", + "content": "INITIAL DESIGN (Trace 7)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 169.40 kg\n Factor of Safety: 0.92\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.40211933999552, + "fos_buckling": 0.9223960581197076, + "fos_yielding": 3.812760591482183, + "deflection": 0.01735895467940186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_44": { + "node_id": "node_44", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 169.87 kg\n Factor of Safety: 0.94\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.86527806096638, + "fos_buckling": 0.938061907152818, + "fos_yielding": 5.030499951983968, + "deflection": 0.017160370161769432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.379)" + }, + "parent_node_id": "node_43", + "improvement_over_parent": null + }, + "node_45": { + "node_id": "node_45", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 218.68 kg\n Factor of Safety: 1.18\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.6816599308941, + "fos_buckling": 1.1752591473173264, + "fos_yielding": 6.483242298862806, + "deflection": 0.013399577173264478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_44", + "improvement_over_parent": null + }, + "node_46": { + "node_id": "node_46", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 218.94 kg\n Factor of Safety: 1.18\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.9397434399636, + "fos_buckling": 1.1752931175521721, + "fos_yielding": 6.486772421334037, + "deflection": 0.013379142855183893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.233)" + }, + "parent_node_id": "node_45", + "improvement_over_parent": null + }, + "node_47": { + "node_id": "node_47", + "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 224.84 kg\n Factor of Safety: 1.40\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.83820924475373, + "fos_buckling": 1.3973125797303387, + "fos_yielding": 6.89049584294969, + "deflection": 0.01285848657171998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.350)" + }, + "parent_node_id": "node_46", + "improvement_over_parent": null + }, + "node_48": { + "node_id": "node_48", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46165939716676, + "fos_buckling": 1.5345084684687573, + "fos_yielding": 7.739557483434698, + "deflection": 0.011487600803404071, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_47", + "improvement_over_parent": null + }, + "node_49": { + "node_id": "node_49", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_48", + "improvement_over_parent": null + }, + "node_50": { + "node_id": "node_50", + "content": "INITIAL DESIGN (Trace 8)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 167.20 kg\n Factor of Safety: 0.64\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.20330695961096, + "fos_buckling": 0.6439137981339775, + "fos_yielding": 3.64342062892966, + "deflection": 0.018442577327077988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_51": { + "node_id": "node_51", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 194.22 kg\n Factor of Safety: 0.73\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.22432788202542, + "fos_buckling": 0.7292640587375406, + "fos_yielding": 4.210573048662357, + "deflection": 0.015931197082391168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_50", + "improvement_over_parent": null + }, + "node_52": { + "node_id": "node_52", + "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 197.97 kg\n Factor of Safety: 0.73\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9683513514717, + "fos_buckling": 0.7290035018739129, + "fos_yielding": 4.194822376950488, + "deflection": 0.015712551714684397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.258)" + }, + "parent_node_id": "node_51", + "improvement_over_parent": null + }, + "node_53": { + "node_id": "node_53", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n\nPerformance:\n Mass: 210.23 kg\n Factor of Safety: 1.32\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.22694219965163, + "fos_buckling": 1.3217390737084427, + "fos_yielding": 6.4459785098756175, + "deflection": 0.013728951828978826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005106)" + }, + "parent_node_id": "node_52", + "improvement_over_parent": null + }, + "node_54": { + "node_id": "node_54", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.53070064590926, + "fos_buckling": 1.5348239304455449, + "fos_yielding": 7.746828451036461, + "deflection": 0.011484277257413493, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_53", + "improvement_over_parent": null + }, + "node_55": { + "node_id": "node_55", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_54", + "improvement_over_parent": null + }, + "node_56": { + "node_id": "node_56", + "content": "INITIAL DESIGN (Trace 9)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 161.32 kg\n Factor of Safety: 0.61\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.31618153379458, + "fos_buckling": 0.6142453491260151, + "fos_yielding": 3.440623378040919, + "deflection": 0.01919436377385686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_57": { + "node_id": "node_57", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n Mass: 171.31 kg\n Factor of Safety: 1.11\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.30620307495786, + "fos_buckling": 1.1103253082196347, + "fos_yielding": 5.24988419672083, + "deflection": 0.01677345957414202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004102)" + }, + "parent_node_id": "node_56", + "improvement_over_parent": null + }, + "node_58": { + "node_id": "node_58", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n Mass: 223.94 kg\n Factor of Safety: 1.39\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.93929495024122, + "fos_buckling": 1.3927326147600512, + "fos_yielding": 6.867013653070878, + "deflection": 0.012908574831986326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_57", + "improvement_over_parent": null + }, + "node_59": { + "node_id": "node_59", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47214152244868, + "fos_buckling": 1.5345697535955287, + "fos_yielding": 7.744486133798844, + "deflection": 0.011486958563634606, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_58", + "improvement_over_parent": null + }, + "node_60": { + "node_id": "node_60", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_59", + "improvement_over_parent": null + }, + "node_61": { + "node_id": "node_61", + "content": "INITIAL DESIGN (Trace 10)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0023)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 144.26 kg\n Factor of Safety: 0.29\n Max Deflection: 4.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.26232599514603, + "fos_buckling": 0.2885694998809997, + "fos_yielding": 1.030951447087166, + "deflection": 0.044789240351538126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_62": { + "node_id": "node_62", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0023)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n\nPerformance:\n Mass: 164.34 kg\n Factor of Safety: 0.71\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.33867594528965, + "fos_buckling": 0.7074548433254139, + "fos_yielding": 3.397262196647632, + "deflection": 0.020857008771952575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006382)" + }, + "parent_node_id": "node_61", + "improvement_over_parent": null + }, + "node_63": { + "node_id": "node_63", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 205.74 kg\n Factor of Safety: 0.85\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.73906297546225, + "fos_buckling": 0.8475648038171284, + "fos_yielding": 4.235243535311557, + "deflection": 0.01674421268363481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_62", + "improvement_over_parent": null + }, + "node_64": { + "node_id": "node_64", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 229.02 kg\n Factor of Safety: 0.85\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.0249025775595, + "fos_buckling": 0.8456906008831325, + "fos_yielding": 4.070078411423219, + "deflection": 0.013488620542910243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_63", + "improvement_over_parent": null + }, + "node_65": { + "node_id": "node_65", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 243.75 kg\n Factor of Safety: 1.33\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.74941018621706, + "fos_buckling": 1.3341781309892693, + "fos_yielding": 8.419929168562847, + "deflection": 0.011738188405233406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_64", + "improvement_over_parent": null + }, + "node_66": { + "node_id": "node_66", + "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0098)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 251.04 kg\n Factor of Safety: 1.34\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.03745445228827, + "fos_buckling": 1.34225547310161, + "fos_yielding": 8.394029407588548, + "deflection": 0.011613692574867673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.451)" + }, + "parent_node_id": "node_65", + "improvement_over_parent": null + }, + "node_67": { + "node_id": "node_67", + "content": "MODIFICATION: Increase 12 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0148)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 261.64 kg\n Factor of Safety: 1.35\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.6350358244933, + "fos_buckling": 1.3495224623875612, + "fos_yielding": 8.372739637109266, + "deflection": 0.011513260309955522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.517)" + }, + "parent_node_id": "node_66", + "improvement_over_parent": null + }, + "node_68": { + "node_id": "node_68", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_67", + "improvement_over_parent": null + }, + "node_69": { + "node_id": "node_69", + "content": "INITIAL DESIGN (Trace 11)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 152.53 kg\n Factor of Safety: 0.32\n Max Deflection: 3.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.5301876061469, + "fos_buckling": 0.32253740283180465, + "fos_yielding": 1.3040709457043338, + "deflection": 0.03497758898956781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_70": { + "node_id": "node_70", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n Mass: 169.74 kg\n Factor of Safety: 0.91\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.73595267647065, + "fos_buckling": 0.913605265428723, + "fos_yielding": 3.9957331954975435, + "deflection": 0.017000251252021592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005412)" + }, + "parent_node_id": "node_69", + "improvement_over_parent": null + }, + "node_71": { + "node_id": "node_71", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 201.18 kg\n Factor of Safety: 1.06\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.17725067724626, + "fos_buckling": 1.0625501986139307, + "fos_yielding": 4.7512008852268774, + "deflection": 0.014393870695049537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_70", + "improvement_over_parent": null + }, + "node_72": { + "node_id": "node_72", + "content": "MODIFICATION: Increase 15 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 205.68 kg\n Factor of Safety: 1.07\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.67546953483756, + "fos_buckling": 1.0698760957291262, + "fos_yielding": 4.611262546278785, + "deflection": 0.014005269283903946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.242)" + }, + "parent_node_id": "node_71", + "improvement_over_parent": null + }, + "node_73": { + "node_id": "node_73", + "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 205.88 kg\n Factor of Safety: 1.07\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.8768969862471, + "fos_buckling": 1.0734088966294482, + "fos_yielding": 4.619483270746349, + "deflection": 0.014004429307965117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.391)" + }, + "parent_node_id": "node_72", + "improvement_over_parent": null + }, + "node_74": { + "node_id": "node_74", + "content": "MODIFICATION: Increase 9 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0095)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 215.03 kg\n Factor of Safety: 1.07\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.03310555918281, + "fos_buckling": 1.0732862402216112, + "fos_yielding": 4.933508811075276, + "deflection": 0.013392260630278414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.464)" + }, + "parent_node_id": "node_73", + "improvement_over_parent": null + }, + "node_75": { + "node_id": "node_75", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0119)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0101)]\n\nPerformance:\n Mass: 264.52 kg\n Factor of Safety: 1.29\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.5247077131821, + "fos_buckling": 1.2850919313143512, + "fos_yielding": 6.10485229931643, + "deflection": 0.010944975646403074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_74", + "improvement_over_parent": null + }, + "node_76": { + "node_id": "node_76", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_75", + "improvement_over_parent": null + }, + "node_77": { + "node_id": "node_77", + "content": "INITIAL DESIGN (Trace 12)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 164.72 kg\n Factor of Safety: 0.34\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.715055108551, + "fos_buckling": 0.344718116939086, + "fos_yielding": 5.310582998482901, + "deflection": 0.020516270655305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_78": { + "node_id": "node_78", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 182.19 kg\n Factor of Safety: 0.38\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.19361515158462, + "fos_buckling": 0.3753152690359148, + "fos_yielding": 5.8704374921628855, + "deflection": 0.018580916739790742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_77", + "improvement_over_parent": null + }, + "node_79": { + "node_id": "node_79", + "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 182.41 kg\n Factor of Safety: 0.37\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.40595078163878, + "fos_buckling": 0.3720555675594768, + "fos_yielding": 5.8194513603977285, + "deflection": 0.018569258598072857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.182)" + }, + "parent_node_id": "node_78", + "improvement_over_parent": null + }, + "node_80": { + "node_id": "node_80", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n\nPerformance:\n Mass: 199.42 kg\n Factor of Safety: 0.84\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.41726756785667, + "fos_buckling": 0.8441447176800666, + "fos_yielding": 6.168120090345855, + "deflection": 0.01721842439320837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006068)" + }, + "parent_node_id": "node_79", + "improvement_over_parent": null + }, + "node_81": { + "node_id": "node_81", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 221.07 kg\n Factor of Safety: 0.92\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.071358593963, + "fos_buckling": 0.9173762692354179, + "fos_yielding": 6.821346884710369, + "deflection": 0.01556545373729732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_80", + "improvement_over_parent": null + }, + "node_82": { + "node_id": "node_82", + "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 229.22 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.2192561210016, + "fos_buckling": 0.9162909641939084, + "fos_yielding": 6.813276867627816, + "deflection": 0.014731293785341684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.497)" + }, + "parent_node_id": "node_81", + "improvement_over_parent": null + }, + "node_83": { + "node_id": "node_83", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.50509572309883, + "fos_buckling": 1.5347544385076486, + "fos_yielding": 7.745479656208833, + "deflection": 0.011486044912317011, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_82", + "improvement_over_parent": null + }, + "node_84": { + "node_id": "node_84", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_83", + "improvement_over_parent": null + }, + "node_85": { + "node_id": "node_85", + "content": "INITIAL DESIGN (Trace 13)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 209.47 kg\n Factor of Safety: 0.14\n Max Deflection: 2.02e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.47172442327974, + "fos_buckling": 0.13733205430031858, + "fos_yielding": 1.0170830012966459, + "deflection": 202379177903338.16, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_86": { + "node_id": "node_86", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 212.02 kg\n Factor of Safety: 0.30\n Max Deflection: 2.54e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.01771658434188, + "fos_buckling": 0.30196906299866555, + "fos_yielding": 3.352742819396205, + "deflection": 25445647964873.62, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_85", + "improvement_over_parent": null + }, + "node_87": { + "node_id": "node_87", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 229.81 kg\n Factor of Safety: 0.54\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.80919227274632, + "fos_buckling": 0.538126563911919, + "fos_yielding": 5.70685516187598, + "deflection": 0.015052537810027775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_86", + "improvement_over_parent": null + }, + "node_88": { + "node_id": "node_88", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 230.51 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.51351311966735, + "fos_buckling": 0.901451582989192, + "fos_yielding": 4.905529243909456, + "deflection": 0.012754642979930935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_87", + "improvement_over_parent": null + }, + "node_89": { + "node_id": "node_89", + "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 235.81 kg\n Factor of Safety: 0.90\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.81388719663178, + "fos_buckling": 0.9019236303077087, + "fos_yielding": 5.474586508796893, + "deflection": 0.01254924018583966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.616)" + }, + "parent_node_id": "node_88", + "improvement_over_parent": null + }, + "node_90": { + "node_id": "node_90", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.48417100288884, + "fos_buckling": 1.5345628881242823, + "fos_yielding": 7.743940187994217, + "deflection": 0.011486718633923065, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_89", + "improvement_over_parent": null + }, + "node_91": { + "node_id": "node_91", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_90", + "improvement_over_parent": null + }, + "node_92": { + "node_id": "node_92", + "content": "INITIAL DESIGN (Trace 14)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_93": { + "node_id": "node_93", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n\nPerformance:\n Mass: 142.00 kg\n Factor of Safety: 0.56\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.9995036592876, + "fos_buckling": 0.561075321571719, + "fos_yielding": 3.0908559701240668, + "deflection": 0.021925547109746542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003882)" + }, + "parent_node_id": "node_92", + "improvement_over_parent": null + }, + "node_94": { + "node_id": "node_94", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 161.40 kg\n Factor of Safety: 0.63\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.3959424437316, + "fos_buckling": 0.6263652778695962, + "fos_yielding": 3.500318713229654, + "deflection": 0.019335986618234196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_93", + "improvement_over_parent": null + }, + "node_95": { + "node_id": "node_95", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n\nPerformance:\n Mass: 171.62 kg\n Factor of Safety: 1.14\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.6241791930763, + "fos_buckling": 1.1412651878398756, + "fos_yielding": 5.101001655970508, + "deflection": 0.016965280572404567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004206)" + }, + "parent_node_id": "node_94", + "improvement_over_parent": null + }, + "node_96": { + "node_id": "node_96", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n\nPerformance:\n Mass: 200.54 kg\n Factor of Safety: 1.30\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.54332473091966, + "fos_buckling": 1.3038662372070637, + "fos_yielding": 5.963405782791198, + "deflection": 0.014564271587960148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_95", + "improvement_over_parent": null + }, + "node_97": { + "node_id": "node_97", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 247.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.19e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 247.20321055726205, + "fos_buckling": 1.5486501716155354, + "fos_yielding": 7.356920660316087, + "deflection": 0.011874537156692568, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_96", + "improvement_over_parent": null + }, + "node_98": { + "node_id": "node_98", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.26 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.25592920143478, + "fos_buckling": 1.5333265029198675, + "fos_yielding": 7.7377033060950335, + "deflection": 0.011496728706686478, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.319)" + }, + "parent_node_id": "node_97", + "improvement_over_parent": null + }, + "node_99": { + "node_id": "node_99", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_98", + "improvement_over_parent": null + }, + "node_100": { + "node_id": "node_100", + "content": "INITIAL DESIGN (Trace 15)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 143.95 kg\n Factor of Safety: 0.57\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.95470890080568, + "fos_buckling": 0.5706674831762351, + "fos_yielding": 3.1718206195302954, + "deflection": 0.021264623292961915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_101": { + "node_id": "node_101", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 185.15 kg\n Factor of Safety: 0.71\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.1467877529147, + "fos_buckling": 0.7062432562064229, + "fos_yielding": 4.053995623896538, + "deflection": 0.016617741120000543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_100", + "improvement_over_parent": null + }, + "node_102": { + "node_id": "node_102", + "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 187.85 kg\n Factor of Safety: 0.71\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.8468525879278, + "fos_buckling": 0.7060609371407037, + "fos_yielding": 4.0653132181698775, + "deflection": 0.01632455759710242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.190)" + }, + "parent_node_id": "node_101", + "improvement_over_parent": null + }, + "node_103": { + "node_id": "node_103", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n Mass: 202.09 kg\n Factor of Safety: 1.28\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.09107024719347, + "fos_buckling": 1.278832396428571, + "fos_yielding": 6.1952678586543914, + "deflection": 0.014268768468963744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005179)" + }, + "parent_node_id": "node_102", + "improvement_over_parent": null + }, + "node_104": { + "node_id": "node_104", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.52545491083774, + "fos_buckling": 1.5348777277258807, + "fos_yielding": 7.7458400020915406, + "deflection": 0.011484801725058138, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_103", + "improvement_over_parent": null + }, + "node_105": { + "node_id": "node_105", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_104", + "improvement_over_parent": null + }, + "node_106": { + "node_id": "node_106", + "content": "INITIAL DESIGN (Trace 16)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 194.21 kg\n Factor of Safety: 0.28\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.20784628438074, + "fos_buckling": 0.2765128894715865, + "fos_yielding": 4.110942711960141, + "deflection": 0.01597851470436074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_107": { + "node_id": "node_107", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 210.29 kg\n Factor of Safety: 1.28\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.2915477839451, + "fos_buckling": 1.2809528541771096, + "fos_yielding": 6.928598142985124, + "deflection": 0.013702780795797554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005710)" + }, + "parent_node_id": "node_106", + "improvement_over_parent": null + }, + "node_108": { + "node_id": "node_108", + "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 210.46 kg\n Factor of Safety: 1.28\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.4642816002799, + "fos_buckling": 1.281126835787157, + "fos_yielding": 6.953952640155049, + "deflection": 0.013699772799547308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.435)" + }, + "parent_node_id": "node_107", + "improvement_over_parent": null + }, + "node_109": { + "node_id": "node_109", + "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 215.44 kg\n Factor of Safety: 1.35\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.44244822958484, + "fos_buckling": 1.3489525829921971, + "fos_yielding": 6.605927962083125, + "deflection": 0.013404738538368613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.361)" + }, + "parent_node_id": "node_108", + "improvement_over_parent": null + }, + "node_110": { + "node_id": "node_110", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5114617116148, + "fos_buckling": 1.534738577372125, + "fos_yielding": 7.745820318163125, + "deflection": 0.011485267296460797, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_109", + "improvement_over_parent": null + }, + "node_111": { + "node_id": "node_111", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_110", + "improvement_over_parent": null + }, + "node_112": { + "node_id": "node_112", + "content": "INITIAL DESIGN (Trace 17)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n Mass: 183.40 kg\n Factor of Safety: 0.69\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.3968438261357, + "fos_buckling": 0.6868873541994238, + "fos_yielding": 5.0376788284763405, + "deflection": 0.020536286573628416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_113": { + "node_id": "node_113", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n Mass: 197.64 kg\n Factor of Safety: 0.68\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.63894787389066, + "fos_buckling": 0.6799417412806287, + "fos_yielding": 5.017307037419144, + "deflection": 0.020237018604944777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005377)" + }, + "parent_node_id": "node_112", + "improvement_over_parent": null + }, + "node_114": { + "node_id": "node_114", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 213.54 kg\n Factor of Safety: 0.70\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.543200498535, + "fos_buckling": 0.7035699036547992, + "fos_yielding": 3.821714765048484, + "deflection": 0.01837831292218651, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005682)" + }, + "parent_node_id": "node_113", + "improvement_over_parent": null + }, + "node_115": { + "node_id": "node_115", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 250.09 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.08868725293456, + "fos_buckling": 0.8028642707646417, + "fos_yielding": 4.474639097149129, + "deflection": 0.015738276226458205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_114", + "improvement_over_parent": null + }, + "node_116": { + "node_id": "node_116", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.63 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.6346794139967, + "fos_buckling": 1.535314439141614, + "fos_yielding": 7.744404748857606, + "deflection": 0.011479947182931083, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_115", + "improvement_over_parent": null + }, + "node_117": { + "node_id": "node_117", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_116", + "improvement_over_parent": null + }, + "node_118": { + "node_id": "node_118", + "content": "INITIAL DESIGN (Trace 18)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 180.14 kg\n Factor of Safety: 0.66\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.1428254595852, + "fos_buckling": 0.6561511610381306, + "fos_yielding": 4.418184685295598, + "deflection": 0.022865454102996497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_119": { + "node_id": "node_119", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 197.51 kg\n Factor of Safety: 0.79\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.51247201880733, + "fos_buckling": 0.79240470590054, + "fos_yielding": 4.435875064687395, + "deflection": 0.017233141696001045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006367)" + }, + "parent_node_id": "node_118", + "improvement_over_parent": null + }, + "node_120": { + "node_id": "node_120", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 206.59 kg\n Factor of Safety: 0.79\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.592322212807, + "fos_buckling": 0.7917075663809167, + "fos_yielding": 4.672028266716935, + "deflection": 0.016586730239509843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.546)" + }, + "parent_node_id": "node_119", + "improvement_over_parent": null + }, + "node_121": { + "node_id": "node_121", + "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0092)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 213.50 kg\n Factor of Safety: 0.79\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.503942058171, + "fos_buckling": 0.791177722568848, + "fos_yielding": 4.5383887468863735, + "deflection": 0.016331074440210248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.370)" + }, + "parent_node_id": "node_120", + "improvement_over_parent": null + }, + "node_122": { + "node_id": "node_122", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0092)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0103)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 236.71 kg\n Factor of Safety: 0.86\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.70586112046226, + "fos_buckling": 0.8601385179190938, + "fos_yielding": 5.038000334829932, + "deflection": 0.014753366489672314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_121", + "improvement_over_parent": null + }, + "node_123": { + "node_id": "node_123", + "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0092)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0103)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 243.06 kg\n Factor of Safety: 0.86\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.06412395270786, + "fos_buckling": 0.8596105943049502, + "fos_yielding": 5.305229340550116, + "deflection": 0.014252952811733638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.433)" + }, + "parent_node_id": "node_122", + "improvement_over_parent": null + }, + "node_124": { + "node_id": "node_124", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0092)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0103)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 243.77 kg\n Factor of Safety: 0.42\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.7684447996289, + "fos_buckling": 0.4153497226520615, + "fos_yielding": 5.305443675689069, + "deflection": 0.013072245987379098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_123", + "improvement_over_parent": null + }, + "node_125": { + "node_id": "node_125", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0092)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0103)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 262.62 kg\n Factor of Safety: 1.29\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.6164928149411, + "fos_buckling": 1.2868383423336962, + "fos_yielding": 7.584496031372514, + "deflection": 0.011169080481830322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_124", + "improvement_over_parent": null + }, + "node_126": { + "node_id": "node_126", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_125", + "improvement_over_parent": null + }, + "node_127": { + "node_id": "node_127", + "content": "INITIAL DESIGN (Trace 19)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 151.96 kg\n Factor of Safety: 0.64\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.95816822050773, + "fos_buckling": 0.6383080674176056, + "fos_yielding": 3.8227301489618326, + "deflection": 0.022914819434441028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_128": { + "node_id": "node_128", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n Mass: 194.62 kg\n Factor of Safety: 0.78\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.62071931970786, + "fos_buckling": 0.7830547708343158, + "fos_yielding": 4.855257658559979, + "deflection": 0.017987280203417888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_127", + "improvement_over_parent": null + }, + "node_129": { + "node_id": "node_129", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 214.45 kg\n Factor of Safety: 0.85\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.4547238024007, + "fos_buckling": 0.8454189148965731, + "fos_yielding": 5.329459425877977, + "deflection": 0.01636404254706243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_128", + "improvement_over_parent": null + }, + "node_130": { + "node_id": "node_130", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 237.74 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.74056340449795, + "fos_buckling": 0.8435540895729999, + "fos_yielding": 5.001835081994583, + "deflection": 0.013149166670293169, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_129", + "improvement_over_parent": null + }, + "node_131": { + "node_id": "node_131", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46507101315552, + "fos_buckling": 1.5345389377101708, + "fos_yielding": 7.744071080335849, + "deflection": 0.011487325695402256, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_130", + "improvement_over_parent": null + }, + "node_132": { + "node_id": "node_132", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_131", + "improvement_over_parent": null + }, + "node_133": { + "node_id": "node_133", + "content": "INITIAL DESIGN (Trace 20)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0012)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n\nPerformance:\n Mass: 102.15 kg\n Factor of Safety: 0.23\n Max Deflection: 3.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.15014824481568, + "fos_buckling": 0.22975434365909397, + "fos_yielding": 2.6291244758412877, + "deflection": 0.030620886653816525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_134": { + "node_id": "node_134", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0012)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0028)]\n\nPerformance:\n Mass: 110.30 kg\n Factor of Safety: 0.66\n Max Deflection: 2.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.30441593517524, + "fos_buckling": 0.6589553912976188, + "fos_yielding": 2.586903566583558, + "deflection": 0.026071439148518696, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.002806)" + }, + "parent_node_id": "node_133", + "improvement_over_parent": null + }, + "node_135": { + "node_id": "node_135", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 139.46 kg\n Factor of Safety: 0.82\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.4605838198755, + "fos_buckling": 0.823722596519221, + "fos_yielding": 3.2796587695014057, + "deflection": 0.020687577189666594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_134", + "improvement_over_parent": null + }, + "node_136": { + "node_id": "node_136", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 171.14 kg\n Factor of Safety: 1.00\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.14281382260043, + "fos_buckling": 0.9982342714306331, + "fos_yielding": 4.037161986005384, + "deflection": 0.016916897585505134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_135", + "improvement_over_parent": null + }, + "node_137": { + "node_id": "node_137", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 171.58 kg\n Factor of Safety: 1.11\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.580231842686, + "fos_buckling": 1.1118436487086287, + "fos_yielding": 5.2566711929809085, + "deflection": 0.016747383101858273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.359)" + }, + "parent_node_id": "node_136", + "improvement_over_parent": null + }, + "node_138": { + "node_id": "node_138", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 201.29 kg\n Factor of Safety: 1.27\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.29417183689074, + "fos_buckling": 1.274520955990081, + "fos_yielding": 6.169127095562091, + "deflection": 0.014323854413568557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_137", + "improvement_over_parent": null + }, + "node_139": { + "node_id": "node_139", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.44953396771953, + "fos_buckling": 1.5344315285131098, + "fos_yielding": 7.741477026656627, + "deflection": 0.011488079344102665, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_138", + "improvement_over_parent": null + }, + "node_140": { + "node_id": "node_140", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_139", + "improvement_over_parent": null + }, + "node_141": { + "node_id": "node_141", + "content": "INITIAL DESIGN (Trace 21)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 209.04 kg\n Factor of Safety: 0.84\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.04496813448662, + "fos_buckling": 0.8382828162584556, + "fos_yielding": 6.118699339537363, + "deflection": 0.01639651393951444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_142": { + "node_id": "node_142", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.20 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.2046704528689, + "fos_buckling": 0.915786880563133, + "fos_yielding": 6.809282718273439, + "deflection": 0.014738110310552836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_141", + "improvement_over_parent": null + }, + "node_143": { + "node_id": "node_143", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 249.22 kg\n Factor of Safety: 1.49\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.2248127023513, + "fos_buckling": 1.4905166026345438, + "fos_yielding": 7.97383549175859, + "deflection": 0.011627695732240885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005833)" + }, + "parent_node_id": "node_142", + "improvement_over_parent": null + }, + "node_144": { + "node_id": "node_144", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0100)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 254.18 kg\n Factor of Safety: 1.49\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.18221262839091, + "fos_buckling": 1.4875505318852313, + "fos_yielding": 7.748220870968073, + "deflection": 0.011332065938537562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.222)" + }, + "parent_node_id": "node_143", + "improvement_over_parent": null + }, + "node_145": { + "node_id": "node_145", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_144", + "improvement_over_parent": null + }, + "node_146": { + "node_id": "node_146", + "content": "INITIAL DESIGN (Trace 22)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 190.90 kg\n Factor of Safety: 0.37\n Max Deflection: 1.47e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.90272145168134, + "fos_buckling": 0.371654231382973, + "fos_yielding": 1.6949155087519892, + "deflection": 14718929112256.322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_147": { + "node_id": "node_147", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 205.63 kg\n Factor of Safety: 0.44\n Max Deflection: 2.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.62722906033892, + "fos_buckling": 0.44295314001949504, + "fos_yielding": 2.5702306637745105, + "deflection": 0.025667158405100574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_146", + "improvement_over_parent": null + }, + "node_148": { + "node_id": "node_148", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 230.75 kg\n Factor of Safety: 0.45\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.74937071218577, + "fos_buckling": 0.4543350502209381, + "fos_yielding": 5.828298212136332, + "deflection": 0.013582476561052468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_147", + "improvement_over_parent": null + }, + "node_149": { + "node_id": "node_149", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.36 kg\n Factor of Safety: 1.52\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 249.36489676855308, + "fos_buckling": 1.5236971416974028, + "fos_yielding": 6.753300735059875, + "deflection": 0.01162518865596937, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_148", + "improvement_over_parent": null + }, + "node_150": { + "node_id": "node_150", + "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.12 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.11966273277363, + "fos_buckling": 1.5232944022653567, + "fos_yielding": 6.736830222565722, + "deflection": 0.011543387149041195, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.239)" + }, + "parent_node_id": "node_149", + "improvement_over_parent": null + }, + "node_151": { + "node_id": "node_151", + "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.39 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3860028583572, + "fos_buckling": 1.5233278127444942, + "fos_yielding": 6.7394247914455265, + "deflection": 0.011531229270356155, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.182)" + }, + "parent_node_id": "node_150", + "improvement_over_parent": null + }, + "node_152": { + "node_id": "node_152", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_151", + "improvement_over_parent": null + }, + "node_153": { + "node_id": "node_153", + "content": "INITIAL DESIGN (Trace 23)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 107.36 kg\n Factor of Safety: 0.48\n Max Deflection: 3.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.3574562179955, + "fos_buckling": 0.4798106567041404, + "fos_yielding": 1.3516540471753256, + "deflection": 0.03481764082576734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_154": { + "node_id": "node_154", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n\nPerformance:\n Mass: 116.44 kg\n Factor of Safety: 0.51\n Max Deflection: 3.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.43744558711703, + "fos_buckling": 0.5089778396655873, + "fos_yielding": 2.8893707603001353, + "deflection": 0.030883368363824767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003216)" + }, + "parent_node_id": "node_153", + "improvement_over_parent": null + }, + "node_155": { + "node_id": "node_155", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n Mass: 138.00 kg\n Factor of Safety: 0.60\n Max Deflection: 2.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.00494042778925, + "fos_buckling": 0.5951897325807617, + "fos_yielding": 3.4379529630925836, + "deflection": 0.026107430893852344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_154", + "improvement_over_parent": null + }, + "node_156": { + "node_id": "node_156", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n Mass: 139.53 kg\n Factor of Safety: 0.60\n Max Deflection: 2.61e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.53226599331694, + "fos_buckling": 0.5954642328286964, + "fos_yielding": 3.442300526232691, + "deflection": 0.026111356449810216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.188)" + }, + "parent_node_id": "node_155", + "improvement_over_parent": null + }, + "node_157": { + "node_id": "node_157", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n Mass: 181.05 kg\n Factor of Safety: 0.75\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.04607172325558, + "fos_buckling": 0.7507633452420588, + "fos_yielding": 4.50238124578956, + "deflection": 0.02019583843887018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_156", + "improvement_over_parent": null + }, + "node_158": { + "node_id": "node_158", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 196.16 kg\n Factor of Safety: 0.65\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.1582012173531, + "fos_buckling": 0.6541979718377843, + "fos_yielding": 3.5110757461262248, + "deflection": 0.01997867984780921, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005478)" + }, + "parent_node_id": "node_157", + "improvement_over_parent": null + }, + "node_159": { + "node_id": "node_159", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n Mass: 198.16 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.15512621530115, + "fos_buckling": 1.2576541671154569, + "fos_yielding": 6.070972848026659, + "deflection": 0.014545564564438628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003121)" + }, + "parent_node_id": "node_158", + "improvement_over_parent": null + }, + "node_160": { + "node_id": "node_160", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.67 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.66530071351684, + "fos_buckling": 1.535363709317501, + "fos_yielding": 7.745964584399442, + "deflection": 0.011478564852708942, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_159", + "improvement_over_parent": null + }, + "node_161": { + "node_id": "node_161", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_160", + "improvement_over_parent": null + }, + "node_162": { + "node_id": "node_162", + "content": "INITIAL DESIGN (Trace 24)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0021)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n Mass: 106.07 kg\n Factor of Safety: 0.51\n Max Deflection: 3.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.06886260872128, + "fos_buckling": 0.5124178049788453, + "fos_yielding": 1.430509860280811, + "deflection": 0.03251489011168666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_163": { + "node_id": "node_163", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 119.66 kg\n Factor of Safety: 0.57\n Max Deflection: 2.89e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.65779336188753, + "fos_buckling": 0.5697716112332905, + "fos_yielding": 1.6112025650880226, + "deflection": 0.028872559013840164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_162", + "improvement_over_parent": null + }, + "node_164": { + "node_id": "node_164", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n\nPerformance:\n Mass: 129.96 kg\n Factor of Safety: 0.57\n Max Deflection: 2.62e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.96369722837636, + "fos_buckling": 0.5680707928873412, + "fos_yielding": 3.366041907595159, + "deflection": 0.026196063762058866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.003807)" + }, + "parent_node_id": "node_163", + "improvement_over_parent": null + }, + "node_165": { + "node_id": "node_165", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n\nPerformance:\n Mass: 141.88 kg\n Factor of Safety: 0.57\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.8758767676943, + "fos_buckling": 0.5674181970892868, + "fos_yielding": 3.1584595123834416, + "deflection": 0.021019979825738073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004253)" + }, + "parent_node_id": "node_164", + "improvement_over_parent": null + }, + "node_166": { + "node_id": "node_166", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 184.32 kg\n Factor of Safety: 0.71\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.32148220795898, + "fos_buckling": 0.7083585742413845, + "fos_yielding": 4.075978201669834, + "deflection": 0.016270775894589307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_165", + "improvement_over_parent": null + }, + "node_167": { + "node_id": "node_167", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 229.88 kg\n Factor of Safety: 0.85\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.88334836464512, + "fos_buckling": 0.8455235289551001, + "fos_yielding": 5.047220034283433, + "deflection": 0.013124858230539153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_166", + "improvement_over_parent": null + }, + "node_168": { + "node_id": "node_168", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 247.67 kg\n Factor of Safety: 1.26\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.67482405304955, + "fos_buckling": 1.2632815462697078, + "fos_yielding": 7.711627182053958, + "deflection": 0.011632266145381856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_167", + "improvement_over_parent": null + }, + "node_169": { + "node_id": "node_169", + "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0058)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 248.72 kg\n Factor of Safety: 1.26\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.71574992261853, + "fos_buckling": 1.263099670958898, + "fos_yielding": 7.617607756906525, + "deflection": 0.011569468991513674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.570)" + }, + "parent_node_id": "node_168", + "improvement_over_parent": null + }, + "node_170": { + "node_id": "node_170", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_169", + "improvement_over_parent": null + }, + "node_171": { + "node_id": "node_171", + "content": "INITIAL DESIGN (Trace 25)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 107.84 kg\n Factor of Safety: 0.25\n Max Deflection: 5.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.84196471886715, + "fos_buckling": 0.25234236886197253, + "fos_yielding": 0.7275559140847405, + "deflection": 0.05537247897049811, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_172": { + "node_id": "node_172", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 125.35 kg\n Factor of Safety: 0.29\n Max Deflection: 4.77e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.35247815653388, + "fos_buckling": 0.2887275061014225, + "fos_yielding": 0.8452679756600865, + "deflection": 0.047734866990169045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_171", + "improvement_over_parent": null + }, + "node_173": { + "node_id": "node_173", + "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 125.48 kg\n Factor of Safety: 0.29\n Max Deflection: 4.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.47949663113572, + "fos_buckling": 0.2887239162422286, + "fos_yielding": 1.149239590313801, + "deflection": 0.046673250822078315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.449)" + }, + "parent_node_id": "node_172", + "improvement_over_parent": null + }, + "node_174": { + "node_id": "node_174", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 161.09 kg\n Factor of Safety: 0.36\n Max Deflection: 3.65e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.09490731369468, + "fos_buckling": 0.3587686494740826, + "fos_yielding": 1.4680056597073232, + "deflection": 0.03651698214347837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_173", + "improvement_over_parent": null + }, + "node_175": { + "node_id": "node_175", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 176.00 kg\n Factor of Safety: 0.36\n Max Deflection: 3.08e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.00379104795547, + "fos_buckling": 0.35824761563700647, + "fos_yielding": 1.4658895379912533, + "deflection": 0.030834292930067713, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005399)" + }, + "parent_node_id": "node_174", + "improvement_over_parent": null + }, + "node_176": { + "node_id": "node_176", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.47 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.47276629099008, + "fos_buckling": 0.4426637133858889, + "fos_yielding": 1.8812569122616922, + "deflection": 0.02401229862072731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_175", + "improvement_over_parent": null + }, + "node_177": { + "node_id": "node_177", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.59 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.59490794283693, + "fos_buckling": 1.5351744029112562, + "fos_yielding": 7.7500748923988265, + "deflection": 0.011481871067617366, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_176", + "improvement_over_parent": null + }, + "node_178": { + "node_id": "node_178", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_177", + "improvement_over_parent": null + }, + "node_179": { + "node_id": "node_179", + "content": "INITIAL DESIGN (Trace 26)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 151.20 kg\n Factor of Safety: 0.31\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.19512816375027, + "fos_buckling": 0.3109232778977742, + "fos_yielding": 3.544522702484311, + "deflection": 0.02028681844236233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_180": { + "node_id": "node_180", + "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 154.21 kg\n Factor of Safety: 0.28\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.21386777489693, + "fos_buckling": 0.284212058494951, + "fos_yielding": 3.5448440747386902, + "deflection": 0.020133717572519007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.477)" + }, + "parent_node_id": "node_179", + "improvement_over_parent": null + }, + "node_181": { + "node_id": "node_181", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n\nPerformance:\n Mass: 166.65 kg\n Factor of Safety: 1.08\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.65430666398393, + "fos_buckling": 1.0840714705828027, + "fos_yielding": 5.107075919314913, + "deflection": 0.017232360247596147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004338)" + }, + "parent_node_id": "node_180", + "improvement_over_parent": null + }, + "node_182": { + "node_id": "node_182", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n Mass: 206.15 kg\n Factor of Safety: 1.30\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.15082164967814, + "fos_buckling": 1.3003281581812889, + "fos_yielding": 6.320284276044452, + "deflection": 0.013993924682709899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_181", + "improvement_over_parent": null + }, + "node_183": { + "node_id": "node_183", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5219071886899, + "fos_buckling": 1.534826002619308, + "fos_yielding": 7.746054618479254, + "deflection": 0.011484690474277436, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_182", + "improvement_over_parent": null + }, + "node_184": { + "node_id": "node_184", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_183", + "improvement_over_parent": null + }, + "node_185": { + "node_id": "node_185", + "content": "INITIAL DESIGN (Trace 27)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 157.85 kg\n Factor of Safety: 1.13\n Max Deflection: 8.28e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.84953524981344, + "fos_buckling": 1.1288589009654875, + "fos_yielding": 6.779662035007957, + "deflection": 8284015876174.009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_186": { + "node_id": "node_186", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 158.48 kg\n Factor of Safety: 0.43\n Max Deflection: 9.69e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.4759266794321, + "fos_buckling": 0.4344230089754708, + "fos_yielding": 3.3898310175039783, + "deflection": 9689452730411.34, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001880)" + }, + "parent_node_id": "node_185", + "improvement_over_parent": null + }, + "node_187": { + "node_id": "node_187", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 178.12 kg\n Factor of Safety: 0.10\n Max Deflection: 8.16e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.12069074629235, + "fos_buckling": 0.09623989083716428, + "fos_yielding": 0.4237288771879973, + "deflection": 81649440402308.89, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_186", + "improvement_over_parent": null + }, + "node_188": { + "node_id": "node_188", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 203.24 kg\n Factor of Safety: 0.21\n Max Deflection: 3.43e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.2428323981392, + "fos_buckling": 0.2129843201285246, + "fos_yielding": 2.3229272550987625, + "deflection": 34290922067273.01, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_187", + "improvement_over_parent": null + }, + "node_189": { + "node_id": "node_189", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 230.38 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.38135596652165, + "fos_buckling": 0.9158854039963611, + "fos_yielding": 6.805313598625077, + "deflection": 0.014806171230755536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_188", + "improvement_over_parent": null + }, + "node_190": { + "node_id": "node_190", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 249.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 249.64759678742897, + "fos_buckling": 1.5344819248692754, + "fos_yielding": 7.722123395696371, + "deflection": 0.01155587382059727, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_189", + "improvement_over_parent": null + }, + "node_191": { + "node_id": "node_191", + "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0097)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 254.39 kg\n Factor of Safety: 1.54\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.38842357649312, + "fos_buckling": 1.5409917556175068, + "fos_yielding": 7.97421426746255, + "deflection": 0.011320454713758227, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.196)" + }, + "parent_node_id": "node_190", + "improvement_over_parent": null + }, + "node_192": { + "node_id": "node_192", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_191", + "improvement_over_parent": null + }, + "node_193": { + "node_id": "node_193", + "content": "INITIAL DESIGN (Trace 28)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n Mass: 160.52 kg\n Factor of Safety: 1.01\n Max Deflection: 1.60e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.52401694485872, + "fos_buckling": 1.0139154851614514, + "fos_yielding": 6.779662035007957, + "deflection": 15993110870627.666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_194": { + "node_id": "node_194", + "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n Mass: 167.05 kg\n Factor of Safety: 0.08\n Max Deflection: 2.91e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.05492504583933, + "fos_buckling": 0.08370359589615108, + "fos_yielding": 0.21186443859399864, + "deflection": 291004594569578.1, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.610)" + }, + "parent_node_id": "node_193", + "improvement_over_parent": null + }, + "node_195": { + "node_id": "node_195", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 180.81 kg\n Factor of Safety: 0.36\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.81182130106706, + "fos_buckling": 0.36260166227121515, + "fos_yielding": 4.558255656081184, + "deflection": 0.017387179834551684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004989)" + }, + "parent_node_id": "node_194", + "improvement_over_parent": null + }, + "node_196": { + "node_id": "node_196", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 234.02 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.01591830595984, + "fos_buckling": 0.446252939465593, + "fos_yielding": 5.829113180919514, + "deflection": 0.01352634337127233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_195", + "improvement_over_parent": null + }, + "node_197": { + "node_id": "node_197", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.63 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.63144436232716, + "fos_buckling": 1.5352645226602883, + "fos_yielding": 7.751613962877009, + "deflection": 0.01147948340682103, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_196", + "improvement_over_parent": null + }, + "node_198": { + "node_id": "node_198", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_197", + "improvement_over_parent": null + }, + "node_199": { + "node_id": "node_199", + "content": "INITIAL DESIGN (Trace 29)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 168.14 kg\n Factor of Safety: 0.28\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.14299553983867, + "fos_buckling": 0.2823764277474308, + "fos_yielding": 4.3486959957957705, + "deflection": 0.021645141057266688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_200": { + "node_id": "node_200", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 183.30 kg\n Factor of Safety: 0.77\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.29888956567993, + "fos_buckling": 0.7747019391404775, + "fos_yielding": 5.573486203072262, + "deflection": 0.0190228492066756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005394)" + }, + "parent_node_id": "node_199", + "improvement_over_parent": null + }, + "node_201": { + "node_id": "node_201", + "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 189.85 kg\n Factor of Safety: 0.77\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.8540693843555, + "fos_buckling": 0.7739616422176894, + "fos_yielding": 5.5681602390119265, + "deflection": 0.01801493236436647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.479)" + }, + "parent_node_id": "node_200", + "improvement_over_parent": null + }, + "node_202": { + "node_id": "node_202", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.08 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.08245560051378, + "fos_buckling": 0.9154596406432128, + "fos_yielding": 6.806294985365795, + "deflection": 0.014745870182230041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_201", + "improvement_over_parent": null + }, + "node_203": { + "node_id": "node_203", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3486964214211, + "fos_buckling": 1.53411006347626, + "fos_yielding": 7.739421708492851, + "deflection": 0.011493105517213158, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_202", + "improvement_over_parent": null + }, + "node_204": { + "node_id": "node_204", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_203", + "improvement_over_parent": null + }, + "node_205": { + "node_id": "node_205", + "content": "INITIAL DESIGN (Trace 30)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n Mass: 155.70 kg\n Factor of Safety: 0.54\n Max Deflection: 9.27e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.7018092912607, + "fos_buckling": 0.536286756948192, + "fos_yielding": 5.690146656255036, + "deflection": 9274026539083.857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_206": { + "node_id": "node_206", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n\nPerformance:\n Mass: 166.64 kg\n Factor of Safety: 0.61\n Max Deflection: 2.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.63569005113774, + "fos_buckling": 0.6093965805640156, + "fos_yielding": 4.387826958589038, + "deflection": 0.024720346688687715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004516)" + }, + "parent_node_id": "node_205", + "improvement_over_parent": null + }, + "node_207": { + "node_id": "node_207", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n\nPerformance:\n Mass: 193.65 kg\n Factor of Safety: 0.69\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.65358380994385, + "fos_buckling": 0.6897935742466573, + "fos_yielding": 5.065991814706524, + "deflection": 0.02137579732853833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_206", + "improvement_over_parent": null + }, + "node_208": { + "node_id": "node_208", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 194.26 kg\n Factor of Safety: 0.39\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.26151495079705, + "fos_buckling": 0.39269936399199096, + "fos_yielding": 5.064826020814362, + "deflection": 0.016117128434703885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001820)" + }, + "parent_node_id": "node_207", + "improvement_over_parent": null + }, + "node_209": { + "node_id": "node_209", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 225.11 kg\n Factor of Safety: 0.44\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.11378056722447, + "fos_buckling": 0.4414029293755976, + "fos_yielding": 5.825641730789477, + "deflection": 0.013963140581991157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_208", + "improvement_over_parent": null + }, + "node_210": { + "node_id": "node_210", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 243.73 kg\n Factor of Safety: 1.41\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.72930662359178, + "fos_buckling": 1.4105528541827725, + "fos_yielding": 8.437913038603892, + "deflection": 0.011911287402137538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_209", + "improvement_over_parent": null + }, + "node_211": { + "node_id": "node_211", + "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0111)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 253.97 kg\n Factor of Safety: 1.41\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.97256417374467, + "fos_buckling": 1.4109823763376057, + "fos_yielding": 8.860040352526049, + "deflection": 0.011738492346282228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.639)" + }, + "parent_node_id": "node_210", + "improvement_over_parent": null + }, + "node_212": { + "node_id": "node_212", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_211", + "improvement_over_parent": null + }, + "node_213": { + "node_id": "node_213", + "content": "INITIAL DESIGN (Trace 31)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_214": { + "node_id": "node_214", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 224.75 kg\n Factor of Safety: 0.92\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.7538683402295, + "fos_buckling": 0.9165096919169782, + "fos_yielding": 5.178545686751483, + "deflection": 0.016120518311619786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_213", + "improvement_over_parent": null + }, + "node_215": { + "node_id": "node_215", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 244.02 kg\n Factor of Safety: 0.81\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.02010916113682, + "fos_buckling": 0.8054078573653656, + "fos_yielding": 4.1121963296441555, + "deflection": 0.015962962394193494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_214", + "improvement_over_parent": null + }, + "node_216": { + "node_id": "node_216", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 246.57 kg\n Factor of Safety: 1.46\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.56610132219896, + "fos_buckling": 1.4638827631041058, + "fos_yielding": 7.702475671195868, + "deflection": 0.01165340495885629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_215", + "improvement_over_parent": null + }, + "node_217": { + "node_id": "node_217", + "content": "MODIFICATION: Increase 14 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0110)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 255.61 kg\n Factor of Safety: 1.46\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.60698182846167, + "fos_buckling": 1.4632676139665166, + "fos_yielding": 7.327315817896497, + "deflection": 0.01140733697866358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.546)" + }, + "parent_node_id": "node_216", + "improvement_over_parent": null + }, + "node_218": { + "node_id": "node_218", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_217", + "improvement_over_parent": null + }, + "node_219": { + "node_id": "node_219", + "content": "INITIAL DESIGN (Trace 32)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_220": { + "node_id": "node_220", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 189.27 kg\n Factor of Safety: 0.77\n Max Deflection: 8.39e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.2706255143196, + "fos_buckling": 0.7698166515007098, + "fos_yielding": 3.3898310175039783, + "deflection": 8394101875895.836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_219", + "improvement_over_parent": null + }, + "node_221": { + "node_id": "node_221", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 0.43\n Max Deflection: 7.71e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.30925169828336, + "fos_buckling": 0.42592551145435037, + "fos_yielding": 3.3898310175039783, + "deflection": 7708635544455.182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005491)" + }, + "parent_node_id": "node_220", + "improvement_over_parent": null + }, + "node_222": { + "node_id": "node_222", + "content": "MODIFICATION: Increase 10 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 216.79 kg\n Factor of Safety: 0.21\n Max Deflection: 9.82e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.7865316272436, + "fos_buckling": 0.21296275572717518, + "fos_yielding": 3.3898310175039783, + "deflection": 9819092857652.236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.629)" + }, + "parent_node_id": "node_221", + "improvement_over_parent": null + }, + "node_223": { + "node_id": "node_223", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 216.91 kg\n Factor of Safety: 0.64\n Max Deflection: 1.61e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.9120301036605, + "fos_buckling": 0.6418716965890381, + "fos_yielding": 3.3898310175039783, + "deflection": 16056059205590.627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.200)" + }, + "parent_node_id": "node_222", + "improvement_over_parent": null + }, + "node_224": { + "node_id": "node_224", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 233.58 kg\n Factor of Safety: 0.47\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.58231390991756, + "fos_buckling": 0.47311849888508634, + "fos_yielding": 4.790393964452416, + "deflection": 0.01384582970544132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_223", + "improvement_over_parent": null + }, + "node_225": { + "node_id": "node_225", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.27\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.43036192522976, + "fos_buckling": 1.2669202340012242, + "fos_yielding": 6.624685929181197, + "deflection": 0.011919481558777421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_224", + "improvement_over_parent": null + }, + "node_226": { + "node_id": "node_226", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_225", + "improvement_over_parent": null + }, + "node_227": { + "node_id": "node_227", + "content": "INITIAL DESIGN (Trace 33)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0027)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0018)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0030)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0020)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n Mass: 100.02 kg\n Factor of Safety: 0.58\n Max Deflection: 2.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.02440289160953, + "fos_buckling": 0.5792601331005767, + "fos_yielding": 3.4758946492539122, + "deflection": 0.02899883522288053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_228": { + "node_id": "node_228", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0018)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0030)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0020)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n Mass: 102.19 kg\n Factor of Safety: 0.58\n Max Deflection: 2.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.19313204204792, + "fos_buckling": 0.5774033431331556, + "fos_yielding": 3.6246687929917956, + "deflection": 0.027820223996606656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.253)" + }, + "parent_node_id": "node_227", + "improvement_over_parent": null + }, + "node_229": { + "node_id": "node_229", + "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0030)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0020)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n Mass: 105.23 kg\n Factor of Safety: 0.70\n Max Deflection: 2.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.23032290551686, + "fos_buckling": 0.7009832664071051, + "fos_yielding": 3.3414676363800155, + "deflection": 0.02691478323930757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.616)" + }, + "parent_node_id": "node_228", + "improvement_over_parent": null + }, + "node_230": { + "node_id": "node_230", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 127.12 kg\n Factor of Safety: 0.83\n Max Deflection: 2.23e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.11648117921067, + "fos_buckling": 0.8347046171342564, + "fos_yielding": 4.036306641864345, + "deflection": 0.022337299795808646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_229", + "improvement_over_parent": null + }, + "node_231": { + "node_id": "node_231", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 156.88 kg\n Factor of Safety: 1.01\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.87525221724192, + "fos_buckling": 1.00987199400752, + "fos_yielding": 4.980953332299881, + "deflection": 0.018162332756367135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_230", + "improvement_over_parent": null + }, + "node_232": { + "node_id": "node_232", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 204.44 kg\n Factor of Safety: 1.27\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.43966195734203, + "fos_buckling": 1.273946405157853, + "fos_yielding": 6.4903930029050505, + "deflection": 0.014013313322562284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_231", + "improvement_over_parent": null + }, + "node_233": { + "node_id": "node_233", + "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 207.11 kg\n Factor of Safety: 1.31\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.1083076607809, + "fos_buckling": 1.3053611723490184, + "fos_yielding": 6.348990381594671, + "deflection": 0.013930504429436318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.261)" + }, + "parent_node_id": "node_232", + "improvement_over_parent": null + }, + "node_234": { + "node_id": "node_234", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.75 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.74574577022673, + "fos_buckling": 1.5358910303308504, + "fos_yielding": 7.752082791388637, + "deflection": 0.011474611935483622, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_233", + "improvement_over_parent": null + }, + "node_235": { + "node_id": "node_235", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_234", + "improvement_over_parent": null + }, + "node_236": { + "node_id": "node_236", + "content": "INITIAL DESIGN (Trace 34)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 147.55 kg\n Factor of Safety: 0.63\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.55235982073492, + "fos_buckling": 0.6349955813138637, + "fos_yielding": 2.889517011751746, + "deflection": 0.021321159020568064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_237": { + "node_id": "node_237", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 150.91 kg\n Factor of Safety: 0.63\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.90546430010335, + "fos_buckling": 0.6343798001697626, + "fos_yielding": 2.890389802881807, + "deflection": 0.021062933315788058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.238)" + }, + "parent_node_id": "node_236", + "improvement_over_parent": null + }, + "node_238": { + "node_id": "node_238", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 184.70 kg\n Factor of Safety: 0.75\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.70031451782037, + "fos_buckling": 0.7510153912450488, + "fos_yielding": 3.5518154385758747, + "deflection": 0.017266752451023725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_237", + "improvement_over_parent": null + }, + "node_239": { + "node_id": "node_239", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 215.31 kg\n Factor of Safety: 0.85\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.30799510706828, + "fos_buckling": 0.8489275750110078, + "fos_yielding": 4.156171001582617, + "deflection": 0.014856862529645663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_238", + "improvement_over_parent": null + }, + "node_240": { + "node_id": "node_240", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 234.16 kg\n Factor of Safety: 0.84\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.15604312238048, + "fos_buckling": 0.8443774061044313, + "fos_yielding": 4.910551805207324, + "deflection": 0.013255508119427623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_239", + "improvement_over_parent": null + }, + "node_241": { + "node_id": "node_241", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 251.95 kg\n Factor of Safety: 1.43\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.9475188107849, + "fos_buckling": 1.4343995943444277, + "fos_yielding": 6.056787086581144, + "deflection": 0.011588680488947537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_240", + "improvement_over_parent": null + }, + "node_242": { + "node_id": "node_242", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55244275053906, + "fos_buckling": 1.5349392037895038, + "fos_yielding": 7.744938563605736, + "deflection": 0.011482954091278454, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.342)" + }, + "parent_node_id": "node_241", + "improvement_over_parent": null + }, + "node_243": { + "node_id": "node_243", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_242", + "improvement_over_parent": null + }, + "node_244": { + "node_id": "node_244", + "content": "INITIAL DESIGN (Trace 35)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n Mass: 111.82 kg\n Factor of Safety: 0.24\n Max Deflection: 3.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.82240381131774, + "fos_buckling": 0.24182098572420443, + "fos_yielding": 3.1750231489032608, + "deflection": 0.031240286770108715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_245": { + "node_id": "node_245", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n\nPerformance:\n Mass: 128.37 kg\n Factor of Safety: 0.27\n Max Deflection: 2.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.37470529851706, + "fos_buckling": 0.2731106881288675, + "fos_yielding": 3.630276638245884, + "deflection": 0.02727059798543883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_244", + "improvement_over_parent": null + }, + "node_246": { + "node_id": "node_246", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 139.73 kg\n Factor of Safety: 0.60\n Max Deflection: 2.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.7261454990085, + "fos_buckling": 0.6032690893152445, + "fos_yielding": 4.1905987406192455, + "deflection": 0.023920718583587505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003965)" + }, + "parent_node_id": "node_245", + "improvement_over_parent": null + }, + "node_247": { + "node_id": "node_247", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 170.86 kg\n Factor of Safety: 0.72\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.86114009688114, + "fos_buckling": 0.7185421427966157, + "fos_yielding": 5.10824778737627, + "deflection": 0.01963168412739816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_246", + "improvement_over_parent": null + }, + "node_248": { + "node_id": "node_248", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 193.34 kg\n Factor of Safety: 0.80\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.33529332051964, + "fos_buckling": 0.7974965573414097, + "fos_yielding": 5.7670505478043, + "deflection": 0.0173941965451071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_247", + "improvement_over_parent": null + }, + "node_249": { + "node_id": "node_249", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n\nPerformance:\n Mass: 212.97 kg\n Factor of Safety: 1.34\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.96603507687766, + "fos_buckling": 1.3359851445081024, + "fos_yielding": 6.530482193129875, + "deflection": 0.013556733348325675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006264)" + }, + "parent_node_id": "node_248", + "improvement_over_parent": null + }, + "node_250": { + "node_id": "node_250", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.71 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.71125762204298, + "fos_buckling": 1.535610521224372, + "fos_yielding": 7.752749907651697, + "deflection": 0.011476407246335222, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_249", + "improvement_over_parent": null + }, + "node_251": { + "node_id": "node_251", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_250", + "improvement_over_parent": null + }, + "node_252": { + "node_id": "node_252", + "content": "INITIAL DESIGN (Trace 36)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0022)]\n\nPerformance:\n Mass: 124.94 kg\n Factor of Safety: 0.71\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.93879178658035, + "fos_buckling": 0.7080560473623331, + "fos_yielding": 4.5212026342216545, + "deflection": 0.022433963616611458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_253": { + "node_id": "node_253", + "content": "MODIFICATION: Increase 15 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 128.49 kg\n Factor of Safety: 0.80\n Max Deflection: 2.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.4851022393143, + "fos_buckling": 0.8040455280487827, + "fos_yielding": 4.494445122976806, + "deflection": 0.022032214713846986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.585)" + }, + "parent_node_id": "node_252", + "improvement_over_parent": null + }, + "node_254": { + "node_id": "node_254", + "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 130.99 kg\n Factor of Safety: 0.83\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.99179736047444, + "fos_buckling": 0.8293617789369738, + "fos_yielding": 4.285590659327049, + "deflection": 0.02161489337578843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.340)" + }, + "parent_node_id": "node_253", + "improvement_over_parent": null + }, + "node_255": { + "node_id": "node_255", + "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 133.96 kg\n Factor of Safety: 0.89\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.95651073776443, + "fos_buckling": 0.8932837547425968, + "fos_yielding": 4.103521918175761, + "deflection": 0.021359113012955917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.527)" + }, + "parent_node_id": "node_254", + "improvement_over_parent": null + }, + "node_256": { + "node_id": "node_256", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 171.21 kg\n Factor of Safety: 1.11\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.21219413286016, + "fos_buckling": 1.1096622893920445, + "fos_yielding": 5.247016695152901, + "deflection": 0.016783059363339386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_255", + "improvement_over_parent": null + }, + "node_257": { + "node_id": "node_257", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 211.69 kg\n Factor of Safety: 1.33\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.6942407845598, + "fos_buckling": 1.3292880435139023, + "fos_yielding": 6.490642702193279, + "deflection": 0.013636645302051014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_256", + "improvement_over_parent": null + }, + "node_258": { + "node_id": "node_258", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.37 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.36636528539594, + "fos_buckling": 1.5338834051330648, + "fos_yielding": 7.7412672985015, + "deflection": 0.011492009393732756, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_257", + "improvement_over_parent": null + }, + "node_259": { + "node_id": "node_259", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_258", + "improvement_over_parent": null + }, + "node_260": { + "node_id": "node_260", + "content": "INITIAL DESIGN (Trace 37)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 138.84 kg\n Factor of Safety: 0.59\n Max Deflection: 2.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.84368100918442, + "fos_buckling": 0.590615542405651, + "fos_yielding": 4.092856052954084, + "deflection": 0.024490358510874652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_261": { + "node_id": "node_261", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n Mass: 150.31 kg\n Factor of Safety: 0.99\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.31428133398197, + "fos_buckling": 0.9901004948765596, + "fos_yielding": 4.605401411198189, + "deflection": 0.019069988093701855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004087)" + }, + "parent_node_id": "node_260", + "improvement_over_parent": null + }, + "node_262": { + "node_id": "node_262", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n Mass: 171.42 kg\n Factor of Safety: 1.11\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.42039888946402, + "fos_buckling": 1.1109648186547971, + "fos_yielding": 5.253326453215934, + "deflection": 0.016762559855180378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_261", + "improvement_over_parent": null + }, + "node_263": { + "node_id": "node_263", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 209.44 kg\n Factor of Safety: 1.32\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.44252386455253, + "fos_buckling": 1.317645078638194, + "fos_yielding": 6.421335028876462, + "deflection": 0.01377929632992753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_262", + "improvement_over_parent": null + }, + "node_264": { + "node_id": "node_264", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35571807017303, + "fos_buckling": 1.5340042815034383, + "fos_yielding": 7.740812648079047, + "deflection": 0.011492142223284096, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_263", + "improvement_over_parent": null + }, + "node_265": { + "node_id": "node_265", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_264", + "improvement_over_parent": null + }, + "node_266": { + "node_id": "node_266", + "content": "INITIAL DESIGN (Trace 38)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 201.10 kg\n Factor of Safety: 0.85\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.09923413091698, + "fos_buckling": 0.8498130620443417, + "fos_yielding": 5.242258342840942, + "deflection": 0.015727779194798994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_267": { + "node_id": "node_267", + "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 207.84 kg\n Factor of Safety: 0.85\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.8433068405775, + "fos_buckling": 0.8492665041434891, + "fos_yielding": 5.026550340963989, + "deflection": 0.015351997962947714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.447)" + }, + "parent_node_id": "node_266", + "improvement_over_parent": null + }, + "node_268": { + "node_id": "node_268", + "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 215.86 kg\n Factor of Safety: 0.85\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.8558089608549, + "fos_buckling": 0.8486180624080869, + "fos_yielding": 5.372132317553411, + "deflection": 0.01463750901688685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.608)" + }, + "parent_node_id": "node_267", + "improvement_over_parent": null + }, + "node_269": { + "node_id": "node_269", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 234.70 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.7038569761671, + "fos_buckling": 0.8440700157272765, + "fos_yielding": 5.044228970758898, + "deflection": 0.013142144442959188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_268", + "improvement_over_parent": null + }, + "node_270": { + "node_id": "node_270", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49533266457152, + "fos_buckling": 1.5345570275288591, + "fos_yielding": 7.744585916644508, + "deflection": 0.01148591666995012, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_269", + "improvement_over_parent": null + }, + "node_271": { + "node_id": "node_271", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_270", + "improvement_over_parent": null + }, + "node_272": { + "node_id": "node_272", + "content": "INITIAL DESIGN (Trace 39)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 162.18 kg\n Factor of Safety: 0.22\n Max Deflection: 9.30e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.18381080270981, + "fos_buckling": 0.2193419481538786, + "fos_yielding": 3.3898310175039783, + "deflection": 9302395098559.635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_273": { + "node_id": "node_273", + "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 162.56 kg\n Factor of Safety: 2.15\n Max Deflection: 8.51e+12 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 162.56464827013446, + "fos_buckling": 2.1518352113748325, + "fos_yielding": 6.779662035007957, + "deflection": 8510756455843.515, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.294)" + }, + "parent_node_id": "node_272", + "improvement_over_parent": null + }, + "node_274": { + "node_id": "node_274", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 194.93 kg\n Factor of Safety: 0.30\n Max Deflection: 6.07e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.93109604825267, + "fos_buckling": 0.3019346061311133, + "fos_yielding": 0.8474577543759946, + "deflection": 60749055331887.6, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_273", + "improvement_over_parent": null + }, + "node_275": { + "node_id": "node_275", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 211.60 kg\n Factor of Safety: 1.21\n Max Deflection: 1.03e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.60137985450973, + "fos_buckling": 1.2077384245244531, + "fos_yielding": 6.779662035007957, + "deflection": 10255060859159.934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_274", + "improvement_over_parent": null + }, + "node_276": { + "node_id": "node_276", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 226.33 kg\n Factor of Safety: 0.36\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.3258874631673, + "fos_buckling": 0.36059557409658904, + "fos_yielding": 5.739258135611964, + "deflection": 0.014391659667948104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_275", + "improvement_over_parent": null + }, + "node_277": { + "node_id": "node_277", + "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 233.85 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.84763355642207, + "fos_buckling": 0.44608141954833797, + "fos_yielding": 5.824092229376394, + "deflection": 0.013535824296038767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.443)" + }, + "parent_node_id": "node_276", + "improvement_over_parent": null + }, + "node_278": { + "node_id": "node_278", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46315961278938, + "fos_buckling": 1.5344468128302862, + "fos_yielding": 7.743810954532977, + "deflection": 0.011487002998134778, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_277", + "improvement_over_parent": null + }, + "node_279": { + "node_id": "node_279", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_278", + "improvement_over_parent": null + }, + "node_280": { + "node_id": "node_280", + "content": "INITIAL DESIGN (Trace 40)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 159.44 kg\n Factor of Safety: 0.37\n Max Deflection: 2.23e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.44014856244405, + "fos_buckling": 0.36841813091828146, + "fos_yielding": 1.694915508751989, + "deflection": 22268140016653.21, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_281": { + "node_id": "node_281", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n\nPerformance:\n Mass: 177.36 kg\n Factor of Safety: 0.16\n Max Deflection: 4.50e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.35513757748134, + "fos_buckling": 0.15789348467926348, + "fos_yielding": 0.8474577543759945, + "deflection": 45044550913386.27, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005206)" + }, + "parent_node_id": "node_280", + "improvement_over_parent": null + }, + "node_282": { + "node_id": "node_282", + "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n\nPerformance:\n Mass: 186.05 kg\n Factor of Safety: 0.03\n Max Deflection: 1.07e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.0486274230722, + "fos_buckling": 0.02710881283470145, + "fos_yielding": 0.42372887718799723, + "deflection": 106724473363685.38, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.531)" + }, + "parent_node_id": "node_281", + "improvement_over_parent": null + }, + "node_283": { + "node_id": "node_283", + "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0094)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n\nPerformance:\n Mass: 193.35 kg\n Factor of Safety: 0.05\n Max Deflection: 5.84e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.35452484456712, + "fos_buckling": 0.0542176256694029, + "fos_yielding": 0.8474577543759945, + "deflection": 58373803806256.86, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.393)" + }, + "parent_node_id": "node_282", + "improvement_over_parent": null + }, + "node_284": { + "node_id": "node_284", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0094)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n\nPerformance:\n Mass: 208.33 kg\n Factor of Safety: 0.41\n Max Deflection: 2.63e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.33275936569493, + "fos_buckling": 0.4054965581735766, + "fos_yielding": 1.7378519332072195, + "deflection": 0.026332143463620204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005679)" + }, + "parent_node_id": "node_283", + "improvement_over_parent": null + }, + "node_285": { + "node_id": "node_285", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0105)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0090)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 231.72 kg\n Factor of Safety: 0.44\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.71613655952814, + "fos_buckling": 0.4421493347331245, + "fos_yielding": 1.927269888519876, + "deflection": 0.023739196814200298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_284", + "improvement_over_parent": null + }, + "node_286": { + "node_id": "node_286", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0105)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0090)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 256.84 kg\n Factor of Safety: 1.26\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.838278211375, + "fos_buckling": 1.2613860380459292, + "fos_yielding": 7.585708537070471, + "deflection": 0.011343059320787621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_285", + "improvement_over_parent": null + }, + "node_287": { + "node_id": "node_287", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_286", + "improvement_over_parent": null + }, + "node_288": { + "node_id": "node_288", + "content": "INITIAL DESIGN (Trace 41)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 136.14 kg\n Factor of Safety: 0.54\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.13602651499434, + "fos_buckling": 0.5364874083986964, + "fos_yielding": 2.9686190415702445, + "deflection": 0.022379729623530978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_289": { + "node_id": "node_289", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 162.79 kg\n Factor of Safety: 0.63\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.78522968707983, + "fos_buckling": 0.6261526393623353, + "fos_yielding": 3.535849589093515, + "deflection": 0.0187787493102642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_288", + "improvement_over_parent": null + }, + "node_290": { + "node_id": "node_290", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 202.53 kg\n Factor of Safety: 0.75\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.52970308425975, + "fos_buckling": 0.7508909362601875, + "fos_yielding": 4.373615312226669, + "deflection": 0.015168829034757317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_289", + "improvement_over_parent": null + }, + "node_291": { + "node_id": "node_291", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 234.79 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.79162723005533, + "fos_buckling": 0.8443769831364498, + "fos_yielding": 5.046543527238861, + "deflection": 0.01313720416615475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_290", + "improvement_over_parent": null + }, + "node_292": { + "node_id": "node_292", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.58310291845976, + "fos_buckling": 1.5351376664781524, + "fos_yielding": 7.748067140086378, + "deflection": 0.011481901954381318, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_291", + "improvement_over_parent": null + }, + "node_293": { + "node_id": "node_293", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_292", + "improvement_over_parent": null + }, + "node_294": { + "node_id": "node_294", + "content": "INITIAL DESIGN (Trace 42)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 162.67 kg\n Factor of Safety: 0.46\n Max Deflection: 1.21e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.6727053535697, + "fos_buckling": 0.4575490387025321, + "fos_yielding": 3.389831017503978, + "deflection": 12121799945590.281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_295": { + "node_id": "node_295", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 179.58 kg\n Factor of Safety: 0.61\n Max Deflection: 2.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.57957237140107, + "fos_buckling": 0.611017686373796, + "fos_yielding": 3.415041085973143, + "deflection": 0.022305091765988872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006183)" + }, + "parent_node_id": "node_294", + "improvement_over_parent": null + }, + "node_296": { + "node_id": "node_296", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 204.63 kg\n Factor of Safety: 0.68\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.63421840393124, + "fos_buckling": 0.679451042618866, + "fos_yielding": 3.8854515163801766, + "deflection": 0.019624802466048363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_295", + "improvement_over_parent": null + }, + "node_297": { + "node_id": "node_297", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 231.77 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.7727419723137, + "fos_buckling": 0.9017364396352066, + "fos_yielding": 3.889585557206693, + "deflection": 0.012789258303251717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_296", + "improvement_over_parent": null + }, + "node_298": { + "node_id": "node_298", + "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 232.52 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.52206987949742, + "fos_buckling": 0.9017364396352067, + "fos_yielding": 3.964512134154564, + "deflection": 0.01275296418519951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.531)" + }, + "parent_node_id": "node_297", + "improvement_over_parent": null + }, + "node_299": { + "node_id": "node_299", + "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0074)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 235.06 kg\n Factor of Safety: 0.90\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.05532520789163, + "fos_buckling": 0.9019621668034763, + "fos_yielding": 4.122981187380774, + "deflection": 0.012683900264452616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.193)" + }, + "parent_node_id": "node_298", + "improvement_over_parent": null + }, + "node_300": { + "node_id": "node_300", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0074)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 251.73 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.7256090141487, + "fos_buckling": 1.4251443539785842, + "fos_yielding": 7.9544861329883245, + "deflection": 0.011714956165299377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_299", + "improvement_over_parent": null + }, + "node_301": { + "node_id": "node_301", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_300", + "improvement_over_parent": null + }, + "node_302": { + "node_id": "node_302", + "content": "INITIAL DESIGN (Trace 43)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 201.42 kg\n Factor of Safety: 0.70\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.42037726363196, + "fos_buckling": 0.7006911446923151, + "fos_yielding": 3.2009992426404166, + "deflection": 0.018961557978849443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_303": { + "node_id": "node_303", + "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 206.23 kg\n Factor of Safety: 0.70\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.22654188376464, + "fos_buckling": 0.703355905557774, + "fos_yielding": 2.9976688016199917, + "deflection": 0.018810262918755045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.479)" + }, + "parent_node_id": "node_302", + "improvement_over_parent": null + }, + "node_304": { + "node_id": "node_304", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 206.37 kg\n Factor of Safety: 0.70\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.3742097124882, + "fos_buckling": 0.695335757232037, + "fos_yielding": 3.773649679471007, + "deflection": 0.018702657710462443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.359)" + }, + "parent_node_id": "node_303", + "improvement_over_parent": null + }, + "node_305": { + "node_id": "node_305", + "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 209.81 kg\n Factor of Safety: 0.69\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.80845685429964, + "fos_buckling": 0.6931282503559153, + "fos_yielding": 3.754299680786947, + "deflection": 0.018698932595073568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.230)" + }, + "parent_node_id": "node_304", + "improvement_over_parent": null + }, + "node_306": { + "node_id": "node_306", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.74 kg\n Factor of Safety: 0.80\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.73726706668685, + "fos_buckling": 0.8019976941654245, + "fos_yielding": 4.46757967908056, + "deflection": 0.01575917961406899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_305", + "improvement_over_parent": null + }, + "node_307": { + "node_id": "node_307", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.28 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.283259227749, + "fos_buckling": 1.5336642259666717, + "fos_yielding": 7.744039277177425, + "deflection": 0.011494924286120345, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_306", + "improvement_over_parent": null + }, + "node_308": { + "node_id": "node_308", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_307", + "improvement_over_parent": null + }, + "node_309": { + "node_id": "node_309", + "content": "INITIAL DESIGN (Trace 44)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 202.78 kg\n Factor of Safety: 0.37\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.77785164990237, + "fos_buckling": 0.36710014725937773, + "fos_yielding": 4.76049158631843, + "deflection": 0.015869312683035028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_310": { + "node_id": "node_310", + "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 207.07 kg\n Factor of Safety: 0.37\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.06800837182195, + "fos_buckling": 0.3666334059077719, + "fos_yielding": 4.762332906019722, + "deflection": 0.015070261448074532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.443)" + }, + "parent_node_id": "node_309", + "improvement_over_parent": null + }, + "node_311": { + "node_id": "node_311", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n Mass: 223.77 kg\n Factor of Safety: 1.39\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.77204142494995, + "fos_buckling": 1.391823153234062, + "fos_yielding": 6.861193634265445, + "deflection": 0.012918296216709833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005949)" + }, + "parent_node_id": "node_310", + "improvement_over_parent": null + }, + "node_312": { + "node_id": "node_312", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.69 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.68838326802185, + "fos_buckling": 1.5355565223996852, + "fos_yielding": 7.750383278989652, + "deflection": 0.011477691429250305, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_311", + "improvement_over_parent": null + }, + "node_313": { + "node_id": "node_313", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_312", + "improvement_over_parent": null + }, + "node_314": { + "node_id": "node_314", + "content": "INITIAL DESIGN (Trace 45)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 163.18 kg\n Factor of Safety: 0.00\n Max Deflection: 7.28e+15 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.1809831702837, + "fos_buckling": 0.0016183903905936062, + "fos_yielding": 0.011676934638644693, + "deflection": 7283849429684835.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_315": { + "node_id": "node_315", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n Mass: 185.51 kg\n Factor of Safety: 0.20\n Max Deflection: 3.45e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.50713288768628, + "fos_buckling": 0.19631438846865448, + "fos_yielding": 0.8474577543759945, + "deflection": 34475338147258.8, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007158)" + }, + "parent_node_id": "node_314", + "improvement_over_parent": null + }, + "node_316": { + "node_id": "node_316", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 208.87 kg\n Factor of Safety: 0.34\n Max Deflection: 3.40e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.87455031042455, + "fos_buckling": 0.33871532611651073, + "fos_yielding": 0.8474577543759945, + "deflection": 33970875768374.89, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_315", + "improvement_over_parent": null + }, + "node_317": { + "node_id": "node_317", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0111)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 218.42 kg\n Factor of Safety: 0.62\n Max Deflection: 9.60e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.41650493304272, + "fos_buckling": 0.6156366830048533, + "fos_yielding": 3.389831017503978, + "deflection": 9603151361492.057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.473)" + }, + "parent_node_id": "node_316", + "improvement_over_parent": null + }, + "node_318": { + "node_id": "node_318", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0111)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 235.09 kg\n Factor of Safety: 0.41\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.08678873929978, + "fos_buckling": 0.40528130535676604, + "fos_yielding": 4.9055666972072585, + "deflection": 0.013715750143111606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_317", + "improvement_over_parent": null + }, + "node_319": { + "node_id": "node_319", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0111)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 253.93 kg\n Factor of Safety: 1.32\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.93483675461198, + "fos_buckling": 1.3187188400268282, + "fos_yielding": 6.836631352855866, + "deflection": 0.01176696061722186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_318", + "improvement_over_parent": null + }, + "node_320": { + "node_id": "node_320", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_319", + "improvement_over_parent": null + }, + "node_321": { + "node_id": "node_321", + "content": "INITIAL DESIGN (Trace 46)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 217.31 kg\n Factor of Safety: 1.28\n Max Deflection: 3.98e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.3087303924058, + "fos_buckling": 1.2818703063239691, + "fos_yielding": 2.682194255516964, + "deflection": 39844112578583.77, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_322": { + "node_id": "node_322", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 235.10 kg\n Factor of Safety: 0.79\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.10020608081024, + "fos_buckling": 0.7892125164865594, + "fos_yielding": 5.931242339109448, + "deflection": 0.014214732856569882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_321", + "improvement_over_parent": null + }, + "node_323": { + "node_id": "node_323", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 251.77 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.7704898870673, + "fos_buckling": 1.497502274489095, + "fos_yielding": 7.427547939517286, + "deflection": 0.011521765654353795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_322", + "improvement_over_parent": null + }, + "node_324": { + "node_id": "node_324", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47481073398833, + "fos_buckling": 1.5345683700176413, + "fos_yielding": 7.74443191243213, + "deflection": 0.01148690585442867, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_323", + "improvement_over_parent": null + }, + "node_325": { + "node_id": "node_325", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_324", + "improvement_over_parent": null + }, + "node_326": { + "node_id": "node_326", + "content": "INITIAL DESIGN (Trace 47)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 203.08 kg\n Factor of Safety: 0.81\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.07883401613526, + "fos_buckling": 0.8116981373608206, + "fos_yielding": 4.828033737003571, + "deflection": 0.014503216174023099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_327": { + "node_id": "node_327", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 230.67 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.66941771788785, + "fos_buckling": 0.9020936076684287, + "fos_yielding": 5.475118807621109, + "deflection": 0.012804274574486758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_326", + "improvement_over_parent": null + }, + "node_328": { + "node_id": "node_328", + "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 235.71 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.70850294278236, + "fos_buckling": 0.9016445105739825, + "fos_yielding": 5.472418496188731, + "deflection": 0.01255436531772545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.389)" + }, + "parent_node_id": "node_327", + "improvement_over_parent": null + }, + "node_329": { + "node_id": "node_329", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.38 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.37878674903942, + "fos_buckling": 1.5340224113202934, + "fos_yielding": 7.74161661711474, + "deflection": 0.011491272600524727, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_328", + "improvement_over_parent": null + }, + "node_330": { + "node_id": "node_330", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_329", + "improvement_over_parent": null + }, + "node_331": { + "node_id": "node_331", + "content": "INITIAL DESIGN (Trace 48)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 185.31 kg\n Factor of Safety: 0.62\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.31287688175863, + "fos_buckling": 0.6226383426896, + "fos_yielding": 3.317070872195316, + "deflection": 0.021130625243972665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_332": { + "node_id": "node_332", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 206.64 kg\n Factor of Safety: 0.68\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.63509551485313, + "fos_buckling": 0.6841029167010187, + "fos_yielding": 3.698196276017575, + "deflection": 0.018982393286255634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_331", + "improvement_over_parent": null + }, + "node_333": { + "node_id": "node_333", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.91 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.9131187600096, + "fos_buckling": 0.8023977492373844, + "fos_yielding": 4.471430782715438, + "deflection": 0.015749192016683972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_332", + "improvement_over_parent": null + }, + "node_334": { + "node_id": "node_334", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n Mass: 251.65 kg\n Factor of Safety: 1.32\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.64931253542835, + "fos_buckling": 1.316856714858343, + "fos_yielding": 5.484097142422893, + "deflection": 0.011644084245033154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002688)" + }, + "parent_node_id": "node_333", + "improvement_over_parent": null + }, + "node_335": { + "node_id": "node_335", + "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n Mass: 251.96 kg\n Factor of Safety: 1.32\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.9609636182288, + "fos_buckling": 1.3218139384656071, + "fos_yielding": 5.504741678394199, + "deflection": 0.011640843851203706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.513)" + }, + "parent_node_id": "node_334", + "improvement_over_parent": null + }, + "node_336": { + "node_id": "node_336", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_335", + "improvement_over_parent": null + }, + "node_337": { + "node_id": "node_337", + "content": "INITIAL DESIGN (Trace 49)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 196.72 kg\n Factor of Safety: 1.04\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.71856805677928, + "fos_buckling": 1.0423094389236203, + "fos_yielding": 5.925368383741326, + "deflection": 0.014969125806469157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_338": { + "node_id": "node_338", + "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 197.19 kg\n Factor of Safety: 1.27\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.18520174177718, + "fos_buckling": 1.2716870568792036, + "fos_yielding": 5.933330734431873, + "deflection": 0.014912732408451005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.597)" + }, + "parent_node_id": "node_337", + "improvement_over_parent": null + }, + "node_339": { + "node_id": "node_339", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 219.04 kg\n Factor of Safety: 1.39\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.03585506703777, + "fos_buckling": 1.387828281091339, + "fos_yielding": 6.5927320174609125, + "deflection": 0.013455679448457583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_338", + "improvement_over_parent": null + }, + "node_340": { + "node_id": "node_340", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 223.34 kg\n Factor of Safety: 1.39\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.3400741841007, + "fos_buckling": 1.3897002261562716, + "fos_yielding": 6.848429412238907, + "deflection": 0.012942669072666597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.248)" + }, + "parent_node_id": "node_339", + "improvement_over_parent": null + }, + "node_341": { + "node_id": "node_341", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.41 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.40782081739246, + "fos_buckling": 1.5342913337337294, + "fos_yielding": 7.742323795023944, + "deflection": 0.011490103555922357, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_340", + "improvement_over_parent": null + }, + "node_342": { + "node_id": "node_342", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_341", + "improvement_over_parent": null + }, + "node_343": { + "node_id": "node_343", + "content": "INITIAL DESIGN (Trace 50)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n Mass: 173.38 kg\n Factor of Safety: 0.18\n Max Deflection: 1.03e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.3831497346452, + "fos_buckling": 0.18434055026903498, + "fos_yielding": 0.8474577543759945, + "deflection": 102587561612553.38, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_344": { + "node_id": "node_344", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n\nPerformance:\n Mass: 183.38 kg\n Factor of Safety: 0.38\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.38080502796663, + "fos_buckling": 0.37854367190047433, + "fos_yielding": 5.135334303689783, + "deflection": 0.019755980388603822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003557)" + }, + "parent_node_id": "node_343", + "improvement_over_parent": null + }, + "node_345": { + "node_id": "node_345", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 200.12 kg\n Factor of Safety: 0.84\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.12215078415164, + "fos_buckling": 0.8411090173605871, + "fos_yielding": 6.142571357477158, + "deflection": 0.016552371832932733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006007)" + }, + "parent_node_id": "node_344", + "improvement_over_parent": null + }, + "node_346": { + "node_id": "node_346", + "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 206.12 kg\n Factor of Safety: 0.84\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.11600413157257, + "fos_buckling": 0.840864446025706, + "fos_yielding": 6.140785266916384, + "deflection": 0.016338694694900454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.650)" + }, + "parent_node_id": "node_345", + "improvement_over_parent": null + }, + "node_347": { + "node_id": "node_347", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n Mass: 220.35 kg\n Factor of Safety: 1.31\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.34686516138055, + "fos_buckling": 1.3136314040830832, + "fos_yielding": 7.474953900898539, + "deflection": 0.013118553360631112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004445)" + }, + "parent_node_id": "node_346", + "improvement_over_parent": null + }, + "node_348": { + "node_id": "node_348", + "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n Mass: 227.08 kg\n Factor of Safety: 1.31\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.07980824191213, + "fos_buckling": 1.3106165314002356, + "fos_yielding": 7.2206122504757815, + "deflection": 0.01300878414056352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.511)" + }, + "parent_node_id": "node_347", + "improvement_over_parent": null + }, + "node_349": { + "node_id": "node_349", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0096)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n\nPerformance:\n Mass: 252.21 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.21046777830153, + "fos_buckling": 1.427825886553576, + "fos_yielding": 8.02441409401995, + "deflection": 0.011741118617989677, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_348", + "improvement_over_parent": null + }, + "node_350": { + "node_id": "node_350", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_349", + "improvement_over_parent": null + }, + "node_351": { + "node_id": "node_351", + "content": "INITIAL DESIGN (Trace 51)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n Mass: 145.93 kg\n Factor of Safety: 0.03\n Max Deflection: 7.10e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.92501810978442, + "fos_buckling": 0.027847014346160423, + "fos_yielding": 0.4237288771879973, + "deflection": 70971527397781.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_352": { + "node_id": "node_352", + "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n Mass: 150.09 kg\n Factor of Safety: 0.23\n Max Deflection: 6.39e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.08501344542515, + "fos_buckling": 0.23382033697621882, + "fos_yielding": 0.21186443859399864, + "deflection": 63906121776804.016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.337)" + }, + "parent_node_id": "node_351", + "improvement_over_parent": null + }, + "node_353": { + "node_id": "node_353", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n Mass: 163.34 kg\n Factor of Safety: 0.42\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.33638571184787, + "fos_buckling": 0.415816531467988, + "fos_yielding": 4.405888424756055, + "deflection": 0.018995215248190707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004793)" + }, + "parent_node_id": "node_352", + "improvement_over_parent": null + }, + "node_354": { + "node_id": "node_354", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 182.95 kg\n Factor of Safety: 0.46\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.94674347786145, + "fos_buckling": 0.45585815358975235, + "fos_yielding": 4.910637655888904, + "deflection": 0.017000787005679446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_353", + "improvement_over_parent": null + }, + "node_355": { + "node_id": "node_355", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 189.87 kg\n Factor of Safety: 0.45\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.86834754120042, + "fos_buckling": 0.4505246610699491, + "fos_yielding": 4.907413806458388, + "deflection": 0.01626898494445521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.475)" + }, + "parent_node_id": "node_354", + "improvement_over_parent": null + }, + "node_356": { + "node_id": "node_356", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 227.97 kg\n Factor of Safety: 0.52\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.96913565712322, + "fos_buckling": 0.5195298723438565, + "fos_yielding": 5.840269953968945, + "deflection": 0.013617635047386327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_355", + "improvement_over_parent": null + }, + "node_357": { + "node_id": "node_357", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.58 kg\n Factor of Safety: 1.43\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.58466171349053, + "fos_buckling": 1.42536279323086, + "fos_yielding": 8.136905816435991, + "deflection": 0.01162483257941159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_356", + "improvement_over_parent": null + }, + "node_358": { + "node_id": "node_358", + "content": "MODIFICATION: Increase 12 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.68 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.6801799134212, + "fos_buckling": 1.5351293082288222, + "fos_yielding": 7.751270753345212, + "deflection": 0.0114776489615396, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.631)" + }, + "parent_node_id": "node_357", + "improvement_over_parent": null + }, + "node_359": { + "node_id": "node_359", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_358", + "improvement_over_parent": null + }, + "node_360": { + "node_id": "node_360", + "content": "INITIAL DESIGN (Trace 52)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 219.14 kg\n Factor of Safety: 0.41\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.13590021637464, + "fos_buckling": 0.4063117382441557, + "fos_yielding": 5.658678695326572, + "deflection": 0.01494809483658145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_361": { + "node_id": "node_361", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 237.98 kg\n Factor of Safety: 1.30\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.98394823168684, + "fos_buckling": 1.2975247863314483, + "fos_yielding": 8.204544403723437, + "deflection": 0.012453525322345676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_360", + "improvement_over_parent": null + }, + "node_362": { + "node_id": "node_362", + "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 244.48 kg\n Factor of Safety: 1.42\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.4797310498254, + "fos_buckling": 1.42222734589176, + "fos_yielding": 8.373056427446391, + "deflection": 0.011864782877981308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.383)" + }, + "parent_node_id": "node_361", + "improvement_over_parent": null + }, + "node_363": { + "node_id": "node_363", + "content": "MODIFICATION: Increase 11 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4647434625003, + "fos_buckling": 1.5346643013586072, + "fos_yielding": 7.744980480498203, + "deflection": 0.011487826426062747, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.572)" + }, + "parent_node_id": "node_362", + "improvement_over_parent": null + }, + "node_364": { + "node_id": "node_364", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_363", + "improvement_over_parent": null + }, + "node_365": { + "node_id": "node_365", + "content": "INITIAL DESIGN (Trace 53)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 232.14 kg\n Factor of Safety: 0.83\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.1361299347665, + "fos_buckling": 0.8345555856377437, + "fos_yielding": 2.3966152944137225, + "deflection": 0.017889183736051535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_366": { + "node_id": "node_366", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n Mass: 234.13 kg\n Factor of Safety: 0.84\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.13305493271454, + "fos_buckling": 0.8441597270707226, + "fos_yielding": 4.924685297399046, + "deflection": 0.013246626247010281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003121)" + }, + "parent_node_id": "node_365", + "improvement_over_parent": null + }, + "node_367": { + "node_id": "node_367", + "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0028)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n Mass: 234.32 kg\n Factor of Safety: 0.84\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.32061114196978, + "fos_buckling": 0.8440996987288225, + "fos_yielding": 5.969825999426582, + "deflection": 0.013196741046889969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.302)" + }, + "parent_node_id": "node_366", + "improvement_over_parent": null + }, + "node_368": { + "node_id": "node_368", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0028)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.11 kg\n Factor of Safety: 1.47\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.1120868303742, + "fos_buckling": 1.4689897187882408, + "fos_yielding": 6.226397693138817, + "deflection": 0.011578602636193095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_367", + "improvement_over_parent": null + }, + "node_369": { + "node_id": "node_369", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_368", + "improvement_over_parent": null + }, + "node_370": { + "node_id": "node_370", + "content": "INITIAL DESIGN (Trace 54)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 185.01 kg\n Factor of Safety: 0.55\n Max Deflection: 2.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.01478228441724, + "fos_buckling": 0.5499886361395921, + "fos_yielding": 3.9325066299380067, + "deflection": 0.024802908766748462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_371": { + "node_id": "node_371", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 213.75 kg\n Factor of Safety: 0.63\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.7451189315111, + "fos_buckling": 0.6266155653189571, + "fos_yielding": 4.5486433841861516, + "deflection": 0.021495446081513638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_370", + "improvement_over_parent": null + }, + "node_372": { + "node_id": "node_372", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n\nPerformance:\n Mass: 215.23 kg\n Factor of Safety: 1.03\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.23330319397152, + "fos_buckling": 1.0261276891458049, + "fos_yielding": 4.203517691747621, + "deflection": 0.013819023860844147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002284)" + }, + "parent_node_id": "node_371", + "improvement_over_parent": null + }, + "node_373": { + "node_id": "node_373", + "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0091)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n\nPerformance:\n Mass: 222.13 kg\n Factor of Safety: 0.99\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.12561092459805, + "fos_buckling": 0.9874397500750246, + "fos_yielding": 4.045033091768981, + "deflection": 0.013540660107873234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.376)" + }, + "parent_node_id": "node_372", + "improvement_over_parent": null + }, + "node_374": { + "node_id": "node_374", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0104)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n Mass: 251.77 kg\n Factor of Safety: 1.11\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.76586827095215, + "fos_buckling": 1.1102170243054974, + "fos_yielding": 4.6106984419484744, + "deflection": 0.011977337517807688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_373", + "improvement_over_parent": null + }, + "node_375": { + "node_id": "node_375", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0104)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n Mass: 252.54 kg\n Factor of Safety: 1.11\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.54085838966094, + "fos_buckling": 1.1144592108231137, + "fos_yielding": 4.628316116996706, + "deflection": 0.011942190112267395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.550)" + }, + "parent_node_id": "node_374", + "improvement_over_parent": null + }, + "node_376": { + "node_id": "node_376", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0051)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0104)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 253.25 kg\n Factor of Safety: 1.17\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.24517923658198, + "fos_buckling": 1.165685472861857, + "fos_yielding": 4.84105726705845, + "deflection": 0.011891526714329135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_375", + "improvement_over_parent": null + }, + "node_377": { + "node_id": "node_377", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_376", + "improvement_over_parent": null + }, + "node_378": { + "node_id": "node_378", + "content": "INITIAL DESIGN (Trace 55)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 204.94 kg\n Factor of Safety: 1.18\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.93720929870983, + "fos_buckling": 1.179965980779946, + "fos_yielding": 7.095093256238906, + "deflection": 0.014146822789651266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_379": { + "node_id": "node_379", + "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 209.25 kg\n Factor of Safety: 1.18\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.25090385467817, + "fos_buckling": 1.1801472946226708, + "fos_yielding": 6.835349663770321, + "deflection": 0.013943406433467757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.292)" + }, + "parent_node_id": "node_378", + "improvement_over_parent": null + }, + "node_380": { + "node_id": "node_380", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 213.00 kg\n Factor of Safety: 1.26\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.00451119169944, + "fos_buckling": 1.2619457268490055, + "fos_yielding": 6.71543771199499, + "deflection": 0.013492822062092553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.224)" + }, + "parent_node_id": "node_379", + "improvement_over_parent": null + }, + "node_381": { + "node_id": "node_381", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 244.30 kg\n Factor of Safety: 1.42\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.30468084624067, + "fos_buckling": 1.4214771116306695, + "fos_yielding": 7.699697739027234, + "deflection": 0.011805792200509091, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_380", + "improvement_over_parent": null + }, + "node_382": { + "node_id": "node_382", + "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.01 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 249.01236140095276, + "fos_buckling": 1.5259477921686222, + "fos_yielding": 7.36684905113116, + "deflection": 0.011588356953803896, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.355)" + }, + "parent_node_id": "node_381", + "improvement_over_parent": null + }, + "node_383": { + "node_id": "node_383", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 249.72 kg\n Factor of Safety: 1.45\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.7166822478738, + "fos_buckling": 1.4510660816046905, + "fos_yielding": 7.60607291661227, + "deflection": 0.011566526506473879, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_382", + "improvement_over_parent": null + }, + "node_384": { + "node_id": "node_384", + "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0078)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.54 kg\n Factor of Safety: 1.45\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.54316109527815, + "fos_buckling": 1.4459630722300512, + "fos_yielding": 7.618212733455627, + "deflection": 0.01151505173109293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.178)" + }, + "parent_node_id": "node_383", + "improvement_over_parent": null + }, + "node_385": { + "node_id": "node_385", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_384", + "improvement_over_parent": null + }, + "node_386": { + "node_id": "node_386", + "content": "INITIAL DESIGN (Trace 56)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 211.79 kg\n Factor of Safety: 0.78\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.78986316609215, + "fos_buckling": 0.7794172025154028, + "fos_yielding": 5.858339445983063, + "deflection": 0.01759341955175575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_387": { + "node_id": "node_387", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 214.65 kg\n Factor of Safety: 0.78\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.64771302989158, + "fos_buckling": 0.7789926736971641, + "fos_yielding": 5.855179413038866, + "deflection": 0.01759703478153181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.250)" + }, + "parent_node_id": "node_386", + "improvement_over_parent": null + }, + "node_388": { + "node_id": "node_388", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 231.32 kg\n Factor of Safety: 0.78\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.31799683614867, + "fos_buckling": 0.7752191364873848, + "fos_yielding": 5.827674693408772, + "deflection": 0.01734613906125025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_387", + "improvement_over_parent": null + }, + "node_389": { + "node_id": "node_389", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 233.86 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.8639889972108, + "fos_buckling": 0.4459925441181692, + "fos_yielding": 5.8248887168539945, + "deflection": 0.013535637137627851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_388", + "improvement_over_parent": null + }, + "node_390": { + "node_id": "node_390", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47951505357813, + "fos_buckling": 1.5345624573544965, + "fos_yielding": 7.743864283537117, + "deflection": 0.01148680928047262, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_389", + "improvement_over_parent": null + }, + "node_391": { + "node_id": "node_391", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_390", + "improvement_over_parent": null + }, + "node_392": { + "node_id": "node_392", + "content": "INITIAL DESIGN (Trace 57)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 165.95 kg\n Factor of Safety: 0.34\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.9504929650673, + "fos_buckling": 0.33562481579839504, + "fos_yielding": 4.584749735133456, + "deflection": 0.021506322303014563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_393": { + "node_id": "node_393", + "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 166.31 kg\n Factor of Safety: 0.34\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.31006287792965, + "fos_buckling": 0.33562481579839504, + "fos_yielding": 4.584749735133456, + "deflection": 0.021506322303014563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.414)" + }, + "parent_node_id": "node_392", + "improvement_over_parent": null + }, + "node_394": { + "node_id": "node_394", + "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 166.69 kg\n Factor of Safety: 0.34\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.68929189339644, + "fos_buckling": 0.33562481579839504, + "fos_yielding": 4.584749735133456, + "deflection": 0.021506322303014563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.319)" + }, + "parent_node_id": "node_393", + "improvement_over_parent": null + }, + "node_395": { + "node_id": "node_395", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 181.15 kg\n Factor of Safety: 0.74\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.1485134445238, + "fos_buckling": 0.7438918744511173, + "fos_yielding": 5.31714384183408, + "deflection": 0.018861608969294386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005128)" + }, + "parent_node_id": "node_394", + "improvement_over_parent": null + }, + "node_396": { + "node_id": "node_396", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.30 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.29643686078822, + "fos_buckling": 0.9160780458071622, + "fos_yielding": 6.811938153145818, + "deflection": 0.014732395273953688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_395", + "improvement_over_parent": null + }, + "node_397": { + "node_id": "node_397", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.56267768169553, + "fos_buckling": 1.5349319971565354, + "fos_yielding": 7.748030842814757, + "deflection": 0.011482969754662785, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_396", + "improvement_over_parent": null + }, + "node_398": { + "node_id": "node_398", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_397", + "improvement_over_parent": null + }, + "node_399": { + "node_id": "node_399", + "content": "INITIAL DESIGN (Trace 58)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 103.76 kg\n Factor of Safety: 0.23\n Max Deflection: 5.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.7581217236168, + "fos_buckling": 0.23346083036598625, + "fos_yielding": 0.910896961403844, + "deflection": 0.05966963161441089, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_400": { + "node_id": "node_400", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 123.45 kg\n Factor of Safety: 0.27\n Max Deflection: 5.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.45379312950723, + "fos_buckling": 0.27308373880644704, + "fos_yielding": 1.0806572713561313, + "deflection": 0.05036032318042593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_399", + "improvement_over_parent": null + }, + "node_401": { + "node_id": "node_401", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 157.68 kg\n Factor of Safety: 0.34\n Max Deflection: 3.97e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.68094899827756, + "fos_buckling": 0.3384358122248348, + "fos_yielding": 1.3733117247501707, + "deflection": 0.03971276138366459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_400", + "improvement_over_parent": null + }, + "node_402": { + "node_id": "node_402", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 194.95 kg\n Factor of Safety: 0.40\n Max Deflection: 3.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.95369400675906, + "fos_buckling": 0.4045903103531091, + "fos_yielding": 1.6886315303878614, + "deflection": 0.032367488053672205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_401", + "improvement_over_parent": null + }, + "node_403": { + "node_id": "node_403", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 217.89 kg\n Factor of Safety: 0.44\n Max Deflection: 2.91e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.8922008431718, + "fos_buckling": 0.4427310178238451, + "fos_yielding": 1.8809492701993051, + "deflection": 0.02909479694052135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_402", + "improvement_over_parent": null + }, + "node_404": { + "node_id": "node_404", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 243.01 kg\n Factor of Safety: 0.81\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.01434249501864, + "fos_buckling": 0.80847069371095, + "fos_yielding": 4.527880966688295, + "deflection": 0.01575899109989143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_403", + "improvement_over_parent": null + }, + "node_405": { + "node_id": "node_405", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 245.56 kg\n Factor of Safety: 1.29\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.56033465608078, + "fos_buckling": 1.2949977313134797, + "fos_yielding": 8.338336460496366, + "deflection": 0.011844655597109803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_404", + "improvement_over_parent": null + }, + "node_406": { + "node_id": "node_406", + "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.30669688965236, + "fos_buckling": 1.5335996067803632, + "fos_yielding": 7.743406525476664, + "deflection": 0.011493621779160138, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.592)" + }, + "parent_node_id": "node_405", + "improvement_over_parent": null + }, + "node_407": { + "node_id": "node_407", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_406", + "improvement_over_parent": null + }, + "node_408": { + "node_id": "node_408", + "content": "INITIAL DESIGN (Trace 59)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0022)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 141.51 kg\n Factor of Safety: 0.64\n Max Deflection: 2.30e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.51441834282966, + "fos_buckling": 0.6369311409023151, + "fos_yielding": 4.453037414708558, + "deflection": 0.02301790723582837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_409": { + "node_id": "node_409", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 173.13 kg\n Factor of Safety: 0.76\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.1305171988437, + "fos_buckling": 0.7573321601137643, + "fos_yielding": 5.427561636707663, + "deflection": 0.018886439624409335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_408", + "improvement_over_parent": null + }, + "node_410": { + "node_id": "node_410", + "content": "MODIFICATION: Increase 12 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 176.76 kg\n Factor of Safety: 0.76\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.76295950741326, + "fos_buckling": 0.7569305503107561, + "fos_yielding": 5.4246834254358705, + "deflection": 0.01864254989324775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.484)" + }, + "parent_node_id": "node_409", + "improvement_over_parent": null + }, + "node_411": { + "node_id": "node_411", + "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 181.31 kg\n Factor of Safety: 0.76\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.30627927049733, + "fos_buckling": 0.7565959970522423, + "fos_yielding": 5.422285787349201, + "deflection": 0.01865057907746701, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.351)" + }, + "parent_node_id": "node_410", + "improvement_over_parent": null + }, + "node_412": { + "node_id": "node_412", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 196.57 kg\n Factor of Safety: 1.11\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.56991945804654, + "fos_buckling": 1.1142077317143277, + "fos_yielding": 5.945717486732217, + "deflection": 0.014582970341585212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005537)" + }, + "parent_node_id": "node_411", + "improvement_over_parent": null + }, + "node_413": { + "node_id": "node_413", + "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0067)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 200.62 kg\n Factor of Safety: 1.11\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.61743272654886, + "fos_buckling": 1.1077152420739107, + "fos_yielding": 5.960651699182788, + "deflection": 0.014476325316171722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.316)" + }, + "parent_node_id": "node_412", + "improvement_over_parent": null + }, + "node_414": { + "node_id": "node_414", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0077)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 228.09 kg\n Factor of Safety: 1.24\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.09441591966635, + "fos_buckling": 1.2434969470191013, + "fos_yielding": 6.782600529021788, + "deflection": 0.01276871124026234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_413", + "improvement_over_parent": null + }, + "node_415": { + "node_id": "node_415", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0087)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.96 kg\n Factor of Safety: 1.36\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.9627926106826, + "fos_buckling": 1.363006846504942, + "fos_yielding": 7.527800517554946, + "deflection": 0.011542955529799157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_414", + "improvement_over_parent": null + }, + "node_416": { + "node_id": "node_416", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_415", + "improvement_over_parent": null + }, + "node_417": { + "node_id": "node_417", + "content": "INITIAL DESIGN (Trace 60)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 143.47 kg\n Factor of Safety: 0.80\n Max Deflection: 9.32e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.47359130056438, + "fos_buckling": 0.7983471650209442, + "fos_yielding": 3.3898310175039783, + "deflection": 9322412084602.568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_418": { + "node_id": "node_418", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 144.03 kg\n Factor of Safety: 0.80\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.03336616297926, + "fos_buckling": 0.7983471650209442, + "fos_yielding": 3.3898310175039783, + "deflection": 10201762418692.906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001665)" + }, + "parent_node_id": "node_417", + "improvement_over_parent": null + }, + "node_419": { + "node_id": "node_419", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n\nPerformance:\n Mass: 159.01 kg\n Factor of Safety: 0.37\n Max Deflection: 3.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.00610918403356, + "fos_buckling": 0.36688346663948823, + "fos_yielding": 1.4594647757856212, + "deflection": 0.035836700179721404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005286)" + }, + "parent_node_id": "node_418", + "improvement_over_parent": null + }, + "node_420": { + "node_id": "node_420", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n\nPerformance:\n Mass: 162.13 kg\n Factor of Safety: 0.37\n Max Deflection: 3.56e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.13205851385825, + "fos_buckling": 0.3668275325018731, + "fos_yielding": 1.5063076659712977, + "deflection": 0.035585074766797266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.391)" + }, + "parent_node_id": "node_419", + "improvement_over_parent": null + }, + "node_421": { + "node_id": "node_421", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 182.09 kg\n Factor of Safety: 0.76\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.0913151492944, + "fos_buckling": 0.758430269654383, + "fos_yielding": 5.437748513084491, + "deflection": 0.018444708453508683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006342)" + }, + "parent_node_id": "node_420", + "improvement_over_parent": null + }, + "node_422": { + "node_id": "node_422", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 229.20 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.19645391155018, + "fos_buckling": 0.9161531872420872, + "fos_yielding": 6.812023741603255, + "deflection": 0.014732724416094823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_421", + "improvement_over_parent": null + }, + "node_423": { + "node_id": "node_423", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.48229351364742, + "fos_buckling": 1.5345792539303873, + "fos_yielding": 7.744414525192278, + "deflection": 0.011486682911885494, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_422", + "improvement_over_parent": null + }, + "node_424": { + "node_id": "node_424", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_423", + "improvement_over_parent": null + }, + "node_425": { + "node_id": "node_425", + "content": "INITIAL DESIGN (Trace 61)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 226.33 kg\n Factor of Safety: 0.85\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.3264334114298, + "fos_buckling": 0.8458916181617877, + "fos_yielding": 4.4255714712692, + "deflection": 0.013336776785790998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_426": { + "node_id": "node_426", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 241.05 kg\n Factor of Safety: 1.44\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.05094102008738, + "fos_buckling": 1.438949026718675, + "fos_yielding": 8.085391164731154, + "deflection": 0.011784208047839055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_425", + "improvement_over_parent": null + }, + "node_427": { + "node_id": "node_427", + "content": "MODIFICATION: Increase 14 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0100)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 248.85 kg\n Factor of Safety: 1.45\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.84511571950634, + "fos_buckling": 1.449870673022021, + "fos_yielding": 8.05744074816025, + "deflection": 0.01162730713124165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.484)" + }, + "parent_node_id": "node_426", + "improvement_over_parent": null + }, + "node_428": { + "node_id": "node_428", + "content": "MODIFICATION: Increase 12 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0110)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0100)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 258.75 kg\n Factor of Safety: 1.54\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.7495323007618, + "fos_buckling": 1.539568288525471, + "fos_yielding": 8.399673225719042, + "deflection": 0.011422552994800694, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.616)" + }, + "parent_node_id": "node_427", + "improvement_over_parent": null + }, + "node_429": { + "node_id": "node_429", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_428", + "improvement_over_parent": null + }, + "node_430": { + "node_id": "node_430", + "content": "INITIAL DESIGN (Trace 62)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 180.58 kg\n Factor of Safety: 0.30\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.58039571540488, + "fos_buckling": 0.3006870444184212, + "fos_yielding": 4.631221469231384, + "deflection": 0.01721795720602426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_431": { + "node_id": "node_431", + "content": "MODIFICATION: Increase 13 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 184.23 kg\n Factor of Safety: 0.35\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.22510982750345, + "fos_buckling": 0.34823076414407333, + "fos_yielding": 4.7979207700872575, + "deflection": 0.01692802848920098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.418)" + }, + "parent_node_id": "node_430", + "improvement_over_parent": null + }, + "node_432": { + "node_id": "node_432", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 226.29 kg\n Factor of Safety: 0.41\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.29181536143486, + "fos_buckling": 0.4111536654453268, + "fos_yielding": 5.834166989695724, + "deflection": 0.013856235700883913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_431", + "improvement_over_parent": null + }, + "node_433": { + "node_id": "node_433", + "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 230.96 kg\n Factor of Safety: 0.41\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.96023760809558, + "fos_buckling": 0.41307536441931797, + "fos_yielding": 5.831607811133954, + "deflection": 0.01363955255630071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.351)" + }, + "parent_node_id": "node_432", + "improvement_over_parent": null + }, + "node_434": { + "node_id": "node_434", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.58 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.5757636644629, + "fos_buckling": 1.4353858688694539, + "fos_yielding": 7.593737124054083, + "deflection": 0.011568003227347357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_433", + "improvement_over_parent": null + }, + "node_435": { + "node_id": "node_435", + "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55483599355702, + "fos_buckling": 1.5348902187159568, + "fos_yielding": 7.748013589264954, + "deflection": 0.011483373237858781, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.206)" + }, + "parent_node_id": "node_434", + "improvement_over_parent": null + }, + "node_436": { + "node_id": "node_436", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_435", + "improvement_over_parent": null + }, + "node_437": { + "node_id": "node_437", + "content": "INITIAL DESIGN (Trace 63)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 194.48 kg\n Factor of Safety: 0.49\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.47727661940706, + "fos_buckling": 0.4925028503033064, + "fos_yielding": 4.031259659771062, + "deflection": 0.02061557429001846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_438": { + "node_id": "node_438", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n Mass: 196.56 kg\n Factor of Safety: 0.94\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.55856231629423, + "fos_buckling": 0.9444056131127968, + "fos_yielding": 6.251516501588663, + "deflection": 0.014890864953390343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003263)" + }, + "parent_node_id": "node_437", + "improvement_over_parent": null + }, + "node_439": { + "node_id": "node_439", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n Mass: 201.04 kg\n Factor of Safety: 1.04\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.03661736410606, + "fos_buckling": 1.0424890252452261, + "fos_yielding": 6.009075206892711, + "deflection": 0.014254442944844771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.300)" + }, + "parent_node_id": "node_438", + "improvement_over_parent": null + }, + "node_440": { + "node_id": "node_440", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 245.98 kg\n Factor of Safety: 1.25\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.9766116312652, + "fos_buckling": 1.2537601487196068, + "fos_yielding": 7.360618574827953, + "deflection": 0.01170813368527676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_439", + "improvement_over_parent": null + }, + "node_441": { + "node_id": "node_441", + "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 254.62 kg\n Factor of Safety: 1.24\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.62482801472035, + "fos_buckling": 1.2431721582173858, + "fos_yielding": 7.386582330952528, + "deflection": 0.011583709687496372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.567)" + }, + "parent_node_id": "node_440", + "improvement_over_parent": null + }, + "node_442": { + "node_id": "node_442", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_441", + "improvement_over_parent": null + }, + "node_443": { + "node_id": "node_443", + "content": "INITIAL DESIGN (Trace 64)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 142.67 kg\n Factor of Safety: 0.63\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.66685720397047, + "fos_buckling": 0.6337700203389554, + "fos_yielding": 3.1457735734236816, + "deflection": 0.025336913467523394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_444": { + "node_id": "node_444", + "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 142.99 kg\n Factor of Safety: 0.63\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.99255506255108, + "fos_buckling": 0.6337700203389556, + "fos_yielding": 3.145773573423681, + "deflection": 0.025289472449237856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.471)" + }, + "parent_node_id": "node_443", + "improvement_over_parent": null + }, + "node_445": { + "node_id": "node_445", + "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 146.14 kg\n Factor of Safety: 0.63\n Max Deflection: 2.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.13722325511156, + "fos_buckling": 0.6336727490154095, + "fos_yielding": 3.1452907586024677, + "deflection": 0.025094291907763574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.399)" + }, + "parent_node_id": "node_444", + "improvement_over_parent": null + }, + "node_446": { + "node_id": "node_446", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 186.26 kg\n Factor of Safety: 0.78\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.2564209760081, + "fos_buckling": 0.7800000259123036, + "fos_yielding": 4.011574295119638, + "deflection": 0.019751632746219334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_445", + "improvement_over_parent": null + }, + "node_447": { + "node_id": "node_447", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 202.09 kg\n Factor of Safety: 1.29\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.09055417527918, + "fos_buckling": 1.28742806285787, + "fos_yielding": 5.943719533679284, + "deflection": 0.014534548842197709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005760)" + }, + "parent_node_id": "node_446", + "improvement_over_parent": null + }, + "node_448": { + "node_id": "node_448", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 245.98 kg\n Factor of Safety: 1.51\n Max Deflection: 1.20e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 245.98235830313283, + "fos_buckling": 1.5134084905204954, + "fos_yielding": 7.240996491429374, + "deflection": 0.011995966037308672, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_447", + "improvement_over_parent": null + }, + "node_449": { + "node_id": "node_449", + "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.310528030496, + "fos_buckling": 1.5338329209269623, + "fos_yielding": 7.737874167515721, + "deflection": 0.011494513717743581, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.431)" + }, + "parent_node_id": "node_448", + "improvement_over_parent": null + }, + "node_450": { + "node_id": "node_450", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_449", + "improvement_over_parent": null + }, + "node_451": { + "node_id": "node_451", + "content": "INITIAL DESIGN (Trace 65)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n Mass: 119.54 kg\n Factor of Safety: 0.31\n Max Deflection: 2.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.54055822818722, + "fos_buckling": 0.3130661900358195, + "fos_yielding": 3.217989612628864, + "deflection": 0.026378446642693044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_452": { + "node_id": "node_452", + "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n Mass: 123.01 kg\n Factor of Safety: 0.31\n Max Deflection: 2.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.01299945106021, + "fos_buckling": 0.310119266039642, + "fos_yielding": 3.2169135841652854, + "deflection": 0.025558758012845108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.326)" + }, + "parent_node_id": "node_451", + "improvement_over_parent": null + }, + "node_453": { + "node_id": "node_453", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n\nPerformance:\n Mass: 159.06 kg\n Factor of Safety: 0.39\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.06239477510093, + "fos_buckling": 0.38677973990681874, + "fos_yielding": 4.124463581221544, + "deflection": 0.019854712365369846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_452", + "improvement_over_parent": null + }, + "node_454": { + "node_id": "node_454", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 172.01 kg\n Factor of Safety: 0.99\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.0136972776809, + "fos_buckling": 0.9922936141598245, + "fos_yielding": 5.626207556782379, + "deflection": 0.017015272988862885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004559)" + }, + "parent_node_id": "node_453", + "improvement_over_parent": null + }, + "node_455": { + "node_id": "node_455", + "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 175.73 kg\n Factor of Safety: 1.14\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.73131672955418, + "fos_buckling": 1.1354381497287256, + "fos_yielding": 5.38648820786894, + "deflection": 0.016359195227639192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.287)" + }, + "parent_node_id": "node_454", + "improvement_over_parent": null + }, + "node_456": { + "node_id": "node_456", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 205.30 kg\n Factor of Safety: 1.30\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.29576466736745, + "fos_buckling": 1.2961473959712027, + "fos_yielding": 6.29480908514443, + "deflection": 0.014050767876024883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_455", + "improvement_over_parent": null + }, + "node_457": { + "node_id": "node_457", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.60 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5962470125418, + "fos_buckling": 1.5355548992383, + "fos_yielding": 7.749311356469061, + "deflection": 0.011481352935183391, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_456", + "improvement_over_parent": null + }, + "node_458": { + "node_id": "node_458", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_457", + "improvement_over_parent": null + }, + "node_459": { + "node_id": "node_459", + "content": "INITIAL DESIGN (Trace 66)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_460": { + "node_id": "node_460", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n Mass: 164.05 kg\n Factor of Safety: 0.65\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.04528209703093, + "fos_buckling": 0.6520339554864892, + "fos_yielding": 3.726406340803456, + "deflection": 0.018688899576944484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004415)" + }, + "parent_node_id": "node_459", + "improvement_over_parent": null + }, + "node_461": { + "node_id": "node_461", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n Mass: 201.65 kg\n Factor of Safety: 0.77\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.64860619229387, + "fos_buckling": 0.7726904395087519, + "fos_yielding": 4.552727411635655, + "deflection": 0.015274203669353913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_460", + "improvement_over_parent": null + }, + "node_462": { + "node_id": "node_462", + "content": "MODIFICATION: Increase 11 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0081)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n Mass: 207.36 kg\n Factor of Safety: 0.77\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.3604145255531, + "fos_buckling": 0.771430500485898, + "fos_yielding": 4.974079513465628, + "deflection": 0.01514231224123631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.433)" + }, + "parent_node_id": "node_461", + "improvement_over_parent": null + }, + "node_463": { + "node_id": "node_463", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0081)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n Mass: 209.39 kg\n Factor of Safety: 0.77\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.39335025374382, + "fos_buckling": 0.771132146695043, + "fos_yielding": 4.969534471143149, + "deflection": 0.014864148372615491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.188)" + }, + "parent_node_id": "node_462", + "improvement_over_parent": null + }, + "node_464": { + "node_id": "node_464", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0091)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 234.30 kg\n Factor of Safety: 0.84\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.29550258865765, + "fos_buckling": 0.8428170054395668, + "fos_yielding": 5.532959589415159, + "deflection": 0.01332152343570732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_463", + "improvement_over_parent": null + }, + "node_465": { + "node_id": "node_465", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0091)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.09 kg\n Factor of Safety: 1.44\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.0869782770621, + "fos_buckling": 1.4422761864071378, + "fos_yielding": 7.978348203666262, + "deflection": 0.011698658490800155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_464", + "improvement_over_parent": null + }, + "node_466": { + "node_id": "node_466", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_465", + "improvement_over_parent": null + }, + "node_467": { + "node_id": "node_467", + "content": "INITIAL DESIGN (Trace 67)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 172.72 kg\n Factor of Safety: 0.80\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.71920599585602, + "fos_buckling": 0.795728668191792, + "fos_yielding": 5.010052111904292, + "deflection": 0.01907513270562032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_468": { + "node_id": "node_468", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n Mass: 192.71 kg\n Factor of Safety: 0.79\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.70909421473237, + "fos_buckling": 0.7941570320235529, + "fos_yielding": 5.000226615681818, + "deflection": 0.015112861726321538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006388)" + }, + "parent_node_id": "node_467", + "improvement_over_parent": null + }, + "node_469": { + "node_id": "node_469", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n Mass: 207.02 kg\n Factor of Safety: 1.10\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.01973407552472, + "fos_buckling": 1.0972509840863058, + "fos_yielding": 6.772116325995514, + "deflection": 0.01429678909870504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005405)" + }, + "parent_node_id": "node_468", + "improvement_over_parent": null + }, + "node_470": { + "node_id": "node_470", + "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n Mass: 213.53 kg\n Factor of Safety: 1.36\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.53448130223438, + "fos_buckling": 1.356217543109659, + "fos_yielding": 6.670482713280937, + "deflection": 0.01346479718920361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.468)" + }, + "parent_node_id": "node_469", + "improvement_over_parent": null + }, + "node_471": { + "node_id": "node_471", + "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n Mass: 216.74 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.74467668054422, + "fos_buckling": 1.3557799158922657, + "fos_yielding": 6.647189001561451, + "deflection": 0.013327040834542673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.346)" + }, + "parent_node_id": "node_470", + "improvement_over_parent": null + }, + "node_472": { + "node_id": "node_472", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4582833590807, + "fos_buckling": 1.534563164694464, + "fos_yielding": 7.745605506164285, + "deflection": 0.011488344375125172, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_471", + "improvement_over_parent": null + }, + "node_473": { + "node_id": "node_473", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_472", + "improvement_over_parent": null + }, + "node_474": { + "node_id": "node_474", + "content": "INITIAL DESIGN (Trace 68)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 184.76 kg\n Factor of Safety: 0.80\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.75560187409832, + "fos_buckling": 0.7961539925145458, + "fos_yielding": 5.7542825367906385, + "deflection": 0.019107006079353863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_475": { + "node_id": "node_475", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 200.95 kg\n Factor of Safety: 1.12\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.94868257811618, + "fos_buckling": 1.1218436614877914, + "fos_yielding": 5.821508800017734, + "deflection": 0.015286606295983565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005901)" + }, + "parent_node_id": "node_474", + "improvement_over_parent": null + }, + "node_476": { + "node_id": "node_476", + "content": "MODIFICATION: Increase 1 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 208.40 kg\n Factor of Safety: 1.20\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.39646570145982, + "fos_buckling": 1.2039748249962654, + "fos_yielding": 6.743120604256929, + "deflection": 0.014050475749698092, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.553)" + }, + "parent_node_id": "node_475", + "improvement_over_parent": null + }, + "node_477": { + "node_id": "node_477", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0064)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n\nPerformance:\n Mass: 211.07 kg\n Factor of Safety: 1.21\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.07196025178615, + "fos_buckling": 1.2058132525148773, + "fos_yielding": 6.757120576265306, + "deflection": 0.013977161200767514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.238)" + }, + "parent_node_id": "node_476", + "improvement_over_parent": null + }, + "node_478": { + "node_id": "node_478", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0077)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 251.04 kg\n Factor of Safety: 1.40\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.0392946966239, + "fos_buckling": 1.3977056659605573, + "fos_yielding": 8.037567184553135, + "deflection": 0.011799454784545119, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_477", + "improvement_over_parent": null + }, + "node_479": { + "node_id": "node_479", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_478", + "improvement_over_parent": null + }, + "node_480": { + "node_id": "node_480", + "content": "INITIAL DESIGN (Trace 69)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 115.46 kg\n Factor of Safety: 0.39\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.45593488704415, + "fos_buckling": 0.38821076534849197, + "fos_yielding": 2.050000649126612, + "deflection": 0.035373913305327624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_481": { + "node_id": "node_481", + "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0026)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 115.55 kg\n Factor of Safety: 0.39\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.55482598069453, + "fos_buckling": 0.3882070066689067, + "fos_yielding": 2.0499808686100174, + "deflection": 0.0353596801830365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.385)" + }, + "parent_node_id": "node_480", + "improvement_over_parent": null + }, + "node_482": { + "node_id": "node_482", + "content": "MODIFICATION: Increase 13 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 117.55 kg\n Factor of Safety: 0.39\n Max Deflection: 3.52e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.55499951554295, + "fos_buckling": 0.38816899918855724, + "fos_yielding": 2.0497808494664267, + "deflection": 0.03517375049483891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.287)" + }, + "parent_node_id": "node_481", + "improvement_over_parent": null + }, + "node_483": { + "node_id": "node_483", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n\nPerformance:\n Mass: 131.71 kg\n Factor of Safety: 0.88\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.71270811478632, + "fos_buckling": 0.8798742272248432, + "fos_yielding": 4.034592213698286, + "deflection": 0.021716752710527407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004064)" + }, + "parent_node_id": "node_482", + "improvement_over_parent": null + }, + "node_484": { + "node_id": "node_484", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n\nPerformance:\n Mass: 156.44 kg\n Factor of Safety: 1.03\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.43638230631277, + "fos_buckling": 1.0255605048706764, + "fos_yielding": 4.793274536564479, + "deflection": 0.018336636818375274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_483", + "improvement_over_parent": null + }, + "node_485": { + "node_id": "node_485", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n Mass: 194.57 kg\n Factor of Safety: 1.24\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.56712097250764, + "fos_buckling": 1.2384102734710642, + "fos_yielding": 5.964212472078685, + "deflection": 0.014807633817638902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_484", + "improvement_over_parent": null + }, + "node_486": { + "node_id": "node_486", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n\nPerformance:\n Mass: 218.12 kg\n Factor of Safety: 1.36\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.12328247977007, + "fos_buckling": 1.3627857189500656, + "fos_yielding": 6.688096828531202, + "deflection": 0.013244064727383775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_485", + "improvement_over_parent": null + }, + "node_487": { + "node_id": "node_487", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n Mass: 252.67 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.66915960291277, + "fos_buckling": 1.5354465595570839, + "fos_yielding": 7.75040189296138, + "deflection": 0.011478327802129753, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_486", + "improvement_over_parent": null + }, + "node_488": { + "node_id": "node_488", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_487", + "improvement_over_parent": null + }, + "node_489": { + "node_id": "node_489", + "content": "INITIAL DESIGN (Trace 70)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 143.53 kg\n Factor of Safety: 0.11\n Max Deflection: 3.59e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.52758133562526, + "fos_buckling": 0.11245330673293216, + "fos_yielding": 0.8474577543759946, + "deflection": 35875171790044.21, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_490": { + "node_id": "node_490", + "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 143.74 kg\n Factor of Safety: 0.11\n Max Deflection: 3.59e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.73677827153813, + "fos_buckling": 0.11245330673293216, + "fos_yielding": 0.8474577543759946, + "deflection": 35875171790044.21, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.241)" + }, + "parent_node_id": "node_489", + "improvement_over_parent": null + }, + "node_491": { + "node_id": "node_491", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n Mass: 161.05 kg\n Factor of Safety: 0.30\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.0532289223554, + "fos_buckling": 0.29528111036071303, + "fos_yielding": 3.702298811115075, + "deflection": 0.01929187660003061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005449)" + }, + "parent_node_id": "node_490", + "improvement_over_parent": null + }, + "node_492": { + "node_id": "node_492", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 184.31 kg\n Factor of Safety: 0.33\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.31350998048163, + "fos_buckling": 0.3320709253118844, + "fos_yielding": 4.23811365832294, + "deflection": 0.016894834842712054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_491", + "improvement_over_parent": null + }, + "node_493": { + "node_id": "node_493", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n Mass: 199.18 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.18075539047032, + "fos_buckling": 1.2632709297764255, + "fos_yielding": 6.10614269930971, + "deflection": 0.014472225772474508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005246)" + }, + "parent_node_id": "node_492", + "improvement_over_parent": null + }, + "node_494": { + "node_id": "node_494", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5228647999806, + "fos_buckling": 1.5348263360505134, + "fos_yielding": 7.746131858799686, + "deflection": 0.01148474791850448, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_493", + "improvement_over_parent": null + }, + "node_495": { + "node_id": "node_495", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_494", + "improvement_over_parent": null + }, + "node_496": { + "node_id": "node_496", + "content": "INITIAL DESIGN (Trace 71)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 163.19 kg\n Factor of Safety: 0.63\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.18687020047915, + "fos_buckling": 0.6329219228022313, + "fos_yielding": 3.5777078717706576, + "deflection": 0.018923550354691124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_497": { + "node_id": "node_497", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 209.11 kg\n Factor of Safety: 0.78\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.1117586578228, + "fos_buckling": 0.7766182798959714, + "fos_yielding": 4.5445867687252015, + "deflection": 0.01485241253806949, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_496", + "improvement_over_parent": null + }, + "node_498": { + "node_id": "node_498", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n\nPerformance:\n Mass: 222.37 kg\n Factor of Safety: 1.26\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.36898954269185, + "fos_buckling": 1.2582589689934771, + "fos_yielding": 7.354294547506958, + "deflection": 0.013015578563271657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005558)" + }, + "parent_node_id": "node_497", + "improvement_over_parent": null + }, + "node_499": { + "node_id": "node_499", + "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n\nPerformance:\n Mass: 227.21 kg\n Factor of Safety: 1.41\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.20692045528625, + "fos_buckling": 1.4093260018694702, + "fos_yielding": 6.967414935018407, + "deflection": 0.012727858135947689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.420)" + }, + "parent_node_id": "node_498", + "improvement_over_parent": null + }, + "node_500": { + "node_id": "node_500", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.23 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.22683673614168, + "fos_buckling": 1.53333183646317, + "fos_yielding": 7.736875464698137, + "deflection": 0.011497981424382834, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_499", + "improvement_over_parent": null + }, + "node_501": { + "node_id": "node_501", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_500", + "improvement_over_parent": null + }, + "node_502": { + "node_id": "node_502", + "content": "INITIAL DESIGN (Trace 72)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 188.56 kg\n Factor of Safety: 0.60\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.55806635216953, + "fos_buckling": 0.5989758473865829, + "fos_yielding": 3.343193463418162, + "deflection": 0.02179166580183723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_503": { + "node_id": "node_503", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 192.88 kg\n Factor of Safety: 0.60\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.88249792561754, + "fos_buckling": 0.598598379154639, + "fos_yielding": 3.3107775179771153, + "deflection": 0.0216305956833655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.468)" + }, + "parent_node_id": "node_502", + "improvement_over_parent": null + }, + "node_504": { + "node_id": "node_504", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 224.66 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.66348975311138, + "fos_buckling": 0.6777054387118596, + "fos_yielding": 3.8517949319937825, + "deflection": 0.018635108662415793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_503", + "improvement_over_parent": null + }, + "node_505": { + "node_id": "node_505", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.80 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.80201332149383, + "fos_buckling": 1.497587044644487, + "fos_yielding": 7.428979245628629, + "deflection": 0.011520163456340583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_504", + "improvement_over_parent": null + }, + "node_506": { + "node_id": "node_506", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.50633416841487, + "fos_buckling": 1.534579389249873, + "fos_yielding": 7.746169870426724, + "deflection": 0.01148524284781046, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_505", + "improvement_over_parent": null + }, + "node_507": { + "node_id": "node_507", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_506", + "improvement_over_parent": null + }, + "node_508": { + "node_id": "node_508", + "content": "INITIAL DESIGN (Trace 73)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 138.17 kg\n Factor of Safety: 0.39\n Max Deflection: 3.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.17221325771055, + "fos_buckling": 0.3869436106144138, + "fos_yielding": 2.547985630335488, + "deflection": 0.031316281520059115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_509": { + "node_id": "node_509", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 173.10 kg\n Factor of Safety: 0.47\n Max Deflection: 2.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.10306623605862, + "fos_buckling": 0.47361797770792596, + "fos_yielding": 3.1758057604062673, + "deflection": 0.025070495862958706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_508", + "improvement_over_parent": null + }, + "node_510": { + "node_id": "node_510", + "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 180.28 kg\n Factor of Safety: 0.47\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.27913299508506, + "fos_buckling": 0.4731220643086968, + "fos_yielding": 3.1724965273321755, + "deflection": 0.02406497751992513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.582)" + }, + "parent_node_id": "node_509", + "improvement_over_parent": null + }, + "node_511": { + "node_id": "node_511", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 202.37 kg\n Factor of Safety: 1.23\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.36893333434307, + "fos_buckling": 1.2326137423848365, + "fos_yielding": 6.521936491994639, + "deflection": 0.014247918708341818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006511)" + }, + "parent_node_id": "node_510", + "improvement_over_parent": null + }, + "node_512": { + "node_id": "node_512", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n Mass: 248.87 kg\n Factor of Safety: 1.47\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.87291660345645, + "fos_buckling": 1.4731345690569042, + "fos_yielding": 8.019480019280028, + "deflection": 0.011646714246935802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_511", + "improvement_over_parent": null + }, + "node_513": { + "node_id": "node_513", + "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n Mass: 252.60 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.59996727837338, + "fos_buckling": 1.5355299779944087, + "fos_yielding": 7.748984249275442, + "deflection": 0.011481867162364092, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.263)" + }, + "parent_node_id": "node_512", + "improvement_over_parent": null + }, + "node_514": { + "node_id": "node_514", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_513", + "improvement_over_parent": null + }, + "node_515": { + "node_id": "node_515", + "content": "INITIAL DESIGN (Trace 74)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 210.01 kg\n Factor of Safety: 0.41\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.0059678610816, + "fos_buckling": 0.4119745725775305, + "fos_yielding": 3.8175452879403093, + "deflection": 0.017002046536693585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_516": { + "node_id": "node_516", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 228.62 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.6214939174489, + "fos_buckling": 0.9161524401780384, + "fos_yielding": 6.8120164773663126, + "deflection": 0.014776584110545872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_515", + "improvement_over_parent": null + }, + "node_517": { + "node_id": "node_517", + "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 229.19 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.18859408257566, + "fos_buckling": 0.9161524401780385, + "fos_yielding": 6.8120164773663126, + "deflection": 0.014732959746063246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.580)" + }, + "parent_node_id": "node_516", + "improvement_over_parent": null + }, + "node_518": { + "node_id": "node_518", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4744336846729, + "fos_buckling": 1.5345786924020575, + "fos_yielding": 7.74443680384553, + "deflection": 0.011486911834632648, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_517", + "improvement_over_parent": null + }, + "node_519": { + "node_id": "node_519", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_518", + "improvement_over_parent": null + }, + "node_520": { + "node_id": "node_520", + "content": "INITIAL DESIGN (Trace 75)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0027)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 144.13 kg\n Factor of Safety: 0.73\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.12743056593854, + "fos_buckling": 0.7329604673368919, + "fos_yielding": 2.923523530802761, + "deflection": 0.020746943084601784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_521": { + "node_id": "node_521", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 183.16 kg\n Factor of Safety: 0.92\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.16006196509042, + "fos_buckling": 0.9181076058492893, + "fos_yielding": 3.7332875030362223, + "deflection": 0.016385178435213248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_520", + "improvement_over_parent": null + }, + "node_522": { + "node_id": "node_522", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n Mass: 183.53 kg\n Factor of Safety: 0.96\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.5257556506949, + "fos_buckling": 0.9574833500524675, + "fos_yielding": 3.893400514648291, + "deflection": 0.016321344730940813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001061)" + }, + "parent_node_id": "node_521", + "improvement_over_parent": null + }, + "node_523": { + "node_id": "node_523", + "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n Mass: 184.08 kg\n Factor of Safety: 1.15\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.07531895837457, + "fos_buckling": 1.1465772131995162, + "fos_yielding": 5.287995601695634, + "deflection": 0.01610222640992976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.427)" + }, + "parent_node_id": "node_522", + "improvement_over_parent": null + }, + "node_524": { + "node_id": "node_524", + "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0036)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n Mass: 184.62 kg\n Factor of Safety: 1.15\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.61860803082925, + "fos_buckling": 1.1465047067086398, + "fos_yielding": 5.293321020684031, + "deflection": 0.0160668128876675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.486)" + }, + "parent_node_id": "node_523", + "improvement_over_parent": null + }, + "node_525": { + "node_id": "node_525", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0040)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.25\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.32840188086178, + "fos_buckling": 1.24977274937631, + "fos_yielding": 5.861353534037564, + "deflection": 0.014545193543192031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_524", + "improvement_over_parent": null + }, + "node_526": { + "node_id": "node_526", + "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0040)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n Mass: 211.45 kg\n Factor of Safety: 1.33\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.44752848944165, + "fos_buckling": 1.325768779981949, + "fos_yielding": 6.457964784015803, + "deflection": 0.013649056342362747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.658)" + }, + "parent_node_id": "node_525", + "improvement_over_parent": null + }, + "node_527": { + "node_id": "node_527", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n Mass: 253.20 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.20400830438962, + "fos_buckling": 1.5355535626441261, + "fos_yielding": 7.737618052855927, + "deflection": 0.011451894019468426, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_526", + "improvement_over_parent": null + }, + "node_528": { + "node_id": "node_528", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_527", + "improvement_over_parent": null + }, + "node_529": { + "node_id": "node_529", + "content": "INITIAL DESIGN (Trace 76)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0022)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n Mass: 123.93 kg\n Factor of Safety: 0.69\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.92842594040494, + "fos_buckling": 0.6874618155381523, + "fos_yielding": 3.7171680108428613, + "deflection": 0.022927683268263426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_530": { + "node_id": "node_530", + "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n Mass: 126.82 kg\n Factor of Safety: 0.85\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.81941801424395, + "fos_buckling": 0.8503196016707785, + "fos_yielding": 3.8846584755631888, + "deflection": 0.022542425447004945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.458)" + }, + "parent_node_id": "node_529", + "improvement_over_parent": null + }, + "node_531": { + "node_id": "node_531", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 157.11 kg\n Factor of Safety: 1.03\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.11212406390825, + "fos_buckling": 1.0294582126772924, + "fos_yielding": 4.814228483452722, + "deflection": 0.01825955122487567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_530", + "improvement_over_parent": null + }, + "node_532": { + "node_id": "node_532", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 203.75 kg\n Factor of Safety: 1.29\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.74865075131873, + "fos_buckling": 1.287534575768938, + "fos_yielding": 6.246584545572646, + "deflection": 0.014155483500216712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_531", + "improvement_over_parent": null + }, + "node_533": { + "node_id": "node_533", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55185820923325, + "fos_buckling": 1.5348851682644284, + "fos_yielding": 7.747118078645642, + "deflection": 0.011483732876470977, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_532", + "improvement_over_parent": null + }, + "node_534": { + "node_id": "node_534", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_533", + "improvement_over_parent": null + }, + "node_535": { + "node_id": "node_535", + "content": "INITIAL DESIGN (Trace 77)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 183.58 kg\n Factor of Safety: 0.74\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.58207339805568, + "fos_buckling": 0.7365885288569912, + "fos_yielding": 4.504144505571409, + "deflection": 0.017392695973736667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_536": { + "node_id": "node_536", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n Mass: 199.39 kg\n Factor of Safety: 0.73\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.38928880774134, + "fos_buckling": 0.7332560610018931, + "fos_yielding": 4.223672942857032, + "deflection": 0.015603520915372787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005604)" + }, + "parent_node_id": "node_535", + "improvement_over_parent": null + }, + "node_537": { + "node_id": "node_537", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 237.70 kg\n Factor of Safety: 0.84\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.6963965880018, + "fos_buckling": 0.8434350734199468, + "fos_yielding": 5.000912153153331, + "deflection": 0.0131515333142803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_536", + "improvement_over_parent": null + }, + "node_538": { + "node_id": "node_538", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.42090419665936, + "fos_buckling": 1.5342967344847747, + "fos_yielding": 7.742813774061213, + "deflection": 0.011489336283399735, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_537", + "improvement_over_parent": null + }, + "node_539": { + "node_id": "node_539", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_538", + "improvement_over_parent": null + }, + "node_540": { + "node_id": "node_540", + "content": "INITIAL DESIGN (Trace 78)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n\nPerformance:\n Mass: 101.32 kg\n Factor of Safety: 0.26\n Max Deflection: 1.38e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.32371146889814, + "fos_buckling": 0.26150780456003353, + "fos_yielding": 1.3880638174239337, + "deflection": 138329283410650.47, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_541": { + "node_id": "node_541", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n\nPerformance:\n Mass: 124.56 kg\n Factor of Safety: 1.06\n Max Deflection: 1.12e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.5649191155511, + "fos_buckling": 1.060319872937051, + "fos_yielding": 6.779662035007957, + "deflection": 11179024204533.238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_540", + "improvement_over_parent": null + }, + "node_542": { + "node_id": "node_542", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 135.58 kg\n Factor of Safety: 0.55\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.57634569362136, + "fos_buckling": 0.5462657323531043, + "fos_yielding": 3.3797729886325407, + "deflection": 0.022759724339422426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003840)" + }, + "parent_node_id": "node_541", + "improvement_over_parent": null + }, + "node_543": { + "node_id": "node_543", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 176.54 kg\n Factor of Safety: 0.68\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.54143768288208, + "fos_buckling": 0.6845483949971258, + "fos_yielding": 4.365579965365917, + "deflection": 0.017562820699152878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_542", + "improvement_over_parent": null + }, + "node_544": { + "node_id": "node_544", + "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 180.70 kg\n Factor of Safety: 0.68\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.70363723172966, + "fos_buckling": 0.6837300609191826, + "fos_yielding": 3.913655829391619, + "deflection": 0.01695431049134878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.279)" + }, + "parent_node_id": "node_543", + "improvement_over_parent": null + }, + "node_545": { + "node_id": "node_545", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 235.03 kg\n Factor of Safety: 0.85\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.0252214796532, + "fos_buckling": 0.8450513669991561, + "fos_yielding": 5.0500073990836105, + "deflection": 0.013124253237585233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_544", + "improvement_over_parent": null + }, + "node_546": { + "node_id": "node_546", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.82 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.81669716805763, + "fos_buckling": 1.5362776685791852, + "fos_yielding": 7.755903404447945, + "deflection": 0.011470792928629991, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_545", + "improvement_over_parent": null + }, + "node_547": { + "node_id": "node_547", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_546", + "improvement_over_parent": null + }, + "node_548": { + "node_id": "node_548", + "content": "INITIAL DESIGN (Trace 79)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 160.56 kg\n Factor of Safety: 0.92\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.56094669456266, + "fos_buckling": 0.9172391778772904, + "fos_yielding": 4.924031914812416, + "deflection": 0.01789439648525136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_549": { + "node_id": "node_549", + "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 160.87 kg\n Factor of Safety: 1.05\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.86878422521625, + "fos_buckling": 1.051085715296185, + "fos_yielding": 4.9293978068059, + "deflection": 0.01784041792947865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.441)" + }, + "parent_node_id": "node_548", + "improvement_over_parent": null + }, + "node_550": { + "node_id": "node_550", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 200.88 kg\n Factor of Safety: 1.27\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.87773389058248, + "fos_buckling": 1.2723166692586003, + "fos_yielding": 6.15817850123091, + "deflection": 0.014352744184050348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_549", + "improvement_over_parent": null + }, + "node_551": { + "node_id": "node_551", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.12 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.118247507305, + "fos_buckling": 1.532848479043989, + "fos_yielding": 7.733551151708892, + "deflection": 0.011502646978907401, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_550", + "improvement_over_parent": null + }, + "node_552": { + "node_id": "node_552", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_551", + "improvement_over_parent": null + }, + "node_553": { + "node_id": "node_553", + "content": "INITIAL DESIGN (Trace 80)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 174.74 kg\n Factor of Safety: 0.86\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.73671361342446, + "fos_buckling": 0.8648678228905168, + "fos_yielding": 5.207393063654184, + "deflection": 0.01720110662955133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_554": { + "node_id": "node_554", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 208.91 kg\n Factor of Safety: 1.02\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.91324080229035, + "fos_buckling": 1.017905630897971, + "fos_yielding": 6.221288180303542, + "deflection": 0.014433337793245082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_553", + "improvement_over_parent": null + }, + "node_555": { + "node_id": "node_555", + "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 216.94 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.94179191006683, + "fos_buckling": 1.3566837089419483, + "fos_yielding": 6.65111999831058, + "deflection": 0.013314035487644822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.639)" + }, + "parent_node_id": "node_554", + "improvement_over_parent": null + }, + "node_556": { + "node_id": "node_556", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.30 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.29511134893534, + "fos_buckling": 1.5336481492821437, + "fos_yielding": 7.738136113378142, + "deflection": 0.01149454831330604, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_555", + "improvement_over_parent": null + }, + "node_557": { + "node_id": "node_557", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_556", + "improvement_over_parent": null + }, + "node_558": { + "node_id": "node_558", + "content": "INITIAL DESIGN (Trace 81)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 125.20 kg\n Factor of Safety: 0.13\n Max Deflection: 1.03e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.201754106174, + "fos_buckling": 0.1299730262804645, + "fos_yielding": 0.8474577543759946, + "deflection": 103234491196577.84, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_559": { + "node_id": "node_559", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n\nPerformance:\n Mass: 126.35 kg\n Factor of Safety: 0.48\n Max Deflection: 3.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.34875495165065, + "fos_buckling": 0.48243862772554, + "fos_yielding": 1.732826574128948, + "deflection": 0.03265174691932619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.001740)" + }, + "parent_node_id": "node_558", + "improvement_over_parent": null + }, + "node_560": { + "node_id": "node_560", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n\nPerformance:\n Mass: 159.63 kg\n Factor of Safety: 0.59\n Max Deflection: 2.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.6273376391768, + "fos_buckling": 0.5893261728482538, + "fos_yielding": 2.1815855390028935, + "deflection": 0.02593147810434443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_559", + "improvement_over_parent": null + }, + "node_561": { + "node_id": "node_561", + "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n\nPerformance:\n Mass: 159.89 kg\n Factor of Safety: 0.59\n Max Deflection: 2.56e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.8923283348092, + "fos_buckling": 0.5893109517107319, + "fos_yielding": 2.7118895451523404, + "deflection": 0.02561941223877433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.504)" + }, + "parent_node_id": "node_560", + "improvement_over_parent": null + }, + "node_562": { + "node_id": "node_562", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n\nPerformance:\n Mass: 173.90 kg\n Factor of Safety: 0.56\n Max Deflection: 2.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.8965538412487, + "fos_buckling": 0.5579704486807432, + "fos_yielding": 2.281072163375926, + "deflection": 0.02466129611000156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005280)" + }, + "parent_node_id": "node_561", + "improvement_over_parent": null + }, + "node_563": { + "node_id": "node_563", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 188.84 kg\n Factor of Safety: 0.57\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.84134970885023, + "fos_buckling": 0.5692780310018737, + "fos_yielding": 2.327299362914536, + "deflection": 0.022730053691188384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005454)" + }, + "parent_node_id": "node_562", + "improvement_over_parent": null + }, + "node_564": { + "node_id": "node_564", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 224.78 kg\n Factor of Safety: 0.67\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.77840457938444, + "fos_buckling": 0.6674134212660062, + "fos_yielding": 2.7809508189889347, + "deflection": 0.01915922306924674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_563", + "improvement_over_parent": null + }, + "node_565": { + "node_id": "node_565", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.92 kg\n Factor of Safety: 1.33\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.9169281477669, + "fos_buckling": 1.3263911547656708, + "fos_yielding": 5.526752160824649, + "deflection": 0.011640850959024788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_564", + "improvement_over_parent": null + }, + "node_566": { + "node_id": "node_566", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_565", + "improvement_over_parent": null + }, + "node_567": { + "node_id": "node_567", + "content": "INITIAL DESIGN (Trace 82)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_568": { + "node_id": "node_568", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n Mass: 164.62 kg\n Factor of Safety: 0.11\n Max Deflection: 6.82e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.622763581465, + "fos_buckling": 0.10863849230851835, + "fos_yielding": 0.8474577543759946, + "deflection": 68151304936347.625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005962)" + }, + "parent_node_id": "node_567", + "improvement_over_parent": null + }, + "node_569": { + "node_id": "node_569", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n Mass: 179.43 kg\n Factor of Safety: 1.03\n Max Deflection: 1.43e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.4261126293144, + "fos_buckling": 1.0299389103035221, + "fos_yielding": 3.389831017503978, + "deflection": 14292527834852.172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005607)" + }, + "parent_node_id": "node_568", + "improvement_over_parent": null + }, + "node_570": { + "node_id": "node_570", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n Mass: 203.53 kg\n Factor of Safety: 0.83\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.52634705852248, + "fos_buckling": 0.8321189675289322, + "fos_yielding": 6.064896457840886, + "deflection": 0.01654233381505953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007154)" + }, + "parent_node_id": "node_569", + "improvement_over_parent": null + }, + "node_571": { + "node_id": "node_571", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 229.27 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.2717947653237, + "fos_buckling": 0.9163884558416963, + "fos_yielding": 6.814400215818284, + "deflection": 0.014727830551122275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_570", + "improvement_over_parent": null + }, + "node_572": { + "node_id": "node_572", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55763436742095, + "fos_buckling": 1.534883123725222, + "fos_yielding": 7.7476576335631995, + "deflection": 0.01148318264321249, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_571", + "improvement_over_parent": null + }, + "node_573": { + "node_id": "node_573", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_572", + "improvement_over_parent": null + }, + "node_574": { + "node_id": "node_574", + "content": "INITIAL DESIGN (Trace 83)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 179.63 kg\n Factor of Safety: 0.45\n Max Deflection: 2.44e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.63296997398692, + "fos_buckling": 0.4540956552010166, + "fos_yielding": 3.171170199591622, + "deflection": 0.024398367885700184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_575": { + "node_id": "node_575", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 220.93 kg\n Factor of Safety: 0.54\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.92925848761885, + "fos_buckling": 0.5447393519308471, + "fos_yielding": 3.8785673404553624, + "deflection": 0.019905423270957595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_574", + "improvement_over_parent": null + }, + "node_576": { + "node_id": "node_576", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 248.07 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.0677820560013, + "fos_buckling": 1.4339343007634417, + "fos_yielding": 8.076142177491668, + "deflection": 0.011688754699356122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_575", + "improvement_over_parent": null + }, + "node_577": { + "node_id": "node_577", + "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47089271357862, + "fos_buckling": 1.53460924197472, + "fos_yielding": 7.743577074738273, + "deflection": 0.011487102928671592, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.325)" + }, + "parent_node_id": "node_576", + "improvement_over_parent": null + }, + "node_578": { + "node_id": "node_578", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_577", + "improvement_over_parent": null + }, + "node_579": { + "node_id": "node_579", + "content": "INITIAL DESIGN (Trace 84)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 203.21 kg\n Factor of Safety: 0.39\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.21258170185007, + "fos_buckling": 0.389391926714108, + "fos_yielding": 4.732862348899811, + "deflection": 0.015246945371641448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_580": { + "node_id": "node_580", + "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 203.70 kg\n Factor of Safety: 0.38\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.70215078339476, + "fos_buckling": 0.3795384675075574, + "fos_yielding": 4.732862348899806, + "deflection": 0.015213521219046964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.555)" + }, + "parent_node_id": "node_579", + "improvement_over_parent": null + }, + "node_581": { + "node_id": "node_581", + "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 205.79 kg\n Factor of Safety: 0.36\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.7903023731792, + "fos_buckling": 0.3647715725609241, + "fos_yielding": 4.733159352918656, + "deflection": 0.015162298777839995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.208)" + }, + "parent_node_id": "node_580", + "improvement_over_parent": null + }, + "node_582": { + "node_id": "node_582", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.51 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.51210954051555, + "fos_buckling": 0.4050771460573281, + "fos_yielding": 5.372429679305777, + "deflection": 0.013397639754010203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_581", + "improvement_over_parent": null + }, + "node_583": { + "node_id": "node_583", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.36015755582775, + "fos_buckling": 1.5339990128768628, + "fos_yielding": 7.741261847225742, + "deflection": 0.011492027154248706, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_582", + "improvement_over_parent": null + }, + "node_584": { + "node_id": "node_584", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_583", + "improvement_over_parent": null + }, + "node_585": { + "node_id": "node_585", + "content": "INITIAL DESIGN (Trace 85)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0032)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 134.33 kg\n Factor of Safety: 0.55\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.33393247900713, + "fos_buckling": 0.5509605633633627, + "fos_yielding": 3.0606586383673235, + "deflection": 0.022838543955287532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_586": { + "node_id": "node_586", + "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0032)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 136.39 kg\n Factor of Safety: 0.55\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.38554892269798, + "fos_buckling": 0.5507423898127164, + "fos_yielding": 3.0580769992689563, + "deflection": 0.022156210038754405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.302)" + }, + "parent_node_id": "node_585", + "improvement_over_parent": null + }, + "node_587": { + "node_id": "node_587", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 157.87 kg\n Factor of Safety: 0.62\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.86961335824157, + "fos_buckling": 0.6246930615588662, + "fos_yielding": 3.5249858925896493, + "deflection": 0.019195723087342097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_586", + "improvement_over_parent": null + }, + "node_588": { + "node_id": "node_588", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 203.00 kg\n Factor of Safety: 0.77\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.9985454749184, + "fos_buckling": 0.7691448705582146, + "fos_yielding": 4.492934333324712, + "deflection": 0.015017909642111756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_587", + "improvement_over_parent": null + }, + "node_589": { + "node_id": "node_589", + "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 208.05 kg\n Factor of Safety: 0.77\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.05057551665675, + "fos_buckling": 0.7687747480455506, + "fos_yielding": 4.470686388623404, + "deflection": 0.01474687064921407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.350)" + }, + "parent_node_id": "node_588", + "improvement_over_parent": null + }, + "node_590": { + "node_id": "node_590", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 234.22 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.2154540586397, + "fos_buckling": 0.8441539667618504, + "fos_yielding": 5.009183773655833, + "deflection": 0.01314439772305236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_589", + "improvement_over_parent": null + }, + "node_591": { + "node_id": "node_591", + "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 237.75 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.74580443217923, + "fos_buckling": 0.8435893629383813, + "fos_yielding": 5.002074438617245, + "deflection": 0.01314866224511442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.272)" + }, + "parent_node_id": "node_590", + "improvement_over_parent": null + }, + "node_592": { + "node_id": "node_592", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4703120408368, + "fos_buckling": 1.5347268231339342, + "fos_yielding": 7.743835990970623, + "deflection": 0.011486787840456179, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_591", + "improvement_over_parent": null + }, + "node_593": { + "node_id": "node_593", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_592", + "improvement_over_parent": null + }, + "node_594": { + "node_id": "node_594", + "content": "INITIAL DESIGN (Trace 86)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n Mass: 99.92 kg\n Factor of Safety: 0.47\n Max Deflection: 3.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.92020893782559, + "fos_buckling": 0.4657905739262618, + "fos_yielding": 2.5934617746624813, + "deflection": 0.03354975897074172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_595": { + "node_id": "node_595", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n\nPerformance:\n Mass: 110.87 kg\n Factor of Safety: 0.47\n Max Deflection: 2.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.86906032829627, + "fos_buckling": 0.4652859571115507, + "fos_yielding": 2.5906645351228006, + "deflection": 0.026349300183998725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003378)" + }, + "parent_node_id": "node_594", + "improvement_over_parent": null + }, + "node_596": { + "node_id": "node_596", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n\nPerformance:\n Mass: 144.43 kg\n Factor of Safety: 0.59\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.4284505217207, + "fos_buckling": 0.5916823182545718, + "fos_yielding": 3.3689586745830042, + "deflection": 0.020297273584678893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_595", + "improvement_over_parent": null + }, + "node_597": { + "node_id": "node_597", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n\nPerformance:\n Mass: 183.52 kg\n Factor of Safety: 0.73\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.51628487693694, + "fos_buckling": 0.730458291931717, + "fos_yielding": 4.27205147172768, + "deflection": 0.016038700166314358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_596", + "improvement_over_parent": null + }, + "node_598": { + "node_id": "node_598", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 235.68 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.68144113898336, + "fos_buckling": 0.9015326158552414, + "fos_yielding": 5.471598269676318, + "deflection": 0.012555885078607469, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_597", + "improvement_over_parent": null + }, + "node_599": { + "node_id": "node_599", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35172494524045, + "fos_buckling": 1.5339382849877203, + "fos_yielding": 7.739835609714844, + "deflection": 0.011492598344234363, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_598", + "improvement_over_parent": null + }, + "node_600": { + "node_id": "node_600", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_599", + "improvement_over_parent": null + }, + "node_601": { + "node_id": "node_601", + "content": "INITIAL DESIGN (Trace 87)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0021)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 128.24 kg\n Factor of Safety: 0.84\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.23669871740603, + "fos_buckling": 0.8390408694384583, + "fos_yielding": 4.007173407110098, + "deflection": 0.022093181618460536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_602": { + "node_id": "node_602", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 165.89 kg\n Factor of Safety: 1.05\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.89215563623418, + "fos_buckling": 1.051204022155208, + "fos_yielding": 5.185107335608295, + "deflection": 0.017154206675419795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_601", + "improvement_over_parent": null + }, + "node_603": { + "node_id": "node_603", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 216.82 kg\n Factor of Safety: 1.31\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.81842599691865, + "fos_buckling": 1.3144787498619919, + "fos_yielding": 6.778990762346672, + "deflection": 0.013203610719162186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_602", + "improvement_over_parent": null + }, + "node_604": { + "node_id": "node_604", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.27 kg\n Factor of Safety: 1.45\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.27392612215596, + "fos_buckling": 1.4546259247337048, + "fos_yielding": 7.701274900489767, + "deflection": 0.011664434342625558, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_603", + "improvement_over_parent": null + }, + "node_605": { + "node_id": "node_605", + "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.50993543350194, + "fos_buckling": 1.5347911185961818, + "fos_yielding": 7.7458533459590635, + "deflection": 0.011485099480468835, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.592)" + }, + "parent_node_id": "node_604", + "improvement_over_parent": null + }, + "node_606": { + "node_id": "node_606", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_605", + "improvement_over_parent": null + }, + "node_607": { + "node_id": "node_607", + "content": "INITIAL DESIGN (Trace 88)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0029)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 153.75 kg\n Factor of Safety: 0.37\n Max Deflection: 3.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.75401598099043, + "fos_buckling": 0.3679816634464321, + "fos_yielding": 1.0291741855253764, + "deflection": 0.039770368460695704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_608": { + "node_id": "node_608", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 193.17 kg\n Factor of Safety: 0.44\n Max Deflection: 3.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.1695260021375, + "fos_buckling": 0.4437678945121189, + "fos_yielding": 1.284355686756061, + "deflection": 0.031826107436701376, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_607", + "improvement_over_parent": null + }, + "node_609": { + "node_id": "node_609", + "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 198.43 kg\n Factor of Safety: 0.44\n Max Deflection: 3.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.4311597370365, + "fos_buckling": 0.4434277323794903, + "fos_yielding": 1.2833798752633623, + "deflection": 0.03018883653347651, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.506)" + }, + "parent_node_id": "node_608", + "improvement_over_parent": null + }, + "node_610": { + "node_id": "node_610", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 200.90 kg\n Factor of Safety: 0.44\n Max Deflection: 3.01e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.89810213925702, + "fos_buckling": 0.4433215148899286, + "fos_yielding": 1.2830751700718108, + "deflection": 0.030066395824597112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.215)" + }, + "parent_node_id": "node_609", + "improvement_over_parent": null + }, + "node_611": { + "node_id": "node_611", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 218.69 kg\n Factor of Safety: 0.44\n Max Deflection: 2.46e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.68957782766145, + "fos_buckling": 0.44293891927363394, + "fos_yielding": 1.882096099309834, + "deflection": 0.024587496472382203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_610", + "improvement_over_parent": null + }, + "node_612": { + "node_id": "node_612", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 243.81 kg\n Factor of Safety: 1.41\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.8117194795083, + "fos_buckling": 1.409359793946589, + "fos_yielding": 8.462970474114309, + "deflection": 0.01190935544866284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_611", + "improvement_over_parent": null + }, + "node_613": { + "node_id": "node_613", + "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0106)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 253.10 kg\n Factor of Safety: 1.41\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.099055348381, + "fos_buckling": 1.4054048919126403, + "fos_yielding": 8.12234339676606, + "deflection": 0.011795880224091098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.656)" + }, + "parent_node_id": "node_612", + "improvement_over_parent": null + }, + "node_614": { + "node_id": "node_614", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_613", + "improvement_over_parent": null + }, + "node_615": { + "node_id": "node_615", + "content": "INITIAL DESIGN (Trace 89)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 196.84 kg\n Factor of Safety: 0.33\n Max Deflection: 3.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.83936327812, + "fos_buckling": 0.3297050822605891, + "fos_yielding": 1.9416097997125767, + "deflection": 0.03112288394811409, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_616": { + "node_id": "node_616", + "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 202.53 kg\n Factor of Safety: 0.33\n Max Deflection: 3.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.52626950171606, + "fos_buckling": 0.32961396318696845, + "fos_yielding": 1.8866186073200053, + "deflection": 0.031038800097418655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.642)" + }, + "parent_node_id": "node_615", + "improvement_over_parent": null + }, + "node_617": { + "node_id": "node_617", + "content": "MODIFICATION: Increase 11 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 208.08 kg\n Factor of Safety: 0.44\n Max Deflection: 2.84e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.07788535119215, + "fos_buckling": 0.44330848752721436, + "fos_yielding": 1.8835962510830813, + "deflection": 0.02843637148513472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.458)" + }, + "parent_node_id": "node_616", + "improvement_over_parent": null + }, + "node_618": { + "node_id": "node_618", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 233.20 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.200027003039, + "fos_buckling": 0.9157963937781117, + "fos_yielding": 6.8093691079585215, + "deflection": 0.014738103220128957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_617", + "improvement_over_parent": null + }, + "node_619": { + "node_id": "node_619", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 247.83 kg\n Factor of Safety: 1.42\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.82519421993507, + "fos_buckling": 1.4199342007815803, + "fos_yielding": 8.100497150138946, + "deflection": 0.011702344266826686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005289)" + }, + "parent_node_id": "node_618", + "improvement_over_parent": null + }, + "node_620": { + "node_id": "node_620", + "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0084)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 252.32 kg\n Factor of Safety: 1.42\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.32149193550478, + "fos_buckling": 1.4193166393698198, + "fos_yielding": 8.123956102097369, + "deflection": 0.011622190511216013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.348)" + }, + "parent_node_id": "node_619", + "improvement_over_parent": null + }, + "node_621": { + "node_id": "node_621", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_620", + "improvement_over_parent": null + }, + "node_622": { + "node_id": "node_622", + "content": "INITIAL DESIGN (Trace 90)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n Mass: 137.58 kg\n Factor of Safety: 0.31\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.57554405648554, + "fos_buckling": 0.3125724339712191, + "fos_yielding": 3.554969850851901, + "deflection": 0.022477762776760467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_623": { + "node_id": "node_623", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n\nPerformance:\n Mass: 161.91 kg\n Factor of Safety: 0.36\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.9135830738411, + "fos_buckling": 0.35929746418157965, + "fos_yielding": 4.160226039535633, + "deflection": 0.01916029617329411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_622", + "improvement_over_parent": null + }, + "node_624": { + "node_id": "node_624", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n\nPerformance:\n Mass: 207.75 kg\n Factor of Safety: 0.44\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.75138646570048, + "fos_buckling": 0.44059902170927695, + "fos_yielding": 5.281679222699552, + "deflection": 0.015022951381641291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_623", + "improvement_over_parent": null + }, + "node_625": { + "node_id": "node_625", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 224.54 kg\n Factor of Safety: 1.38\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.5363024213897, + "fos_buckling": 1.3776829174833103, + "fos_yielding": 7.138714379215393, + "deflection": 0.012786417307083665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006024)" + }, + "parent_node_id": "node_624", + "improvement_over_parent": null + }, + "node_626": { + "node_id": "node_626", + "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 227.57 kg\n Factor of Safety: 1.41\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.565373611089, + "fos_buckling": 1.4110938162827924, + "fos_yielding": 6.977473480253197, + "deflection": 0.012708675604392561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.274)" + }, + "parent_node_id": "node_625", + "improvement_over_parent": null + }, + "node_627": { + "node_id": "node_627", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4153089305283, + "fos_buckling": 1.5341893263839068, + "fos_yielding": 7.741617822649596, + "deflection": 0.01148995321970473, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_626", + "improvement_over_parent": null + }, + "node_628": { + "node_id": "node_628", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_627", + "improvement_over_parent": null + }, + "node_629": { + "node_id": "node_629", + "content": "INITIAL DESIGN (Trace 91)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n Mass: 104.51 kg\n Factor of Safety: 0.45\n Max Deflection: 2.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.50805009905505, + "fos_buckling": 0.45004326391868504, + "fos_yielding": 2.5011250630799, + "deflection": 0.02918133232641618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_630": { + "node_id": "node_630", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 130.82 kg\n Factor of Safety: 0.55\n Max Deflection: 2.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.82379291151483, + "fos_buckling": 0.5525263463619471, + "fos_yielding": 3.1264734248705266, + "deflection": 0.023362896012480632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_629", + "improvement_over_parent": null + }, + "node_631": { + "node_id": "node_631", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 145.70 kg\n Factor of Safety: 0.61\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.7025945629813, + "fos_buckling": 0.60854554724881, + "fos_yielding": 3.4792391573274695, + "deflection": 0.021003105178417462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_630", + "improvement_over_parent": null + }, + "node_632": { + "node_id": "node_632", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 181.48 kg\n Factor of Safety: 0.74\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.48001099645427, + "fos_buckling": 0.7375681800899899, + "fos_yielding": 4.325098707137313, + "deflection": 0.016912194196581406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_631", + "improvement_over_parent": null + }, + "node_633": { + "node_id": "node_633", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 230.68 kg\n Factor of Safety: 0.90\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.67649726922144, + "fos_buckling": 0.9019090610298138, + "fos_yielding": 5.482608921806508, + "deflection": 0.013358188311040499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_632", + "improvement_over_parent": null + }, + "node_634": { + "node_id": "node_634", + "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 235.79 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.78702742718073, + "fos_buckling": 0.9019090610298142, + "fos_yielding": 5.47438190194255, + "deflection": 0.012551335447303419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.267)" + }, + "parent_node_id": "node_633", + "improvement_over_parent": null + }, + "node_635": { + "node_id": "node_635", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4573112334378, + "fos_buckling": 1.5345416539523749, + "fos_yielding": 7.743607150645664, + "deflection": 0.011488123815812913, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_634", + "improvement_over_parent": null + }, + "node_636": { + "node_id": "node_636", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_635", + "improvement_over_parent": null + }, + "node_637": { + "node_id": "node_637", + "content": "INITIAL DESIGN (Trace 92)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n Mass: 116.94 kg\n Factor of Safety: 0.46\n Max Deflection: 2.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.94054991877503, + "fos_buckling": 0.4648431761293106, + "fos_yielding": 1.7855289316596021, + "deflection": 0.026692337561478027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_638": { + "node_id": "node_638", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n\nPerformance:\n Mass: 124.21 kg\n Factor of Safety: 0.74\n Max Deflection: 2.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.20880701925623, + "fos_buckling": 0.7417227136610653, + "fos_yielding": 2.933341504521637, + "deflection": 0.023169173577654592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002936)" + }, + "parent_node_id": "node_637", + "improvement_over_parent": null + }, + "node_639": { + "node_id": "node_639", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n\nPerformance:\n Mass: 139.61 kg\n Factor of Safety: 0.83\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.61251859605835, + "fos_buckling": 0.8286098951613394, + "fos_yielding": 3.3018673369856226, + "deflection": 0.020648122842233753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_638", + "improvement_over_parent": null + }, + "node_640": { + "node_id": "node_640", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n\nPerformance:\n Mass: 174.70 kg\n Factor of Safety: 1.02\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.7029863591897, + "fos_buckling": 1.0222784228584572, + "fos_yielding": 4.145751751839108, + "deflection": 0.01656490878623182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_639", + "improvement_over_parent": null + }, + "node_641": { + "node_id": "node_641", + "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n\nPerformance:\n Mass: 175.20 kg\n Factor of Safety: 1.02\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.20023773832398, + "fos_buckling": 1.0234005591469724, + "fos_yielding": 4.150302467554017, + "deflection": 0.01652640685689884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.479)" + }, + "parent_node_id": "node_640", + "improvement_over_parent": null + }, + "node_642": { + "node_id": "node_642", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0036)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n Mass: 194.33 kg\n Factor of Safety: 1.13\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.33242961673255, + "fos_buckling": 1.1263314332828696, + "fos_yielding": 4.612412946957896, + "deflection": 0.014930409587166724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_641", + "improvement_over_parent": null + }, + "node_643": { + "node_id": "node_643", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0036)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n Mass: 194.45 kg\n Factor of Safety: 1.13\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.45371994890058, + "fos_buckling": 1.1299235071582816, + "fos_yielding": 4.627122762878677, + "deflection": 0.014926932686408188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.344)" + }, + "parent_node_id": "node_642", + "improvement_over_parent": null + }, + "node_644": { + "node_id": "node_644", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0048)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.20 kg\n Factor of Safety: 1.43\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.20146006796625, + "fos_buckling": 1.4305106708210455, + "fos_yielding": 6.0378272811876705, + "deflection": 0.011581155591339884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_643", + "improvement_over_parent": null + }, + "node_645": { + "node_id": "node_645", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_644", + "improvement_over_parent": null + }, + "node_646": { + "node_id": "node_646", + "content": "INITIAL DESIGN (Trace 93)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 157.05 kg\n Factor of Safety: 0.69\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.04781063633428, + "fos_buckling": 0.6895466752320359, + "fos_yielding": 3.8379936720248944, + "deflection": 0.021854284698849844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_647": { + "node_id": "node_647", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 202.85 kg\n Factor of Safety: 0.85\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.84640873878575, + "fos_buckling": 0.8476033665217978, + "fos_yielding": 4.92994675136284, + "deflection": 0.0170151670709653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_646", + "improvement_over_parent": null + }, + "node_648": { + "node_id": "node_648", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 220.64 kg\n Factor of Safety: 0.92\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.6378844271902, + "fos_buckling": 0.9168940866628241, + "fos_yielding": 6.817556255029032, + "deflection": 0.014965796502602999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_647", + "improvement_over_parent": null + }, + "node_649": { + "node_id": "node_649", + "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 224.78 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.77856175811084, + "fos_buckling": 0.9167102271254897, + "fos_yielding": 6.816189169389556, + "deflection": 0.014832420123359592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.403)" + }, + "parent_node_id": "node_648", + "improvement_over_parent": null + }, + "node_650": { + "node_id": "node_650", + "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 228.85 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.85104745066346, + "fos_buckling": 0.9161681618097828, + "fos_yielding": 6.812158648484809, + "deflection": 0.014732592857190233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.355)" + }, + "parent_node_id": "node_649", + "improvement_over_parent": null + }, + "node_651": { + "node_id": "node_651", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.14 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.1368870527607, + "fos_buckling": 1.5233351510816358, + "fos_yielding": 7.7999123842090246, + "deflection": 0.01152233191795776, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_650", + "improvement_over_parent": null + }, + "node_652": { + "node_id": "node_652", + "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47996611507932, + "fos_buckling": 1.534610978355439, + "fos_yielding": 7.744895092399768, + "deflection": 0.011486582776360986, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.211)" + }, + "parent_node_id": "node_651", + "improvement_over_parent": null + }, + "node_653": { + "node_id": "node_653", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_652", + "improvement_over_parent": null + }, + "node_654": { + "node_id": "node_654", + "content": "INITIAL DESIGN (Trace 94)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 162.99 kg\n Factor of Safety: 0.20\n Max Deflection: 5.15e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.98901734658443, + "fos_buckling": 0.20063251322760867, + "fos_yielding": 0.8474577543759946, + "deflection": 51518964554995.33, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_655": { + "node_id": "node_655", + "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 170.84 kg\n Factor of Safety: 0.43\n Max Deflection: 1.30e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.83952711165938, + "fos_buckling": 0.4259530932695709, + "fos_yielding": 3.3898310175039783, + "deflection": 12956442018740.557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.558)" + }, + "parent_node_id": "node_654", + "improvement_over_parent": null + }, + "node_656": { + "node_id": "node_656", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 189.69 kg\n Factor of Safety: 0.44\n Max Deflection: 3.21e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.68757512697158, + "fos_buckling": 0.4437425946390831, + "fos_yielding": 1.2841719165162695, + "deflection": 0.032122293346530086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_655", + "improvement_over_parent": null + }, + "node_657": { + "node_id": "node_657", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 208.95 kg\n Factor of Safety: 0.44\n Max Deflection: 2.98e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.9538159478789, + "fos_buckling": 0.4429130727167428, + "fos_yielding": 1.281792474138437, + "deflection": 0.029818558147098218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_656", + "improvement_over_parent": null + }, + "node_658": { + "node_id": "node_658", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 234.08 kg\n Factor of Safety: 0.84\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.07595759972574, + "fos_buckling": 0.8441681867810245, + "fos_yielding": 4.910974994478477, + "deflection": 0.013259058612214401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_657", + "improvement_over_parent": null + }, + "node_659": { + "node_id": "node_659", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 251.87 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.86743328813017, + "fos_buckling": 1.437141553733703, + "fos_yielding": 6.070385772748204, + "deflection": 0.0115917653092737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_658", + "improvement_over_parent": null + }, + "node_660": { + "node_id": "node_660", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0044)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.35559528267038, + "fos_buckling": 1.4380559892107092, + "fos_yielding": 6.074248284478726, + "deflection": 0.011571650698110732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.339)" + }, + "parent_node_id": "node_659", + "improvement_over_parent": null + }, + "node_661": { + "node_id": "node_661", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_660", + "improvement_over_parent": null + }, + "node_662": { + "node_id": "node_662", + "content": "INITIAL DESIGN (Trace 95)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 122.92 kg\n Factor of Safety: 0.51\n Max Deflection: 8.18e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.92039961130334, + "fos_buckling": 0.5143283284379917, + "fos_yielding": 3.8222333915308337, + "deflection": 81759470701941.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_663": { + "node_id": "node_663", + "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 130.55 kg\n Factor of Safety: 0.51\n Max Deflection: 8.18e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.55350431170774, + "fos_buckling": 0.5143283284379917, + "fos_yielding": 3.8222333915308337, + "deflection": 81759470701941.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.626)" + }, + "parent_node_id": "node_662", + "improvement_over_parent": null + }, + "node_664": { + "node_id": "node_664", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n\nPerformance:\n Mass: 145.48 kg\n Factor of Safety: 0.40\n Max Deflection: 2.41e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.47615080547817, + "fos_buckling": 0.396907661591816, + "fos_yielding": 0.6779662035007955, + "deflection": 24103552793388.008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005267)" + }, + "parent_node_id": "node_663", + "improvement_over_parent": null + }, + "node_665": { + "node_id": "node_665", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 183.77 kg\n Factor of Safety: 0.48\n Max Deflection: 3.44e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.77203260465222, + "fos_buckling": 0.48322950666101033, + "fos_yielding": 1.6949155087519892, + "deflection": 34416484611730.85, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_664", + "improvement_over_parent": null + }, + "node_666": { + "node_id": "node_666", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 207.06 kg\n Factor of Safety: 0.44\n Max Deflection: 3.10e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.05787220674947, + "fos_buckling": 0.44313442019437155, + "fos_yielding": 1.2824304854270916, + "deflection": 0.031017531549682637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_665", + "improvement_over_parent": null + }, + "node_667": { + "node_id": "node_667", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 232.18 kg\n Factor of Safety: 0.83\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.1800138585963, + "fos_buckling": 0.8345966475275435, + "fos_yielding": 2.3966467482114133, + "deflection": 0.017884487502835153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_666", + "improvement_over_parent": null + }, + "node_668": { + "node_id": "node_668", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 249.97 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.97148954700074, + "fos_buckling": 0.8024765622177265, + "fos_yielding": 4.471300065718926, + "deflection": 0.015743824421099707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_667", + "improvement_over_parent": null + }, + "node_669": { + "node_id": "node_669", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5174817080629, + "fos_buckling": 1.5346988023885197, + "fos_yielding": 7.74523192032826, + "deflection": 0.011484478637033843, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_668", + "improvement_over_parent": null + }, + "node_670": { + "node_id": "node_670", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_669", + "improvement_over_parent": null + }, + "node_671": { + "node_id": "node_671", + "content": "INITIAL DESIGN (Trace 96)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 131.24 kg\n Factor of Safety: 0.55\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.24167523402264, + "fos_buckling": 0.5548757379612586, + "fos_yielding": 3.24879188021173, + "deflection": 0.024222905490313848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_672": { + "node_id": "node_672", + "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 131.53 kg\n Factor of Safety: 0.55\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.52818954266843, + "fos_buckling": 0.5548757379612586, + "fos_yielding": 3.2253677730865857, + "deflection": 0.0241412378065025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.304)" + }, + "parent_node_id": "node_671", + "improvement_over_parent": null + }, + "node_673": { + "node_id": "node_673", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n Mass: 140.38 kg\n Factor of Safety: 0.26\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.37651365250628, + "fos_buckling": 0.26134237577016123, + "fos_yielding": 3.226224820882734, + "deflection": 0.022089359455933197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003608)" + }, + "parent_node_id": "node_672", + "improvement_over_parent": null + }, + "node_674": { + "node_id": "node_674", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n Mass: 158.63 kg\n Factor of Safety: 0.29\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.63147812663115, + "fos_buckling": 0.2913696317680928, + "fos_yielding": 3.646519422691511, + "deflection": 0.019581637604166754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_673", + "improvement_over_parent": null + }, + "node_675": { + "node_id": "node_675", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n Mass: 182.45 kg\n Factor of Safety: 0.33\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.44938746468398, + "fos_buckling": 0.3291810606021009, + "fos_yielding": 4.195151969128673, + "deflection": 0.017064226988869727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_674", + "improvement_over_parent": null + }, + "node_676": { + "node_id": "node_676", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n\nPerformance:\n Mass: 206.01 kg\n Factor of Safety: 0.37\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.0107222046712, + "fos_buckling": 0.3650646594612291, + "fos_yielding": 4.738163248987233, + "deflection": 0.01514666299504474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_675", + "improvement_over_parent": null + }, + "node_677": { + "node_id": "node_677", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n Mass: 222.64 kg\n Factor of Safety: 1.39\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.63712254055054, + "fos_buckling": 1.3860164960664765, + "fos_yielding": 6.827097765970578, + "deflection": 0.012982406544830452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005919)" + }, + "parent_node_id": "node_676", + "improvement_over_parent": null + }, + "node_678": { + "node_id": "node_678", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.42447791860047, + "fos_buckling": 1.5342806063591345, + "fos_yielding": 7.743149748596438, + "deflection": 0.011489291852512592, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_677", + "improvement_over_parent": null + }, + "node_679": { + "node_id": "node_679", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_678", + "improvement_over_parent": null + }, + "node_680": { + "node_id": "node_680", + "content": "INITIAL DESIGN (Trace 97)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 212.62 kg\n Factor of Safety: 1.34\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.6172068220776, + "fos_buckling": 1.3353785397174271, + "fos_yielding": 6.4709668208567575, + "deflection": 0.013566769224019476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_681": { + "node_id": "node_681", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.92 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 251.92005151664517, + "fos_buckling": 1.5330974325948343, + "fos_yielding": 7.67108811054982, + "deflection": 0.011501534604548851, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_680", + "improvement_over_parent": null + }, + "node_682": { + "node_id": "node_682", + "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.00 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.00033045205245, + "fos_buckling": 1.5333003109857735, + "fos_yielding": 7.692428367763548, + "deflection": 0.011499302967902879, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.259)" + }, + "parent_node_id": "node_681", + "improvement_over_parent": null + }, + "node_683": { + "node_id": "node_683", + "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.20 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.1958456779829, + "fos_buckling": 1.5336161869251448, + "fos_yielding": 7.726880311959888, + "deflection": 0.011495838155305473, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.520)" + }, + "parent_node_id": "node_682", + "improvement_over_parent": null + }, + "node_684": { + "node_id": "node_684", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.30 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.29769101734337, + "fos_buckling": 1.533722222907608, + "fos_yielding": 7.739026486839055, + "deflection": 0.011494679796268224, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.186)" + }, + "parent_node_id": "node_683", + "improvement_over_parent": null + }, + "node_685": { + "node_id": "node_685", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_684", + "improvement_over_parent": null + }, + "node_686": { + "node_id": "node_686", + "content": "INITIAL DESIGN (Trace 98)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 158.26 kg\n Factor of Safety: 0.43\n Max Deflection: 7.71e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.25782527401077, + "fos_buckling": 0.4331322675800294, + "fos_yielding": 0.47174319189559516, + "deflection": 77073140458011.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_687": { + "node_id": "node_687", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 174.53 kg\n Factor of Safety: 0.53\n Max Deflection: 1.88e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.53051574409608, + "fos_buckling": 0.5286379128419557, + "fos_yielding": 4.693720136139396, + "deflection": 18838569522378.38, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_686", + "improvement_over_parent": null + }, + "node_688": { + "node_id": "node_688", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 204.61 kg\n Factor of Safety: 0.54\n Max Deflection: 1.13e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.60643539973998, + "fos_buckling": 0.5365636867094995, + "fos_yielding": 3.556131327897929, + "deflection": 11294215658944.578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_687", + "improvement_over_parent": null + }, + "node_689": { + "node_id": "node_689", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 205.03 kg\n Factor of Safety: 0.69\n Max Deflection: 1.13e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.02516097740914, + "fos_buckling": 0.6898675971979279, + "fos_yielding": 4.777604157797814, + "deflection": 11294215658944.586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.377)" + }, + "parent_node_id": "node_688", + "improvement_over_parent": null + }, + "node_690": { + "node_id": "node_690", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 205.73 kg\n Factor of Safety: 0.44\n Max Deflection: 2.57e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.72948182433018, + "fos_buckling": 0.442707593234227, + "fos_yielding": 2.569777996250129, + "deflection": 0.025673952374205125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_689", + "improvement_over_parent": null + }, + "node_691": { + "node_id": "node_691", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 208.61 kg\n Factor of Safety: 0.44\n Max Deflection: 2.57e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.61390992451166, + "fos_buckling": 0.44264564650571236, + "fos_yielding": 2.568349394374103, + "deflection": 0.025683894777094415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.253)" + }, + "parent_node_id": "node_690", + "improvement_over_parent": null + }, + "node_692": { + "node_id": "node_692", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 233.74 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.7360515763585, + "fos_buckling": 0.44573025925049065, + "fos_yielding": 5.8169895143780055, + "deflection": 0.013542949855505363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_691", + "improvement_over_parent": null + }, + "node_693": { + "node_id": "node_693", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35157763272582, + "fos_buckling": 1.5338062920118538, + "fos_yielding": 7.73882497738146, + "deflection": 0.011492296764760901, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_692", + "improvement_over_parent": null + }, + "node_694": { + "node_id": "node_694", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_693", + "improvement_over_parent": null + }, + "node_695": { + "node_id": "node_695", + "content": "INITIAL DESIGN (Trace 99)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 121.01 kg\n Factor of Safety: 0.52\n Max Deflection: 3.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.00805403770401, + "fos_buckling": 0.5229966231205778, + "fos_yielding": 1.4649091072296718, + "deflection": 0.03166485047316489, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_696": { + "node_id": "node_696", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 133.85 kg\n Factor of Safety: 0.57\n Max Deflection: 2.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.85216246327894, + "fos_buckling": 0.57141623791681, + "fos_yielding": 1.6182718334459372, + "deflection": 0.02865915531085629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_695", + "improvement_over_parent": null + }, + "node_697": { + "node_id": "node_697", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 170.28 kg\n Factor of Safety: 0.70\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.28207088054543, + "fos_buckling": 0.7015703610824443, + "fos_yielding": 2.051074649911279, + "deflection": 0.022600944209085067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_696", + "improvement_over_parent": null + }, + "node_698": { + "node_id": "node_698", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 190.69 kg\n Factor of Safety: 0.77\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.69308741016033, + "fos_buckling": 0.7699112130606287, + "fos_yielding": 2.2921660229827463, + "deflection": 0.02021839763442421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_697", + "improvement_over_parent": null + }, + "node_699": { + "node_id": "node_699", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n\nPerformance:\n Mass: 192.94 kg\n Factor of Safety: 0.77\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.9449026812098, + "fos_buckling": 0.7695795197250487, + "fos_yielding": 2.291163445437391, + "deflection": 0.016440911118487167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003553)" + }, + "parent_node_id": "node_698", + "improvement_over_parent": null + }, + "node_700": { + "node_id": "node_700", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n Mass: 207.69 kg\n Factor of Safety: 0.77\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.68500388671606, + "fos_buckling": 0.766337801117651, + "fos_yielding": 4.480521710060976, + "deflection": 0.014801526766647484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005581)" + }, + "parent_node_id": "node_699", + "improvement_over_parent": null + }, + "node_701": { + "node_id": "node_701", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n Mass: 223.42 kg\n Factor of Safety: 1.39\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.4178268352962, + "fos_buckling": 1.3901604947687114, + "fos_yielding": 6.847750194008355, + "deflection": 0.012937358492820263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005766)" + }, + "parent_node_id": "node_700", + "improvement_over_parent": null + }, + "node_702": { + "node_id": "node_702", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.70 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.695323286237, + "fos_buckling": 1.5357459573120564, + "fos_yielding": 7.747742690376476, + "deflection": 0.011476597942010443, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_701", + "improvement_over_parent": null + }, + "node_703": { + "node_id": "node_703", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_702", + "improvement_over_parent": null + }, + "node_704": { + "node_id": "node_704", + "content": "INITIAL DESIGN (Trace 100)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 151.14 kg\n Factor of Safety: 0.98\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.13792942605284, + "fos_buckling": 0.9805928879044296, + "fos_yielding": 4.455638451560131, + "deflection": 0.01897413483535316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_705": { + "node_id": "node_705", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 183.60 kg\n Factor of Safety: 1.16\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.5954842715175, + "fos_buckling": 1.1588148148850457, + "fos_yielding": 5.413743716272249, + "deflection": 0.01567791462781338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_704", + "improvement_over_parent": null + }, + "node_706": { + "node_id": "node_706", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 205.26 kg\n Factor of Safety: 1.27\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.25826762277202, + "fos_buckling": 1.2716209205344728, + "fos_yielding": 6.05344488103723, + "deflection": 0.014058017321470512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_705", + "improvement_over_parent": null + }, + "node_707": { + "node_id": "node_707", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 251.99 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.98651260072322, + "fos_buckling": 1.4984966678464096, + "fos_yielding": 7.433992846756339, + "deflection": 0.011512140448520662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_706", + "improvement_over_parent": null + }, + "node_708": { + "node_id": "node_708", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.69 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.69083344764425, + "fos_buckling": 1.5356222041606498, + "fos_yielding": 7.751123426671842, + "deflection": 0.011477309917937632, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_707", + "improvement_over_parent": null + }, + "node_709": { + "node_id": "node_709", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_708", + "improvement_over_parent": null + }, + "node_710": { + "node_id": "node_710", + "content": "INITIAL DESIGN (Trace 101)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0026)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 141.08 kg\n Factor of Safety: 0.95\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.0756581620028, + "fos_buckling": 0.9457553011477654, + "fos_yielding": 4.550051880394255, + "deflection": 0.02065243129139155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_711": { + "node_id": "node_711", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 179.98 kg\n Factor of Safety: 1.17\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.98324136914698, + "fos_buckling": 1.1678592047354683, + "fos_yielding": 5.803044885893094, + "deflection": 0.016252406118200582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_710", + "improvement_over_parent": null + }, + "node_712": { + "node_id": "node_712", + "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 183.02 kg\n Factor of Safety: 1.19\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.02286721736348, + "fos_buckling": 1.1922549365602357, + "fos_yielding": 5.633266595222271, + "deflection": 0.01605822866317993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.271)" + }, + "parent_node_id": "node_711", + "improvement_over_parent": null + }, + "node_713": { + "node_id": "node_713", + "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 189.08 kg\n Factor of Safety: 1.02\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.07656268272333, + "fos_buckling": 1.0167355460014278, + "fos_yielding": 5.9622945953061715, + "deflection": 0.015099186764525142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.451)" + }, + "parent_node_id": "node_712", + "improvement_over_parent": null + }, + "node_714": { + "node_id": "node_714", + "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 193.95 kg\n Factor of Safety: 1.21\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.94693532135628, + "fos_buckling": 1.2082755906819824, + "fos_yielding": 6.270822956362558, + "deflection": 0.014830138355865238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.529)" + }, + "parent_node_id": "node_713", + "improvement_over_parent": null + }, + "node_715": { + "node_id": "node_715", + "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 197.36 kg\n Factor of Safety: 1.25\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.35548093739203, + "fos_buckling": 1.2534852221405723, + "fos_yielding": 6.0494560577284, + "deflection": 0.014602835613120523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.247)" + }, + "parent_node_id": "node_714", + "improvement_over_parent": null + }, + "node_716": { + "node_id": "node_716", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.54886661217768, + "fos_buckling": 1.5349532172288118, + "fos_yielding": 7.746174076685728, + "deflection": 0.011483454517288383, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_715", + "improvement_over_parent": null + }, + "node_717": { + "node_id": "node_717", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_716", + "improvement_over_parent": null + }, + "node_718": { + "node_id": "node_718", + "content": "INITIAL DESIGN (Trace 102)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 194.42 kg\n Factor of Safety: 0.79\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.4181670838118, + "fos_buckling": 0.7914871732409618, + "fos_yielding": 5.71622396985365, + "deflection": 0.017569336804861734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_719": { + "node_id": "node_719", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n Mass: 205.40 kg\n Factor of Safety: 1.14\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.40244479228573, + "fos_buckling": 1.1447191571447053, + "fos_yielding": 6.609778846465842, + "deflection": 0.014079362421078262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003905)" + }, + "parent_node_id": "node_718", + "improvement_over_parent": null + }, + "node_720": { + "node_id": "node_720", + "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0101)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n Mass: 214.82 kg\n Factor of Safety: 1.15\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.81736883360065, + "fos_buckling": 1.1453963081652876, + "fos_yielding": 6.426522805307142, + "deflection": 0.013367852656520178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.504)" + }, + "parent_node_id": "node_719", + "improvement_over_parent": null + }, + "node_721": { + "node_id": "node_721", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0122)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n Mass: 256.62 kg\n Factor of Safety: 1.34\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.6166372628681, + "fos_buckling": 1.3423772966348697, + "fos_yielding": 7.684826673587914, + "deflection": 0.011240760834999475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_720", + "improvement_over_parent": null + }, + "node_722": { + "node_id": "node_722", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0122)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 257.32 kg\n Factor of Safety: 1.34\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.32095810978916, + "fos_buckling": 1.3407182344011994, + "fos_yielding": 7.807561947731776, + "deflection": 0.011237036502654599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_721", + "improvement_over_parent": null + }, + "node_723": { + "node_id": "node_723", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_722", + "improvement_over_parent": null + }, + "node_724": { + "node_id": "node_724", + "content": "INITIAL DESIGN (Trace 103)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n Mass: 156.22 kg\n Factor of Safety: 0.50\n Max Deflection: 2.30e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.22189757280415, + "fos_buckling": 0.5044359349886909, + "fos_yielding": 4.922090265439548, + "deflection": 0.02298741503777633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_725": { + "node_id": "node_725", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 172.35 kg\n Factor of Safety: 0.50\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.3524665370673, + "fos_buckling": 0.5020982224521279, + "fos_yielding": 4.010594739347936, + "deflection": 0.020865272484886354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005728)" + }, + "parent_node_id": "node_724", + "improvement_over_parent": null + }, + "node_726": { + "node_id": "node_726", + "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 177.75 kg\n Factor of Safety: 0.50\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.74965908871795, + "fos_buckling": 0.5013208679868071, + "fos_yielding": 4.5866746950755966, + "deflection": 0.02012338748447072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.362)" + }, + "parent_node_id": "node_725", + "improvement_over_parent": null + }, + "node_727": { + "node_id": "node_727", + "content": "MODIFICATION: Increase 13 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0093)]\n\nPerformance:\n Mass: 186.50 kg\n Factor of Safety: 0.50\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.49830901966214, + "fos_buckling": 0.5000659053800878, + "fos_yielding": 4.17167036269358, + "deflection": 0.019999623915511036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.618)" + }, + "parent_node_id": "node_726", + "improvement_over_parent": null + }, + "node_728": { + "node_id": "node_728", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0093)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n Mass: 206.43 kg\n Factor of Safety: 0.50\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.42745448473426, + "fos_buckling": 0.4991171726169746, + "fos_yielding": 3.9148662214666703, + "deflection": 0.017247091096701958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006367)" + }, + "parent_node_id": "node_727", + "improvement_over_parent": null + }, + "node_729": { + "node_id": "node_729", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0093)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n\nPerformance:\n Mass: 219.03 kg\n Factor of Safety: 1.08\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.0300849606925, + "fos_buckling": 1.0780604511630991, + "fos_yielding": 6.980027051892217, + "deflection": 0.013413598924775526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005261)" + }, + "parent_node_id": "node_728", + "improvement_over_parent": null + }, + "node_730": { + "node_id": "node_730", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0110)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 255.70 kg\n Factor of Safety: 1.24\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.6978242985267, + "fos_buckling": 1.2353399112400405, + "fos_yielding": 8.14973791358211, + "deflection": 0.011531712265055553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_729", + "improvement_over_parent": null + }, + "node_731": { + "node_id": "node_731", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_730", + "improvement_over_parent": null + }, + "node_732": { + "node_id": "node_732", + "content": "INITIAL DESIGN (Trace 104)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 214.29 kg\n Factor of Safety: 1.21\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.29046034287623, + "fos_buckling": 1.2128478082353815, + "fos_yielding": 5.037915198704014, + "deflection": 0.013936474995106371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_733": { + "node_id": "node_733", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 245.77 kg\n Factor of Safety: 1.37\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.76823018083263, + "fos_buckling": 1.3719716980232315, + "fos_yielding": 5.797754598037, + "deflection": 0.012188125152576456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_732", + "improvement_over_parent": null + }, + "node_734": { + "node_id": "node_734", + "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.71 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.70672768736307, + "fos_buckling": 1.4407052460646481, + "fos_yielding": 6.088212662711867, + "deflection": 0.011597718582765187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.323)" + }, + "parent_node_id": "node_733", + "improvement_over_parent": null + }, + "node_735": { + "node_id": "node_735", + "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.30 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.2992500591683, + "fos_buckling": 1.5337625766658394, + "fos_yielding": 7.741665468725797, + "deflection": 0.011494658775427673, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.333)" + }, + "parent_node_id": "node_734", + "improvement_over_parent": null + }, + "node_736": { + "node_id": "node_736", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_735", + "improvement_over_parent": null + }, + "node_737": { + "node_id": "node_737", + "content": "INITIAL DESIGN (Trace 105)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0013)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n Mass: 167.10 kg\n Factor of Safety: 0.32\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.0977365121214, + "fos_buckling": 0.31815075581764946, + "fos_yielding": 2.8707967141749133, + "deflection": 0.019714383190161455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_738": { + "node_id": "node_738", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0013)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 180.91 kg\n Factor of Safety: 0.69\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.90798308717194, + "fos_buckling": 0.6912663766906743, + "fos_yielding": 2.7208474490710897, + "deflection": 0.016945102851872482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004882)" + }, + "parent_node_id": "node_737", + "improvement_over_parent": null + }, + "node_739": { + "node_id": "node_739", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 200.60 kg\n Factor of Safety: 0.76\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.59667224591328, + "fos_buckling": 0.7647039710600742, + "fos_yielding": 3.0288061956846173, + "deflection": 0.015306440100637472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_738", + "improvement_over_parent": null + }, + "node_740": { + "node_id": "node_740", + "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 206.53 kg\n Factor of Safety: 0.81\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.5276395571085, + "fos_buckling": 0.8144086183432744, + "fos_yielding": 3.225674198654421, + "deflection": 0.0143470192340399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.410)" + }, + "parent_node_id": "node_739", + "improvement_over_parent": null + }, + "node_741": { + "node_id": "node_741", + "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 206.92 kg\n Factor of Safety: 1.06\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.91824947526464, + "fos_buckling": 1.062357105929239, + "fos_yielding": 4.3151107328623075, + "deflection": 0.014115276014931503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.422)" + }, + "parent_node_id": "node_740", + "improvement_over_parent": null + }, + "node_742": { + "node_id": "node_742", + "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 207.65 kg\n Factor of Safety: 1.31\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.65339108514138, + "fos_buckling": 1.308224846533637, + "fos_yielding": 6.365520513559303, + "deflection": 0.013895196746925473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.582)" + }, + "parent_node_id": "node_741", + "improvement_over_parent": null + }, + "node_743": { + "node_id": "node_743", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.28 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.2843659952599, + "fos_buckling": 1.533645569939352, + "fos_yielding": 7.737628015904323, + "deflection": 0.011495312852177867, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_742", + "improvement_over_parent": null + }, + "node_744": { + "node_id": "node_744", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_743", + "improvement_over_parent": null + }, + "node_745": { + "node_id": "node_745", + "content": "INITIAL DESIGN (Trace 106)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0010)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 192.97 kg\n Factor of Safety: 0.72\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.96674428794606, + "fos_buckling": 0.7227642670714532, + "fos_yielding": 4.414177420459007, + "deflection": 0.015059854130907099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_746": { + "node_id": "node_746", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 193.14 kg\n Factor of Safety: 0.91\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.14479286564324, + "fos_buckling": 0.9145325863888908, + "fos_yielding": 5.531138180734562, + "deflection": 0.01500408278240428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.335)" + }, + "parent_node_id": "node_745", + "improvement_over_parent": null + }, + "node_747": { + "node_id": "node_747", + "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 193.57 kg\n Factor of Safety: 0.91\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.57441906624575, + "fos_buckling": 0.9143971959500267, + "fos_yielding": 5.683956194017513, + "deflection": 0.014919522428137448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.381)" + }, + "parent_node_id": "node_746", + "improvement_over_parent": null + }, + "node_748": { + "node_id": "node_748", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 193.88 kg\n Factor of Safety: 1.22\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.87511961302965, + "fos_buckling": 1.2216089258016645, + "fos_yielding": 5.946578314425795, + "deflection": 0.014866421754299848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.435)" + }, + "parent_node_id": "node_747", + "improvement_over_parent": null + }, + "node_749": { + "node_id": "node_749", + "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 194.11 kg\n Factor of Safety: 1.24\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.1050923992394, + "fos_buckling": 1.2359758285560976, + "fos_yielding": 5.950109808233454, + "deflection": 0.014842051481764854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.239)" + }, + "parent_node_id": "node_748", + "improvement_over_parent": null + }, + "node_750": { + "node_id": "node_750", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4652894512944, + "fos_buckling": 1.534531742746401, + "fos_yielding": 7.744247208438664, + "deflection": 0.011487297489923866, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_749", + "improvement_over_parent": null + }, + "node_751": { + "node_id": "node_751", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_750", + "improvement_over_parent": null + }, + "node_752": { + "node_id": "node_752", + "content": "INITIAL DESIGN (Trace 107)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 151.95 kg\n Factor of Safety: 0.62\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.9484976013587, + "fos_buckling": 0.6190913511548755, + "fos_yielding": 3.5430181712538897, + "deflection": 0.019307713873949313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_753": { + "node_id": "node_753", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 186.50 kg\n Factor of Safety: 0.74\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.4981779445302, + "fos_buckling": 0.7406778683278882, + "fos_yielding": 4.3408317404593095, + "deflection": 0.015787072540822296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_752", + "improvement_over_parent": null + }, + "node_754": { + "node_id": "node_754", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n Mass: 199.68 kg\n Factor of Safety: 1.27\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.68044393552245, + "fos_buckling": 1.2659351730954305, + "fos_yielding": 6.121506008769881, + "deflection": 0.014436775280008245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004947)" + }, + "parent_node_id": "node_753", + "improvement_over_parent": null + }, + "node_755": { + "node_id": "node_755", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.42994656331314, + "fos_buckling": 1.5343682285818891, + "fos_yielding": 7.743282620747999, + "deflection": 0.011488809117808758, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_754", + "improvement_over_parent": null + }, + "node_756": { + "node_id": "node_756", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_755", + "improvement_over_parent": null + }, + "node_757": { + "node_id": "node_757", + "content": "INITIAL DESIGN (Trace 108)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n Mass: 168.82 kg\n Factor of Safety: 0.34\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.81643997979916, + "fos_buckling": 0.3423207984578942, + "fos_yielding": 4.267092267723379, + "deflection": 0.01859446214803208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_758": { + "node_id": "node_758", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 204.98 kg\n Factor of Safety: 0.40\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.97970046140665, + "fos_buckling": 0.401826071128719, + "fos_yielding": 5.138874500012602, + "deflection": 0.015385484511432538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_757", + "improvement_over_parent": null + }, + "node_759": { + "node_id": "node_759", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 221.29 kg\n Factor of Safety: 1.38\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.28931432842708, + "fos_buckling": 1.3791879840322945, + "fos_yielding": 6.785754445856561, + "deflection": 0.013059070975372839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005839)" + }, + "parent_node_id": "node_758", + "improvement_over_parent": null + }, + "node_760": { + "node_id": "node_760", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5080747559483, + "fos_buckling": 1.5347733455302583, + "fos_yielding": 7.745824328936832, + "deflection": 0.011485249140978765, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_759", + "improvement_over_parent": null + }, + "node_761": { + "node_id": "node_761", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_760", + "improvement_over_parent": null + }, + "node_762": { + "node_id": "node_762", + "content": "INITIAL DESIGN (Trace 109)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 236.90 kg\n Factor of Safety: 1.29\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.90296976954937, + "fos_buckling": 1.2914326776980225, + "fos_yielding": 7.996833154830544, + "deflection": 0.0123852429202162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_763": { + "node_id": "node_763", + "content": "MODIFICATION: Increase 11 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.70 kg\n Factor of Safety: 1.29\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.7029283582442, + "fos_buckling": 1.290357581391651, + "fos_yielding": 7.686590289385482, + "deflection": 0.01218726627048253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.285)" + }, + "parent_node_id": "node_762", + "improvement_over_parent": null + }, + "node_764": { + "node_id": "node_764", + "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.50 kg\n Factor of Safety: 1.30\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.49813851176512, + "fos_buckling": 1.3038636874790575, + "fos_yielding": 7.405287484616469, + "deflection": 0.012046583700074661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.443)" + }, + "parent_node_id": "node_763", + "improvement_over_parent": null + }, + "node_765": { + "node_id": "node_765", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.95 kg\n Factor of Safety: 1.28\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.94830561797016, + "fos_buckling": 1.2848339941128037, + "fos_yielding": 7.73473444326827, + "deflection": 0.011527579332560274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.289)" + }, + "parent_node_id": "node_764", + "improvement_over_parent": null + }, + "node_766": { + "node_id": "node_766", + "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49578816289795, + "fos_buckling": 1.5346308477183024, + "fos_yielding": 7.745074884590651, + "deflection": 0.011485435587719684, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.550)" + }, + "parent_node_id": "node_765", + "improvement_over_parent": null + }, + "node_767": { + "node_id": "node_767", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_766", + "improvement_over_parent": null + }, + "node_768": { + "node_id": "node_768", + "content": "INITIAL DESIGN (Trace 110)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 180.04 kg\n Factor of Safety: 0.01\n Max Deflection: 3.06e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.03621884858094, + "fos_buckling": 0.01362110428260901, + "fos_yielding": 0.21186443859399862, + "deflection": 305783541061255.9, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_769": { + "node_id": "node_769", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n Mass: 182.25 kg\n Factor of Safety: 0.39\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.25353124325875, + "fos_buckling": 0.39484802791626056, + "fos_yielding": 5.963279071250125, + "deflection": 0.01892357866359962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003494)" + }, + "parent_node_id": "node_768", + "improvement_over_parent": null + }, + "node_770": { + "node_id": "node_770", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 199.03 kg\n Factor of Safety: 0.39\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.03171503251264, + "fos_buckling": 0.3941928876417083, + "fos_yielding": 4.678467204657584, + "deflection": 0.015449515522120367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006132)" + }, + "parent_node_id": "node_769", + "improvement_over_parent": null + }, + "node_771": { + "node_id": "node_771", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n Mass: 215.45 kg\n Factor of Safety: 1.33\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.44557774090117, + "fos_buckling": 1.3326288391584489, + "fos_yielding": 6.712261836991355, + "deflection": 0.013297951091076168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005837)" + }, + "parent_node_id": "node_770", + "improvement_over_parent": null + }, + "node_772": { + "node_id": "node_772", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 247.46 kg\n Factor of Safety: 1.49\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.46213954444357, + "fos_buckling": 1.4877640264253993, + "fos_yielding": 7.711310205864309, + "deflection": 0.011620874176397991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_771", + "improvement_over_parent": null + }, + "node_773": { + "node_id": "node_773", + "content": "MODIFICATION: Increase 14 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 254.69 kg\n Factor of Safety: 1.49\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.68600932394452, + "fos_buckling": 1.487314737545372, + "fos_yielding": 7.3917991387258875, + "deflection": 0.01141265562531125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.431)" + }, + "parent_node_id": "node_772", + "improvement_over_parent": null + }, + "node_774": { + "node_id": "node_774", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_773", + "improvement_over_parent": null + }, + "node_775": { + "node_id": "node_775", + "content": "INITIAL DESIGN (Trace 111)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 192.00 kg\n Factor of Safety: 0.68\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.00169067090476, + "fos_buckling": 0.6794628690980569, + "fos_yielding": 3.8666199131453354, + "deflection": 0.02120912094586162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_776": { + "node_id": "node_776", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 209.79 kg\n Factor of Safety: 0.68\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.7931663593092, + "fos_buckling": 0.67887642260709, + "fos_yielding": 3.8821946365984905, + "deflection": 0.019441321536140928, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_775", + "improvement_over_parent": null + }, + "node_777": { + "node_id": "node_777", + "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 219.10 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.10047315108184, + "fos_buckling": 0.6779580924947024, + "fos_yielding": 3.8769769937359704, + "deflection": 0.018557036254719016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.645)" + }, + "parent_node_id": "node_776", + "improvement_over_parent": null + }, + "node_778": { + "node_id": "node_778", + "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 225.34 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.33682671334643, + "fos_buckling": 0.6775486772200651, + "fos_yielding": 3.874650804440276, + "deflection": 0.018567207031088686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.422)" + }, + "parent_node_id": "node_777", + "improvement_over_parent": null + }, + "node_779": { + "node_id": "node_779", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47535028172888, + "fos_buckling": 1.5345341722094985, + "fos_yielding": 7.744082652361716, + "deflection": 0.011486786038314462, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_778", + "improvement_over_parent": null + }, + "node_780": { + "node_id": "node_780", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_779", + "improvement_over_parent": null + }, + "node_781": { + "node_id": "node_781", + "content": "INITIAL DESIGN (Trace 112)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 197.91 kg\n Factor of Safety: 0.84\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9073058655679, + "fos_buckling": 0.8447366856469558, + "fos_yielding": 6.1730408316952845, + "deflection": 0.016850287814637273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_782": { + "node_id": "node_782", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n\nPerformance:\n Mass: 218.93 kg\n Factor of Safety: 1.22\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.9333977429467, + "fos_buckling": 1.2158753403675548, + "fos_yielding": 6.6833302621301724, + "deflection": 0.013289160108623339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006748)" + }, + "parent_node_id": "node_781", + "improvement_over_parent": null + }, + "node_783": { + "node_id": "node_783", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n Mass: 242.72 kg\n Factor of Safety: 1.33\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.71699045119118, + "fos_buckling": 1.3308995482490247, + "fos_yielding": 7.409537828563055, + "deflection": 0.012016747730375197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_782", + "improvement_over_parent": null + }, + "node_784": { + "node_id": "node_784", + "content": "MODIFICATION: Increase 12 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0094)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n Mass: 249.36 kg\n Factor of Safety: 1.29\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.36215992833235, + "fos_buckling": 1.2868268963226852, + "fos_yielding": 7.517583600363011, + "deflection": 0.011896910833701573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.429)" + }, + "parent_node_id": "node_783", + "improvement_over_parent": null + }, + "node_785": { + "node_id": "node_785", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0094)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n Mass: 253.32 kg\n Factor of Safety: 1.34\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.31825809300324, + "fos_buckling": 1.3378353731372334, + "fos_yielding": 7.402351378837351, + "deflection": 0.011544554474031994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.205)" + }, + "parent_node_id": "node_784", + "improvement_over_parent": null + }, + "node_786": { + "node_id": "node_786", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0094)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 254.02 kg\n Factor of Safety: 1.31\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.02257893992427, + "fos_buckling": 1.306116719393756, + "fos_yielding": 7.4712217229538265, + "deflection": 0.01154351217314195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_785", + "improvement_over_parent": null + }, + "node_787": { + "node_id": "node_787", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_786", + "improvement_over_parent": null + }, + "node_788": { + "node_id": "node_788", + "content": "INITIAL DESIGN (Trace 113)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 131.66 kg\n Factor of Safety: 0.56\n Max Deflection: 2.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.65843113325974, + "fos_buckling": 0.5550798610415861, + "fos_yielding": 3.266023968506899, + "deflection": 0.02687241850336936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_789": { + "node_id": "node_789", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n Mass: 140.53 kg\n Factor of Safety: 0.60\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.53236065689532, + "fos_buckling": 0.5969665580239328, + "fos_yielding": 4.141905967480737, + "deflection": 0.024200818336443178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003619)" + }, + "parent_node_id": "node_788", + "improvement_over_parent": null + }, + "node_790": { + "node_id": "node_790", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n Mass: 156.57 kg\n Factor of Safety: 0.66\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.56783458973578, + "fos_buckling": 0.6563212669387756, + "fos_yielding": 4.6070284583254555, + "deflection": 0.021761996925590554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_789", + "improvement_over_parent": null + }, + "node_791": { + "node_id": "node_791", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n Mass: 182.27 kg\n Factor of Safety: 0.75\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.2658069668357, + "fos_buckling": 0.7477672670116883, + "fos_yielding": 5.349279069827743, + "deflection": 0.018748517713739393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_790", + "improvement_over_parent": null + }, + "node_792": { + "node_id": "node_792", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 197.34 kg\n Factor of Safety: 1.25\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.33680748236392, + "fos_buckling": 1.2534683020167745, + "fos_yielding": 6.048142718848958, + "deflection": 0.014604557806606449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005462)" + }, + "parent_node_id": "node_791", + "improvement_over_parent": null + }, + "node_793": { + "node_id": "node_793", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.17 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.17421017650554, + "fos_buckling": 1.5332410422887714, + "fos_yielding": 7.7337176721479395, + "deflection": 0.011500309775017713, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_792", + "improvement_over_parent": null + }, + "node_794": { + "node_id": "node_794", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_793", + "improvement_over_parent": null + }, + "node_795": { + "node_id": "node_795", + "content": "INITIAL DESIGN (Trace 114)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 166.74 kg\n Factor of Safety: 1.06\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.74399875017687, + "fos_buckling": 1.0645827857096337, + "fos_yielding": 5.763689125187045, + "deflection": 0.017124097413033924, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_796": { + "node_id": "node_796", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 215.46 kg\n Factor of Safety: 1.32\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.45970733078684, + "fos_buckling": 1.3222058370407, + "fos_yielding": 7.438373536941342, + "deflection": 0.013326818173428045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_795", + "improvement_over_parent": null + }, + "node_797": { + "node_id": "node_797", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 240.26 kg\n Factor of Safety: 1.44\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.2587655869135, + "fos_buckling": 1.4443286429991047, + "fos_yielding": 8.288754716421439, + "deflection": 0.011985232523797585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_796", + "improvement_over_parent": null + }, + "node_798": { + "node_id": "node_798", + "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.98 kg\n Factor of Safety: 1.47\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.9809588360679, + "fos_buckling": 1.4731961140246568, + "fos_yielding": 7.789705721441151, + "deflection": 0.011684550953896549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.445)" + }, + "parent_node_id": "node_797", + "improvement_over_parent": null + }, + "node_799": { + "node_id": "node_799", + "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4896540396371, + "fos_buckling": 1.5346883781529375, + "fos_yielding": 7.744074347368608, + "deflection": 0.011486371049318532, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.610)" + }, + "parent_node_id": "node_798", + "improvement_over_parent": null + }, + "node_800": { + "node_id": "node_800", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_799", + "improvement_over_parent": null + }, + "node_801": { + "node_id": "node_801", + "content": "INITIAL DESIGN (Trace 115)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n Mass: 182.94 kg\n Factor of Safety: 0.68\n Max Deflection: 2.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.94034301965775, + "fos_buckling": 0.6762651479128782, + "fos_yielding": 4.379763421224608, + "deflection": 0.023470224923541293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_802": { + "node_id": "node_802", + "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n Mass: 189.92 kg\n Factor of Safety: 0.67\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.91713840729483, + "fos_buckling": 0.6696661535943177, + "fos_yielding": 4.943800786158169, + "deflection": 0.021395458552576924, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.502)" + }, + "parent_node_id": "node_801", + "improvement_over_parent": null + }, + "node_803": { + "node_id": "node_803", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n Mass: 226.12 kg\n Factor of Safety: 0.77\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.12313039050218, + "fos_buckling": 0.7745313618236931, + "fos_yielding": 5.837727119432793, + "deflection": 0.018026951960547013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_802", + "improvement_over_parent": null + }, + "node_804": { + "node_id": "node_804", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 244.74 kg\n Factor of Safety: 0.80\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.7386564468695, + "fos_buckling": 0.804327299969417, + "fos_yielding": 4.170932130164562, + "deflection": 0.01593100875661433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_803", + "improvement_over_parent": null + }, + "node_805": { + "node_id": "node_805", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 247.28 kg\n Factor of Safety: 1.49\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.28464860793164, + "fos_buckling": 1.4868471107939376, + "fos_yielding": 7.710491043279806, + "deflection": 0.011628226033892231, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_804", + "improvement_over_parent": null + }, + "node_806": { + "node_id": "node_806", + "content": "MODIFICATION: Increase 14 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0097)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 254.33 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.32598517420973, + "fos_buckling": 1.5330319025147996, + "fos_yielding": 7.682931633177415, + "deflection": 0.011481303718260272, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.435)" + }, + "parent_node_id": "node_805", + "improvement_over_parent": null + }, + "node_807": { + "node_id": "node_807", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_806", + "improvement_over_parent": null + }, + "node_808": { + "node_id": "node_808", + "content": "INITIAL DESIGN (Trace 116)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n Mass: 128.22 kg\n Factor of Safety: 0.56\n Max Deflection: 2.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.21948905198536, + "fos_buckling": 0.5596528520393953, + "fos_yielding": 3.8555724748507867, + "deflection": 0.026195142242423173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_809": { + "node_id": "node_809", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 157.11 kg\n Factor of Safety: 0.67\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.10748326896407, + "fos_buckling": 0.669208552283551, + "fos_yielding": 4.709574487765879, + "deflection": 0.02145167026760559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_808", + "improvement_over_parent": null + }, + "node_810": { + "node_id": "node_810", + "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 159.61 kg\n Factor of Safety: 0.67\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.6072637729856, + "fos_buckling": 0.6691270151811202, + "fos_yielding": 4.709000668055858, + "deflection": 0.021317510816780304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.258)" + }, + "parent_node_id": "node_809", + "improvement_over_parent": null + }, + "node_811": { + "node_id": "node_811", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 172.84 kg\n Factor of Safety: 1.10\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.8406512306061, + "fos_buckling": 1.1009853840026935, + "fos_yielding": 5.095064522993402, + "deflection": 0.016633568829589607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004754)" + }, + "parent_node_id": "node_810", + "improvement_over_parent": null + }, + "node_812": { + "node_id": "node_812", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n Mass: 173.32 kg\n Factor of Safety: 1.12\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.32453248627823, + "fos_buckling": 1.1216610523434767, + "fos_yielding": 5.31077081283825, + "deflection": 0.01658255211459738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001425)" + }, + "parent_node_id": "node_811", + "improvement_over_parent": null + }, + "node_813": { + "node_id": "node_813", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 208.72 kg\n Factor of Safety: 1.31\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.72106612524578, + "fos_buckling": 1.3138682927631524, + "fos_yielding": 6.39794283760921, + "deflection": 0.013826216293415463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_812", + "improvement_over_parent": null + }, + "node_814": { + "node_id": "node_814", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.43643260028503, + "fos_buckling": 1.5344152147278107, + "fos_yielding": 7.741842939540146, + "deflection": 0.011488920918914361, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_813", + "improvement_over_parent": null + }, + "node_815": { + "node_id": "node_815", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_814", + "improvement_over_parent": null + }, + "node_816": { + "node_id": "node_816", + "content": "INITIAL DESIGN (Trace 117)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 173.69 kg\n Factor of Safety: 1.11\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.68660503985888, + "fos_buckling": 1.1105715760624855, + "fos_yielding": 5.106314740516887, + "deflection": 0.017249945596000335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_817": { + "node_id": "node_817", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 206.86 kg\n Factor of Safety: 1.28\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.85618174144773, + "fos_buckling": 1.283839620977484, + "fos_yielding": 6.078021518980293, + "deflection": 0.014529063763531058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_816", + "improvement_over_parent": null + }, + "node_818": { + "node_id": "node_818", + "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 212.34 kg\n Factor of Safety: 1.33\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.34145791620634, + "fos_buckling": 1.3270596187274044, + "fos_yielding": 6.047577171341706, + "deflection": 0.014334922427451782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.590)" + }, + "parent_node_id": "node_817", + "improvement_over_parent": null + }, + "node_819": { + "node_id": "node_819", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 243.15 kg\n Factor of Safety: 1.48\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.15403167745984, + "fos_buckling": 1.4805968179873068, + "fos_yielding": 6.924341138076807, + "deflection": 0.01255240140717514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_818", + "improvement_over_parent": null + }, + "node_820": { + "node_id": "node_820", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5638231712853, + "fos_buckling": 1.5349979731887757, + "fos_yielding": 7.747747609235229, + "deflection": 0.01148234015847236, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.616)" + }, + "parent_node_id": "node_819", + "improvement_over_parent": null + }, + "node_821": { + "node_id": "node_821", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_820", + "improvement_over_parent": null + }, + "node_822": { + "node_id": "node_822", + "content": "INITIAL DESIGN (Trace 118)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 162.17 kg\n Factor of Safety: 0.94\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.17368712204046, + "fos_buckling": 0.9398201286701714, + "fos_yielding": 3.7802985966723246, + "deflection": 0.017841854757891514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_823": { + "node_id": "node_823", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 209.74 kg\n Factor of Safety: 1.19\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.73730917734417, + "fos_buckling": 1.19287630028556, + "fos_yielding": 4.913318687575722, + "deflection": 0.013867860430886135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_822", + "improvement_over_parent": null + }, + "node_824": { + "node_id": "node_824", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.95 kg\n Factor of Safety: 1.41\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.95012053337632, + "fos_buckling": 1.4086664167740357, + "fos_yielding": 5.929811954146185, + "deflection": 0.011597579451676861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_823", + "improvement_over_parent": null + }, + "node_825": { + "node_id": "node_825", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.60 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.60140960364922, + "fos_buckling": 1.5351781361486998, + "fos_yielding": 7.747297227261859, + "deflection": 0.01148131843559891, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.377)" + }, + "parent_node_id": "node_824", + "improvement_over_parent": null + }, + "node_826": { + "node_id": "node_826", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_825", + "improvement_over_parent": null + }, + "node_827": { + "node_id": "node_827", + "content": "INITIAL DESIGN (Trace 119)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 220.39 kg\n Factor of Safety: 0.66\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.3903756951693, + "fos_buckling": 0.6617263536003191, + "fos_yielding": 5.847075393082368, + "deflection": 0.01425666480921793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_828": { + "node_id": "node_828", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 239.01 kg\n Factor of Safety: 1.27\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.0059017515366, + "fos_buckling": 1.270743731314579, + "fos_yielding": 7.95833344888904, + "deflection": 0.012326584371457151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_827", + "improvement_over_parent": null + }, + "node_829": { + "node_id": "node_829", + "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 244.56 kg\n Factor of Safety: 1.23\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.56356039661586, + "fos_buckling": 1.231666872291949, + "fos_yielding": 7.71360536833766, + "deflection": 0.012249387693177665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.548)" + }, + "parent_node_id": "node_828", + "improvement_over_parent": null + }, + "node_830": { + "node_id": "node_830", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49882408119737, + "fos_buckling": 1.5345520202991343, + "fos_yielding": 7.743287593607525, + "deflection": 0.011485735673508418, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.506)" + }, + "parent_node_id": "node_829", + "improvement_over_parent": null + }, + "node_831": { + "node_id": "node_831", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_830", + "improvement_over_parent": null + }, + "node_832": { + "node_id": "node_832", + "content": "INITIAL DESIGN (Trace 120)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 141.54 kg\n Factor of Safety: 0.47\n Max Deflection: 2.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.54103875757792, + "fos_buckling": 0.46672667461195305, + "fos_yielding": 2.5127648616666156, + "deflection": 0.0289247533194096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_833": { + "node_id": "node_833", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 169.20 kg\n Factor of Safety: 0.54\n Max Deflection: 2.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.20497279746888, + "fos_buckling": 0.5444623777308415, + "fos_yielding": 2.9924262855398753, + "deflection": 0.024272508815971428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_832", + "improvement_over_parent": null + }, + "node_834": { + "node_id": "node_834", + "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 172.83 kg\n Factor of Safety: 0.54\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.82979560401236, + "fos_buckling": 0.544366314576581, + "fos_yielding": 2.9919009404058903, + "deflection": 0.024070655812436538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.473)" + }, + "parent_node_id": "node_833", + "improvement_over_parent": null + }, + "node_835": { + "node_id": "node_835", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n Mass: 193.65 kg\n Factor of Safety: 1.23\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.6534223083044, + "fos_buckling": 1.2337580198044527, + "fos_yielding": 5.936175718228658, + "deflection": 0.014875972866899014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006111)" + }, + "parent_node_id": "node_834", + "improvement_over_parent": null + }, + "node_836": { + "node_id": "node_836", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n\nPerformance:\n Mass: 228.41 kg\n Factor of Safety: 1.42\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4075208608086, + "fos_buckling": 1.4156964197310158, + "fos_yielding": 7.00429489565915, + "deflection": 0.012662594784432943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_835", + "improvement_over_parent": null + }, + "node_837": { + "node_id": "node_837", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.51619493540306, + "fos_buckling": 1.5350211406474716, + "fos_yielding": 7.745740233675406, + "deflection": 0.011485100398991874, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_836", + "improvement_over_parent": null + }, + "node_838": { + "node_id": "node_838", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_837", + "improvement_over_parent": null + }, + "node_839": { + "node_id": "node_839", + "content": "INITIAL DESIGN (Trace 121)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 145.53 kg\n Factor of Safety: 0.21\n Max Deflection: 3.84e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.5340374586333, + "fos_buckling": 0.20958374532496138, + "fos_yielding": 1.3763441100201295, + "deflection": 38413381620259.125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_840": { + "node_id": "node_840", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n Mass: 146.08 kg\n Factor of Safety: 0.11\n Max Deflection: 5.32e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.07719142994583, + "fos_buckling": 0.10835623658643341, + "fos_yielding": 0.564971836250663, + "deflection": 53183882208289.3, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001612)" + }, + "parent_node_id": "node_839", + "improvement_over_parent": null + }, + "node_841": { + "node_id": "node_841", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n Mass: 167.00 kg\n Factor of Safety: 0.74\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.99937198334115, + "fos_buckling": 0.7391367301669435, + "fos_yielding": 3.9825092985366264, + "deflection": 0.022835647808055182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006142)" + }, + "parent_node_id": "node_840", + "improvement_over_parent": null + }, + "node_842": { + "node_id": "node_842", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 181.85 kg\n Factor of Safety: 0.69\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.85157909785414, + "fos_buckling": 0.6945912646760014, + "fos_yielding": 3.590179883501039, + "deflection": 0.02282884285505472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005377)" + }, + "parent_node_id": "node_841", + "improvement_over_parent": null + }, + "node_843": { + "node_id": "node_843", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 236.10 kg\n Factor of Safety: 0.86\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.09724128340895, + "fos_buckling": 0.8638282792279287, + "fos_yielding": 4.651495474360661, + "deflection": 0.01763389762677565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_842", + "improvement_over_parent": null + }, + "node_844": { + "node_id": "node_844", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 238.64 kg\n Factor of Safety: 1.45\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.6432334444711, + "fos_buckling": 1.453430687493879, + "fos_yielding": 7.16155328358924, + "deflection": 0.012531008950764555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_843", + "improvement_over_parent": null + }, + "node_845": { + "node_id": "node_845", + "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 246.98 kg\n Factor of Safety: 1.48\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.97771390711478, + "fos_buckling": 1.475114695619811, + "fos_yielding": 7.707173022586047, + "deflection": 0.011637521700920245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.513)" + }, + "parent_node_id": "node_844", + "improvement_over_parent": null + }, + "node_846": { + "node_id": "node_846", + "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0106)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 255.14 kg\n Factor of Safety: 1.47\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.1384586582916, + "fos_buckling": 1.474581500436513, + "fos_yielding": 7.357957818945696, + "deflection": 0.011409165691123888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.490)" + }, + "parent_node_id": "node_845", + "improvement_over_parent": null + }, + "node_847": { + "node_id": "node_847", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_846", + "improvement_over_parent": null + }, + "node_848": { + "node_id": "node_848", + "content": "INITIAL DESIGN (Trace 122)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0024)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 114.04 kg\n Factor of Safety: 0.51\n Max Deflection: 2.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.04259343232876, + "fos_buckling": 0.5115518273934632, + "fos_yielding": 3.493015867210452, + "deflection": 0.028921711117082576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_849": { + "node_id": "node_849", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0024)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n\nPerformance:\n Mass: 125.85 kg\n Factor of Safety: 0.82\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.84542312054539, + "fos_buckling": 0.8188288413927614, + "fos_yielding": 3.8095735330272347, + "deflection": 0.022593385183695684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003653)" + }, + "parent_node_id": "node_848", + "improvement_over_parent": null + }, + "node_850": { + "node_id": "node_850", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n Mass: 149.29 kg\n Factor of Safety: 0.95\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.28519598643277, + "fos_buckling": 0.9524453070497247, + "fos_yielding": 4.519338501753072, + "deflection": 0.019098351182915307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_849", + "improvement_over_parent": null + }, + "node_851": { + "node_id": "node_851", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n Mass: 149.71 kg\n Factor of Safety: 1.00\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.70882403216356, + "fos_buckling": 0.9989845127538295, + "fos_yielding": 4.665584457508202, + "deflection": 0.019065724434497326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001238)" + }, + "parent_node_id": "node_850", + "improvement_over_parent": null + }, + "node_852": { + "node_id": "node_852", + "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n Mass: 151.79 kg\n Factor of Safety: 1.00\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.78761085836047, + "fos_buckling": 0.9987305518906098, + "fos_yielding": 4.65098228986236, + "deflection": 0.018887618982017827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.305)" + }, + "parent_node_id": "node_851", + "improvement_over_parent": null + }, + "node_853": { + "node_id": "node_853", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n Mass: 197.25 kg\n Factor of Safety: 1.25\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.24816652037626, + "fos_buckling": 1.252959449927068, + "fos_yielding": 6.047087247200006, + "deflection": 0.014610450227032052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_852", + "improvement_over_parent": null + }, + "node_854": { + "node_id": "node_854", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.41 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4148967382574, + "fos_buckling": 1.5343564965737724, + "fos_yielding": 7.743213909061245, + "deflection": 0.011489260466329665, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_853", + "improvement_over_parent": null + }, + "node_855": { + "node_id": "node_855", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_854", + "improvement_over_parent": null + }, + "node_856": { + "node_id": "node_856", + "content": "INITIAL DESIGN (Trace 123)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 156.56 kg\n Factor of Safety: 0.65\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.56181081717932, + "fos_buckling": 0.6523034275929149, + "fos_yielding": 3.9224498781771686, + "deflection": 0.02235130347219822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_857": { + "node_id": "node_857", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 175.35 kg\n Factor of Safety: 0.72\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.34727872716127, + "fos_buckling": 0.7169225470766731, + "fos_yielding": 4.377076564354646, + "deflection": 0.020005714189871966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_856", + "improvement_over_parent": null + }, + "node_858": { + "node_id": "node_858", + "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 177.82 kg\n Factor of Safety: 0.72\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.82322791644754, + "fos_buckling": 0.7165829722731331, + "fos_yielding": 4.372432705166266, + "deflection": 0.020009887685155044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.222)" + }, + "parent_node_id": "node_857", + "improvement_over_parent": null + }, + "node_859": { + "node_id": "node_859", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 218.63 kg\n Factor of Safety: 0.85\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.63091823769736, + "fos_buckling": 0.8455965402849577, + "fos_yielding": 5.334174715913489, + "deflection": 0.016357450754151424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_858", + "improvement_over_parent": null + }, + "node_860": { + "node_id": "node_860", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 237.90 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.89715905860467, + "fos_buckling": 0.844053343446801, + "fos_yielding": 5.005549801150405, + "deflection": 0.013140037185414396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_859", + "improvement_over_parent": null + }, + "node_861": { + "node_id": "node_861", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.62 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.62166666726225, + "fos_buckling": 1.5352817245260366, + "fos_yielding": 7.750759673996716, + "deflection": 0.011479858416456672, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_860", + "improvement_over_parent": null + }, + "node_862": { + "node_id": "node_862", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_861", + "improvement_over_parent": null + }, + "node_863": { + "node_id": "node_863", + "content": "INITIAL DESIGN (Trace 124)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 165.08 kg\n Factor of Safety: 0.70\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.07682404782565, + "fos_buckling": 0.7034230608872801, + "fos_yielding": 3.9868785652261356, + "deflection": 0.017961299964412588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_864": { + "node_id": "node_864", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 170.11 kg\n Factor of Safety: 0.70\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.11408471560537, + "fos_buckling": 0.7034230608872807, + "fos_yielding": 3.991714564779816, + "deflection": 0.017539896465999804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.393)" + }, + "parent_node_id": "node_863", + "improvement_over_parent": null + }, + "node_865": { + "node_id": "node_865", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 170.35 kg\n Factor of Safety: 0.70\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.34819209476942, + "fos_buckling": 0.7034230608872805, + "fos_yielding": 3.9917145647798202, + "deflection": 0.01748507662943555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.185)" + }, + "parent_node_id": "node_864", + "improvement_over_parent": null + }, + "node_866": { + "node_id": "node_866", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0039)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n\nPerformance:\n Mass: 182.76 kg\n Factor of Safety: 1.03\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.76036163443402, + "fos_buckling": 1.0282160747048263, + "fos_yielding": 5.373608110392249, + "deflection": 0.016063423308020245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004638)" + }, + "parent_node_id": "node_865", + "improvement_over_parent": null + }, + "node_867": { + "node_id": "node_867", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n\nPerformance:\n Mass: 203.14 kg\n Factor of Safety: 1.13\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.14347744279812, + "fos_buckling": 1.1283870498276476, + "fos_yielding": 5.975213078727752, + "deflection": 0.014482631347289606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_866", + "improvement_over_parent": null + }, + "node_868": { + "node_id": "node_868", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 245.60 kg\n Factor of Safety: 1.33\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.59673906386152, + "fos_buckling": 1.3281508560382889, + "fos_yielding": 7.230002958188635, + "deflection": 0.012032335111316447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_867", + "improvement_over_parent": null + }, + "node_869": { + "node_id": "node_869", + "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 246.10 kg\n Factor of Safety: 1.51\n Max Deflection: 1.20e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 246.09858524591198, + "fos_buckling": 1.5108921416671939, + "fos_yielding": 7.238001518169865, + "deflection": 0.011995116962057052, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.484)" + }, + "parent_node_id": "node_868", + "improvement_over_parent": null + }, + "node_870": { + "node_id": "node_870", + "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5391563348015, + "fos_buckling": 1.5346705111833476, + "fos_yielding": 7.745201930052981, + "deflection": 0.011483347542427384, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.441)" + }, + "parent_node_id": "node_869", + "improvement_over_parent": null + }, + "node_871": { + "node_id": "node_871", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_870", + "improvement_over_parent": null + }, + "node_872": { + "node_id": "node_872", + "content": "INITIAL DESIGN (Trace 125)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 190.14 kg\n Factor of Safety: 1.26\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.1397939515869, + "fos_buckling": 1.255668616261277, + "fos_yielding": 5.981636809215895, + "deflection": 0.015269474550584347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_873": { + "node_id": "node_873", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 243.84 kg\n Factor of Safety: 1.54\n Max Deflection: 1.20e-02 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 243.83512993797098, + "fos_buckling": 1.5396825237161162, + "fos_yielding": 7.669825402040656, + "deflection": 0.011976374386733333, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_872", + "improvement_over_parent": null + }, + "node_874": { + "node_id": "node_874", + "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.08 kg\n Factor of Safety: 1.58\n Max Deflection: 1.18e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 248.0801202767072, + "fos_buckling": 1.5777876836925357, + "fos_yielding": 7.412231601204003, + "deflection": 0.011782036755981707, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.245)" + }, + "parent_node_id": "node_873", + "improvement_over_parent": null + }, + "node_875": { + "node_id": "node_875", + "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.34 kg\n Factor of Safety: 1.57\n Max Deflection: 1.18e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 248.3443222229863, + "fos_buckling": 1.5737925691655321, + "fos_yielding": 7.449226172823268, + "deflection": 0.011778035521983175, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.658)" + }, + "parent_node_id": "node_874", + "improvement_over_parent": null + }, + "node_876": { + "node_id": "node_876", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.34 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.34238604958568, + "fos_buckling": 1.533830151462993, + "fos_yielding": 7.740935167131693, + "deflection": 0.011492630071600205, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.238)" + }, + "parent_node_id": "node_875", + "improvement_over_parent": null + }, + "node_877": { + "node_id": "node_877", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_876", + "improvement_over_parent": null + }, + "node_878": { + "node_id": "node_878", + "content": "INITIAL DESIGN (Trace 126)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0023)]\n\nPerformance:\n Mass: 121.46 kg\n Factor of Safety: 0.75\n Max Deflection: 2.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.45627915755212, + "fos_buckling": 0.7505234431723847, + "fos_yielding": 2.9763301721778563, + "deflection": 0.023485952437566734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_879": { + "node_id": "node_879", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n Mass: 153.61 kg\n Factor of Safety: 0.94\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.60554195407335, + "fos_buckling": 0.9353378587015728, + "fos_yielding": 3.7728743327261394, + "deflection": 0.018638992076259665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_878", + "improvement_over_parent": null + }, + "node_880": { + "node_id": "node_880", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n\nPerformance:\n Mass: 154.04 kg\n Factor of Safety: 0.89\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.04440610287898, + "fos_buckling": 0.8942609821712209, + "fos_yielding": 3.903285714437387, + "deflection": 0.01860371718244447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001285)" + }, + "parent_node_id": "node_879", + "improvement_over_parent": null + }, + "node_881": { + "node_id": "node_881", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 199.40 kg\n Factor of Safety: 1.12\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.40135629326122, + "fos_buckling": 1.124514798768514, + "fos_yielding": 5.071121774867388, + "deflection": 0.014446463332317241, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_880", + "improvement_over_parent": null + }, + "node_882": { + "node_id": "node_882", + "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0023)]\n\nPerformance:\n Mass: 199.59 kg\n Factor of Safety: 1.12\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.5856792400767, + "fos_buckling": 1.1202356909488531, + "fos_yielding": 5.081149259591094, + "deflection": 0.014445241462843606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.359)" + }, + "parent_node_id": "node_881", + "improvement_over_parent": null + }, + "node_883": { + "node_id": "node_883", + "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0023)]\n\nPerformance:\n Mass: 200.01 kg\n Factor of Safety: 1.12\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.01244638919897, + "fos_buckling": 1.117945840894244, + "fos_yielding": 6.276864062883104, + "deflection": 0.014335389266317493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.282)" + }, + "parent_node_id": "node_882", + "improvement_over_parent": null + }, + "node_884": { + "node_id": "node_884", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n\nPerformance:\n Mass: 247.99 kg\n Factor of Safety: 1.34\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.9914127044005, + "fos_buckling": 1.3438876188051314, + "fos_yielding": 7.784237101148759, + "deflection": 0.011626597401331632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_883", + "improvement_over_parent": null + }, + "node_885": { + "node_id": "node_885", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_884", + "improvement_over_parent": null + }, + "node_886": { + "node_id": "node_886", + "content": "INITIAL DESIGN (Trace 127)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 171.76 kg\n Factor of Safety: 0.34\n Max Deflection: 4.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.76062711266312, + "fos_buckling": 0.34303185375770845, + "fos_yielding": 2.9080384353643463, + "deflection": 0.04045005057288719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_887": { + "node_id": "node_887", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 174.96 kg\n Factor of Safety: 0.34\n Max Deflection: 4.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.96185546282817, + "fos_buckling": 0.3429230588955479, + "fos_yielding": 2.9080384353643423, + "deflection": 0.04014527867708663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.218)" + }, + "parent_node_id": "node_886", + "improvement_over_parent": null + }, + "node_888": { + "node_id": "node_888", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n Mass: 177.04 kg\n Factor of Safety: 0.34\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.040772540751, + "fos_buckling": 0.3427818564330323, + "fos_yielding": 4.409886805746809, + "deflection": 0.018295456177003504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003259)" + }, + "parent_node_id": "node_887", + "improvement_over_parent": null + }, + "node_889": { + "node_id": "node_889", + "content": "MODIFICATION: Increase 12 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0081)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n Mass: 183.97 kg\n Factor of Safety: 0.32\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.9703480223585, + "fos_buckling": 0.3178753184671283, + "fos_yielding": 4.410835248119413, + "deflection": 0.018179735038022404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.536)" + }, + "parent_node_id": "node_888", + "improvement_over_parent": null + }, + "node_890": { + "node_id": "node_890", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0081)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n Mass: 199.36 kg\n Factor of Safety: 1.03\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.35864322084393, + "fos_buckling": 1.0282493798822043, + "fos_yielding": 6.697834413880122, + "deflection": 0.014907549148822887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005444)" + }, + "parent_node_id": "node_889", + "improvement_over_parent": null + }, + "node_891": { + "node_id": "node_891", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0081)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n Mass: 203.57 kg\n Factor of Safety: 1.12\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.57197104287923, + "fos_buckling": 1.1165000351294783, + "fos_yielding": 7.0821133799550156, + "deflection": 0.014370733022984491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.321)" + }, + "parent_node_id": "node_890", + "improvement_over_parent": null + }, + "node_892": { + "node_id": "node_892", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0101)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 249.24 kg\n Factor of Safety: 1.34\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.2361364745734, + "fos_buckling": 1.337610211842556, + "fos_yielding": 8.664336118840003, + "deflection": 0.01178632905024621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_891", + "improvement_over_parent": null + }, + "node_893": { + "node_id": "node_893", + "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0101)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 255.25 kg\n Factor of Safety: 1.43\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.24749888677428, + "fos_buckling": 1.433678965737123, + "fos_yielding": 8.10788208356865, + "deflection": 0.01148539091530656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.497)" + }, + "parent_node_id": "node_892", + "improvement_over_parent": null + }, + "node_894": { + "node_id": "node_894", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_893", + "improvement_over_parent": null + }, + "node_895": { + "node_id": "node_895", + "content": "INITIAL DESIGN (Trace 128)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 188.49 kg\n Factor of Safety: 0.40\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.49064432611306, + "fos_buckling": 0.397637164611513, + "fos_yielding": 4.576658349903043, + "deflection": 0.01606739577087457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_896": { + "node_id": "node_896", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 193.20 kg\n Factor of Safety: 0.40\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.19727385997328, + "fos_buckling": 0.3984498746458808, + "fos_yielding": 4.578599892146575, + "deflection": 0.015811281719047162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.289)" + }, + "parent_node_id": "node_895", + "improvement_over_parent": null + }, + "node_897": { + "node_id": "node_897", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 226.70 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.7042133733633, + "fos_buckling": 0.4545019387837413, + "fos_yielding": 5.37253039815734, + "deflection": 0.013521777847265779, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_896", + "improvement_over_parent": null + }, + "node_898": { + "node_id": "node_898", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 245.55 kg\n Factor of Safety: 1.42\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.5522613886755, + "fos_buckling": 1.4187533153288994, + "fos_yielding": 7.700090785873342, + "deflection": 0.011660531693482665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_897", + "improvement_over_parent": null + }, + "node_899": { + "node_id": "node_899", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 249.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 249.36252788643816, + "fos_buckling": 1.5343089751760732, + "fos_yielding": 7.725371169759665, + "deflection": 0.011562043908144607, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.383)" + }, + "parent_node_id": "node_898", + "improvement_over_parent": null + }, + "node_900": { + "node_id": "node_900", + "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0083)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 253.16 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.1644391218831, + "fos_buckling": 1.5338725639626858, + "fos_yielding": 7.708394719518906, + "deflection": 0.011478418903302291, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.230)" + }, + "parent_node_id": "node_899", + "improvement_over_parent": null + }, + "node_901": { + "node_id": "node_901", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_900", + "improvement_over_parent": null + }, + "node_902": { + "node_id": "node_902", + "content": "INITIAL DESIGN (Trace 129)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 178.02 kg\n Factor of Safety: 0.62\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.01807562760922, + "fos_buckling": 0.6238780385291036, + "fos_yielding": 3.3374835226747965, + "deflection": 0.021281065931435278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_903": { + "node_id": "node_903", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 218.26 kg\n Factor of Safety: 0.74\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.25839976788137, + "fos_buckling": 0.7428327303318306, + "fos_yielding": 4.089084657192674, + "deflection": 0.017420842846394117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_902", + "improvement_over_parent": null + }, + "node_904": { + "node_id": "node_904", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.95 kg\n Factor of Safety: 0.81\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.94797628914642, + "fos_buckling": 0.8090575626281784, + "fos_yielding": 4.530974345450974, + "deflection": 0.015748971726491038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_903", + "improvement_over_parent": null + }, + "node_905": { + "node_id": "node_905", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 244.49 kg\n Factor of Safety: 1.42\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.49396845020857, + "fos_buckling": 1.4207023718867955, + "fos_yielding": 8.384924473868189, + "deflection": 0.011865735444270891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_904", + "improvement_over_parent": null + }, + "node_906": { + "node_id": "node_906", + "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0101)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.84 kg\n Factor of Safety: 1.42\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.84343670311773, + "fos_buckling": 1.4170171643146694, + "fos_yielding": 8.0745922893009, + "deflection": 0.011760505510607915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.585)" + }, + "parent_node_id": "node_905", + "improvement_over_parent": null + }, + "node_907": { + "node_id": "node_907", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_906", + "improvement_over_parent": null + }, + "node_908": { + "node_id": "node_908", + "content": "INITIAL DESIGN (Trace 130)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0032)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 132.22 kg\n Factor of Safety: 0.45\n Max Deflection: 3.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.22094898756777, + "fos_buckling": 0.45098320762486743, + "fos_yielding": 2.419584215677041, + "deflection": 0.03358131530483901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_909": { + "node_id": "node_909", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 169.80 kg\n Factor of Safety: 0.56\n Max Deflection: 2.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.79748616227695, + "fos_buckling": 0.5595806794582814, + "fos_yielding": 3.090403537642739, + "deflection": 0.0262236542113695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_908", + "improvement_over_parent": null + }, + "node_910": { + "node_id": "node_910", + "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 174.95 kg\n Factor of Safety: 0.56\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.94614635202095, + "fos_buckling": 0.5593002276710639, + "fos_yielding": 3.0865512876095127, + "deflection": 0.023739181871305633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.416)" + }, + "parent_node_id": "node_909", + "improvement_over_parent": null + }, + "node_911": { + "node_id": "node_911", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 196.41 kg\n Factor of Safety: 1.16\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.41067810923772, + "fos_buckling": 1.1567465419578253, + "fos_yielding": 6.288068102163593, + "deflection": 0.014852615395136973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006313)" + }, + "parent_node_id": "node_910", + "improvement_over_parent": null + }, + "node_912": { + "node_id": "node_912", + "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 199.61 kg\n Factor of Safety: 1.27\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.60994377079862, + "fos_buckling": 1.2658193360668561, + "fos_yielding": 6.10273333019702, + "deflection": 0.014434493577703754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.206)" + }, + "parent_node_id": "node_911", + "improvement_over_parent": null + }, + "node_913": { + "node_id": "node_913", + "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 199.78 kg\n Factor of Safety: 1.27\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.7762359874446, + "fos_buckling": 1.2660363377684194, + "fos_yielding": 6.1254348449005835, + "deflection": 0.014430866186476926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.456)" + }, + "parent_node_id": "node_912", + "improvement_over_parent": null + }, + "node_914": { + "node_id": "node_914", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.54819241476852, + "fos_buckling": 1.534482985043648, + "fos_yielding": 7.748144897164965, + "deflection": 0.011484248550160399, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_913", + "improvement_over_parent": null + }, + "node_915": { + "node_id": "node_915", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_914", + "improvement_over_parent": null + }, + "node_916": { + "node_id": "node_916", + "content": "INITIAL DESIGN (Trace 131)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 113.70 kg\n Factor of Safety: 0.12\n Max Deflection: 7.66e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.69998566421174, + "fos_buckling": 0.121416378932645, + "fos_yielding": 0.8474577543759945, + "deflection": 76637763231176.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_917": { + "node_id": "node_917", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n\nPerformance:\n Mass: 115.12 kg\n Factor of Safety: 0.46\n Max Deflection: 1.36e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.12234023074907, + "fos_buckling": 0.4598528122873872, + "fos_yielding": 3.3898310175039783, + "deflection": 13599712751960.51, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002178)" + }, + "parent_node_id": "node_916", + "improvement_over_parent": null + }, + "node_918": { + "node_id": "node_918", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 125.89 kg\n Factor of Safety: 0.41\n Max Deflection: 3.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.88675990635849, + "fos_buckling": 0.4128227207884748, + "fos_yielding": 2.19266741081232, + "deflection": 0.032875284542488954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003823)" + }, + "parent_node_id": "node_917", + "improvement_over_parent": null + }, + "node_919": { + "node_id": "node_919", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 156.81 kg\n Factor of Safety: 0.50\n Max Deflection: 2.65e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.80582935023295, + "fos_buckling": 0.5008538816098569, + "fos_yielding": 2.7202506705373333, + "deflection": 0.026482668620403802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_918", + "improvement_over_parent": null + }, + "node_920": { + "node_id": "node_920", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 176.69 kg\n Factor of Safety: 0.55\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.68529830099814, + "fos_buckling": 0.5547202065458327, + "fos_yielding": 3.057230975378949, + "deflection": 0.023554226839777093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_919", + "improvement_over_parent": null + }, + "node_921": { + "node_id": "node_921", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 225.29 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.2945949538516, + "fos_buckling": 0.6775129452516165, + "fos_yielding": 3.8739570293030194, + "deflection": 0.01857040459345029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_920", + "improvement_over_parent": null + }, + "node_922": { + "node_id": "node_922", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.43311852223405, + "fos_buckling": 1.5344773772594988, + "fos_yielding": 7.742670812633919, + "deflection": 0.011488696278812074, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_921", + "improvement_over_parent": null + }, + "node_923": { + "node_id": "node_923", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_922", + "improvement_over_parent": null + }, + "node_924": { + "node_id": "node_924", + "content": "INITIAL DESIGN (Trace 132)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 197.95 kg\n Factor of Safety: 0.35\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.95243927945984, + "fos_buckling": 0.3460776603628675, + "fos_yielding": 5.141115600839848, + "deflection": 0.016904506895729844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_925": { + "node_id": "node_925", + "content": "MODIFICATION: Increase 12 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 202.52 kg\n Factor of Safety: 0.31\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.5187865580571, + "fos_buckling": 0.30933928789844184, + "fos_yielding": 4.5953530698857135, + "deflection": 0.01717623462127206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.479)" + }, + "parent_node_id": "node_924", + "improvement_over_parent": null + }, + "node_926": { + "node_id": "node_926", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 204.96 kg\n Factor of Safety: 0.31\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.96134117812232, + "fos_buckling": 0.3089022369906807, + "fos_yielding": 4.588860512007531, + "deflection": 0.01641412686322517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.247)" + }, + "parent_node_id": "node_925", + "improvement_over_parent": null + }, + "node_927": { + "node_id": "node_927", + "content": "MODIFICATION: Increase 14 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n Mass: 208.61 kg\n Factor of Safety: 0.31\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.61186590074732, + "fos_buckling": 0.3090287084239566, + "fos_yielding": 4.590739293371209, + "deflection": 0.015288362490088796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.323)" + }, + "parent_node_id": "node_926", + "improvement_over_parent": null + }, + "node_928": { + "node_id": "node_928", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 233.30 kg\n Factor of Safety: 0.34\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.2965738049834, + "fos_buckling": 0.34072392167028487, + "fos_yielding": 5.125408363244552, + "deflection": 0.013724849032381577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_927", + "improvement_over_parent": null + }, + "node_929": { + "node_id": "node_929", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.91 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 251.91209986135073, + "fos_buckling": 1.522439312273343, + "fos_yielding": 7.772311988205263, + "deflection": 0.011526753390437067, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_928", + "improvement_over_parent": null + }, + "node_930": { + "node_id": "node_930", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.27 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.2740412901769, + "fos_buckling": 1.5344445043240948, + "fos_yielding": 7.714025221163683, + "deflection": 0.011488674388164127, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.225)" + }, + "parent_node_id": "node_929", + "improvement_over_parent": null + }, + "node_931": { + "node_id": "node_931", + "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.50132040401348, + "fos_buckling": 1.5347295588638277, + "fos_yielding": 7.74595181475516, + "deflection": 0.01148555774869667, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.522)" + }, + "parent_node_id": "node_930", + "improvement_over_parent": null + }, + "node_932": { + "node_id": "node_932", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_931", + "improvement_over_parent": null + }, + "node_933": { + "node_id": "node_933", + "content": "INITIAL DESIGN (Trace 133)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0010)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n Mass: 187.31 kg\n Factor of Safety: 0.87\n Max Deflection: 1.51e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.30708741805572, + "fos_buckling": 0.8668879514150896, + "fos_yielding": 4.049546581115857, + "deflection": 15092006129688.64, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_934": { + "node_id": "node_934", + "content": "MODIFICATION: Increase 6 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n Mass: 187.62 kg\n Factor of Safety: 1.57\n Max Deflection: 1.52e+13 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 187.6216068374028, + "fos_buckling": 1.5675007621039618, + "fos_yielding": 3.389831017503978, + "deflection": 15239813524430.336, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.524)" + }, + "parent_node_id": "node_933", + "improvement_over_parent": null + }, + "node_935": { + "node_id": "node_935", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 208.51 kg\n Factor of Safety: 1.19\n Max Deflection: 6.46e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.51159002777905, + "fos_buckling": 1.1884228054771895, + "fos_yielding": 5.734308628325356, + "deflection": 6456854537675.828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_934", + "improvement_over_parent": null + }, + "node_936": { + "node_id": "node_936", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 227.13 kg\n Factor of Safety: 0.85\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.12711608414637, + "fos_buckling": 0.8456450594636934, + "fos_yielding": 4.975905277764818, + "deflection": 0.013905281615847335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_935", + "improvement_over_parent": null + }, + "node_937": { + "node_id": "node_937", + "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 227.60 kg\n Factor of Safety: 0.85\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.6002095470819, + "fos_buckling": 0.8456450594636926, + "fos_yielding": 5.787195354823431, + "deflection": 0.013797089433106268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.481)" + }, + "parent_node_id": "node_936", + "improvement_over_parent": null + }, + "node_938": { + "node_id": "node_938", + "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 228.21 kg\n Factor of Safety: 0.85\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.20837038033685, + "fos_buckling": 0.8456450594636926, + "fos_yielding": 5.778618758660956, + "deflection": 0.013724687496253777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.439)" + }, + "parent_node_id": "node_937", + "improvement_over_parent": null + }, + "node_939": { + "node_id": "node_939", + "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 234.56 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.56384152944048, + "fos_buckling": 0.8441168138886455, + "fos_yielding": 5.042909437157905, + "deflection": 0.013149476416409237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.353)" + }, + "parent_node_id": "node_938", + "improvement_over_parent": null + }, + "node_940": { + "node_id": "node_940", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3553172178449, + "fos_buckling": 1.5339728036437779, + "fos_yielding": 7.739936048539824, + "deflection": 0.011492990341134992, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_939", + "improvement_over_parent": null + }, + "node_941": { + "node_id": "node_941", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_940", + "improvement_over_parent": null + }, + "node_942": { + "node_id": "node_942", + "content": "INITIAL DESIGN (Trace 134)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 179.78 kg\n Factor of Safety: 0.54\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.7808863785236, + "fos_buckling": 0.5447569746609697, + "fos_yielding": 2.1630803490592707, + "deflection": 0.018275363203685124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_943": { + "node_id": "node_943", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n\nPerformance:\n Mass: 189.22 kg\n Factor of Safety: 0.55\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.2160261329021, + "fos_buckling": 0.545264863383462, + "fos_yielding": 4.312781071652674, + "deflection": 0.01598051961202993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003861)" + }, + "parent_node_id": "node_942", + "improvement_over_parent": null + }, + "node_944": { + "node_id": "node_944", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n Mass: 226.21 kg\n Factor of Safety: 0.64\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.20659947094904, + "fos_buckling": 0.6426000502017696, + "fos_yielding": 5.1475257715914635, + "deflection": 0.01340733169437402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_943", + "improvement_over_parent": null + }, + "node_945": { + "node_id": "node_945", + "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0049)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n Mass: 226.82 kg\n Factor of Safety: 0.64\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.82401202170215, + "fos_buckling": 0.6426000502017698, + "fos_yielding": 5.147525771591471, + "deflection": 0.013362512744087845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.330)" + }, + "parent_node_id": "node_944", + "improvement_over_parent": null + }, + "node_946": { + "node_id": "node_946", + "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0049)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0101)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n Mass: 234.96 kg\n Factor of Safety: 0.64\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.95525086290158, + "fos_buckling": 0.6431165103533285, + "fos_yielding": 5.5336912394254085, + "deflection": 0.013229441480664196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.531)" + }, + "parent_node_id": "node_945", + "improvement_over_parent": null + }, + "node_947": { + "node_id": "node_947", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0049)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0101)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 251.63 kg\n Factor of Safety: 1.27\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.62553466915864, + "fos_buckling": 1.2665048256077434, + "fos_yielding": 7.324436817015215, + "deflection": 0.01163880785436741, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_946", + "improvement_over_parent": null + }, + "node_948": { + "node_id": "node_948", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_947", + "improvement_over_parent": null + }, + "node_949": { + "node_id": "node_949", + "content": "INITIAL DESIGN (Trace 135)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 145.97 kg\n Factor of Safety: 0.57\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.97423928549202, + "fos_buckling": 0.5736251080137132, + "fos_yielding": 2.1382287766502888, + "deflection": 0.021155782762040387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_950": { + "node_id": "node_950", + "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 146.11 kg\n Factor of Safety: 0.57\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.10931610843755, + "fos_buckling": 0.5735952347237119, + "fos_yielding": 2.9202997177264263, + "deflection": 0.02098179359893575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.466)" + }, + "parent_node_id": "node_949", + "improvement_over_parent": null + }, + "node_951": { + "node_id": "node_951", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 180.52 kg\n Factor of Safety: 0.69\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.52077645825818, + "fos_buckling": 0.6865128469078169, + "fos_yielding": 3.589962642304509, + "deflection": 0.017055825490082503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_950", + "improvement_over_parent": null + }, + "node_952": { + "node_id": "node_952", + "content": "MODIFICATION: Increase 11 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 183.86 kg\n Factor of Safety: 0.69\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.85863171973045, + "fos_buckling": 0.6858550991475438, + "fos_yielding": 3.905016156194139, + "deflection": 0.016888913288281824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.374)" + }, + "parent_node_id": "node_951", + "improvement_over_parent": null + }, + "node_953": { + "node_id": "node_953", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 203.75 kg\n Factor of Safety: 0.75\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.75318244053614, + "fos_buckling": 0.7462776570113345, + "fos_yielding": 4.312197635029795, + "deflection": 0.015277842629788627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_952", + "improvement_over_parent": null + }, + "node_954": { + "node_id": "node_954", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n\nPerformance:\n Mass: 216.37 kg\n Factor of Safety: 1.35\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.36909730653073, + "fos_buckling": 1.353764829453562, + "fos_yielding": 6.634029619727842, + "deflection": 0.013348771051327332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005267)" + }, + "parent_node_id": "node_953", + "improvement_over_parent": null + }, + "node_955": { + "node_id": "node_955", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4159178733659, + "fos_buckling": 1.534283385205356, + "fos_yielding": 7.742443161987062, + "deflection": 0.01148951644587106, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_954", + "improvement_over_parent": null + }, + "node_956": { + "node_id": "node_956", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_955", + "improvement_over_parent": null + }, + "node_957": { + "node_id": "node_957", + "content": "INITIAL DESIGN (Trace 136)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 202.62 kg\n Factor of Safety: 0.35\n Max Deflection: 5.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.61740869949313, + "fos_buckling": 0.346357921294645, + "fos_yielding": 2.2727330465074087, + "deflection": 0.05446626965227637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_958": { + "node_id": "node_958", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 203.00 kg\n Factor of Safety: 0.39\n Max Deflection: 5.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.0009138069024, + "fos_buckling": 0.39264536365652797, + "fos_yielding": 2.9662437616571857, + "deflection": 0.05355814652559805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.335)" + }, + "parent_node_id": "node_957", + "improvement_over_parent": null + }, + "node_959": { + "node_id": "node_959", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n\nPerformance:\n Mass: 217.91 kg\n Factor of Safety: 0.39\n Max Deflection: 5.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.91002740056692, + "fos_buckling": 0.3920838043772958, + "fos_yielding": 2.9620222037865105, + "deflection": 0.051706452013555323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004669)" + }, + "parent_node_id": "node_958", + "improvement_over_parent": null + }, + "node_960": { + "node_id": "node_960", + "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n\nPerformance:\n Mass: 218.27 kg\n Factor of Safety: 0.39\n Max Deflection: 5.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.27197309609252, + "fos_buckling": 0.39208380437729456, + "fos_yielding": 2.9620222037865025, + "deflection": 0.051686679553908474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.225)" + }, + "parent_node_id": "node_959", + "improvement_over_parent": null + }, + "node_961": { + "node_id": "node_961", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 243.39 kg\n Factor of Safety: 1.41\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.39411474793937, + "fos_buckling": 1.4128929255506666, + "fos_yielding": 8.056159248081334, + "deflection": 0.011921685175012306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_960", + "improvement_over_parent": null + }, + "node_962": { + "node_id": "node_962", + "content": "MODIFICATION: Increase 10 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0110)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 253.30 kg\n Factor of Safety: 1.41\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.29853132919484, + "fos_buckling": 1.4119438909612547, + "fos_yielding": 8.207509861520675, + "deflection": 0.011794009982102657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.616)" + }, + "parent_node_id": "node_961", + "improvement_over_parent": null + }, + "node_963": { + "node_id": "node_963", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0110)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 254.00 kg\n Factor of Safety: 1.42\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.00285217611588, + "fos_buckling": 1.41559850794064, + "fos_yielding": 8.827804519658613, + "deflection": 0.011720620913126652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_962", + "improvement_over_parent": null + }, + "node_964": { + "node_id": "node_964", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_963", + "improvement_over_parent": null + }, + "node_965": { + "node_id": "node_965", + "content": "INITIAL DESIGN (Trace 137)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 169.84 kg\n Factor of Safety: 0.54\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.84426834152674, + "fos_buckling": 0.5427756891180807, + "fos_yielding": 3.7250804189469022, + "deflection": 0.01918042420672259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_966": { + "node_id": "node_966", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 209.02 kg\n Factor of Safety: 0.65\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.0195026518014, + "fos_buckling": 0.649645302397206, + "fos_yielding": 4.55017139443054, + "deflection": 0.015664204782342983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_965", + "improvement_over_parent": null + }, + "node_967": { + "node_id": "node_967", + "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 211.96 kg\n Factor of Safety: 0.65\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.95851749032735, + "fos_buckling": 0.6492818363972944, + "fos_yielding": 4.544775083459839, + "deflection": 0.014911574277315438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.290)" + }, + "parent_node_id": "node_966", + "improvement_over_parent": null + }, + "node_968": { + "node_id": "node_968", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n\nPerformance:\n Mass: 225.29 kg\n Factor of Safety: 1.29\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.2859150849839, + "fos_buckling": 1.2941790640461972, + "fos_yielding": 7.028598567110406, + "deflection": 0.01276615190233838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005590)" + }, + "parent_node_id": "node_967", + "improvement_over_parent": null + }, + "node_969": { + "node_id": "node_969", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 248.89 kg\n Factor of Safety: 1.41\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.8915056875686, + "fos_buckling": 1.4062081392613046, + "fos_yielding": 7.766052126840941, + "deflection": 0.011587180480994124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_968", + "improvement_over_parent": null + }, + "node_970": { + "node_id": "node_970", + "content": "MODIFICATION: Increase 15 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0078)]\n\nPerformance:\n Mass: 252.27 kg\n Factor of Safety: 1.46\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.26818532762618, + "fos_buckling": 1.4597260148673024, + "fos_yielding": 7.782965931213686, + "deflection": 0.011516393703528848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.259)" + }, + "parent_node_id": "node_969", + "improvement_over_parent": null + }, + "node_971": { + "node_id": "node_971", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_970", + "improvement_over_parent": null + }, + "node_972": { + "node_id": "node_972", + "content": "INITIAL DESIGN (Trace 138)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 184.39 kg\n Factor of Safety: 0.58\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.38930162089258, + "fos_buckling": 0.5760866738084751, + "fos_yielding": 2.650049173156627, + "deflection": 0.022927790950145795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_973": { + "node_id": "node_973", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 224.86 kg\n Factor of Safety: 0.68\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.8648802251404, + "fos_buckling": 0.6776670332163511, + "fos_yielding": 3.239039933076757, + "deflection": 0.01887730877647077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_972", + "improvement_over_parent": null + }, + "node_974": { + "node_id": "node_974", + "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 225.36 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.35708447723383, + "fos_buckling": 0.6776024348777383, + "fos_yielding": 3.875025066323096, + "deflection": 0.01856535405924887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.263)" + }, + "parent_node_id": "node_973", + "improvement_over_parent": null + }, + "node_975": { + "node_id": "node_975", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49560804561628, + "fos_buckling": 1.5345595377524592, + "fos_yielding": 7.746951511949699, + "deflection": 0.011485935543703972, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_974", + "improvement_over_parent": null + }, + "node_976": { + "node_id": "node_976", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_975", + "improvement_over_parent": null + }, + "node_977": { + "node_id": "node_977", + "content": "INITIAL DESIGN (Trace 139)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 222.39 kg\n Factor of Safety: 1.13\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.3925588108942, + "fos_buckling": 1.1346164892491122, + "fos_yielding": 6.582715053591737, + "deflection": 0.013363209501282163, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_978": { + "node_id": "node_978", + "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 232.21 kg\n Factor of Safety: 1.16\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.20782385357296, + "fos_buckling": 1.1602036246254435, + "fos_yielding": 7.129895596010895, + "deflection": 0.012628308000489941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.621)" + }, + "parent_node_id": "node_977", + "improvement_over_parent": null + }, + "node_979": { + "node_id": "node_979", + "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 239.05 kg\n Factor of Safety: 1.16\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.0462510456558, + "fos_buckling": 1.163303167730374, + "fos_yielding": 7.668582128019096, + "deflection": 0.012018846532453177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.481)" + }, + "parent_node_id": "node_978", + "improvement_over_parent": null + }, + "node_980": { + "node_id": "node_980", + "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 243.45 kg\n Factor of Safety: 1.16\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.44849188392215, + "fos_buckling": 1.1607430806446764, + "fos_yielding": 7.363242044891574, + "deflection": 0.011818872144078259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.325)" + }, + "parent_node_id": "node_979", + "improvement_over_parent": null + }, + "node_981": { + "node_id": "node_981", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 244.15 kg\n Factor of Safety: 1.27\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.15281273084318, + "fos_buckling": 1.2676627208298508, + "fos_yielding": 7.733294418277452, + "deflection": 0.011774160979121632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_980", + "improvement_over_parent": null + }, + "node_982": { + "node_id": "node_982", + "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 247.92 kg\n Factor of Safety: 1.36\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.91758715762978, + "fos_buckling": 1.3575703308181752, + "fos_yielding": 7.706194867011877, + "deflection": 0.011633372650635583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.355)" + }, + "parent_node_id": "node_981", + "improvement_over_parent": null + }, + "node_983": { + "node_id": "node_983", + "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0114)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.36\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.37014618512165, + "fos_buckling": 1.3572579972840904, + "fos_yielding": 8.164001091267417, + "deflection": 0.011215226440505235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.399)" + }, + "parent_node_id": "node_982", + "improvement_over_parent": null + }, + "node_984": { + "node_id": "node_984", + "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0114)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 261.48 kg\n Factor of Safety: 1.39\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.4845198128185, + "fos_buckling": 1.3886464444113347, + "fos_yielding": 8.197073875765723, + "deflection": 0.011100240633960581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.425)" + }, + "parent_node_id": "node_983", + "improvement_over_parent": null + }, + "node_985": { + "node_id": "node_985", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_984", + "improvement_over_parent": null + }, + "node_986": { + "node_id": "node_986", + "content": "INITIAL DESIGN (Trace 140)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 189.50 kg\n Factor of Safety: 1.11\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.5004418415352, + "fos_buckling": 1.1119804039239356, + "fos_yielding": 5.913728636296719, + "deflection": 0.015112116057602052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_987": { + "node_id": "node_987", + "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 192.35 kg\n Factor of Safety: 1.23\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.35142748431548, + "fos_buckling": 1.2264453503793096, + "fos_yielding": 5.895939942354137, + "deflection": 0.01497464314318764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.269)" + }, + "parent_node_id": "node_986", + "improvement_over_parent": null + }, + "node_988": { + "node_id": "node_988", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 220.94 kg\n Factor of Safety: 1.38\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.94151204330626, + "fos_buckling": 1.3773188456881416, + "fos_yielding": 6.774496146657931, + "deflection": 0.013079533250475084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_987", + "improvement_over_parent": null + }, + "node_989": { + "node_id": "node_989", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.51372978374138, + "fos_buckling": 1.5347128791964038, + "fos_yielding": 7.745359852052058, + "deflection": 0.011485363731404795, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_988", + "improvement_over_parent": null + }, + "node_990": { + "node_id": "node_990", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_989", + "improvement_over_parent": null + }, + "node_991": { + "node_id": "node_991", + "content": "INITIAL DESIGN (Trace 141)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0023)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 160.10 kg\n Factor of Safety: 0.52\n Max Deflection: 2.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.09950762778448, + "fos_buckling": 0.5236007225445884, + "fos_yielding": 2.8613791149144086, + "deflection": 0.02551454397447959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_992": { + "node_id": "node_992", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0023)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n\nPerformance:\n Mass: 172.98 kg\n Factor of Safety: 0.85\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.98211396310026, + "fos_buckling": 0.8494763070797389, + "fos_yielding": 5.116844639506251, + "deflection": 0.016909626881833638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.003683)" + }, + "parent_node_id": "node_991", + "improvement_over_parent": null + }, + "node_993": { + "node_id": "node_993", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n Mass: 207.76 kg\n Factor of Safety: 1.00\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.75889015737917, + "fos_buckling": 1.0042084357324916, + "fos_yielding": 6.150571686922255, + "deflection": 0.014129951897020918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_992", + "improvement_over_parent": null + }, + "node_994": { + "node_id": "node_994", + "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n Mass: 210.50 kg\n Factor of Safety: 1.06\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.50411165789782, + "fos_buckling": 1.0618294845483531, + "fos_yielding": 6.175853290519688, + "deflection": 0.01397202688100343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.414)" + }, + "parent_node_id": "node_993", + "improvement_over_parent": null + }, + "node_995": { + "node_id": "node_995", + "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n Mass: 213.69 kg\n Factor of Safety: 1.06\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.6879727985503, + "fos_buckling": 1.0618524149911301, + "fos_yielding": 6.194712918600186, + "deflection": 0.01385672121452655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.353)" + }, + "parent_node_id": "node_994", + "improvement_over_parent": null + }, + "node_996": { + "node_id": "node_996", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n\nPerformance:\n Mass: 243.14 kg\n Factor of Safety: 1.19\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.13653342319438, + "fos_buckling": 1.1916633425564884, + "fos_yielding": 7.05467805897914, + "deflection": 0.012214450270948512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_995", + "improvement_over_parent": null + }, + "node_997": { + "node_id": "node_997", + "content": "MODIFICATION: Increase 10 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0119)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n\nPerformance:\n Mass: 254.70 kg\n Factor of Safety: 1.28\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.70348581601942, + "fos_buckling": 1.2825144048236863, + "fos_yielding": 6.689317711469094, + "deflection": 0.011827299458648882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.580)" + }, + "parent_node_id": "node_996", + "improvement_over_parent": null + }, + "node_998": { + "node_id": "node_998", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_997", + "improvement_over_parent": null + }, + "node_999": { + "node_id": "node_999", + "content": "INITIAL DESIGN (Trace 142)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 188.62 kg\n Factor of Safety: 1.11\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.61946215810818, + "fos_buckling": 1.106524111944258, + "fos_yielding": 4.469140086687147, + "deflection": 0.015323791360114396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1000": { + "node_id": "node_1000", + "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 190.97 kg\n Factor of Safety: 1.08\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.9705309992186, + "fos_buckling": 1.0837200284464452, + "fos_yielding": 4.377036676919453, + "deflection": 0.015252429147056127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.235)" + }, + "parent_node_id": "node_999", + "improvement_over_parent": null + }, + "node_1001": { + "node_id": "node_1001", + "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 197.43 kg\n Factor of Safety: 1.00\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.42544767866227, + "fos_buckling": 1.0023040077090801, + "fos_yielding": 4.048205521729732, + "deflection": 0.01478866653938556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.585)" + }, + "parent_node_id": "node_1000", + "improvement_over_parent": null + }, + "node_1002": { + "node_id": "node_1002", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.40 kg\n Factor of Safety: 1.26\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.39686060294972, + "fos_buckling": 1.2561336352091443, + "fos_yielding": 5.195236339270524, + "deflection": 0.011680408334175423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1001", + "improvement_over_parent": null + }, + "node_1003": { + "node_id": "node_1003", + "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3098537759624, + "fos_buckling": 1.5338509533165627, + "fos_yielding": 7.7429723607910175, + "deflection": 0.011494010228902458, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.613)" + }, + "parent_node_id": "node_1002", + "improvement_over_parent": null + }, + "node_1004": { + "node_id": "node_1004", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1003", + "improvement_over_parent": null + }, + "node_1005": { + "node_id": "node_1005", + "content": "INITIAL DESIGN (Trace 143)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1006": { + "node_id": "node_1006", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 188.17 kg\n Factor of Safety: 0.69\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.167078164616, + "fos_buckling": 0.6885715547284759, + "fos_yielding": 5.0466209564188045, + "deflection": 0.018676975167419996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006020)" + }, + "parent_node_id": "node_1005", + "improvement_over_parent": null + }, + "node_1007": { + "node_id": "node_1007", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n Mass: 208.10 kg\n Factor of Safety: 1.20\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.10201006700015, + "fos_buckling": 1.2027961671247327, + "fos_yielding": 6.145111512857464, + "deflection": 0.014235658405512927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006369)" + }, + "parent_node_id": "node_1006", + "improvement_over_parent": null + }, + "node_1008": { + "node_id": "node_1008", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n Mass: 212.22 kg\n Factor of Safety: 1.20\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.22356056246576, + "fos_buckling": 1.2044199106416325, + "fos_yielding": 6.37154413551701, + "deflection": 0.013711589162163947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.244)" + }, + "parent_node_id": "node_1007", + "improvement_over_parent": null + }, + "node_1009": { + "node_id": "node_1009", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0066)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n Mass: 215.07 kg\n Factor of Safety: 1.20\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.0734373535983, + "fos_buckling": 1.202941580110992, + "fos_yielding": 6.270801894546596, + "deflection": 0.013652639486982957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.220)" + }, + "parent_node_id": "node_1008", + "improvement_over_parent": null + }, + "node_1010": { + "node_id": "node_1010", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0078)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 251.29 kg\n Factor of Safety: 1.37\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.2870409305815, + "fos_buckling": 1.3740847396449414, + "fos_yielding": 7.335994624039503, + "deflection": 0.011729741007902753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1009", + "improvement_over_parent": null + }, + "node_1011": { + "node_id": "node_1011", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1010", + "improvement_over_parent": null + }, + "node_1012": { + "node_id": "node_1012", + "content": "INITIAL DESIGN (Trace 144)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0019)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n Mass: 136.37 kg\n Factor of Safety: 0.88\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.37250698375706, + "fos_buckling": 0.8796273710915664, + "fos_yielding": 4.0405261409232684, + "deflection": 0.02162981673493988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1013": { + "node_id": "node_1013", + "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n Mass: 139.34 kg\n Factor of Safety: 0.87\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.34460744411732, + "fos_buckling": 0.8651518030042433, + "fos_yielding": 4.232919550483505, + "deflection": 0.021226599639015024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.582)" + }, + "parent_node_id": "node_1012", + "improvement_over_parent": null + }, + "node_1014": { + "node_id": "node_1014", + "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n Mass: 140.83 kg\n Factor of Safety: 0.86\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.8276983710577, + "fos_buckling": 0.8602804573517524, + "fos_yielding": 4.225827569383323, + "deflection": 0.021093427182799107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.188)" + }, + "parent_node_id": "node_1013", + "improvement_over_parent": null + }, + "node_1015": { + "node_id": "node_1015", + "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0031)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 143.10 kg\n Factor of Safety: 0.96\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.10229445493295, + "fos_buckling": 0.9554522082762439, + "fos_yielding": 4.213994976163869, + "deflection": 0.020899776758476114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.277)" + }, + "parent_node_id": "node_1014", + "improvement_over_parent": null + }, + "node_1016": { + "node_id": "node_1016", + "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 148.01 kg\n Factor of Safety: 0.98\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.01157271403747, + "fos_buckling": 0.9765707951060796, + "fos_yielding": 4.5346761286958905, + "deflection": 0.019360637962231184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.495)" + }, + "parent_node_id": "node_1015", + "improvement_over_parent": null + }, + "node_1017": { + "node_id": "node_1017", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 176.96 kg\n Factor of Safety: 1.14\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.96422244620308, + "fos_buckling": 1.1418961748384044, + "fos_yielding": 5.423505160135449, + "deflection": 0.01624700389341046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_1016", + "improvement_over_parent": null + }, + "node_1018": { + "node_id": "node_1018", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 222.70 kg\n Factor of Safety: 1.39\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.6972810364328, + "fos_buckling": 1.386277468565833, + "fos_yielding": 6.8286840995510865, + "deflection": 0.012978190062551945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1017", + "improvement_over_parent": null + }, + "node_1019": { + "node_id": "node_1019", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49175763568735, + "fos_buckling": 1.53455607362034, + "fos_yielding": 7.744931809950426, + "deflection": 0.011485622969804545, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_1018", + "improvement_over_parent": null + }, + "node_1020": { + "node_id": "node_1020", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1019", + "improvement_over_parent": null + }, + "node_1021": { + "node_id": "node_1021", + "content": "INITIAL DESIGN (Trace 145)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 221.50 kg\n Factor of Safety: 0.77\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.49934541314255, + "fos_buckling": 0.7686756256871586, + "fos_yielding": 5.720701378920174, + "deflection": 0.016950665877567838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1022": { + "node_id": "node_1022", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 226.63 kg\n Factor of Safety: 0.92\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.62814319691333, + "fos_buckling": 0.9162128285956741, + "fos_yielding": 5.717702138396922, + "deflection": 0.01593398824949752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.256)" + }, + "parent_node_id": "node_1021", + "improvement_over_parent": null + }, + "node_1023": { + "node_id": "node_1023", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 249.91 kg\n Factor of Safety: 0.80\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.91398279901057, + "fos_buckling": 0.8023626544290119, + "fos_yielding": 4.470998340619049, + "deflection": 0.015750289819608132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_1022", + "improvement_over_parent": null + }, + "node_1024": { + "node_id": "node_1024", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4599749600727, + "fos_buckling": 1.5340941132791661, + "fos_yielding": 7.743062057752533, + "deflection": 0.011487729875720599, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_1023", + "improvement_over_parent": null + }, + "node_1025": { + "node_id": "node_1025", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1024", + "improvement_over_parent": null + }, + "node_1026": { + "node_id": "node_1026", + "content": "INITIAL DESIGN (Trace 146)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 124.61 kg\n Factor of Safety: 0.83\n Max Deflection: 2.11e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.60839144506828, + "fos_buckling": 0.8340505615248421, + "fos_yielding": 3.3898310175039783, + "deflection": 21149353877555.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1027": { + "node_id": "node_1027", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n Mass: 143.07 kg\n Factor of Safety: 0.29\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.0679309191725, + "fos_buckling": 0.29227740405945096, + "fos_yielding": 4.3983484636984445, + "deflection": 0.02398027036658652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005374)" + }, + "parent_node_id": "node_1026", + "improvement_over_parent": null + }, + "node_1028": { + "node_id": "node_1028", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 169.95 kg\n Factor of Safety: 0.34\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.9466550539849, + "fos_buckling": 0.339578328274212, + "fos_yielding": 5.223972515255007, + "deflection": 0.020240857715384628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_1027", + "improvement_over_parent": null + }, + "node_1029": { + "node_id": "node_1029", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n\nPerformance:\n Mass: 188.76 kg\n Factor of Safety: 0.34\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.75929241578507, + "fos_buckling": 0.33894707668517926, + "fos_yielding": 4.340568176567354, + "deflection": 0.016503654498042048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005983)" + }, + "parent_node_id": "node_1028", + "improvement_over_parent": null + }, + "node_1030": { + "node_id": "node_1030", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 233.63 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.62935677519494, + "fos_buckling": 0.40521341488770596, + "fos_yielding": 5.375074004534124, + "deflection": 0.013391219857260621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1029", + "improvement_over_parent": null + }, + "node_1031": { + "node_id": "node_1031", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47740479050714, + "fos_buckling": 1.5345575252551817, + "fos_yielding": 7.7446838870780255, + "deflection": 0.011486754727762425, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_1030", + "improvement_over_parent": null + }, + "node_1032": { + "node_id": "node_1032", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1031", + "improvement_over_parent": null + }, + "node_1033": { + "node_id": "node_1033", + "content": "INITIAL DESIGN (Trace 147)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 168.81 kg\n Factor of Safety: 1.01\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.81239137769202, + "fos_buckling": 1.0117955701814239, + "fos_yielding": 4.887788388769062, + "deflection": 0.017299343064042235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1034": { + "node_id": "node_1034", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 217.03 kg\n Factor of Safety: 1.27\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.02591303162274, + "fos_buckling": 1.2677963221564774, + "fos_yielding": 6.291571773508439, + "deflection": 0.0135234223108799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1033", + "improvement_over_parent": null + }, + "node_1035": { + "node_id": "node_1035", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.80 kg\n Factor of Safety: 1.39\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.80134343855875, + "fos_buckling": 1.3935621373702718, + "fos_yielding": 7.01454242735943, + "deflection": 0.012168666029140457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1034", + "improvement_over_parent": null + }, + "node_1036": { + "node_id": "node_1036", + "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 245.40 kg\n Factor of Safety: 1.49\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.39566827585026, + "fos_buckling": 1.4935768104038665, + "fos_yielding": 7.180392120538242, + "deflection": 0.012061991004600448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.259)" + }, + "parent_node_id": "node_1035", + "improvement_over_parent": null + }, + "node_1037": { + "node_id": "node_1037", + "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.40 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.39728553103382, + "fos_buckling": 1.5341091176372144, + "fos_yielding": 7.742232627709258, + "deflection": 0.011489937465996884, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.497)" + }, + "parent_node_id": "node_1036", + "improvement_over_parent": null + }, + "node_1038": { + "node_id": "node_1038", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1037", + "improvement_over_parent": null + }, + "node_1039": { + "node_id": "node_1039", + "content": "INITIAL DESIGN (Trace 148)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 216.94 kg\n Factor of Safety: 1.16\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.94020408329524, + "fos_buckling": 1.1623193110110819, + "fos_yielding": 6.72527822302173, + "deflection": 0.013233270489654725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1040": { + "node_id": "node_1040", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 247.98 kg\n Factor of Safety: 1.30\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.9847349311604, + "fos_buckling": 1.3049895329388927, + "fos_yielding": 7.689519987059175, + "deflection": 0.011618404578329787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1039", + "improvement_over_parent": null + }, + "node_1041": { + "node_id": "node_1041", + "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35989913364762, + "fos_buckling": 1.5345711609726334, + "fos_yielding": 7.728526807830759, + "deflection": 0.011487375731584985, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.464)" + }, + "parent_node_id": "node_1040", + "improvement_over_parent": null + }, + "node_1042": { + "node_id": "node_1042", + "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4961245268707, + "fos_buckling": 1.534719690244642, + "fos_yielding": 7.745443954071833, + "deflection": 0.01148575377742619, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.263)" + }, + "parent_node_id": "node_1041", + "improvement_over_parent": null + }, + "node_1043": { + "node_id": "node_1043", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1042", + "improvement_over_parent": null + }, + "node_1044": { + "node_id": "node_1044", + "content": "INITIAL DESIGN (Trace 149)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0010)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0015)]\n\nPerformance:\n Mass: 135.75 kg\n Factor of Safety: 0.54\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.74734055406327, + "fos_buckling": 0.5436787800419424, + "fos_yielding": 3.3123919712761882, + "deflection": 0.02112364252745959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1045": { + "node_id": "node_1045", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0011)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0018)]\n\nPerformance:\n Mass: 155.79 kg\n Factor of Safety: 0.62\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.79438635739646, + "fos_buckling": 0.6185862831476503, + "fos_yielding": 3.7984400930584683, + "deflection": 0.018447491105727454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_1044", + "improvement_over_parent": null + }, + "node_1046": { + "node_id": "node_1046", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0018)]\n\nPerformance:\n Mass: 155.91 kg\n Factor of Safety: 0.64\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.90549716968013, + "fos_buckling": 0.6434627230369203, + "fos_yielding": 4.448055996129092, + "deflection": 0.018395212254704314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.190)" + }, + "parent_node_id": "node_1045", + "improvement_over_parent": null + }, + "node_1047": { + "node_id": "node_1047", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0022)]\n\nPerformance:\n Mass: 189.39 kg\n Factor of Safety: 0.77\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.3936991442695, + "fos_buckling": 0.7725279225774677, + "fos_yielding": 5.390870650446289, + "deflection": 0.015200427635265447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1046", + "improvement_over_parent": null + }, + "node_1048": { + "node_id": "node_1048", + "content": "MODIFICATION: Increase 9 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0022)]\n\nPerformance:\n Mass: 189.80 kg\n Factor of Safety: 0.79\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.80373099135838, + "fos_buckling": 0.7928522487500029, + "fos_yielding": 6.150558866354204, + "deflection": 0.015123301453215688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.502)" + }, + "parent_node_id": "node_1047", + "improvement_over_parent": null + }, + "node_1049": { + "node_id": "node_1049", + "content": "MODIFICATION: Increase 15 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 193.68 kg\n Factor of Safety: 1.05\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.67743397312591, + "fos_buckling": 1.0492436686869575, + "fos_yielding": 6.101820423120556, + "deflection": 0.014772424553758618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.639)" + }, + "parent_node_id": "node_1048", + "improvement_over_parent": null + }, + "node_1050": { + "node_id": "node_1050", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 246.70 kg\n Factor of Safety: 1.29\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.70363392770716, + "fos_buckling": 1.2947205909586947, + "fos_yielding": 7.773831103922647, + "deflection": 0.011669353222276961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1049", + "improvement_over_parent": null + }, + "node_1051": { + "node_id": "node_1051", + "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.20 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.199890471011, + "fos_buckling": 1.5332139704317629, + "fos_yielding": 7.73582048390849, + "deflection": 0.01149920132131194, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.460)" + }, + "parent_node_id": "node_1050", + "improvement_over_parent": null + }, + "node_1052": { + "node_id": "node_1052", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1051", + "improvement_over_parent": null + }, + "node_1053": { + "node_id": "node_1053", + "content": "INITIAL DESIGN (Trace 150)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 190.20 kg\n Factor of Safety: 0.85\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.20240580346143, + "fos_buckling": 0.8515240603225559, + "fos_yielding": 5.85390355537308, + "deflection": 0.01910358314555664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1054": { + "node_id": "node_1054", + "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 195.85 kg\n Factor of Safety: 0.85\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.84995129630553, + "fos_buckling": 0.8506053865427183, + "fos_yielding": 6.494821892278939, + "deflection": 0.018276287097173032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.634)" + }, + "parent_node_id": "node_1053", + "improvement_over_parent": null + }, + "node_1055": { + "node_id": "node_1055", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 215.12 kg\n Factor of Safety: 0.85\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.11619211721285, + "fos_buckling": 0.8490429538757347, + "fos_yielding": 5.373982367347174, + "deflection": 0.015252231563501863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1054", + "improvement_over_parent": null + }, + "node_1056": { + "node_id": "node_1056", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 233.96 kg\n Factor of Safety: 0.84\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.96424013252505, + "fos_buckling": 0.844490363981361, + "fos_yielding": 4.666624077905801, + "deflection": 0.013480875011652915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_1055", + "improvement_over_parent": null + }, + "node_1057": { + "node_id": "node_1057", + "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0044)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 234.33 kg\n Factor of Safety: 0.84\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.33421593757114, + "fos_buckling": 0.8444903639813593, + "fos_yielding": 4.6644417678988646, + "deflection": 0.013452915090239598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.195)" + }, + "parent_node_id": "node_1056", + "improvement_over_parent": null + }, + "node_1058": { + "node_id": "node_1058", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0044)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 249.06 kg\n Factor of Safety: 1.43\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.05872354622872, + "fos_buckling": 1.4270042483579304, + "fos_yielding": 7.929043862424232, + "deflection": 0.01176375347609264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_1057", + "improvement_over_parent": null + }, + "node_1059": { + "node_id": "node_1059", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1058", + "improvement_over_parent": null + }, + "node_1060": { + "node_id": "node_1060", + "content": "INITIAL DESIGN (Trace 151)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 219.62 kg\n Factor of Safety: 0.44\n Max Deflection: 2.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.62130128074716, + "fos_buckling": 0.44268861036973495, + "fos_yielding": 1.9258211421465083, + "deflection": 0.02425311503717736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1061": { + "node_id": "node_1061", + "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 222.37 kg\n Factor of Safety: 0.44\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.370986392291, + "fos_buckling": 0.44257058898708046, + "fos_yielding": 1.9253120695449462, + "deflection": 0.02409699113902699, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.183)" + }, + "parent_node_id": "node_1060", + "improvement_over_parent": null + }, + "node_1062": { + "node_id": "node_1062", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 247.49 kg\n Factor of Safety: 1.49\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.49312804413785, + "fos_buckling": 1.492322008432292, + "fos_yielding": 7.784802323748849, + "deflection": 0.011659239507874094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_1061", + "improvement_over_parent": null + }, + "node_1063": { + "node_id": "node_1063", + "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46101292910384, + "fos_buckling": 1.5344219589638475, + "fos_yielding": 7.7451967201077325, + "deflection": 0.011487373683114225, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.522)" + }, + "parent_node_id": "node_1062", + "improvement_over_parent": null + }, + "node_1064": { + "node_id": "node_1064", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1063", + "improvement_over_parent": null + }, + "node_1065": { + "node_id": "node_1065", + "content": "INITIAL DESIGN (Trace 152)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n Mass: 170.81 kg\n Factor of Safety: 0.34\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.8121044312113, + "fos_buckling": 0.3425065943466155, + "fos_yielding": 4.693501555214059, + "deflection": 0.020998380766993934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1066": { + "node_id": "node_1066", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 214.69 kg\n Factor of Safety: 0.41\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.68577532293747, + "fos_buckling": 0.4116854214630969, + "fos_yielding": 5.837854317297096, + "deflection": 0.01680079578767616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1065", + "improvement_over_parent": null + }, + "node_1067": { + "node_id": "node_1067", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.30 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.3013013793048, + "fos_buckling": 0.9161129426395258, + "fos_yielding": 6.812255925553805, + "deflection": 0.014731881734678034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_1066", + "improvement_over_parent": null + }, + "node_1068": { + "node_id": "node_1068", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.57 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5675422002121, + "fos_buckling": 1.535002819756451, + "fos_yielding": 7.748379584041763, + "deflection": 0.011482568085746962, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1067", + "improvement_over_parent": null + }, + "node_1069": { + "node_id": "node_1069", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1068", + "improvement_over_parent": null + }, + "node_1070": { + "node_id": "node_1070", + "content": "INITIAL DESIGN (Trace 153)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n\nPerformance:\n Mass: 172.54 kg\n Factor of Safety: 0.36\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.53984340241053, + "fos_buckling": 0.3573163937884512, + "fos_yielding": 4.45075612896084, + "deflection": 0.018256136512461826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1071": { + "node_id": "node_1071", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 193.98 kg\n Factor of Safety: 0.39\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.98026922100826, + "fos_buckling": 0.39349984831706836, + "fos_yielding": 4.978397732067731, + "deflection": 0.016282406918657295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_1070", + "improvement_over_parent": null + }, + "node_1072": { + "node_id": "node_1072", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 229.02 kg\n Factor of Safety: 0.45\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.0161331574685, + "fos_buckling": 0.448896779148275, + "fos_yielding": 5.829083397351272, + "deflection": 0.013852446449062654, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_1071", + "improvement_over_parent": null + }, + "node_1073": { + "node_id": "node_1073", + "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 233.92 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.91756054662292, + "fos_buckling": 0.4460935023122783, + "fos_yielding": 5.8264010660446255, + "deflection": 0.013532304446501095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.242)" + }, + "parent_node_id": "node_1072", + "improvement_over_parent": null + }, + "node_1074": { + "node_id": "node_1074", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.53308660299024, + "fos_buckling": 1.5347454409766317, + "fos_yielding": 7.746357465593666, + "deflection": 0.01148426184135844, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_1073", + "improvement_over_parent": null + }, + "node_1075": { + "node_id": "node_1075", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1074", + "improvement_over_parent": null + }, + "node_1076": { + "node_id": "node_1076", + "content": "INITIAL DESIGN (Trace 154)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1077": { + "node_id": "node_1077", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 229.19 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.18889632966773, + "fos_buckling": 0.9161524298001135, + "fos_yielding": 6.812016400201646, + "deflection": 0.0147329496186236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1076", + "improvement_over_parent": null + }, + "node_1078": { + "node_id": "node_1078", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47473593176497, + "fos_buckling": 1.5345834291354261, + "fos_yielding": 7.744422612795698, + "deflection": 0.011486886429108655, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_1077", + "improvement_over_parent": null + }, + "node_1079": { + "node_id": "node_1079", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1078", + "improvement_over_parent": null + }, + "node_1080": { + "node_id": "node_1080", + "content": "INITIAL DESIGN (Trace 155)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 158.43 kg\n Factor of Safety: 0.67\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.42980895623225, + "fos_buckling": 0.6680835159181904, + "fos_yielding": 3.8628034638170394, + "deflection": 0.019117554146324118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1081": { + "node_id": "node_1081", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 178.26 kg\n Factor of Safety: 0.74\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.26455561634043, + "fos_buckling": 0.7400586985677708, + "fos_yielding": 4.341047001483382, + "deflection": 0.017019391233024015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_1080", + "improvement_over_parent": null + }, + "node_1082": { + "node_id": "node_1082", + "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 182.55 kg\n Factor of Safety: 0.74\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.54751487439083, + "fos_buckling": 0.7397453619253664, + "fos_yielding": 4.339220631032602, + "deflection": 0.016714504691477002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.326)" + }, + "parent_node_id": "node_1081", + "improvement_over_parent": null + }, + "node_1083": { + "node_id": "node_1083", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 186.22 kg\n Factor of Safety: 0.74\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.21839866461198, + "fos_buckling": 0.7397453619253681, + "fos_yielding": 4.334531584920653, + "deflection": 0.015809123140773765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.232)" + }, + "parent_node_id": "node_1082", + "improvement_over_parent": null + }, + "node_1084": { + "node_id": "node_1084", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n Mass: 199.37 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.3733721207633, + "fos_buckling": 1.264214874446655, + "fos_yielding": 6.114002093463364, + "deflection": 0.014457565317689719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004936)" + }, + "parent_node_id": "node_1083", + "improvement_over_parent": null + }, + "node_1085": { + "node_id": "node_1085", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.76 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.76127280489033, + "fos_buckling": 1.5358713401994624, + "fos_yielding": 7.755872828835772, + "deflection": 0.011473453555397332, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1084", + "improvement_over_parent": null + }, + "node_1086": { + "node_id": "node_1086", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1085", + "improvement_over_parent": null + }, + "node_1087": { + "node_id": "node_1087", + "content": "INITIAL DESIGN (Trace 156)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0031)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 143.06 kg\n Factor of Safety: 0.57\n Max Deflection: 2.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.05937909278157, + "fos_buckling": 0.5729453693477393, + "fos_yielding": 2.6332737674698814, + "deflection": 0.02233624441694042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1088": { + "node_id": "node_1088", + "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 148.50 kg\n Factor of Safety: 0.57\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.497946553756, + "fos_buckling": 0.5720450040554197, + "fos_yielding": 3.173886182804598, + "deflection": 0.020818240133031705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.560)" + }, + "parent_node_id": "node_1087", + "improvement_over_parent": null + }, + "node_1089": { + "node_id": "node_1089", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 178.24 kg\n Factor of Safety: 0.67\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.23592384698074, + "fos_buckling": 0.668359326797253, + "fos_yielding": 3.7891788585205153, + "deflection": 0.01740967575015837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_1088", + "improvement_over_parent": null + }, + "node_1090": { + "node_id": "node_1090", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 206.23 kg\n Factor of Safety: 0.75\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.23356070057895, + "fos_buckling": 0.7536870256431972, + "fos_yielding": 4.36249902231393, + "deflection": 0.015098980828591823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1089", + "improvement_over_parent": null + }, + "node_1091": { + "node_id": "node_1091", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 237.77 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.77135244096291, + "fos_buckling": 0.8436921154143672, + "fos_yielding": 5.001494982180989, + "deflection": 0.013147841455483141, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1090", + "improvement_over_parent": null + }, + "node_1092": { + "node_id": "node_1092", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n Mass: 249.09 kg\n Factor of Safety: 1.39\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.0893886347832, + "fos_buckling": 1.3875526381760712, + "fos_yielding": 7.722351834920961, + "deflection": 0.011580449315421673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004686)" + }, + "parent_node_id": "node_1091", + "improvement_over_parent": null + }, + "node_1093": { + "node_id": "node_1093", + "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0049)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n Mass: 249.71 kg\n Factor of Safety: 1.39\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.70696503275286, + "fos_buckling": 1.3874166144056554, + "fos_yielding": 7.657833356722832, + "deflection": 0.011537634810901897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.330)" + }, + "parent_node_id": "node_1092", + "improvement_over_parent": null + }, + "node_1094": { + "node_id": "node_1094", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1093", + "improvement_over_parent": null + }, + "node_1095": { + "node_id": "node_1095", + "content": "INITIAL DESIGN (Trace 157)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 134.78 kg\n Factor of Safety: 0.40\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.7825198435889, + "fos_buckling": 0.40462946346059053, + "fos_yielding": 1.6949155087519892, + "deflection": 11828042540759.717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1096": { + "node_id": "node_1096", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n\nPerformance:\n Mass: 154.21 kg\n Factor of Safety: 0.64\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.20924967051621, + "fos_buckling": 0.6439905438366217, + "fos_yielding": 3.8865791111249686, + "deflection": 0.022684932048432634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005674)" + }, + "parent_node_id": "node_1095", + "improvement_over_parent": null + }, + "node_1097": { + "node_id": "node_1097", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n Mass: 166.94 kg\n Factor of Safety: 0.69\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.9444371811445, + "fos_buckling": 0.6937380383752552, + "fos_yielding": 4.907309719830209, + "deflection": 0.02043368385549081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004594)" + }, + "parent_node_id": "node_1096", + "improvement_over_parent": null + }, + "node_1098": { + "node_id": "node_1098", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 180.74 kg\n Factor of Safety: 1.16\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.7369026436191, + "fos_buckling": 1.1628486604617165, + "fos_yielding": 5.539399495740763, + "deflection": 0.015915469630468745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004968)" + }, + "parent_node_id": "node_1097", + "improvement_over_parent": null + }, + "node_1099": { + "node_id": "node_1099", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 207.59 kg\n Factor of Safety: 1.31\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.5873547305721, + "fos_buckling": 1.307812443027014, + "fos_yielding": 6.364289540880674, + "deflection": 0.013899489542721969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_1098", + "improvement_over_parent": null + }, + "node_1100": { + "node_id": "node_1100", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.57671756725185, + "fos_buckling": 1.5349869210761902, + "fos_yielding": 7.747571680251941, + "deflection": 0.01148237072772545, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1099", + "improvement_over_parent": null + }, + "node_1101": { + "node_id": "node_1101", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1100", + "improvement_over_parent": null + }, + "node_1102": { + "node_id": "node_1102", + "content": "INITIAL DESIGN (Trace 158)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 164.19 kg\n Factor of Safety: 0.53\n Max Deflection: 1.84e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.18818390819246, + "fos_buckling": 0.5303325327313352, + "fos_yielding": 4.631278445984636, + "deflection": 18350043003691.555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1103": { + "node_id": "node_1103", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n Mass: 166.32 kg\n Factor of Safety: 0.40\n Max Deflection: 1.27e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.3232344881254, + "fos_buckling": 0.3961149123721231, + "fos_yielding": 1.6949155087519892, + "deflection": 12731388714124.166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003354)" + }, + "parent_node_id": "node_1102", + "improvement_over_parent": null + }, + "node_1104": { + "node_id": "node_1104", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 198.43 kg\n Factor of Safety: 0.10\n Max Deflection: 9.20e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.42683590369674, + "fos_buckling": 0.10439022823717507, + "fos_yielding": 0.4237288771879973, + "deflection": 91962156329667.53, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1103", + "improvement_over_parent": null + }, + "node_1105": { + "node_id": "node_1105", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 217.04 kg\n Factor of Safety: 0.21\n Max Deflection: 8.88e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.04236196006406, + "fos_buckling": 0.21296007283223686, + "fos_yielding": 3.3898310175039783, + "deflection": 8879866605037.77, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_1104", + "improvement_over_parent": null + }, + "node_1106": { + "node_id": "node_1106", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 233.71 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.71264576632115, + "fos_buckling": 0.40529819853505783, + "fos_yielding": 5.377021444630626, + "deflection": 0.013386690526092492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_1105", + "improvement_over_parent": null + }, + "node_1107": { + "node_id": "node_1107", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.56069378163335, + "fos_buckling": 1.5350922213493954, + "fos_yielding": 7.747441162883894, + "deflection": 0.011482631231461567, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_1106", + "improvement_over_parent": null + }, + "node_1108": { + "node_id": "node_1108", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1107", + "improvement_over_parent": null + }, + "node_1109": { + "node_id": "node_1109", + "content": "INITIAL DESIGN (Trace 159)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 158.03 kg\n Factor of Safety: 0.65\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.03498751109348, + "fos_buckling": 0.6494711309096326, + "fos_yielding": 3.0976986926624197, + "deflection": 0.01976708322100135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1110": { + "node_id": "node_1110", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 184.65 kg\n Factor of Safety: 0.74\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.64735372076913, + "fos_buckling": 0.7389313773402351, + "fos_yielding": 3.609191018699628, + "deflection": 0.016967585530915482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1109", + "improvement_over_parent": null + }, + "node_1111": { + "node_id": "node_1111", + "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 191.62 kg\n Factor of Safety: 0.74\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.61752191565452, + "fos_buckling": 0.7374559465866983, + "fos_yielding": 4.306268967020196, + "deflection": 0.01591801852349475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.529)" + }, + "parent_node_id": "node_1110", + "improvement_over_parent": null + }, + "node_1112": { + "node_id": "node_1112", + "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 197.94 kg\n Factor of Safety: 0.74\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9370237948718, + "fos_buckling": 0.7370112056067815, + "fos_yielding": 4.276128710641354, + "deflection": 0.015512713973748518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.511)" + }, + "parent_node_id": "node_1111", + "improvement_over_parent": null + }, + "node_1113": { + "node_id": "node_1113", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 234.88 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.87789082866573, + "fos_buckling": 0.8446083441633266, + "fos_yielding": 5.0469718104821, + "deflection": 0.013133201005382686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_1112", + "improvement_over_parent": null + }, + "node_1114": { + "node_id": "node_1114", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.67 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.66936651707016, + "fos_buckling": 1.535784018416134, + "fos_yielding": 7.750497885400335, + "deflection": 0.011478490339599782, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_1113", + "improvement_over_parent": null + }, + "node_1115": { + "node_id": "node_1115", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1114", + "improvement_over_parent": null + }, + "node_1116": { + "node_id": "node_1116", + "content": "INITIAL DESIGN (Trace 160)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n Mass: 123.71 kg\n Factor of Safety: 0.35\n Max Deflection: 3.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.71397960648451, + "fos_buckling": 0.3530192466382898, + "fos_yielding": 2.5011661037181088, + "deflection": 0.035631084787428116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1117": { + "node_id": "node_1117", + "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n Mass: 127.09 kg\n Factor of Safety: 0.35\n Max Deflection: 3.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.09167192448928, + "fos_buckling": 0.35318267933602804, + "fos_yielding": 2.500754680913979, + "deflection": 0.03563971577687917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.553)" + }, + "parent_node_id": "node_1116", + "improvement_over_parent": null + }, + "node_1118": { + "node_id": "node_1118", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n\nPerformance:\n Mass: 141.09 kg\n Factor of Safety: 0.39\n Max Deflection: 3.21e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.08696846539073, + "fos_buckling": 0.38614779536240795, + "fos_yielding": 2.770468758654994, + "deflection": 0.032142102981995345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1117", + "improvement_over_parent": null + }, + "node_1119": { + "node_id": "node_1119", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n Mass: 161.07 kg\n Factor of Safety: 0.43\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.07038763821217, + "fos_buckling": 0.43125601107752465, + "fos_yielding": 3.153648992375977, + "deflection": 0.02820088342480759, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1118", + "improvement_over_parent": null + }, + "node_1120": { + "node_id": "node_1120", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 183.02 kg\n Factor of Safety: 0.37\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.01518357722023, + "fos_buckling": 0.37282069116504546, + "fos_yielding": 4.754996954136653, + "deflection": 0.017076167292843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006465)" + }, + "parent_node_id": "node_1119", + "improvement_over_parent": null + }, + "node_1121": { + "node_id": "node_1121", + "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 188.92 kg\n Factor of Safety: 0.34\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.91666633681598, + "fos_buckling": 0.3396991868178842, + "fos_yielding": 4.7470217014583085, + "deflection": 0.01700186928229863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.490)" + }, + "parent_node_id": "node_1120", + "improvement_over_parent": null + }, + "node_1122": { + "node_id": "node_1122", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0095)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 233.35 kg\n Factor of Safety: 0.40\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.34778726509649, + "fos_buckling": 0.4035058651113425, + "fos_yielding": 5.807252843036788, + "deflection": 0.013832294226271401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_1121", + "improvement_over_parent": null + }, + "node_1123": { + "node_id": "node_1123", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0095)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.96 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.9633133214638, + "fos_buckling": 1.4313267016628357, + "fos_yielding": 8.00455591622714, + "deflection": 0.011739556094878773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_1122", + "improvement_over_parent": null + }, + "node_1124": { + "node_id": "node_1124", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1123", + "improvement_over_parent": null + }, + "node_1125": { + "node_id": "node_1125", + "content": "INITIAL DESIGN (Trace 161)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 153.45 kg\n Factor of Safety: 0.30\n Max Deflection: 5.58e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.4535400870549, + "fos_buckling": 0.29991550275014484, + "fos_yielding": 1.0430249284627626, + "deflection": 5584816636511.01, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1126": { + "node_id": "node_1126", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 158.61 kg\n Factor of Safety: 0.26\n Max Deflection: 8.99e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.6086129419473, + "fos_buckling": 0.2624260649063767, + "fos_yielding": 1.129943672501326, + "deflection": 8991672162414.635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.383)" + }, + "parent_node_id": "node_1125", + "improvement_over_parent": null + }, + "node_1127": { + "node_id": "node_1127", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 187.62 kg\n Factor of Safety: 0.30\n Max Deflection: 7.15e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.62429702594434, + "fos_buckling": 0.30183474729831045, + "fos_yielding": 1.0430249284627628, + "deflection": 7153534456396.837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1126", + "improvement_over_parent": null + }, + "node_1128": { + "node_id": "node_1128", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 193.11 kg\n Factor of Safety: 0.30\n Max Deflection: 1.64e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.11186962107448, + "fos_buckling": 0.30183474729831045, + "fos_yielding": 1.6949155087519892, + "deflection": 16399893540106.023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.292)" + }, + "parent_node_id": "node_1127", + "improvement_over_parent": null + }, + "node_1129": { + "node_id": "node_1129", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 218.23 kg\n Factor of Safety: 0.30\n Max Deflection: 5.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.23401127292132, + "fos_buckling": 0.2996338945326203, + "fos_yielding": 1.1658463025349133, + "deflection": 0.053889051125972504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_1128", + "improvement_over_parent": null + }, + "node_1130": { + "node_id": "node_1130", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 245.37 kg\n Factor of Safety: 0.81\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.37253484130378, + "fos_buckling": 0.8058946224983047, + "fos_yielding": 4.503933494748302, + "deflection": 0.015754844152216927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_1129", + "improvement_over_parent": null + }, + "node_1131": { + "node_id": "node_1131", + "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 249.80 kg\n Factor of Safety: 0.80\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.80431864304597, + "fos_buckling": 0.8022144957888095, + "fos_yielding": 4.47056898352579, + "deflection": 0.015755462143981463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.328)" + }, + "parent_node_id": "node_1130", + "improvement_over_parent": null + }, + "node_1132": { + "node_id": "node_1132", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35031080410812, + "fos_buckling": 1.534279526198677, + "fos_yielding": 7.74370189103375, + "deflection": 0.01149188815403221, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_1131", + "improvement_over_parent": null + }, + "node_1133": { + "node_id": "node_1133", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1132", + "improvement_over_parent": null + }, + "node_1134": { + "node_id": "node_1134", + "content": "INITIAL DESIGN (Trace 162)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 205.32 kg\n Factor of Safety: 0.69\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.32299705553473, + "fos_buckling": 0.6909352302947087, + "fos_yielding": 3.9897682177966045, + "deflection": 0.018852381473676193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1135": { + "node_id": "node_1135", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n Mass: 207.46 kg\n Factor of Safety: 1.13\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.45981615064653, + "fos_buckling": 1.128069009127597, + "fos_yielding": 6.526550414013596, + "deflection": 0.013815265061746287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003357)" + }, + "parent_node_id": "node_1134", + "improvement_over_parent": null + }, + "node_1136": { + "node_id": "node_1136", + "content": "MODIFICATION: Increase 15 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0048)]\n\nPerformance:\n Mass: 208.28 kg\n Factor of Safety: 1.12\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.27596891866457, + "fos_buckling": 1.1248373077294842, + "fos_yielding": 7.850125685798118, + "deflection": 0.013699666226618527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.427)" + }, + "parent_node_id": "node_1135", + "improvement_over_parent": null + }, + "node_1137": { + "node_id": "node_1137", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0058)]\n\nPerformance:\n Mass: 248.33 kg\n Factor of Safety: 1.31\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.32708939029612, + "fos_buckling": 1.308835631320852, + "fos_yielding": 9.300076252879052, + "deflection": 0.01154533477403786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1136", + "improvement_over_parent": null + }, + "node_1138": { + "node_id": "node_1138", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1137", + "improvement_over_parent": null + }, + "node_1139": { + "node_id": "node_1139", + "content": "INITIAL DESIGN (Trace 163)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 166.52 kg\n Factor of Safety: 0.73\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.5210513953936, + "fos_buckling": 0.7273040757251094, + "fos_yielding": 5.179438037567079, + "deflection": 0.019708396855079333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1140": { + "node_id": "node_1140", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 190.59 kg\n Factor of Safety: 0.81\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.59173539104717, + "fos_buckling": 0.8145441458220881, + "fos_yielding": 5.91193028620144, + "deflection": 0.01726827166311832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_1139", + "improvement_over_parent": null + }, + "node_1141": { + "node_id": "node_1141", + "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 192.64 kg\n Factor of Safety: 0.81\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.64435683700805, + "fos_buckling": 0.8144629063264155, + "fos_yielding": 5.911340653046053, + "deflection": 0.01720132990638612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.208)" + }, + "parent_node_id": "node_1140", + "improvement_over_parent": null + }, + "node_1142": { + "node_id": "node_1142", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 222.87 kg\n Factor of Safety: 0.92\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.8693452426106, + "fos_buckling": 0.9167814116571503, + "fos_yielding": 6.816350219065638, + "deflection": 0.014920019809794283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1141", + "improvement_over_parent": null + }, + "node_1143": { + "node_id": "node_1143", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 246.16 kg\n Factor of Safety: 1.26\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.15518484470783, + "fos_buckling": 1.262621168737863, + "fos_yielding": 7.372513902106316, + "deflection": 0.011700304349011705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_1142", + "improvement_over_parent": null + }, + "node_1144": { + "node_id": "node_1144", + "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0102)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 254.50 kg\n Factor of Safety: 1.25\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.50204307645035, + "fos_buckling": 1.2522123872741935, + "fos_yielding": 7.398014758687347, + "deflection": 0.011578872249742533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.546)" + }, + "parent_node_id": "node_1143", + "improvement_over_parent": null + }, + "node_1145": { + "node_id": "node_1145", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1144", + "improvement_over_parent": null + }, + "node_1146": { + "node_id": "node_1146", + "content": "INITIAL DESIGN (Trace 164)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 131.65 kg\n Factor of Safety: 0.49\n Max Deflection: 2.94e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.6531755220061, + "fos_buckling": 0.4878141360949646, + "fos_yielding": 2.639787064264404, + "deflection": 0.02936467707999355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1147": { + "node_id": "node_1147", + "content": "MODIFICATION: Increase 4 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 136.93 kg\n Factor of Safety: 0.49\n Max Deflection: 2.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.92769918434809, + "fos_buckling": 0.4874369282464226, + "fos_yielding": 2.637754778967531, + "deflection": 0.028796697813712652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.481)" + }, + "parent_node_id": "node_1146", + "improvement_over_parent": null + }, + "node_1148": { + "node_id": "node_1148", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n\nPerformance:\n Mass: 148.15 kg\n Factor of Safety: 0.49\n Max Deflection: 2.76e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.14729265877986, + "fos_buckling": 0.4866364954198498, + "fos_yielding": 2.633442235836642, + "deflection": 0.02759314287636443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004165)" + }, + "parent_node_id": "node_1147", + "improvement_over_parent": null + }, + "node_1149": { + "node_id": "node_1149", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n Mass: 171.81 kg\n Factor of Safety: 0.55\n Max Deflection: 2.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.8064452310754, + "fos_buckling": 0.5525919926686903, + "fos_yielding": 3.043955315081545, + "deflection": 0.023858531672191815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1148", + "improvement_over_parent": null + }, + "node_1150": { + "node_id": "node_1150", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 220.26 kg\n Factor of Safety: 0.68\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.257784024375, + "fos_buckling": 0.6777975091965296, + "fos_yielding": 3.876166840472783, + "deflection": 0.018714625071500006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1149", + "improvement_over_parent": null + }, + "node_1151": { + "node_id": "node_1151", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 247.40 kg\n Factor of Safety: 1.32\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.39630759275747, + "fos_buckling": 1.3198107324363206, + "fos_yielding": 7.780810937815491, + "deflection": 0.011640658824220565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_1150", + "improvement_over_parent": null + }, + "node_1152": { + "node_id": "node_1152", + "content": "MODIFICATION: Increase 15 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0115)]\n\nPerformance:\n Mass: 257.14 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.14216831751787, + "fos_buckling": 1.3177914377949596, + "fos_yielding": 8.259858893845045, + "deflection": 0.011212596176857903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.412)" + }, + "parent_node_id": "node_1151", + "improvement_over_parent": null + }, + "node_1153": { + "node_id": "node_1153", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1152", + "improvement_over_parent": null + }, + "node_1154": { + "node_id": "node_1154", + "content": "INITIAL DESIGN (Trace 165)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 174.87 kg\n Factor of Safety: 0.73\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.86690861026077, + "fos_buckling": 0.733844634177125, + "fos_yielding": 4.650242274465947, + "deflection": 0.01778476567623542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1155": { + "node_id": "node_1155", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 209.98 kg\n Factor of Safety: 0.85\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.975502899074, + "fos_buckling": 0.8496892631855535, + "fos_yielding": 5.580546531435086, + "deflection": 0.014868726351977612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1154", + "improvement_over_parent": null + }, + "node_1156": { + "node_id": "node_1156", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 227.77 kg\n Factor of Safety: 0.41\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.76697858747843, + "fos_buckling": 0.40581846801309795, + "fos_yielding": 5.583862275953085, + "deflection": 0.013623922643204228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_1155", + "improvement_over_parent": null + }, + "node_1157": { + "node_id": "node_1157", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 246.62 kg\n Factor of Safety: 1.46\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.61502660279064, + "fos_buckling": 1.45527934465046, + "fos_yielding": 8.178758138143984, + "deflection": 0.011740670044709984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_1156", + "improvement_over_parent": null + }, + "node_1158": { + "node_id": "node_1158", + "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.67 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.66916606860644, + "fos_buckling": 1.5357005169529623, + "fos_yielding": 7.750137792963963, + "deflection": 0.011477683153980005, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.385)" + }, + "parent_node_id": "node_1157", + "improvement_over_parent": null + }, + "node_1159": { + "node_id": "node_1159", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1158", + "improvement_over_parent": null + }, + "node_1160": { + "node_id": "node_1160", + "content": "INITIAL DESIGN (Trace 166)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 150.09 kg\n Factor of Safety: 0.29\n Max Deflection: 4.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.09140996616222, + "fos_buckling": 0.2877674034568643, + "fos_yielding": 3.1020491451102568, + "deflection": 0.043436798579261866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1161": { + "node_id": "node_1161", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 184.31 kg\n Factor of Safety: 0.34\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.30915187337177, + "fos_buckling": 0.3437988118851111, + "fos_yielding": 3.8037868267227766, + "deflection": 0.0354273742005773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1160", + "improvement_over_parent": null + }, + "node_1162": { + "node_id": "node_1162", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n\nPerformance:\n Mass: 199.83 kg\n Factor of Safety: 0.72\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.83118461671594, + "fos_buckling": 0.7215073590008976, + "fos_yielding": 4.064911040944313, + "deflection": 0.020735100549952815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005495)" + }, + "parent_node_id": "node_1161", + "improvement_over_parent": null + }, + "node_1163": { + "node_id": "node_1163", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 242.88 kg\n Factor of Safety: 0.85\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.8770594976959, + "fos_buckling": 0.8487045863303155, + "fos_yielding": 4.929998044966156, + "deflection": 0.017100200016677836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1162", + "improvement_over_parent": null + }, + "node_1164": { + "node_id": "node_1164", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 245.42 kg\n Factor of Safety: 1.52\n Max Deflection: 1.22e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 245.42305165875806, + "fos_buckling": 1.515580597621826, + "fos_yielding": 7.2945502967389775, + "deflection": 0.01220789164287553, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_1163", + "improvement_over_parent": null + }, + "node_1165": { + "node_id": "node_1165", + "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.45217019097487, + "fos_buckling": 1.5344990974304449, + "fos_yielding": 7.743439573124477, + "deflection": 0.01148874080632207, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.404)" + }, + "parent_node_id": "node_1164", + "improvement_over_parent": null + }, + "node_1166": { + "node_id": "node_1166", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1165", + "improvement_over_parent": null + }, + "node_1167": { + "node_id": "node_1167", + "content": "INITIAL DESIGN (Trace 167)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 125.49 kg\n Factor of Safety: 0.52\n Max Deflection: 5.29e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.49033510180878, + "fos_buckling": 0.524285298251027, + "fos_yielding": 0.8474577543759945, + "deflection": 52932114625094.8, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1168": { + "node_id": "node_1168", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n\nPerformance:\n Mass: 141.47 kg\n Factor of Safety: 0.41\n Max Deflection: 3.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.4697072482006, + "fos_buckling": 0.4083224383228302, + "fos_yielding": 2.2160305464003853, + "deflection": 0.03024081038963271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005025)" + }, + "parent_node_id": "node_1167", + "improvement_over_parent": null + }, + "node_1169": { + "node_id": "node_1169", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 154.24 kg\n Factor of Safety: 0.49\n Max Deflection: 2.74e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.24454319672606, + "fos_buckling": 0.49483236052303736, + "fos_yielding": 2.147349897308507, + "deflection": 0.02739411937301038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004493)" + }, + "parent_node_id": "node_1168", + "improvement_over_parent": null + }, + "node_1170": { + "node_id": "node_1170", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 177.67 kg\n Factor of Safety: 0.56\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.6718451902013, + "fos_buckling": 0.5585162127895605, + "fos_yielding": 2.476995742175218, + "deflection": 0.02383769121819937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_1169", + "improvement_over_parent": null + }, + "node_1171": { + "node_id": "node_1171", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 224.62 kg\n Factor of Safety: 0.68\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.62019429452275, + "fos_buckling": 0.6772383816443118, + "fos_yielding": 3.14124793736666, + "deflection": 0.018943185766420154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1170", + "improvement_over_parent": null + }, + "node_1172": { + "node_id": "node_1172", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.76 kg\n Factor of Safety: 1.46\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.7587178629052, + "fos_buckling": 1.4616567220808667, + "fos_yielding": 6.1923011145224605, + "deflection": 0.011588636160017672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_1171", + "improvement_over_parent": null + }, + "node_1173": { + "node_id": "node_1173", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.31167445658008, + "fos_buckling": 1.5342533312214546, + "fos_yielding": 7.735580354644774, + "deflection": 0.011494018967435743, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.305)" + }, + "parent_node_id": "node_1172", + "improvement_over_parent": null + }, + "node_1174": { + "node_id": "node_1174", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1173", + "improvement_over_parent": null + }, + "node_1175": { + "node_id": "node_1175", + "content": "INITIAL DESIGN (Trace 168)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 148.99 kg\n Factor of Safety: 0.43\n Max Deflection: 6.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.98716593728815, + "fos_buckling": 0.4291068627605147, + "fos_yielding": 3.0022160500754027, + "deflection": 0.061644988597148474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1176": { + "node_id": "node_1176", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n Mass: 150.65 kg\n Factor of Safety: 0.59\n Max Deflection: 3.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.64711302539322, + "fos_buckling": 0.5941766932256048, + "fos_yielding": 3.4757335885373752, + "deflection": 0.03043251749374142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002563)" + }, + "parent_node_id": "node_1175", + "improvement_over_parent": null + }, + "node_1177": { + "node_id": "node_1177", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 187.66 kg\n Factor of Safety: 0.71\n Max Deflection: 2.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.6598705058112, + "fos_buckling": 0.7149848056093112, + "fos_yielding": 4.323121340703021, + "deflection": 0.02456315206426853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1176", + "improvement_over_parent": null + }, + "node_1178": { + "node_id": "node_1178", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 188.23 kg\n Factor of Safety: 0.71\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.23213728452183, + "fos_buckling": 0.714828335062512, + "fos_yielding": 4.128024055060786, + "deflection": 0.01650285031171474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001705)" + }, + "parent_node_id": "node_1177", + "improvement_over_parent": null + }, + "node_1179": { + "node_id": "node_1179", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 190.58 kg\n Factor of Safety: 0.71\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.57564313015368, + "fos_buckling": 0.7145081651669177, + "fos_yielding": 4.1240768259013505, + "deflection": 0.01609648898485236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.248)" + }, + "parent_node_id": "node_1178", + "improvement_over_parent": null + }, + "node_1180": { + "node_id": "node_1180", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 234.49 kg\n Factor of Safety: 0.84\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.49117822509595, + "fos_buckling": 0.8435546959588317, + "fos_yielding": 5.041993407348702, + "deflection": 0.013153726480604757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_1179", + "improvement_over_parent": null + }, + "node_1181": { + "node_id": "node_1181", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.28 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.28265391350038, + "fos_buckling": 1.5335965787881534, + "fos_yielding": 7.737608826375088, + "deflection": 0.011495640765314969, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_1180", + "improvement_over_parent": null + }, + "node_1182": { + "node_id": "node_1182", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1181", + "improvement_over_parent": null + }, + "node_1183": { + "node_id": "node_1183", + "content": "INITIAL DESIGN (Trace 169)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 196.43 kg\n Factor of Safety: 1.18\n Max Deflection: 2.10e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.4303575947432, + "fos_buckling": 1.1782643830781911, + "fos_yielding": 8.439583133077026, + "deflection": 20997588119671.266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1184": { + "node_id": "node_1184", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 196.69 kg\n Factor of Safety: 1.18\n Max Deflection: 2.10e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.69236770817776, + "fos_buckling": 1.1782643830781911, + "fos_yielding": 8.439583133077026, + "deflection": 20997588119671.266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.209)" + }, + "parent_node_id": "node_1183", + "improvement_over_parent": null + }, + "node_1185": { + "node_id": "node_1185", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 223.83 kg\n Factor of Safety: 0.92\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.8308912765602, + "fos_buckling": 0.9168238285276803, + "fos_yielding": 6.817318866801045, + "deflection": 0.014874436203657707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_1184", + "improvement_over_parent": null + }, + "node_1186": { + "node_id": "node_1186", + "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0103)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 232.28 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.27729562517465, + "fos_buckling": 0.9156999410831649, + "fos_yielding": 6.8089618642436776, + "deflection": 0.014712154805629669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.520)" + }, + "parent_node_id": "node_1185", + "improvement_over_parent": null + }, + "node_1187": { + "node_id": "node_1187", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0103)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 255.56 kg\n Factor of Safety: 1.54\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.56313522727189, + "fos_buckling": 1.5397013160006923, + "fos_yielding": 8.380570392457967, + "deflection": 0.011426614562679065, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_1186", + "improvement_over_parent": null + }, + "node_1188": { + "node_id": "node_1188", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1187", + "improvement_over_parent": null + }, + "node_1189": { + "node_id": "node_1189", + "content": "INITIAL DESIGN (Trace 170)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1190": { + "node_id": "node_1190", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 214.36 kg\n Factor of Safety: 0.41\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.36103328134644, + "fos_buckling": 0.4059800903763004, + "fos_yielding": 6.4617626897978635, + "deflection": 0.01642328941470369, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_1189", + "improvement_over_parent": null + }, + "node_1191": { + "node_id": "node_1191", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 233.21 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.20908129665864, + "fos_buckling": 0.9157960237783777, + "fos_yielding": 6.809366356839621, + "deflection": 0.014737915970650224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_1190", + "improvement_over_parent": null + }, + "node_1192": { + "node_id": "node_1192", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47532211756595, + "fos_buckling": 1.5345835755991575, + "fos_yielding": 7.744449924388303, + "deflection": 0.011486871833020086, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1191", + "improvement_over_parent": null + }, + "node_1193": { + "node_id": "node_1193", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1192", + "improvement_over_parent": null + }, + "node_1194": { + "node_id": "node_1194", + "content": "INITIAL DESIGN (Trace 171)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 184.84 kg\n Factor of Safety: 0.78\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.8400569128845, + "fos_buckling": 0.779684652082526, + "fos_yielding": 5.615496835244887, + "deflection": 0.01873835980325309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1195": { + "node_id": "node_1195", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 185.42 kg\n Factor of Safety: 0.78\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.41793041759246, + "fos_buckling": 0.7796408336597133, + "fos_yielding": 5.615181243275783, + "deflection": 0.018739865425439435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001723)" + }, + "parent_node_id": "node_1194", + "improvement_over_parent": null + }, + "node_1196": { + "node_id": "node_1196", + "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 191.34 kg\n Factor of Safety: 0.78\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.33515405965045, + "fos_buckling": 0.7789684238046278, + "fos_yielding": 5.610338368142701, + "deflection": 0.017878186514260867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.410)" + }, + "parent_node_id": "node_1195", + "improvement_over_parent": null + }, + "node_1197": { + "node_id": "node_1197", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n\nPerformance:\n Mass: 207.14 kg\n Factor of Safety: 1.31\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.14122667160743, + "fos_buckling": 1.3055289271477355, + "fos_yielding": 6.350710038013851, + "deflection": 0.013928697163936398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005749)" + }, + "parent_node_id": "node_1196", + "improvement_over_parent": null + }, + "node_1198": { + "node_id": "node_1198", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.60 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.6000785265684, + "fos_buckling": 1.5351750484447595, + "fos_yielding": 7.748447335024852, + "deflection": 0.011481323928253297, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1197", + "improvement_over_parent": null + }, + "node_1199": { + "node_id": "node_1199", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1198", + "improvement_over_parent": null + }, + "node_1200": { + "node_id": "node_1200", + "content": "INITIAL DESIGN (Trace 172)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 155.72 kg\n Factor of Safety: 0.49\n Max Deflection: 2.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.71503031466327, + "fos_buckling": 0.48908218988418084, + "fos_yielding": 1.971101820453342, + "deflection": 0.02737033445703952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1201": { + "node_id": "node_1201", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n\nPerformance:\n Mass: 174.53 kg\n Factor of Safety: 0.97\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.53321038427586, + "fos_buckling": 0.9667514989587243, + "fos_yielding": 3.896207383823962, + "deflection": 0.016628237881016684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005485)" + }, + "parent_node_id": "node_1200", + "improvement_over_parent": null + }, + "node_1202": { + "node_id": "node_1202", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 1.13\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.05923453318587, + "fos_buckling": 1.1313252156251403, + "fos_yielding": 5.362809329740365, + "deflection": 0.01642112435107923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.451)" + }, + "parent_node_id": "node_1201", + "improvement_over_parent": null + }, + "node_1203": { + "node_id": "node_1203", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n\nPerformance:\n Mass: 218.28 kg\n Factor of Safety: 1.36\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.27930076904062, + "fos_buckling": 1.3636161037244265, + "fos_yielding": 6.690176547706446, + "deflection": 0.013234911241936615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1202", + "improvement_over_parent": null + }, + "node_1204": { + "node_id": "node_1204", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.26 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.25961946160982, + "fos_buckling": 1.5334919368430466, + "fos_yielding": 7.734712131680638, + "deflection": 0.011496493492198832, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1203", + "improvement_over_parent": null + }, + "node_1205": { + "node_id": "node_1205", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1204", + "improvement_over_parent": null + }, + "node_1206": { + "node_id": "node_1206", + "content": "INITIAL DESIGN (Trace 173)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 135.46 kg\n Factor of Safety: 0.55\n Max Deflection: 3.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.46274200302145, + "fos_buckling": 0.5529864567482291, + "fos_yielding": 3.019643855408885, + "deflection": 0.03248293108245475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1207": { + "node_id": "node_1207", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n Mass: 135.89 kg\n Factor of Safety: 0.55\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.8853954286129, + "fos_buckling": 0.5528962382542737, + "fos_yielding": 3.0460057364366397, + "deflection": 0.022667812640125753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001235)" + }, + "parent_node_id": "node_1206", + "improvement_over_parent": null + }, + "node_1208": { + "node_id": "node_1208", + "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n Mass: 141.81 kg\n Factor of Safety: 0.55\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.8129114579317, + "fos_buckling": 0.5525801526532218, + "fos_yielding": 3.029271773514218, + "deflection": 0.022120448362403636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.458)" + }, + "parent_node_id": "node_1207", + "improvement_over_parent": null + }, + "node_1209": { + "node_id": "node_1209", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n\nPerformance:\n Mass: 149.44 kg\n Factor of Safety: 0.84\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.4412195528601, + "fos_buckling": 0.8363774014051917, + "fos_yielding": 4.0745090527782075, + "deflection": 0.01961425870100304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.002683)" + }, + "parent_node_id": "node_1208", + "improvement_over_parent": null + }, + "node_1210": { + "node_id": "node_1210", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0083)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n\nPerformance:\n Mass: 191.94 kg\n Factor of Safety: 1.05\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.93523584013627, + "fos_buckling": 1.0511952726709595, + "fos_yielding": 5.247247121457119, + "deflection": 0.015335787298760742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1209", + "improvement_over_parent": null + }, + "node_1211": { + "node_id": "node_1211", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0099)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n Mass: 225.24 kg\n Factor of Safety: 1.21\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.24419918417408, + "fos_buckling": 1.2124386334618709, + "fos_yielding": 6.171711911083791, + "deflection": 0.013110325951956835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1210", + "improvement_over_parent": null + }, + "node_1212": { + "node_id": "node_1212", + "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0099)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n Mass: 225.48 kg\n Factor of Safety: 1.21\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.48124787564637, + "fos_buckling": 1.2126834967938482, + "fos_yielding": 6.193066053834412, + "deflection": 0.01310570651907285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.420)" + }, + "parent_node_id": "node_1211", + "improvement_over_parent": null + }, + "node_1213": { + "node_id": "node_1213", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0110)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n Mass: 249.01 kg\n Factor of Safety: 1.32\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.01167374747948, + "fos_buckling": 1.3227148326514806, + "fos_yielding": 6.850559458756769, + "deflection": 0.011894061245703812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_1212", + "improvement_over_parent": null + }, + "node_1214": { + "node_id": "node_1214", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1213", + "improvement_over_parent": null + }, + "node_1215": { + "node_id": "node_1215", + "content": "INITIAL DESIGN (Trace 174)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 178.66 kg\n Factor of Safety: 0.36\n Max Deflection: 3.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.66464289060715, + "fos_buckling": 0.36452263982486544, + "fos_yielding": 1.0720017273341576, + "deflection": 0.031685435484056286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1216": { + "node_id": "node_1216", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 226.20 kg\n Factor of Safety: 0.44\n Max Deflection: 2.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.20334600897078, + "fos_buckling": 0.44262234576909426, + "fos_yielding": 1.3565016109301542, + "deflection": 0.02516326858866622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_1215", + "improvement_over_parent": null + }, + "node_1217": { + "node_id": "node_1217", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.33 kg\n Factor of Safety: 1.22\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.32548766081763, + "fos_buckling": 1.2174522929955278, + "fos_yielding": 5.0168073860677165, + "deflection": 0.011693843832166382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_1216", + "improvement_over_parent": null + }, + "node_1218": { + "node_id": "node_1218", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.47 kg\n Factor of Safety: 1.22\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.4744844181042, + "fos_buckling": 1.2218637531042382, + "fos_yielding": 5.034985877154433, + "deflection": 0.011690280280687072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.335)" + }, + "parent_node_id": "node_1217", + "improvement_over_parent": null + }, + "node_1219": { + "node_id": "node_1219", + "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.19 kg\n Factor of Safety: 1.22\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.18796037912662, + "fos_buckling": 1.2229901417269309, + "fos_yielding": 5.03962743460553, + "deflection": 0.011663295301134406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.504)" + }, + "parent_node_id": "node_1218", + "improvement_over_parent": null + }, + "node_1220": { + "node_id": "node_1220", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.33 kg\n Factor of Safety: 1.23\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.33175215476112, + "fos_buckling": 1.225825885521385, + "fos_yielding": 5.051312804533257, + "deflection": 0.011661226646618006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.253)" + }, + "parent_node_id": "node_1219", + "improvement_over_parent": null + }, + "node_1221": { + "node_id": "node_1221", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1220", + "improvement_over_parent": null + }, + "node_1222": { + "node_id": "node_1222", + "content": "INITIAL DESIGN (Trace 175)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n Mass: 165.88 kg\n Factor of Safety: 0.27\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.8808682432273, + "fos_buckling": 0.26545809143268945, + "fos_yielding": 3.977973441225396, + "deflection": 0.0217478746275899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1223": { + "node_id": "node_1223", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 176.35 kg\n Factor of Safety: 0.76\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.3513349283961, + "fos_buckling": 0.7557338996038799, + "fos_yielding": 5.4148707252952235, + "deflection": 0.01927137950131031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003642)" + }, + "parent_node_id": "node_1222", + "improvement_over_parent": null + }, + "node_1224": { + "node_id": "node_1224", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 176.45 kg\n Factor of Safety: 0.76\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.44641681081646, + "fos_buckling": 0.7557269072180856, + "fos_yielding": 5.414820624505573, + "deflection": 0.019271623058703412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.221)" + }, + "parent_node_id": "node_1223", + "improvement_over_parent": null + }, + "node_1225": { + "node_id": "node_1225", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 191.68 kg\n Factor of Safety: 1.06\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.67926069056145, + "fos_buckling": 1.057592867753842, + "fos_yielding": 5.928649056897021, + "deflection": 0.015199536452859815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005525)" + }, + "parent_node_id": "node_1224", + "improvement_over_parent": null + }, + "node_1226": { + "node_id": "node_1226", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 195.39 kg\n Factor of Safety: 1.07\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.39375556429138, + "fos_buckling": 1.0671606889614478, + "fos_yielding": 6.149500314226806, + "deflection": 0.014646579115464709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.235)" + }, + "parent_node_id": "node_1225", + "improvement_over_parent": null + }, + "node_1227": { + "node_id": "node_1227", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 215.98 kg\n Factor of Safety: 1.16\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.9848190755973, + "fos_buckling": 1.1649823547978626, + "fos_yielding": 6.798086433018993, + "deflection": 0.013282221910297445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1226", + "improvement_over_parent": null + }, + "node_1228": { + "node_id": "node_1228", + "content": "MODIFICATION: Increase 15 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0088)]\n\nPerformance:\n Mass: 222.49 kg\n Factor of Safety: 1.16\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.49391955291543, + "fos_buckling": 1.1647954064160808, + "fos_yielding": 6.508745697732785, + "deflection": 0.013037547042221393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.435)" + }, + "parent_node_id": "node_1227", + "improvement_over_parent": null + }, + "node_1229": { + "node_id": "node_1229", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0102)]\n\nPerformance:\n Mass: 254.58 kg\n Factor of Safety: 1.31\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.58355965789949, + "fos_buckling": 1.308220077802018, + "fos_yielding": 7.456714573915625, + "deflection": 0.011433245645604289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_1228", + "improvement_over_parent": null + }, + "node_1230": { + "node_id": "node_1230", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1229", + "improvement_over_parent": null + }, + "node_1231": { + "node_id": "node_1231", + "content": "INITIAL DESIGN (Trace 176)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 180.65 kg\n Factor of Safety: 0.56\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.6537915015837, + "fos_buckling": 0.5591359996250391, + "fos_yielding": 3.996571167780812, + "deflection": 0.020395441563361923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1232": { + "node_id": "node_1232", + "content": "MODIFICATION: Increase 4 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 184.63 kg\n Factor of Safety: 0.56\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.6336692632858, + "fos_buckling": 0.5590278503194309, + "fos_yielding": 3.995798142261261, + "deflection": 0.02016599136930234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.499)" + }, + "parent_node_id": "node_1231", + "improvement_over_parent": null + }, + "node_1233": { + "node_id": "node_1233", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 216.05 kg\n Factor of Safety: 0.64\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.0515541942918, + "fos_buckling": 0.6442418211507336, + "fos_yielding": 4.68230721020005, + "deflection": 0.017268798472573663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_1232", + "improvement_over_parent": null + }, + "node_1234": { + "node_id": "node_1234", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 218.93 kg\n Factor of Safety: 0.64\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.93013231962644, + "fos_buckling": 0.644151994920213, + "fos_yielding": 4.681654359060892, + "deflection": 0.01711600697107629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.379)" + }, + "parent_node_id": "node_1233", + "improvement_over_parent": null + }, + "node_1235": { + "node_id": "node_1235", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 219.63 kg\n Factor of Safety: 0.64\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.63445316654747, + "fos_buckling": 0.6441080472856486, + "fos_yielding": 4.68133495054155, + "deflection": 0.017112713001220525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_1234", + "improvement_over_parent": null + }, + "node_1236": { + "node_id": "node_1236", + "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0118)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 230.83 kg\n Factor of Safety: 0.64\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.82696481805274, + "fos_buckling": 0.6434104700745642, + "fos_yielding": 4.67626500522304, + "deflection": 0.017130866414027116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.560)" + }, + "parent_node_id": "node_1235", + "improvement_over_parent": null + }, + "node_1237": { + "node_id": "node_1237", + "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0118)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 235.27 kg\n Factor of Safety: 0.64\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.27292565600658, + "fos_buckling": 0.6432721018532822, + "fos_yielding": 4.675259354085686, + "deflection": 0.01698204677000268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.445)" + }, + "parent_node_id": "node_1236", + "improvement_over_parent": null + }, + "node_1238": { + "node_id": "node_1238", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0118)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 254.54 kg\n Factor of Safety: 1.29\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.5391664769139, + "fos_buckling": 1.2887029010737965, + "fos_yielding": 6.715483767482524, + "deflection": 0.011816910102490178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1237", + "improvement_over_parent": null + }, + "node_1239": { + "node_id": "node_1239", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1238", + "improvement_over_parent": null + }, + "node_1240": { + "node_id": "node_1240", + "content": "INITIAL DESIGN (Trace 177)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 215.15 kg\n Factor of Safety: 1.04\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.15073581902254, + "fos_buckling": 1.0441052887461275, + "fos_yielding": 6.821760479298537, + "deflection": 0.013240569762579622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1241": { + "node_id": "node_1241", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 237.97 kg\n Factor of Safety: 1.14\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.96537405720045, + "fos_buckling": 1.1409559964798823, + "fos_yielding": 7.5460923004620275, + "deflection": 0.01200263432112467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_1240", + "improvement_over_parent": null + }, + "node_1242": { + "node_id": "node_1242", + "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 243.74 kg\n Factor of Safety: 1.29\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.7408874512391, + "fos_buckling": 1.287022681537166, + "fos_yielding": 7.503350206338744, + "deflection": 0.011747760658102131, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.658)" + }, + "parent_node_id": "node_1241", + "improvement_over_parent": null + }, + "node_1243": { + "node_id": "node_1243", + "content": "MODIFICATION: Increase 13 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 247.62 kg\n Factor of Safety: 1.27\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.62384150862522, + "fos_buckling": 1.2747181347912815, + "fos_yielding": 7.707279074085899, + "deflection": 0.011635030764190516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.285)" + }, + "parent_node_id": "node_1242", + "improvement_over_parent": null + }, + "node_1244": { + "node_id": "node_1244", + "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.50313083113488, + "fos_buckling": 1.5347958372555395, + "fos_yielding": 7.745515997018029, + "deflection": 0.011485304966213857, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.543)" + }, + "parent_node_id": "node_1243", + "improvement_over_parent": null + }, + "node_1245": { + "node_id": "node_1245", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1244", + "improvement_over_parent": null + }, + "node_1246": { + "node_id": "node_1246", + "content": "INITIAL DESIGN (Trace 178)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n Mass: 155.06 kg\n Factor of Safety: 0.13\n Max Deflection: 4.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.06025945322392, + "fos_buckling": 0.12822767225959644, + "fos_yielding": 1.9532337933552586, + "deflection": 0.04604123608085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1247": { + "node_id": "node_1247", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n\nPerformance:\n Mass: 156.97 kg\n Factor of Safety: 0.13\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.97225837469605, + "fos_buckling": 0.12817984818614192, + "fos_yielding": 1.9525053110022592, + "deflection": 0.02183823084393156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002979)" + }, + "parent_node_id": "node_1246", + "improvement_over_parent": null + }, + "node_1248": { + "node_id": "node_1248", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n\nPerformance:\n Mass: 171.13 kg\n Factor of Safety: 0.36\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.1269412547941, + "fos_buckling": 0.35709182685378577, + "fos_yielding": 4.434409368645958, + "deflection": 0.018504080461151894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004977)" + }, + "parent_node_id": "node_1247", + "improvement_over_parent": null + }, + "node_1249": { + "node_id": "node_1249", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 185.11 kg\n Factor of Safety: 1.20\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.10646001267557, + "fos_buckling": 1.2030528774501237, + "fos_yielding": 5.4648147292645, + "deflection": 0.01580666977984919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004946)" + }, + "parent_node_id": "node_1248", + "improvement_over_parent": null + }, + "node_1250": { + "node_id": "node_1250", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 189.61 kg\n Factor of Safety: 1.21\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.60590141183016, + "fos_buckling": 1.2116970960272033, + "fos_yielding": 5.811037764264328, + "deflection": 0.015186602677696233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.389)" + }, + "parent_node_id": "node_1249", + "improvement_over_parent": null + }, + "node_1251": { + "node_id": "node_1251", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 223.88 kg\n Factor of Safety: 1.39\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.87620095134923, + "fos_buckling": 1.3925338093213742, + "fos_yielding": 6.864051082976669, + "deflection": 0.012912310533221989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_1250", + "improvement_over_parent": null + }, + "node_1252": { + "node_id": "node_1252", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.40 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.40194639943576, + "fos_buckling": 1.534363686591779, + "fos_yielding": 7.741185663353148, + "deflection": 0.011490228884197737, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1251", + "improvement_over_parent": null + }, + "node_1253": { + "node_id": "node_1253", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1252", + "improvement_over_parent": null + }, + "node_1254": { + "node_id": "node_1254", + "content": "INITIAL DESIGN (Trace 179)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 236.58 kg\n Factor of Safety: 0.84\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.57546284180958, + "fos_buckling": 0.8438080602998033, + "fos_yielding": 3.34045974947597, + "deflection": 0.013481545090244575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1255": { + "node_id": "node_1255", + "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 236.82 kg\n Factor of Safety: 0.84\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.81979112486366, + "fos_buckling": 0.8437299285782184, + "fos_yielding": 4.768865056515945, + "deflection": 0.013360278154208002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.582)" + }, + "parent_node_id": "node_1254", + "improvement_over_parent": null + }, + "node_1256": { + "node_id": "node_1256", + "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 237.75 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.74767267804867, + "fos_buckling": 0.8435816086081582, + "fos_yielding": 5.0031654706792175, + "deflection": 0.013148808702977235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.629)" + }, + "parent_node_id": "node_1255", + "improvement_over_parent": null + }, + "node_1257": { + "node_id": "node_1257", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47218028670625, + "fos_buckling": 1.5345368994882984, + "fos_yielding": 7.741194261586679, + "deflection": 0.011487098252790793, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_1256", + "improvement_over_parent": null + }, + "node_1258": { + "node_id": "node_1258", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1257", + "improvement_over_parent": null + }, + "node_1259": { + "node_id": "node_1259", + "content": "INITIAL DESIGN (Trace 180)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 209.36 kg\n Factor of Safety: 1.23\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.36357230564428, + "fos_buckling": 1.2349777239856754, + "fos_yielding": 6.7254300833317595, + "deflection": 0.01372215944478818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1260": { + "node_id": "node_1260", + "content": "MODIFICATION: Increase 12 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 214.17 kg\n Factor of Safety: 1.23\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.17045754267488, + "fos_buckling": 1.2315560130651684, + "fos_yielding": 6.451476928773598, + "deflection": 0.013570371540474097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.543)" + }, + "parent_node_id": "node_1259", + "improvement_over_parent": null + }, + "node_1261": { + "node_id": "node_1261", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 217.60 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.60290627128154, + "fos_buckling": 1.3601334350635914, + "fos_yielding": 6.671960517194647, + "deflection": 0.01327501703710552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.186)" + }, + "parent_node_id": "node_1260", + "improvement_over_parent": null + }, + "node_1262": { + "node_id": "node_1262", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4662220615085, + "fos_buckling": 1.5345072002941578, + "fos_yielding": 7.743998866606137, + "deflection": 0.011487348213946045, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1261", + "improvement_over_parent": null + }, + "node_1263": { + "node_id": "node_1263", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1262", + "improvement_over_parent": null + }, + "node_1264": { + "node_id": "node_1264", + "content": "INITIAL DESIGN (Trace 181)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 174.74 kg\n Factor of Safety: 0.35\n Max Deflection: 2.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.7406868580744, + "fos_buckling": 0.3453225569832276, + "fos_yielding": 2.2812600479636163, + "deflection": 0.025557872700913843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1265": { + "node_id": "node_1265", + "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 178.29 kg\n Factor of Safety: 0.35\n Max Deflection: 2.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.28575752040015, + "fos_buckling": 0.34520148256692307, + "fos_yielding": 2.2793028934833024, + "deflection": 0.02435197125207589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.227)" + }, + "parent_node_id": "node_1264", + "improvement_over_parent": null + }, + "node_1266": { + "node_id": "node_1266", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n Mass: 202.14 kg\n Factor of Safety: 0.34\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.13753512406655, + "fos_buckling": 0.344389077431444, + "fos_yielding": 4.781978602596703, + "deflection": 0.015406736138390597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007074)" + }, + "parent_node_id": "node_1265", + "improvement_over_parent": null + }, + "node_1267": { + "node_id": "node_1267", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n Mass: 218.70 kg\n Factor of Safety: 1.17\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.70178109062797, + "fos_buckling": 1.1678937352215875, + "fos_yielding": 5.723134842950736, + "deflection": 0.013218498228782606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005895)" + }, + "parent_node_id": "node_1266", + "improvement_over_parent": null + }, + "node_1268": { + "node_id": "node_1268", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 249.00 kg\n Factor of Safety: 1.31\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.99654616602547, + "fos_buckling": 1.3094783730590733, + "fos_yielding": 6.508493717224545, + "deflection": 0.011650550916438704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1267", + "improvement_over_parent": null + }, + "node_1269": { + "node_id": "node_1269", + "content": "MODIFICATION: Increase 15 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0081)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.31\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.3560808542718, + "fos_buckling": 1.307114557297111, + "fos_yielding": 6.49674485572982, + "deflection": 0.011577009997282686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.200)" + }, + "parent_node_id": "node_1268", + "improvement_over_parent": null + }, + "node_1270": { + "node_id": "node_1270", + "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0081)]\n\nPerformance:\n Mass: 253.06 kg\n Factor of Safety: 1.45\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.06446599199273, + "fos_buckling": 1.450803738152326, + "fos_yielding": 7.906677104320025, + "deflection": 0.01148571825022124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.546)" + }, + "parent_node_id": "node_1269", + "improvement_over_parent": null + }, + "node_1271": { + "node_id": "node_1271", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1270", + "improvement_over_parent": null + }, + "node_1272": { + "node_id": "node_1272", + "content": "INITIAL DESIGN (Trace 182)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 201.11 kg\n Factor of Safety: 1.22\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.1065879254223, + "fos_buckling": 1.222818283103092, + "fos_yielding": 6.5806485902580825, + "deflection": 0.014146322281670528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1273": { + "node_id": "node_1273", + "content": "MODIFICATION: Increase 12 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.21\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.77163086895195, + "fos_buckling": 1.2108600410117394, + "fos_yielding": 6.372466544494937, + "deflection": 0.014026898273610776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.393)" + }, + "parent_node_id": "node_1272", + "improvement_over_parent": null + }, + "node_1274": { + "node_id": "node_1274", + "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 204.97 kg\n Factor of Safety: 1.22\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.96735225412547, + "fos_buckling": 1.2206663847485155, + "fos_yielding": 6.375377140414793, + "deflection": 0.014007826866243446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.183)" + }, + "parent_node_id": "node_1273", + "improvement_over_parent": null + }, + "node_1275": { + "node_id": "node_1275", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 249.44 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.44191501815985, + "fos_buckling": 1.437961741513556, + "fos_yielding": 7.760912575194222, + "deflection": 0.01156998952589642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1274", + "improvement_over_parent": null + }, + "node_1276": { + "node_id": "node_1276", + "content": "MODIFICATION: Increase 15 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.44336214399397, + "fos_buckling": 1.534330007582311, + "fos_yielding": 7.7427394865668955, + "deflection": 0.011488662056108578, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.211)" + }, + "parent_node_id": "node_1275", + "improvement_over_parent": null + }, + "node_1277": { + "node_id": "node_1277", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1276", + "improvement_over_parent": null + }, + "node_1278": { + "node_id": "node_1278", + "content": "INITIAL DESIGN (Trace 183)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 218.26 kg\n Factor of Safety: 0.50\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.26438973358404, + "fos_buckling": 0.4984323696719166, + "fos_yielding": 5.8384490594676315, + "deflection": 0.014399723618775192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1279": { + "node_id": "node_1279", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 236.88 kg\n Factor of Safety: 1.46\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.87991578995135, + "fos_buckling": 1.464365184659589, + "fos_yielding": 7.559945203994645, + "deflection": 0.01239337426444776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_1278", + "improvement_over_parent": null + }, + "node_1280": { + "node_id": "node_1280", + "content": "MODIFICATION: Increase 12 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.45 kg\n Factor of Safety: 1.54\n Max Deflection: 1.23e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 241.44679147636433, + "fos_buckling": 1.5405984346814015, + "fos_yielding": 7.326595816180724, + "deflection": 0.012294412830262858, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.414)" + }, + "parent_node_id": "node_1279", + "improvement_over_parent": null + }, + "node_1281": { + "node_id": "node_1281", + "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.95 kg\n Factor of Safety: 1.49\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.94734763408076, + "fos_buckling": 1.4908096113384706, + "fos_yielding": 7.9661419449831135, + "deflection": 0.011626130602014853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.550)" + }, + "parent_node_id": "node_1280", + "improvement_over_parent": null + }, + "node_1282": { + "node_id": "node_1282", + "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47241600771378, + "fos_buckling": 1.5344509189284141, + "fos_yielding": 7.745028169390854, + "deflection": 0.011486887119541376, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.196)" + }, + "parent_node_id": "node_1281", + "improvement_over_parent": null + }, + "node_1283": { + "node_id": "node_1283", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1282", + "improvement_over_parent": null + }, + "node_1284": { + "node_id": "node_1284", + "content": "INITIAL DESIGN (Trace 184)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 181.97 kg\n Factor of Safety: 0.70\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.96998747747173, + "fos_buckling": 0.6992997580650941, + "fos_yielding": 3.9611958148268402, + "deflection": 0.017345124779392956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1285": { + "node_id": "node_1285", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 188.08 kg\n Factor of Safety: 0.70\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.0786591597638, + "fos_buckling": 0.6988913537792962, + "fos_yielding": 3.9921549994415524, + "deflection": 0.016518419266827823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.562)" + }, + "parent_node_id": "node_1284", + "improvement_over_parent": null + }, + "node_1286": { + "node_id": "node_1286", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n Mass: 199.73 kg\n Factor of Safety: 1.27\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.7272717576995, + "fos_buckling": 1.2661151928060714, + "fos_yielding": 6.122938250807188, + "deflection": 0.014433451982559188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004833)" + }, + "parent_node_id": "node_1285", + "improvement_over_parent": null + }, + "node_1287": { + "node_id": "node_1287", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.48774873669717, + "fos_buckling": 1.5345660158412944, + "fos_yielding": 7.74505511808793, + "deflection": 0.01148624235675243, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1286", + "improvement_over_parent": null + }, + "node_1288": { + "node_id": "node_1288", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1287", + "improvement_over_parent": null + }, + "node_1289": { + "node_id": "node_1289", + "content": "INITIAL DESIGN (Trace 185)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 193.69 kg\n Factor of Safety: 1.26\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.6930693928032, + "fos_buckling": 1.255117529838089, + "fos_yielding": 5.808334764904092, + "deflection": 0.01523121451344241, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1290": { + "node_id": "node_1290", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 215.55 kg\n Factor of Safety: 1.37\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.54578058466709, + "fos_buckling": 1.372196939831355, + "fos_yielding": 6.465590018097345, + "deflection": 0.013717741643441571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_1289", + "improvement_over_parent": null + }, + "node_1291": { + "node_id": "node_1291", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 247.00 kg\n Factor of Safety: 1.53\n Max Deflection: 1.20e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 246.99848439224382, + "fos_buckling": 1.532202694992374, + "fos_yielding": 7.412403617324063, + "deflection": 0.012009333369467773, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_1290", + "improvement_over_parent": null + }, + "node_1292": { + "node_id": "node_1292", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46139999912867, + "fos_buckling": 1.5344761461593348, + "fos_yielding": 7.744282987898466, + "deflection": 0.011487206492434758, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.290)" + }, + "parent_node_id": "node_1291", + "improvement_over_parent": null + }, + "node_1293": { + "node_id": "node_1293", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1292", + "improvement_over_parent": null + }, + "node_1294": { + "node_id": "node_1294", + "content": "INITIAL DESIGN (Trace 186)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 159.58 kg\n Factor of Safety: 0.62\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.5811611590373, + "fos_buckling": 0.6225465748547195, + "fos_yielding": 3.892969505749661, + "deflection": 0.019146228730435418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1295": { + "node_id": "node_1295", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 205.88 kg\n Factor of Safety: 0.77\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.88077975508295, + "fos_buckling": 0.7689531075468893, + "fos_yielding": 4.966038522621603, + "deflection": 0.014926709790539078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_1294", + "improvement_over_parent": null + }, + "node_1296": { + "node_id": "node_1296", + "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 211.07 kg\n Factor of Safety: 0.77\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.06515889181736, + "fos_buckling": 0.7678145926857055, + "fos_yielding": 4.460833726464356, + "deflection": 0.014762299515150549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.486)" + }, + "parent_node_id": "node_1295", + "improvement_over_parent": null + }, + "node_1297": { + "node_id": "node_1297", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n Mass: 224.13 kg\n Factor of Safety: 1.39\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.13126743496483, + "fos_buckling": 1.3936834334059958, + "fos_yielding": 6.873186755957138, + "deflection": 0.012897941839068056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005471)" + }, + "parent_node_id": "node_1296", + "improvement_over_parent": null + }, + "node_1298": { + "node_id": "node_1298", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.48423969425576, + "fos_buckling": 1.5345967213629736, + "fos_yielding": 7.745158939464503, + "deflection": 0.011486550284262478, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_1297", + "improvement_over_parent": null + }, + "node_1299": { + "node_id": "node_1299", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1298", + "improvement_over_parent": null + }, + "node_1300": { + "node_id": "node_1300", + "content": "INITIAL DESIGN (Trace 187)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 129.53 kg\n Factor of Safety: 0.26\n Max Deflection: 2.84e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.52527615838756, + "fos_buckling": 0.26195841474331905, + "fos_yielding": 2.5642803468444932, + "deflection": 0.028392532108609342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1301": { + "node_id": "node_1301", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 142.02 kg\n Factor of Safety: 0.26\n Max Deflection: 2.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.0223953802597, + "fos_buckling": 0.2616347702009673, + "fos_yielding": 2.561112228194328, + "deflection": 0.023159586416273338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004474)" + }, + "parent_node_id": "node_1300", + "improvement_over_parent": null + }, + "node_1302": { + "node_id": "node_1302", + "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0038)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n\nPerformance:\n Mass: 142.80 kg\n Factor of Safety: 0.26\n Max Deflection: 2.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.80319255013515, + "fos_buckling": 0.2616347702009673, + "fos_yielding": 2.561112228194328, + "deflection": 0.02304925622340766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.621)" + }, + "parent_node_id": "node_1301", + "improvement_over_parent": null + }, + "node_1303": { + "node_id": "node_1303", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0038)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n\nPerformance:\n Mass: 153.62 kg\n Factor of Safety: 0.65\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.61561123984893, + "fos_buckling": 0.6488610523419612, + "fos_yielding": 4.390500264610633, + "deflection": 0.01850614100723177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004005)" + }, + "parent_node_id": "node_1302", + "improvement_over_parent": null + }, + "node_1304": { + "node_id": "node_1304", + "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0038)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0016)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0070)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n\nPerformance:\n Mass: 160.78 kg\n Factor of Safety: 0.66\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.78193027861087, + "fos_buckling": 0.6568938174659105, + "fos_yielding": 4.377069776265027, + "deflection": 0.018163473778127152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.653)" + }, + "parent_node_id": "node_1303", + "improvement_over_parent": null + }, + "node_1305": { + "node_id": "node_1305", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0020)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0087)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n Mass: 197.16 kg\n Factor of Safety: 0.80\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.15607199896615, + "fos_buckling": 0.8015859987979339, + "fos_yielding": 5.38132417547608, + "deflection": 0.01485460598551856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_1304", + "improvement_over_parent": null + }, + "node_1306": { + "node_id": "node_1306", + "content": "MODIFICATION: Increase 13 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0047)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0020)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0138)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n Mass: 208.31 kg\n Factor of Safety: 0.81\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.31007725273759, + "fos_buckling": 0.8081735651339089, + "fos_yielding": 5.371715710703449, + "deflection": 0.014687184145600064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.590)" + }, + "parent_node_id": "node_1305", + "improvement_over_parent": null + }, + "node_1307": { + "node_id": "node_1307", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0060)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0026)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0177)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 260.23 kg\n Factor of Safety: 1.01\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.2318009128033, + "fos_buckling": 1.0074414476471676, + "fos_yielding": 6.769594057101033, + "deflection": 0.011752832027537883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1306", + "improvement_over_parent": null + }, + "node_1308": { + "node_id": "node_1308", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1307", + "improvement_over_parent": null + }, + "node_1309": { + "node_id": "node_1309", + "content": "INITIAL DESIGN (Trace 188)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 125.42 kg\n Factor of Safety: 0.06\n Max Deflection: 4.02e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.41799670739613, + "fos_buckling": 0.05636271263829691, + "fos_yielding": 0.8474577543759946, + "deflection": 40151711944857.47, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1310": { + "node_id": "node_1310", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 143.72 kg\n Factor of Safety: 0.26\n Max Deflection: 7.44e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.7193014793198, + "fos_buckling": 0.26280865576961826, + "fos_yielding": 1.632005359118354, + "deflection": 74390516681724.34, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_1309", + "improvement_over_parent": null + }, + "node_1311": { + "node_id": "node_1311", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n\nPerformance:\n Mass: 156.62 kg\n Factor of Safety: 0.33\n Max Deflection: 2.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.62077007556894, + "fos_buckling": 0.3276522963581486, + "fos_yielding": 4.082762339292277, + "deflection": 0.023150534920614908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004834)" + }, + "parent_node_id": "node_1310", + "improvement_over_parent": null + }, + "node_1312": { + "node_id": "node_1312", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n Mass: 171.21 kg\n Factor of Safety: 0.74\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.20787129628619, + "fos_buckling": 0.7421162080527156, + "fos_yielding": 5.301443607167446, + "deflection": 0.019946286020509685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005140)" + }, + "parent_node_id": "node_1311", + "improvement_over_parent": null + }, + "node_1313": { + "node_id": "node_1313", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n Mass: 177.29 kg\n Factor of Safety: 0.74\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.29169654314123, + "fos_buckling": 0.7414572154287503, + "fos_yielding": 5.296735972169609, + "deflection": 0.018934469106969182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.488)" + }, + "parent_node_id": "node_1312", + "improvement_over_parent": null + }, + "node_1314": { + "node_id": "node_1314", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 229.14 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.141674255029, + "fos_buckling": 0.9159436238290162, + "fos_yielding": 6.810116475157372, + "deflection": 0.0147367782330335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_1313", + "improvement_over_parent": null + }, + "node_1315": { + "node_id": "node_1315", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.42751385712623, + "fos_buckling": 1.534306203508063, + "fos_yielding": 7.742096986297927, + "deflection": 0.011489576079752106, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_1314", + "improvement_over_parent": null + }, + "node_1316": { + "node_id": "node_1316", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1315", + "improvement_over_parent": null + }, + "node_1317": { + "node_id": "node_1317", + "content": "INITIAL DESIGN (Trace 189)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 191.51 kg\n Factor of Safety: 0.29\n Max Deflection: 5.38e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.50902775286804, + "fos_buckling": 0.2942425160648998, + "fos_yielding": 1.6949155087519892, + "deflection": 53845875493027.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1318": { + "node_id": "node_1318", + "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 192.06 kg\n Factor of Safety: 0.29\n Max Deflection: 5.38e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.05963291515613, + "fos_buckling": 0.2942425160648998, + "fos_yielding": 1.6949155087519892, + "deflection": 53845875493027.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.555)" + }, + "parent_node_id": "node_1317", + "improvement_over_parent": null + }, + "node_1319": { + "node_id": "node_1319", + "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 197.73 kg\n Factor of Safety: 0.09\n Max Deflection: 6.79e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.73011365333642, + "fos_buckling": 0.09451216535691528, + "fos_yielding": 0.4237288771879973, + "deflection": 67867964571674.7, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.565)" + }, + "parent_node_id": "node_1318", + "improvement_over_parent": null + }, + "node_1320": { + "node_id": "node_1320", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 199.78 kg\n Factor of Safety: 0.20\n Max Deflection: 4.95e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.78175936836814, + "fos_buckling": 0.19919427437565068, + "fos_yielding": 0.8474577543759946, + "deflection": 49534186901766.195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003213)" + }, + "parent_node_id": "node_1319", + "improvement_over_parent": null + }, + "node_1321": { + "node_id": "node_1321", + "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 207.29 kg\n Factor of Safety: 0.11\n Max Deflection: 5.36e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.28940686305626, + "fos_buckling": 0.10648827331739273, + "fos_yielding": 1.6949155087519892, + "deflection": 53577882608701.62, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.488)" + }, + "parent_node_id": "node_1320", + "improvement_over_parent": null + }, + "node_1322": { + "node_id": "node_1322", + "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 207.45 kg\n Factor of Safety: 0.24\n Max Deflection: 9.16e+13 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.45400572035925, + "fos_buckling": 0.2405385668664576, + "fos_yielding": 0.4237288771879973, + "deflection": 91589729987910.12, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.264)" + }, + "parent_node_id": "node_1321", + "improvement_over_parent": null + }, + "node_1323": { + "node_id": "node_1323", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 234.59 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.5925292887417, + "fos_buckling": 0.9162649555895952, + "fos_yielding": 6.81316319926013, + "deflection": 0.014806326700459768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_1322", + "improvement_over_parent": null + }, + "node_1324": { + "node_id": "node_1324", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 253.86 kg\n Factor of Safety: 1.25\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.85877010964902, + "fos_buckling": 1.252276238880511, + "fos_yielding": 6.105160384794438, + "deflection": 0.011654028139135712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1323", + "improvement_over_parent": null + }, + "node_1325": { + "node_id": "node_1325", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1324", + "improvement_over_parent": null + }, + "node_1326": { + "node_id": "node_1326", + "content": "INITIAL DESIGN (Trace 190)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 151.63 kg\n Factor of Safety: 0.53\n Max Deflection: 2.70e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.63262700312742, + "fos_buckling": 0.5316335585941246, + "fos_yielding": 2.7774231738924837, + "deflection": 0.02699641425067299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1327": { + "node_id": "node_1327", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 177.73 kg\n Factor of Safety: 0.61\n Max Deflection: 2.31e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.72898780121935, + "fos_buckling": 0.6077072606635515, + "fos_yielding": 3.2639827336347174, + "deflection": 0.023086294638177386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_1326", + "improvement_over_parent": null + }, + "node_1328": { + "node_id": "node_1328", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n\nPerformance:\n Mass: 192.26 kg\n Factor of Safety: 0.61\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.26196634660909, + "fos_buckling": 0.6064199142363436, + "fos_yielding": 3.392222554505548, + "deflection": 0.021738209392714047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005496)" + }, + "parent_node_id": "node_1327", + "improvement_over_parent": null + }, + "node_1329": { + "node_id": "node_1329", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n\nPerformance:\n Mass: 196.21 kg\n Factor of Safety: 0.61\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.2124175225374, + "fos_buckling": 0.6060709213933779, + "fos_yielding": 3.390281354724585, + "deflection": 0.02124123104331107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.227)" + }, + "parent_node_id": "node_1328", + "improvement_over_parent": null + }, + "node_1330": { + "node_id": "node_1330", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n Mass: 219.87 kg\n Factor of Safety: 1.37\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.87442694359638, + "fos_buckling": 1.3727867099244464, + "fos_yielding": 6.7165565000155185, + "deflection": 0.013132324822547363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007013)" + }, + "parent_node_id": "node_1329", + "improvement_over_parent": null + }, + "node_1331": { + "node_id": "node_1331", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.10 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.1001653687901, + "fos_buckling": 1.5337236045482112, + "fos_yielding": 7.704058165430395, + "deflection": 0.011495757313528235, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1330", + "improvement_over_parent": null + }, + "node_1332": { + "node_id": "node_1332", + "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35172468709396, + "fos_buckling": 1.5340529681896256, + "fos_yielding": 7.740757682330876, + "deflection": 0.01149215180006445, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.610)" + }, + "parent_node_id": "node_1331", + "improvement_over_parent": null + }, + "node_1333": { + "node_id": "node_1333", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1332", + "improvement_over_parent": null + }, + "node_1334": { + "node_id": "node_1334", + "content": "INITIAL DESIGN (Trace 191)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 162.80 kg\n Factor of Safety: 0.83\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.8017403112288, + "fos_buckling": 0.8297958101976209, + "fos_yielding": 4.7153786867906975, + "deflection": 0.018088499437623765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1335": { + "node_id": "node_1335", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 186.41 kg\n Factor of Safety: 0.94\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.41405867533223, + "fos_buckling": 0.939913121240419, + "fos_yielding": 5.402860248209439, + "deflection": 0.015835411691812816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1334", + "improvement_over_parent": null + }, + "node_1336": { + "node_id": "node_1336", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 243.13 kg\n Factor of Safety: 1.19\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.12502946237288, + "fos_buckling": 1.193822205219606, + "fos_yielding": 7.058314964028596, + "deflection": 0.012211350087763152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_1335", + "improvement_over_parent": null + }, + "node_1337": { + "node_id": "node_1337", + "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.42156878195726, + "fos_buckling": 1.5337286285395175, + "fos_yielding": 7.74232023329075, + "deflection": 0.01148947825137777, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.572)" + }, + "parent_node_id": "node_1336", + "improvement_over_parent": null + }, + "node_1338": { + "node_id": "node_1338", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1337", + "improvement_over_parent": null + }, + "node_1339": { + "node_id": "node_1339", + "content": "INITIAL DESIGN (Trace 192)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 130.31 kg\n Factor of Safety: 0.56\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.31343144863376, + "fos_buckling": 0.5574232040783048, + "fos_yielding": 3.240792858470862, + "deflection": 0.024023678544518878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1340": { + "node_id": "node_1340", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 152.60 kg\n Factor of Safety: 0.64\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.60246642426878, + "fos_buckling": 0.6388585805258165, + "fos_yielding": 3.79592171773929, + "deflection": 0.020564132518608884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_1339", + "improvement_over_parent": null + }, + "node_1341": { + "node_id": "node_1341", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n\nPerformance:\n Mass: 165.93 kg\n Factor of Safety: 0.64\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.9293057333688, + "fos_buckling": 0.636406492533803, + "fos_yielding": 3.602383434439333, + "deflection": 0.018430261752065046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004667)" + }, + "parent_node_id": "node_1340", + "improvement_over_parent": null + }, + "node_1342": { + "node_id": "node_1342", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 198.52 kg\n Factor of Safety: 0.74\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.51524350742346, + "fos_buckling": 0.7387703802903337, + "fos_yielding": 4.289324840543832, + "deflection": 0.01546788926232983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1341", + "improvement_over_parent": null + }, + "node_1343": { + "node_id": "node_1343", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 234.66 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.66314169924726, + "fos_buckling": 0.844013903632642, + "fos_yielding": 5.04374643183602, + "deflection": 0.013144239227515316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1342", + "improvement_over_parent": null + }, + "node_1344": { + "node_id": "node_1344", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4546173876517, + "fos_buckling": 1.534462287336996, + "fos_yielding": 7.74388589353331, + "deflection": 0.011487836516956746, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_1343", + "improvement_over_parent": null + }, + "node_1345": { + "node_id": "node_1345", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1344", + "improvement_over_parent": null + }, + "node_1346": { + "node_id": "node_1346", + "content": "INITIAL DESIGN (Trace 193)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 222.30 kg\n Factor of Safety: 0.30\n Max Deflection: 5.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.30065639793867, + "fos_buckling": 0.2996360040377997, + "fos_yielding": 1.1659674895923793, + "deflection": 0.05285669619877409, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1347": { + "node_id": "node_1347", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 222.79 kg\n Factor of Safety: 0.30\n Max Deflection: 5.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.78814321755107, + "fos_buckling": 0.2996360040377999, + "fos_yielding": 1.1659674895923793, + "deflection": 0.0525186699627309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.326)" + }, + "parent_node_id": "node_1346", + "improvement_over_parent": null + }, + "node_1348": { + "node_id": "node_1348", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 225.33 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.3341353786132, + "fos_buckling": 0.6775490203067843, + "fos_yielding": 3.8751380422130275, + "deflection": 0.018567459496429267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_1347", + "improvement_over_parent": null + }, + "node_1349": { + "node_id": "node_1349", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47265894699567, + "fos_buckling": 1.5345129750696223, + "fos_yielding": 7.743853865704763, + "deflection": 0.011486985392814193, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_1348", + "improvement_over_parent": null + }, + "node_1350": { + "node_id": "node_1350", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1349", + "improvement_over_parent": null + }, + "node_1351": { + "node_id": "node_1351", + "content": "INITIAL DESIGN (Trace 194)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 166.81 kg\n Factor of Safety: 0.58\n Max Deflection: 2.30e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.8100332199739, + "fos_buckling": 0.5789354161550232, + "fos_yielding": 3.2815267018629934, + "deflection": 0.023046864865503055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1352": { + "node_id": "node_1352", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 197.11 kg\n Factor of Safety: 0.67\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.11163431773403, + "fos_buckling": 0.6694478906863507, + "fos_yielding": 3.8744078008918517, + "deflection": 0.01955544629900928, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1351", + "improvement_over_parent": null + }, + "node_1353": { + "node_id": "node_1353", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 199.17 kg\n Factor of Safety: 1.26\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.17099317141742, + "fos_buckling": 1.2563418812770597, + "fos_yielding": 6.292864275775667, + "deflection": 0.014335294296167974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003226)" + }, + "parent_node_id": "node_1352", + "improvement_over_parent": null + }, + "node_1354": { + "node_id": "node_1354", + "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 201.89 kg\n Factor of Safety: 1.21\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.8915949803424, + "fos_buckling": 1.2077031379104821, + "fos_yielding": 6.27505455393984, + "deflection": 0.014217283615830708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.300)" + }, + "parent_node_id": "node_1353", + "improvement_over_parent": null + }, + "node_1355": { + "node_id": "node_1355", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 249.57 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.56732157956364, + "fos_buckling": 1.4415243202775303, + "fos_yielding": 7.759323660614727, + "deflection": 0.011565260692130826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_1354", + "improvement_over_parent": null + }, + "node_1356": { + "node_id": "node_1356", + "content": "MODIFICATION: Increase 15 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0049)]\n\nPerformance:\n Mass: 250.03 kg\n Factor of Safety: 1.44\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.0319502460617, + "fos_buckling": 1.439248209913419, + "fos_yielding": 9.058937153063088, + "deflection": 0.011511399764239668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.205)" + }, + "parent_node_id": "node_1355", + "improvement_over_parent": null + }, + "node_1357": { + "node_id": "node_1357", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1356", + "improvement_over_parent": null + }, + "node_1358": { + "node_id": "node_1358", + "content": "INITIAL DESIGN (Trace 195)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 158.24 kg\n Factor of Safety: 0.93\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.23742135777388, + "fos_buckling": 0.9345464108512795, + "fos_yielding": 4.48186453703024, + "deflection": 0.018206022182562977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1359": { + "node_id": "node_1359", + "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 158.61 kg\n Factor of Safety: 1.02\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.60965635193656, + "fos_buckling": 1.0226127663896465, + "fos_yielding": 4.676314799469158, + "deflection": 0.018095922793056943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.406)" + }, + "parent_node_id": "node_1358", + "improvement_over_parent": null + }, + "node_1360": { + "node_id": "node_1360", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n\nPerformance:\n Mass: 159.05 kg\n Factor of Safety: 1.04\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.05337004871475, + "fos_buckling": 1.0406510725829439, + "fos_yielding": 4.873840746623869, + "deflection": 0.01804040019738951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001300)" + }, + "parent_node_id": "node_1359", + "improvement_over_parent": null + }, + "node_1361": { + "node_id": "node_1361", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 202.73 kg\n Factor of Safety: 1.28\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.7293813086882, + "fos_buckling": 1.2821477161911266, + "fos_yielding": 6.2152919144333465, + "deflection": 0.014224750696314863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1360", + "improvement_over_parent": null + }, + "node_1362": { + "node_id": "node_1362", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.40 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.40129768300827, + "fos_buckling": 1.5341837909095433, + "fos_yielding": 7.742524803385366, + "deflection": 0.011490188932182626, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1361", + "improvement_over_parent": null + }, + "node_1363": { + "node_id": "node_1363", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1362", + "improvement_over_parent": null + }, + "node_1364": { + "node_id": "node_1364", + "content": "INITIAL DESIGN (Trace 196)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 207.79 kg\n Factor of Safety: 0.70\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.79485191623226, + "fos_buckling": 0.7042501050109625, + "fos_yielding": 4.755541524784215, + "deflection": 0.015720879697314765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1365": { + "node_id": "node_1365", + "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 208.24 kg\n Factor of Safety: 0.70\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.2407363199287, + "fos_buckling": 0.7042501050109625, + "fos_yielding": 4.755541524784215, + "deflection": 0.015720879697314765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.410)" + }, + "parent_node_id": "node_1364", + "improvement_over_parent": null + }, + "node_1366": { + "node_id": "node_1366", + "content": "MODIFICATION: Increase 7 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 209.16 kg\n Factor of Safety: 0.70\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.15918540837353, + "fos_buckling": 0.704126639234166, + "fos_yielding": 5.549203153073304, + "deflection": 0.015499193092781116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.618)" + }, + "parent_node_id": "node_1365", + "improvement_over_parent": null + }, + "node_1367": { + "node_id": "node_1367", + "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 214.23 kg\n Factor of Safety: 0.70\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.22544508715515, + "fos_buckling": 0.7031067229136352, + "fos_yielding": 5.121987521697187, + "deflection": 0.015383138200750861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.403)" + }, + "parent_node_id": "node_1366", + "improvement_over_parent": null + }, + "node_1368": { + "node_id": "node_1368", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 232.02 kg\n Factor of Safety: 1.15\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.01692077555958, + "fos_buckling": 1.149329436148165, + "fos_yielding": 6.701276471084008, + "deflection": 0.013447040518086739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_1367", + "improvement_over_parent": null + }, + "node_1369": { + "node_id": "node_1369", + "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n\nPerformance:\n Mass: 236.36 kg\n Factor of Safety: 1.15\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.3577404758021, + "fos_buckling": 1.1509626421923316, + "fos_yielding": 6.687130668968831, + "deflection": 0.013364373022496413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.276)" + }, + "parent_node_id": "node_1368", + "improvement_over_parent": null + }, + "node_1370": { + "node_id": "node_1370", + "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n\nPerformance:\n Mass: 245.17 kg\n Factor of Safety: 1.24\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.17219424269538, + "fos_buckling": 1.2375034404372822, + "fos_yielding": 7.750032274489055, + "deflection": 0.012262413012844024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.558)" + }, + "parent_node_id": "node_1369", + "improvement_over_parent": null + }, + "node_1371": { + "node_id": "node_1371", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n\nPerformance:\n Mass: 253.11 kg\n Factor of Safety: 1.46\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.10647397463816, + "fos_buckling": 1.4610240174865001, + "fos_yielding": 7.79189463509567, + "deflection": 0.011506343140612649, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.506)" + }, + "parent_node_id": "node_1370", + "improvement_over_parent": null + }, + "node_1372": { + "node_id": "node_1372", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1371", + "improvement_over_parent": null + }, + "node_1373": { + "node_id": "node_1373", + "content": "INITIAL DESIGN (Trace 197)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 212.20 kg\n Factor of Safety: 0.92\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.19643052230583, + "fos_buckling": 0.9181584738338703, + "fos_yielding": 6.826932263995692, + "deflection": 0.015884314296439543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1374": { + "node_id": "node_1374", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 212.60 kg\n Factor of Safety: 0.92\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.59519810493083, + "fos_buckling": 0.9181584738338703, + "fos_yielding": 6.826932263995692, + "deflection": 0.015884314296439543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.253)" + }, + "parent_node_id": "node_1373", + "improvement_over_parent": null + }, + "node_1375": { + "node_id": "node_1375", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 222.00 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.0005707219563, + "fos_buckling": 0.9169035729589583, + "fos_yielding": 6.817601496470033, + "deflection": 0.014820679223770472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.616)" + }, + "parent_node_id": "node_1374", + "improvement_over_parent": null + }, + "node_1376": { + "node_id": "node_1376", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 241.27 kg\n Factor of Safety: 1.43\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.26681154286362, + "fos_buckling": 1.4285060409645864, + "fos_yielding": 8.535003449834765, + "deflection": 0.01193327772309743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1375", + "improvement_over_parent": null + }, + "node_1377": { + "node_id": "node_1377", + "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0085)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 245.59 kg\n Factor of Safety: 1.43\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.58959513844988, + "fos_buckling": 1.4289128681244743, + "fos_yielding": 8.743636647613963, + "deflection": 0.01183473087860731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.259)" + }, + "parent_node_id": "node_1376", + "improvement_over_parent": null + }, + "node_1378": { + "node_id": "node_1378", + "content": "MODIFICATION: Increase 11 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0078)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0085)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.11 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.11337770026213, + "fos_buckling": 1.4254132225049543, + "fos_yielding": 8.387231293085904, + "deflection": 0.011733955262263547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.543)" + }, + "parent_node_id": "node_1377", + "improvement_over_parent": null + }, + "node_1379": { + "node_id": "node_1379", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0102)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0078)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0085)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 258.31 kg\n Factor of Safety: 1.50\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.31458164830843, + "fos_buckling": 1.500840024742363, + "fos_yielding": 8.74570903526472, + "deflection": 0.011390914774292918, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.258)" + }, + "parent_node_id": "node_1378", + "improvement_over_parent": null + }, + "node_1380": { + "node_id": "node_1380", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1379", + "improvement_over_parent": null + }, + "node_1381": { + "node_id": "node_1381", + "content": "INITIAL DESIGN (Trace 198)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 158.76 kg\n Factor of Safety: 0.36\n Max Deflection: 3.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.76039446945282, + "fos_buckling": 0.35857414441775043, + "fos_yielding": 2.7172102902936452, + "deflection": 0.03015764902109162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1382": { + "node_id": "node_1382", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 164.06 kg\n Factor of Safety: 0.36\n Max Deflection: 2.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.0607158117634, + "fos_buckling": 0.358385225839032, + "fos_yielding": 2.7172102902936377, + "deflection": 0.02802387459383872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.391)" + }, + "parent_node_id": "node_1381", + "improvement_over_parent": null + }, + "node_1383": { + "node_id": "node_1383", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 169.21 kg\n Factor of Safety: 0.36\n Max Deflection: 2.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.20612410024654, + "fos_buckling": 0.3578361670748883, + "fos_yielding": 2.715829890651632, + "deflection": 0.025820157305101857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.460)" + }, + "parent_node_id": "node_1382", + "improvement_over_parent": null + }, + "node_1384": { + "node_id": "node_1384", + "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 173.72 kg\n Factor of Safety: 0.36\n Max Deflection: 2.48e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.7231130983179, + "fos_buckling": 0.35735555082138293, + "fos_yielding": 2.7146192376006764, + "deflection": 0.02476013333058481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.287)" + }, + "parent_node_id": "node_1383", + "improvement_over_parent": null + }, + "node_1385": { + "node_id": "node_1385", + "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 176.86 kg\n Factor of Safety: 0.36\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.85909164387832, + "fos_buckling": 0.35702263531663647, + "fos_yielding": 2.714619237600684, + "deflection": 0.02419626577738591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.304)" + }, + "parent_node_id": "node_1384", + "improvement_over_parent": null + }, + "node_1386": { + "node_id": "node_1386", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 206.33 kg\n Factor of Safety: 0.41\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.32549495963661, + "fos_buckling": 0.40601929155585603, + "fos_yielding": 3.1648110870730926, + "deflection": 0.02079815545467123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_1385", + "improvement_over_parent": null + }, + "node_1387": { + "node_id": "node_1387", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 225.17 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.17354297494882, + "fos_buckling": 0.6770984904723072, + "fos_yielding": 3.871518820423146, + "deflection": 0.01858197166563967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_1386", + "improvement_over_parent": null + }, + "node_1388": { + "node_id": "node_1388", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.31206654333127, + "fos_buckling": 1.534234120901025, + "fos_yielding": 7.739597934093399, + "deflection": 0.01149405724546432, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_1387", + "improvement_over_parent": null + }, + "node_1389": { + "node_id": "node_1389", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1388", + "improvement_over_parent": null + }, + "node_1390": { + "node_id": "node_1390", + "content": "INITIAL DESIGN (Trace 199)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n Mass: 185.84 kg\n Factor of Safety: 0.38\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.84205294152213, + "fos_buckling": 0.3750470712909221, + "fos_yielding": 4.747162511721851, + "deflection": 0.017428150517096685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1391": { + "node_id": "node_1391", + "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n Mass: 188.41 kg\n Factor of Safety: 0.38\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.41324642762717, + "fos_buckling": 0.375155801799509, + "fos_yielding": 4.74137376817684, + "deflection": 0.01670282780569282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.235)" + }, + "parent_node_id": "node_1390", + "improvement_over_parent": null + }, + "node_1392": { + "node_id": "node_1392", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 203.41 kg\n Factor of Safety: 1.29\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.41245592868944, + "fos_buckling": 1.2858178059553853, + "fos_yielding": 6.236113324063842, + "deflection": 0.014177924512649527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005334)" + }, + "parent_node_id": "node_1391", + "improvement_over_parent": null + }, + "node_1393": { + "node_id": "node_1393", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.33 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.32571702258832, + "fos_buckling": 1.5338669489560086, + "fos_yielding": 7.7399926382404844, + "deflection": 0.011493401102105585, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1392", + "improvement_over_parent": null + }, + "node_1394": { + "node_id": "node_1394", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1393", + "improvement_over_parent": null + }, + "node_1395": { + "node_id": "node_1395", + "content": "INITIAL DESIGN (Trace 200)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 242.05 kg\n Factor of Safety: 0.78\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.05326455915196, + "fos_buckling": 0.7765118495108992, + "fos_yielding": 4.035994418040044, + "deflection": 0.016636968480791242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1396": { + "node_id": "node_1396", + "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 245.69 kg\n Factor of Safety: 0.78\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.68765710315705, + "fos_buckling": 0.7750430567626931, + "fos_yielding": 4.218305430517885, + "deflection": 0.01651879688852194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.282)" + }, + "parent_node_id": "node_1395", + "improvement_over_parent": null + }, + "node_1397": { + "node_id": "node_1397", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.92 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.91913285917025, + "fos_buckling": 0.8024406350428133, + "fos_yielding": 4.471284996080757, + "deflection": 0.015748481250558635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.255)" + }, + "parent_node_id": "node_1396", + "improvement_over_parent": null + }, + "node_1398": { + "node_id": "node_1398", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4651250202324, + "fos_buckling": 1.534558212207607, + "fos_yielding": 7.743926765330727, + "deflection": 0.011487109895700346, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_1397", + "improvement_over_parent": null + }, + "node_1399": { + "node_id": "node_1399", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1398", + "improvement_over_parent": null + }, + "node_1400": { + "node_id": "node_1400", + "content": "INITIAL DESIGN (Trace 201)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 181.11 kg\n Factor of Safety: 0.74\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.10872360273464, + "fos_buckling": 0.7350859738987617, + "fos_yielding": 2.872090769243972, + "deflection": 0.01829503039011692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1401": { + "node_id": "node_1401", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 195.99 kg\n Factor of Safety: 0.87\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.98752373965203, + "fos_buckling": 0.8694799994958831, + "fos_yielding": 5.2545397598639365, + "deflection": 0.016161228125715455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005428)" + }, + "parent_node_id": "node_1400", + "improvement_over_parent": null + }, + "node_1402": { + "node_id": "node_1402", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 234.56 kg\n Factor of Safety: 1.03\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.55638297636008, + "fos_buckling": 1.0250519078683407, + "fos_yielding": 6.294894557146606, + "deflection": 0.01353776586348327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1401", + "improvement_over_parent": null + }, + "node_1403": { + "node_id": "node_1403", + "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 237.98 kg\n Factor of Safety: 1.19\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.98070337977705, + "fos_buckling": 1.190138445188282, + "fos_yielding": 7.372239088424901, + "deflection": 0.01296228772709433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.255)" + }, + "parent_node_id": "node_1402", + "improvement_over_parent": null + }, + "node_1404": { + "node_id": "node_1404", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 245.41 kg\n Factor of Safety: 1.52\n Max Deflection: 1.22e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 245.40593097329963, + "fos_buckling": 1.5171196014417583, + "fos_yielding": 7.299793368657309, + "deflection": 0.012186219167402748, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.460)" + }, + "parent_node_id": "node_1403", + "improvement_over_parent": null + }, + "node_1405": { + "node_id": "node_1405", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 245.58 kg\n Factor of Safety: 1.52\n Max Deflection: 1.22e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 245.58127924500945, + "fos_buckling": 1.518188050113193, + "fos_yielding": 7.30590674959857, + "deflection": 0.01218627790726512, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.364)" + }, + "parent_node_id": "node_1404", + "improvement_over_parent": null + }, + "node_1406": { + "node_id": "node_1406", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47434786742033, + "fos_buckling": 1.53448752895316, + "fos_yielding": 7.743461967853703, + "deflection": 0.011486508506615504, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.393)" + }, + "parent_node_id": "node_1405", + "improvement_over_parent": null + }, + "node_1407": { + "node_id": "node_1407", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1406", + "improvement_over_parent": null + }, + "node_1408": { + "node_id": "node_1408", + "content": "INITIAL DESIGN (Trace 202)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 194.34 kg\n Factor of Safety: 0.35\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.34410792949788, + "fos_buckling": 0.34788987641533015, + "fos_yielding": 4.49494681834351, + "deflection": 0.01605263964801096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1409": { + "node_id": "node_1409", + "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 194.60 kg\n Factor of Safety: 0.35\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.60498314822829, + "fos_buckling": 0.34788987641532965, + "fos_yielding": 4.4752542546524525, + "deflection": 0.01601687546460642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.186)" + }, + "parent_node_id": "node_1408", + "improvement_over_parent": null + }, + "node_1410": { + "node_id": "node_1410", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n Mass: 210.31 kg\n Factor of Safety: 1.32\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.30503169356024, + "fos_buckling": 1.322162450320341, + "fos_yielding": 6.447901773703893, + "deflection": 0.013724147171015087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005563)" + }, + "parent_node_id": "node_1409", + "improvement_over_parent": null + }, + "node_1411": { + "node_id": "node_1411", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.43463375500932, + "fos_buckling": 1.5343776654396613, + "fos_yielding": 7.743310540119814, + "deflection": 0.011488662402057702, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1410", + "improvement_over_parent": null + }, + "node_1412": { + "node_id": "node_1412", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1411", + "improvement_over_parent": null + }, + "node_1413": { + "node_id": "node_1413", + "content": "INITIAL DESIGN (Trace 203)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0042)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0025)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 127.30 kg\n Factor of Safety: 0.75\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.30239671934524, + "fos_buckling": 0.7462090616204304, + "fos_yielding": 3.771419381587121, + "deflection": 0.02248759076539304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1414": { + "node_id": "node_1414", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 141.98 kg\n Factor of Safety: 0.83\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.9786351704903, + "fos_buckling": 0.8266042049870519, + "fos_yielding": 4.207705424451543, + "deflection": 0.020195748350011672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1413", + "improvement_over_parent": null + }, + "node_1415": { + "node_id": "node_1415", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 172.33 kg\n Factor of Safety: 0.99\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.33091172653755, + "fos_buckling": 0.989131971025339, + "fos_yielding": 5.111044351160196, + "deflection": 0.016694395754675136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1414", + "improvement_over_parent": null + }, + "node_1416": { + "node_id": "node_1416", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 210.83 kg\n Factor of Safety: 1.19\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.82847292735778, + "fos_buckling": 1.1879750514628782, + "fos_yielding": 6.258903527217256, + "deflection": 0.013703689099574813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1415", + "improvement_over_parent": null + }, + "node_1417": { + "node_id": "node_1417", + "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 214.46 kg\n Factor of Safety: 1.19\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.46211948983856, + "fos_buckling": 1.1913489341114636, + "fos_yielding": 6.479440421721755, + "deflection": 0.013390463649492848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.198)" + }, + "parent_node_id": "node_1416", + "improvement_over_parent": null + }, + "node_1418": { + "node_id": "node_1418", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 247.70 kg\n Factor of Safety: 1.35\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.70447170853163, + "fos_buckling": 1.354284078005266, + "fos_yielding": 7.488755556514379, + "deflection": 0.011636902471616846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1417", + "improvement_over_parent": null + }, + "node_1419": { + "node_id": "node_1419", + "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.22 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.2180696008467, + "fos_buckling": 1.5336820698237303, + "fos_yielding": 7.737001872028854, + "deflection": 0.011498108105488996, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.346)" + }, + "parent_node_id": "node_1418", + "improvement_over_parent": null + }, + "node_1420": { + "node_id": "node_1420", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1419", + "improvement_over_parent": null + }, + "node_1421": { + "node_id": "node_1421", + "content": "INITIAL DESIGN (Trace 204)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n Mass: 99.39 kg\n Factor of Safety: 0.23\n Max Deflection: 6.28e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.38577823792512, + "fos_buckling": 0.22940369401283423, + "fos_yielding": 0.6078322788625917, + "deflection": 0.06277664421906216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1422": { + "node_id": "node_1422", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 129.85 kg\n Factor of Safety: 0.29\n Max Deflection: 4.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.8519139987583, + "fos_buckling": 0.29177309388159395, + "fos_yielding": 0.7904615191449965, + "deflection": 0.048263217750457325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1421", + "improvement_over_parent": null + }, + "node_1423": { + "node_id": "node_1423", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n\nPerformance:\n Mass: 145.19 kg\n Factor of Safety: 0.56\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.19498810835307, + "fos_buckling": 0.5609418153724558, + "fos_yielding": 3.1058656169001644, + "deflection": 0.021282288709628477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004794)" + }, + "parent_node_id": "node_1422", + "improvement_over_parent": null + }, + "node_1424": { + "node_id": "node_1424", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n\nPerformance:\n Mass: 151.97 kg\n Factor of Safety: 0.89\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.96548340590365, + "fos_buckling": 0.8945086923456954, + "fos_yielding": 4.708604693244582, + "deflection": 0.01876547736791636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002727)" + }, + "parent_node_id": "node_1423", + "improvement_over_parent": null + }, + "node_1425": { + "node_id": "node_1425", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n\nPerformance:\n Mass: 175.27 kg\n Factor of Safety: 1.02\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.26734195540297, + "fos_buckling": 1.016828270983286, + "fos_yielding": 5.431568542982384, + "deflection": 0.016314969526479643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_1424", + "improvement_over_parent": null + }, + "node_1426": { + "node_id": "node_1426", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n\nPerformance:\n Mass: 210.53 kg\n Factor of Safety: 1.19\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.533280469456, + "fos_buckling": 1.1946364868237782, + "fos_yielding": 6.526188176347243, + "deflection": 0.013638009421869815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_1425", + "improvement_over_parent": null + }, + "node_1427": { + "node_id": "node_1427", + "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0046)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n\nPerformance:\n Mass: 211.20 kg\n Factor of Safety: 1.20\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.20361761848625, + "fos_buckling": 1.1976052354788287, + "fos_yielding": 7.93364810455352, + "deflection": 0.01353817961502699, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.346)" + }, + "parent_node_id": "node_1426", + "improvement_over_parent": null + }, + "node_1428": { + "node_id": "node_1428", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0055)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n\nPerformance:\n Mass: 249.69 kg\n Factor of Safety: 1.38\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.68857807092334, + "fos_buckling": 1.3815557301413386, + "fos_yielding": 9.321887488075472, + "deflection": 0.011504013003248497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1427", + "improvement_over_parent": null + }, + "node_1429": { + "node_id": "node_1429", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1428", + "improvement_over_parent": null + }, + "node_1430": { + "node_id": "node_1430", + "content": "INITIAL DESIGN (Trace 205)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.52 kg\n Factor of Safety: 1.37\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.52412227549723, + "fos_buckling": 1.3726376635645716, + "fos_yielding": 7.587612511460261, + "deflection": 0.012262858808826526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1431": { + "node_id": "node_1431", + "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.99 kg\n Factor of Safety: 1.54\n Max Deflection: 1.22e-02 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 241.9910408852366, + "fos_buckling": 1.5352688240729684, + "fos_yielding": 7.594495351446933, + "deflection": 0.012229680991442457, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.437)" + }, + "parent_node_id": "node_1430", + "improvement_over_parent": null + }, + "node_1432": { + "node_id": "node_1432", + "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.23 kg\n Factor of Safety: 1.53\n Max Deflection: 1.21e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 246.23045909281433, + "fos_buckling": 1.526221593929832, + "fos_yielding": 7.354830284301541, + "deflection": 0.012104439550312873, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.374)" + }, + "parent_node_id": "node_1431", + "improvement_over_parent": null + }, + "node_1433": { + "node_id": "node_1433", + "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4991567289877, + "fos_buckling": 1.5345676330732654, + "fos_yielding": 7.7448921969992135, + "deflection": 0.011485515618002392, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.346)" + }, + "parent_node_id": "node_1432", + "improvement_over_parent": null + }, + "node_1434": { + "node_id": "node_1434", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1433", + "improvement_over_parent": null + }, + "node_1435": { + "node_id": "node_1435", + "content": "INITIAL DESIGN (Trace 206)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n Mass: 124.64 kg\n Factor of Safety: 0.37\n Max Deflection: 3.47e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.64069103079044, + "fos_buckling": 0.36526075327497726, + "fos_yielding": 2.245376400459122, + "deflection": 0.0346603629782417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1436": { + "node_id": "node_1436", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n Mass: 138.51 kg\n Factor of Safety: 0.36\n Max Deflection: 3.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.5097124875164, + "fos_buckling": 0.3647747151837621, + "fos_yielding": 2.242388566562506, + "deflection": 0.030867469679271144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004326)" + }, + "parent_node_id": "node_1435", + "improvement_over_parent": null + }, + "node_1437": { + "node_id": "node_1437", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 149.60 kg\n Factor of Safety: 0.71\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.59740311934667, + "fos_buckling": 0.7135630110130445, + "fos_yielding": 4.386503424754902, + "deflection": 0.019216772997092013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003868)" + }, + "parent_node_id": "node_1436", + "improvement_over_parent": null + }, + "node_1438": { + "node_id": "node_1438", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 173.68 kg\n Factor of Safety: 0.82\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.67785719626227, + "fos_buckling": 0.8178637383073619, + "fos_yielding": 5.078810263551471, + "deflection": 0.016597963490417852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1437", + "improvement_over_parent": null + }, + "node_1439": { + "node_id": "node_1439", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 224.60 kg\n Factor of Safety: 1.03\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.60018904140665, + "fos_buckling": 1.0292134273367128, + "fos_yielding": 6.533476571919705, + "deflection": 0.012909304834753124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1438", + "improvement_over_parent": null + }, + "node_1440": { + "node_id": "node_1440", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.18 kg\n Factor of Safety: 1.13\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.17575996862516, + "fos_buckling": 1.1346428062717915, + "fos_yielding": 7.288514962673117, + "deflection": 0.01157817739736496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_1439", + "improvement_over_parent": null + }, + "node_1441": { + "node_id": "node_1441", + "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.76 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.7615052843303, + "fos_buckling": 1.4974963838811044, + "fos_yielding": 7.427236225904274, + "deflection": 0.011522178213277312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.610)" + }, + "parent_node_id": "node_1440", + "improvement_over_parent": null + }, + "node_1442": { + "node_id": "node_1442", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46582613125133, + "fos_buckling": 1.5345371932614957, + "fos_yielding": 7.744200678607598, + "deflection": 0.011487296044103179, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_1441", + "improvement_over_parent": null + }, + "node_1443": { + "node_id": "node_1443", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1442", + "improvement_over_parent": null + }, + "node_1444": { + "node_id": "node_1444", + "content": "INITIAL DESIGN (Trace 207)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 199.49 kg\n Factor of Safety: 0.40\n Max Deflection: 2.73e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.4873891726861, + "fos_buckling": 0.3986020866979417, + "fos_yielding": 1.6594753354612983, + "deflection": 0.027257145838330953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1445": { + "node_id": "node_1445", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n Mass: 221.58 kg\n Factor of Safety: 1.34\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.57776246004497, + "fos_buckling": 1.3439972478864544, + "fos_yielding": 5.627109334760194, + "deflection": 0.013109017844933096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007076)" + }, + "parent_node_id": "node_1444", + "improvement_over_parent": null + }, + "node_1446": { + "node_id": "node_1446", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n Mass: 221.72 kg\n Factor of Safety: 1.35\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.7191424237274, + "fos_buckling": 1.3467375903344199, + "fos_yielding": 5.638582726237473, + "deflection": 0.013107144966768965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.253)" + }, + "parent_node_id": "node_1445", + "improvement_over_parent": null + }, + "node_1447": { + "node_id": "node_1447", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.19 kg\n Factor of Safety: 1.51\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.19286821925846, + "fos_buckling": 1.509478871283634, + "fos_yielding": 6.430294304943665, + "deflection": 0.011562108809719909, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1446", + "improvement_over_parent": null + }, + "node_1448": { + "node_id": "node_1448", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1447", + "improvement_over_parent": null + }, + "node_1449": { + "node_id": "node_1449", + "content": "INITIAL DESIGN (Trace 208)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 145.93 kg\n Factor of Safety: 0.56\n Max Deflection: 2.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.931285339439, + "fos_buckling": 0.5596831263006576, + "fos_yielding": 3.969178457855809, + "deflection": 0.026798654296628744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1450": { + "node_id": "node_1450", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 172.68 kg\n Factor of Safety: 0.65\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.676361243331, + "fos_buckling": 0.6488526863258286, + "fos_yielding": 4.6906298792582435, + "deflection": 0.022689341933056755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_1449", + "improvement_over_parent": null + }, + "node_1451": { + "node_id": "node_1451", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 199.78 kg\n Factor of Safety: 0.73\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.77695586147476, + "fos_buckling": 0.7349775038533001, + "fos_yielding": 5.419768853799226, + "deflection": 0.019647884124393493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1450", + "improvement_over_parent": null + }, + "node_1452": { + "node_id": "node_1452", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 216.89 kg\n Factor of Safety: 0.80\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.88531795024952, + "fos_buckling": 0.7994380208662105, + "fos_yielding": 5.82743440991462, + "deflection": 0.019518292844951685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006263)" + }, + "parent_node_id": "node_1451", + "improvement_over_parent": null + }, + "node_1453": { + "node_id": "node_1453", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 244.36 kg\n Factor of Safety: 0.88\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.36204647464427, + "fos_buckling": 0.8813420788669761, + "fos_yielding": 6.554748883791177, + "deflection": 0.017361482261645186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_1452", + "improvement_over_parent": null + }, + "node_1454": { + "node_id": "node_1454", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 246.91 kg\n Factor of Safety: 1.42\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.90803863570642, + "fos_buckling": 1.419183459553934, + "fos_yielding": 7.59506483952836, + "deflection": 0.01167094786625467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_1453", + "improvement_over_parent": null + }, + "node_1455": { + "node_id": "node_1455", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 247.61 kg\n Factor of Safety: 1.45\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.61235948262745, + "fos_buckling": 1.4534499412773385, + "fos_yielding": 8.053096778202, + "deflection": 0.011591463832856013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_1454", + "improvement_over_parent": null + }, + "node_1456": { + "node_id": "node_1456", + "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0101)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 255.55 kg\n Factor of Safety: 1.47\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.55246991601726, + "fos_buckling": 1.4652779647500036, + "fos_yielding": 8.023532542172722, + "deflection": 0.011455674065107866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.493)" + }, + "parent_node_id": "node_1455", + "improvement_over_parent": null + }, + "node_1457": { + "node_id": "node_1457", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1456", + "improvement_over_parent": null + }, + "node_1458": { + "node_id": "node_1458", + "content": "INITIAL DESIGN (Trace 209)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 174.48 kg\n Factor of Safety: 0.05\n Max Deflection: 5.03e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.48385469813314, + "fos_buckling": 0.053244136658696366, + "fos_yielding": 0.8474577543759946, + "deflection": 50318059370992.81, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1459": { + "node_id": "node_1459", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n Mass: 189.84 kg\n Factor of Safety: 0.13\n Max Deflection: 1.41e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.8420605713475, + "fos_buckling": 0.13453537700089288, + "fos_yielding": 0.8860336084031388, + "deflection": 140950706123386.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004818)" + }, + "parent_node_id": "node_1458", + "improvement_over_parent": null + }, + "node_1460": { + "node_id": "node_1460", + "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n Mass: 194.30 kg\n Factor of Safety: 0.11\n Max Deflection: 2.36e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.29870527933096, + "fos_buckling": 0.10648827331739273, + "fos_yielding": 1.6949155087519892, + "deflection": 23577899066412.117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.272)" + }, + "parent_node_id": "node_1459", + "improvement_over_parent": null + }, + "node_1461": { + "node_id": "node_1461", + "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n Mass: 202.92 kg\n Factor of Safety: 0.20\n Max Deflection: 4.88e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.92059694798593, + "fos_buckling": 0.19637739717969852, + "fos_yielding": 0.8474577543759946, + "deflection": 48847245945298.16, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.565)" + }, + "parent_node_id": "node_1460", + "improvement_over_parent": null + }, + "node_1462": { + "node_id": "node_1462", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 217.65 kg\n Factor of Safety: 0.21\n Max Deflection: 1.75e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.6451045566435, + "fos_buckling": 0.21297654663478546, + "fos_yielding": 1.6949155087519892, + "deflection": 17528937504268.635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_1461", + "improvement_over_parent": null + }, + "node_1463": { + "node_id": "node_1463", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 236.49 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.4931525719557, + "fos_buckling": 0.9034326776798205, + "fos_yielding": 6.007218778897886, + "deflection": 0.012783245609954237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_1462", + "improvement_over_parent": null + }, + "node_1464": { + "node_id": "node_1464", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 253.16 kg\n Factor of Safety: 1.42\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.1634363782128, + "fos_buckling": 1.422857466721528, + "fos_yielding": 8.404403363332653, + "deflection": 0.011732857380787245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_1463", + "improvement_over_parent": null + }, + "node_1465": { + "node_id": "node_1465", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1464", + "improvement_over_parent": null + }, + "node_1466": { + "node_id": "node_1466", + "content": "INITIAL DESIGN (Trace 210)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 156.72 kg\n Factor of Safety: 0.60\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.7241439273597, + "fos_buckling": 0.5992408233432155, + "fos_yielding": 3.34544559570119, + "deflection": 0.019745366643714814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1467": { + "node_id": "node_1467", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 179.44 kg\n Factor of Safety: 0.67\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.4403484059274, + "fos_buckling": 0.6720947220901148, + "fos_yielding": 3.8147476096350514, + "deflection": 0.017294938207189213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1466", + "improvement_over_parent": null + }, + "node_1468": { + "node_id": "node_1468", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 214.95 kg\n Factor of Safety: 0.78\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.95219068787318, + "fos_buckling": 0.7791662466423687, + "fos_yielding": 4.540788706937304, + "deflection": 0.014501921791282835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1467", + "improvement_over_parent": null + }, + "node_1469": { + "node_id": "node_1469", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 237.84 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.83586512284063, + "fos_buckling": 0.8438215332524467, + "fos_yielding": 5.0037989063571455, + "deflection": 0.013144018617252624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1468", + "improvement_over_parent": null + }, + "node_1470": { + "node_id": "node_1470", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5603727314982, + "fos_buckling": 1.5350169152844229, + "fos_yielding": 7.747307084332407, + "deflection": 0.011482967522105994, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_1469", + "improvement_over_parent": null + }, + "node_1471": { + "node_id": "node_1471", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1470", + "improvement_over_parent": null + }, + "node_1472": { + "node_id": "node_1472", + "content": "INITIAL DESIGN (Trace 211)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 207.72 kg\n Factor of Safety: 0.78\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.72324074814725, + "fos_buckling": 0.7754771003638525, + "fos_yielding": 5.621446744833415, + "deflection": 0.020212920606878983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1473": { + "node_id": "node_1473", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 208.33 kg\n Factor of Safety: 0.71\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.32715885528262, + "fos_buckling": 0.7113372825107919, + "fos_yielding": 3.8856979787477344, + "deflection": 0.018318609838849472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001807)" + }, + "parent_node_id": "node_1472", + "improvement_over_parent": null + }, + "node_1474": { + "node_id": "node_1474", + "content": "MODIFICATION: Increase 3 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 214.28 kg\n Factor of Safety: 0.71\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.27732288748504, + "fos_buckling": 0.7056335455338126, + "fos_yielding": 3.834657273032701, + "deflection": 0.018316269796493218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.608)" + }, + "parent_node_id": "node_1473", + "improvement_over_parent": null + }, + "node_1475": { + "node_id": "node_1475", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n Mass: 216.46 kg\n Factor of Safety: 1.35\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.4606220641235, + "fos_buckling": 1.3542299823421526, + "fos_yielding": 6.638105275675807, + "deflection": 0.013343156237161105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003436)" + }, + "parent_node_id": "node_1474", + "improvement_over_parent": null + }, + "node_1476": { + "node_id": "node_1476", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5209472703806, + "fos_buckling": 1.5347801139274537, + "fos_yielding": 7.747123865069109, + "deflection": 0.011484780900951938, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_1475", + "improvement_over_parent": null + }, + "node_1477": { + "node_id": "node_1477", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1476", + "improvement_over_parent": null + }, + "node_1478": { + "node_id": "node_1478", + "content": "INITIAL DESIGN (Trace 212)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 160.35 kg\n Factor of Safety: 0.35\n Max Deflection: 3.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.3457398831151, + "fos_buckling": 0.345028893758383, + "fos_yielding": 1.4125243638036522, + "deflection": 0.035648457278372146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1479": { + "node_id": "node_1479", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n Mass: 162.23 kg\n Factor of Safety: 0.34\n Max Deflection: 3.25e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.23070763742462, + "fos_buckling": 0.34490205697857484, + "fos_yielding": 1.4120084346531534, + "deflection": 0.03252531647118149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002934)" + }, + "parent_node_id": "node_1478", + "improvement_over_parent": null + }, + "node_1480": { + "node_id": "node_1480", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n Mass: 186.46 kg\n Factor of Safety: 0.39\n Max Deflection: 2.84e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.46431197083868, + "fos_buckling": 0.38785613422098864, + "fos_yielding": 1.617012096775489, + "deflection": 0.028391029448609415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1479", + "improvement_over_parent": null + }, + "node_1481": { + "node_id": "node_1481", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 219.15 kg\n Factor of Safety: 0.44\n Max Deflection: 2.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.1536039205127, + "fos_buckling": 0.4423550604358024, + "fos_yielding": 1.8911384280154875, + "deflection": 0.02426306803739639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1480", + "improvement_over_parent": null + }, + "node_1482": { + "node_id": "node_1482", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 221.83 kg\n Factor of Safety: 0.44\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.8283920398281, + "fos_buckling": 0.44229769839400324, + "fos_yielding": 1.9286276057693368, + "deflection": 0.02412291222846691, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.244)" + }, + "parent_node_id": "node_1481", + "improvement_over_parent": null + }, + "node_1483": { + "node_id": "node_1483", + "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 227.16 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.16499217878572, + "fos_buckling": 0.44218329702724973, + "fos_yielding": 1.878607820272711, + "deflection": 0.02404394020529184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.582)" + }, + "parent_node_id": "node_1482", + "improvement_over_parent": null + }, + "node_1484": { + "node_id": "node_1484", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.29 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.28713383063257, + "fos_buckling": 1.5335956825786594, + "fos_yielding": 7.738245625662865, + "deflection": 0.011494483216843387, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_1483", + "improvement_over_parent": null + }, + "node_1485": { + "node_id": "node_1485", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1484", + "improvement_over_parent": null + }, + "node_1486": { + "node_id": "node_1486", + "content": "INITIAL DESIGN (Trace 213)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n Mass: 103.59 kg\n Factor of Safety: 0.40\n Max Deflection: 4.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.58949622942677, + "fos_buckling": 0.4012921901406465, + "fos_yielding": 1.714690462764849, + "deflection": 0.04039846605078207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1487": { + "node_id": "node_1487", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 116.66 kg\n Factor of Safety: 0.45\n Max Deflection: 3.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.66338843054486, + "fos_buckling": 0.44621554029967625, + "fos_yielding": 1.93048873951869, + "deflection": 0.035920226592182046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1486", + "improvement_over_parent": null + }, + "node_1488": { + "node_id": "node_1488", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n\nPerformance:\n Mass: 128.12 kg\n Factor of Safety: 0.45\n Max Deflection: 3.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.12468180056788, + "fos_buckling": 0.445465705470677, + "fos_yielding": 2.359599505388161, + "deflection": 0.03297227541385251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003978)" + }, + "parent_node_id": "node_1487", + "improvement_over_parent": null + }, + "node_1489": { + "node_id": "node_1489", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n\nPerformance:\n Mass: 137.08 kg\n Factor of Safety: 0.45\n Max Deflection: 3.02e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.07770263105587, + "fos_buckling": 0.44527087363764795, + "fos_yielding": 2.384314305251126, + "deflection": 0.030227470273119547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003653)" + }, + "parent_node_id": "node_1488", + "improvement_over_parent": null + }, + "node_1490": { + "node_id": "node_1490", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n Mass: 164.71 kg\n Factor of Safety: 0.52\n Max Deflection: 2.52e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.71007624295393, + "fos_buckling": 0.5225109153799316, + "fos_yielding": 2.8546833270551555, + "deflection": 0.025232768117491738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1489", + "improvement_over_parent": null + }, + "node_1491": { + "node_id": "node_1491", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n\nPerformance:\n Mass: 184.53 kg\n Factor of Safety: 1.18\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.5346228913267, + "fos_buckling": 1.1833993020504041, + "fos_yielding": 5.655758414707834, + "deflection": 0.015594584361437519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005798)" + }, + "parent_node_id": "node_1490", + "improvement_over_parent": null + }, + "node_1492": { + "node_id": "node_1492", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 205.96 kg\n Factor of Safety: 1.30\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.96394216911744, + "fos_buckling": 1.2988440080027224, + "fos_yielding": 6.314088095279541, + "deflection": 0.014006337123480504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1491", + "improvement_over_parent": null + }, + "node_1493": { + "node_id": "node_1493", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n Mass: 252.85 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.84943481995106, + "fos_buckling": 1.5358667902449843, + "fos_yielding": 7.755583207392622, + "deflection": 0.011470250600904685, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1492", + "improvement_over_parent": null + }, + "node_1494": { + "node_id": "node_1494", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1493", + "improvement_over_parent": null + }, + "node_1495": { + "node_id": "node_1495", + "content": "INITIAL DESIGN (Trace 214)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 168.10 kg\n Factor of Safety: 0.53\n Max Deflection: 2.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.10118604054855, + "fos_buckling": 0.5281120431626483, + "fos_yielding": 2.787554676784404, + "deflection": 0.028962702694760166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1496": { + "node_id": "node_1496", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n Mass: 191.97 kg\n Factor of Safety: 0.53\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.97161441755838, + "fos_buckling": 0.5268880330098239, + "fos_yielding": 4.9868403014015925, + "deflection": 0.017963199510324476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007080)" + }, + "parent_node_id": "node_1495", + "improvement_over_parent": null + }, + "node_1497": { + "node_id": "node_1497", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n Mass: 208.55 kg\n Factor of Safety: 1.14\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.5488127439116, + "fos_buckling": 1.144104004641106, + "fos_yielding": 7.251242588877029, + "deflection": 0.013702073955579819, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005900)" + }, + "parent_node_id": "node_1496", + "improvement_over_parent": null + }, + "node_1498": { + "node_id": "node_1498", + "content": "MODIFICATION: Increase 14 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0095)]\n\nPerformance:\n Mass: 217.29 kg\n Factor of Safety: 1.21\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.29357753021142, + "fos_buckling": 1.205396626818195, + "fos_yielding": 7.391367834936539, + "deflection": 0.013531184061942859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.603)" + }, + "parent_node_id": "node_1497", + "improvement_over_parent": null + }, + "node_1499": { + "node_id": "node_1499", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0109)]\n\nPerformance:\n Mass: 247.05 kg\n Factor of Safety: 1.35\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.04661483896723, + "fos_buckling": 1.348109881996683, + "fos_yielding": 8.39582778360293, + "deflection": 0.011934889238933427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1498", + "improvement_over_parent": null + }, + "node_1500": { + "node_id": "node_1500", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0109)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 247.62 kg\n Factor of Safety: 1.25\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.62137461745718, + "fos_buckling": 1.2472757754613113, + "fos_yielding": 8.81541090426913, + "deflection": 0.011903379434721134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001713)" + }, + "parent_node_id": "node_1499", + "improvement_over_parent": null + }, + "node_1501": { + "node_id": "node_1501", + "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0041)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0109)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 247.98 kg\n Factor of Safety: 1.26\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.98058188434695, + "fos_buckling": 1.259182338455685, + "fos_yielding": 8.82186877143091, + "deflection": 0.011883341077142798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.247)" + }, + "parent_node_id": "node_1500", + "improvement_over_parent": null + }, + "node_1502": { + "node_id": "node_1502", + "content": "MODIFICATION: Increase 11 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0041)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0103)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0109)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 256.63 kg\n Factor of Safety: 1.33\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.6343200903075, + "fos_buckling": 1.3286808175032234, + "fos_yielding": 8.87802941771962, + "deflection": 0.011714655720905895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.567)" + }, + "parent_node_id": "node_1501", + "improvement_over_parent": null + }, + "node_1503": { + "node_id": "node_1503", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1502", + "improvement_over_parent": null + }, + "node_1504": { + "node_id": "node_1504", + "content": "INITIAL DESIGN (Trace 215)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 209.51 kg\n Factor of Safety: 0.52\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.50600019399366, + "fos_buckling": 0.5232991988181834, + "fos_yielding": 4.55426314489253, + "deflection": 0.016014351004315815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1505": { + "node_id": "node_1505", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 230.90 kg\n Factor of Safety: 0.57\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.9009365926575, + "fos_buckling": 0.5706218821634619, + "fos_yielding": 4.9985868427238636, + "deflection": 0.014566396899409655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_1504", + "improvement_over_parent": null + }, + "node_1506": { + "node_id": "node_1506", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 245.63 kg\n Factor of Safety: 1.22\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.62544420131508, + "fos_buckling": 1.2174652130603496, + "fos_yielding": 7.794439004952659, + "deflection": 0.011715745637311932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_1505", + "improvement_over_parent": null + }, + "node_1507": { + "node_id": "node_1507", + "content": "MODIFICATION: Increase 15 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0102)]\n\nPerformance:\n Mass: 253.57 kg\n Factor of Safety: 1.32\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.57406002481903, + "fos_buckling": 1.3168103806585822, + "fos_yielding": 7.827566966220818, + "deflection": 0.011560730807205225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.634)" + }, + "parent_node_id": "node_1506", + "improvement_over_parent": null + }, + "node_1508": { + "node_id": "node_1508", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1507", + "improvement_over_parent": null + }, + "node_1509": { + "node_id": "node_1509", + "content": "INITIAL DESIGN (Trace 216)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.26 kg\n Factor of Safety: 1.41\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.25796389531124, + "fos_buckling": 1.4079266458219681, + "fos_yielding": 6.260422385425411, + "deflection": 0.011761132067329202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1510": { + "node_id": "node_1510", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 246.96 kg\n Factor of Safety: 1.44\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.96228474223227, + "fos_buckling": 1.4354034759849184, + "fos_yielding": 6.656166003579249, + "deflection": 0.011674091352662423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_1509", + "improvement_over_parent": null + }, + "node_1511": { + "node_id": "node_1511", + "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0100)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 254.71 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.71437429813182, + "fos_buckling": 1.5248434475726638, + "fos_yielding": 6.902272229364485, + "deflection": 0.01149796619731708, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.475)" + }, + "parent_node_id": "node_1510", + "improvement_over_parent": null + }, + "node_1512": { + "node_id": "node_1512", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0100)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 255.19 kg\n Factor of Safety: 1.54\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.19135424784105, + "fos_buckling": 1.5394603168016043, + "fos_yielding": 8.337526674255649, + "deflection": 0.011430280389533554, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.253)" + }, + "parent_node_id": "node_1511", + "improvement_over_parent": null + }, + "node_1513": { + "node_id": "node_1513", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1512", + "improvement_over_parent": null + }, + "node_1514": { + "node_id": "node_1514", + "content": "INITIAL DESIGN (Trace 217)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 137.71 kg\n Factor of Safety: 0.23\n Max Deflection: 8.85e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.7145475353385, + "fos_buckling": 0.23139887974626003, + "fos_yielding": 2.3683917092154734, + "deflection": 88503243095888.83, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1515": { + "node_id": "node_1515", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n\nPerformance:\n Mass: 149.30 kg\n Factor of Safety: 0.17\n Max Deflection: 8.29e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.29644215907283, + "fos_buckling": 0.1726296902780523, + "fos_yielding": 0.8128205428843247, + "deflection": 0.08289834185852701, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004308)" + }, + "parent_node_id": "node_1514", + "improvement_over_parent": null + }, + "node_1516": { + "node_id": "node_1516", + "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n\nPerformance:\n Mass: 151.68 kg\n Factor of Safety: 0.17\n Max Deflection: 8.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.67838484409037, + "fos_buckling": 0.1725891125033005, + "fos_yielding": 0.8126297389893675, + "deflection": 0.08151000763319495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.230)" + }, + "parent_node_id": "node_1515", + "improvement_over_parent": null + }, + "node_1517": { + "node_id": "node_1517", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n Mass: 172.76 kg\n Factor of Safety: 0.19\n Max Deflection: 7.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.75758986594974, + "fos_buckling": 0.19443788611786864, + "fos_yielding": 0.9247297240196363, + "deflection": 0.07160702529417742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1516", + "improvement_over_parent": null + }, + "node_1518": { + "node_id": "node_1518", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 194.23 kg\n Factor of Safety: 0.54\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.23161714448287, + "fos_buckling": 0.5437634878188815, + "fos_yielding": 3.8273976082867973, + "deflection": 0.020543329965325232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006316)" + }, + "parent_node_id": "node_1517", + "improvement_over_parent": null + }, + "node_1519": { + "node_id": "node_1519", + "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0070)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 198.67 kg\n Factor of Safety: 0.54\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.67145226475768, + "fos_buckling": 0.5448576489678172, + "fos_yielding": 3.6696292609125023, + "deflection": 0.020437139246711717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.332)" + }, + "parent_node_id": "node_1518", + "improvement_over_parent": null + }, + "node_1520": { + "node_id": "node_1520", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0070)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 200.69 kg\n Factor of Safety: 1.11\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.6862470510286, + "fos_buckling": 1.1141212875633582, + "fos_yielding": 5.915126005244425, + "deflection": 0.014468040893368495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003151)" + }, + "parent_node_id": "node_1519", + "improvement_over_parent": null + }, + "node_1521": { + "node_id": "node_1521", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0090)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 253.60 kg\n Factor of Safety: 1.37\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.59606403918343, + "fos_buckling": 1.3738322777405412, + "fos_yielding": 7.487988032711366, + "deflection": 0.011511713349181819, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1520", + "improvement_over_parent": null + }, + "node_1522": { + "node_id": "node_1522", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1521", + "improvement_over_parent": null + }, + "node_1523": { + "node_id": "node_1523", + "content": "INITIAL DESIGN (Trace 218)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0020)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 110.07 kg\n Factor of Safety: 0.20\n Max Deflection: 2.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.06541742467748, + "fos_buckling": 0.19676547901095806, + "fos_yielding": 2.593541693360902, + "deflection": 0.027696227114845887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1524": { + "node_id": "node_1524", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 141.61 kg\n Factor of Safety: 0.25\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.60951244546854, + "fos_buckling": 0.24874576157539072, + "fos_yielding": 3.3372130148322596, + "deflection": 0.02159558219402558, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_1523", + "improvement_over_parent": null + }, + "node_1525": { + "node_id": "node_1525", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n\nPerformance:\n Mass: 153.32 kg\n Factor of Safety: 1.00\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.31922236653708, + "fos_buckling": 0.9994834632003015, + "fos_yielding": 4.768680241699102, + "deflection": 0.018537656665203503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004069)" + }, + "parent_node_id": "node_1524", + "improvement_over_parent": null + }, + "node_1526": { + "node_id": "node_1526", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n\nPerformance:\n Mass: 153.41 kg\n Factor of Safety: 0.99\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.40873847173938, + "fos_buckling": 0.9942179809474365, + "fos_yielding": 4.784301379329097, + "deflection": 0.01853168140107756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.271)" + }, + "parent_node_id": "node_1525", + "improvement_over_parent": null + }, + "node_1527": { + "node_id": "node_1527", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n\nPerformance:\n Mass: 169.89 kg\n Factor of Safety: 1.09\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.88963099814364, + "fos_buckling": 1.0855720368641164, + "fos_yielding": 5.2988633071917555, + "deflection": 0.01676642133314432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1526", + "improvement_over_parent": null + }, + "node_1528": { + "node_id": "node_1528", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n Mass: 206.49 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.48945659777513, + "fos_buckling": 1.2781558018065653, + "fos_yielding": 6.441933567032498, + "deflection": 0.013853992102872989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1527", + "improvement_over_parent": null + }, + "node_1529": { + "node_id": "node_1529", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 246.98 kg\n Factor of Safety: 1.47\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.98033449623492, + "fos_buckling": 1.4749851506255547, + "fos_yielding": 7.707068793772327, + "deflection": 0.011637682660312993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1528", + "improvement_over_parent": null + }, + "node_1530": { + "node_id": "node_1530", + "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0101)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 254.91 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.9124504974071, + "fos_buckling": 1.5338195398483618, + "fos_yielding": 7.677071843375109, + "deflection": 0.011474467450012214, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.493)" + }, + "parent_node_id": "node_1529", + "improvement_over_parent": null + }, + "node_1531": { + "node_id": "node_1531", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1530", + "improvement_over_parent": null + }, + "node_1532": { + "node_id": "node_1532", + "content": "INITIAL DESIGN (Trace 219)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 159.11 kg\n Factor of Safety: 1.05\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.10644579887156, + "fos_buckling": 1.0499709587238233, + "fos_yielding": 4.693250656203613, + "deflection": 0.01879849075031327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1533": { + "node_id": "node_1533", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 202.61 kg\n Factor of Safety: 1.29\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.61279508924233, + "fos_buckling": 1.2900416806748491, + "fos_yielding": 5.980805655960989, + "deflection": 0.014823394252053913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1532", + "improvement_over_parent": null + }, + "node_1534": { + "node_id": "node_1534", + "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 209.26 kg\n Factor of Safety: 1.32\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.26076841261553, + "fos_buckling": 1.3167489916946307, + "fos_yielding": 6.415528723649255, + "deflection": 0.013791597800283242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.477)" + }, + "parent_node_id": "node_1533", + "improvement_over_parent": null + }, + "node_1535": { + "node_id": "node_1535", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.51518155993864, + "fos_buckling": 1.5348384721913877, + "fos_yielding": 7.745450904295285, + "deflection": 0.01148559787757257, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1534", + "improvement_over_parent": null + }, + "node_1536": { + "node_id": "node_1536", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1535", + "improvement_over_parent": null + }, + "node_1537": { + "node_id": "node_1537", + "content": "INITIAL DESIGN (Trace 220)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0021)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n Mass: 132.44 kg\n Factor of Safety: 0.71\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.43924658581398, + "fos_buckling": 0.7116843182516979, + "fos_yielding": 3.9018995688138682, + "deflection": 0.021432241270291728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1538": { + "node_id": "node_1538", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0024)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 148.67 kg\n Factor of Safety: 0.79\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.66855845073928, + "fos_buckling": 0.794887167696652, + "fos_yielding": 4.381053308613006, + "deflection": 0.019127002082088555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1537", + "improvement_over_parent": null + }, + "node_1539": { + "node_id": "node_1539", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0024)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n\nPerformance:\n Mass: 149.10 kg\n Factor of Safety: 0.77\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.09705581190758, + "fos_buckling": 0.7676302903820778, + "fos_yielding": 4.4348786454860765, + "deflection": 0.019121266606420575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001253)" + }, + "parent_node_id": "node_1538", + "improvement_over_parent": null + }, + "node_1540": { + "node_id": "node_1540", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n\nPerformance:\n Mass: 174.06 kg\n Factor of Safety: 0.89\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.0620265536428, + "fos_buckling": 0.8885606472701447, + "fos_yielding": 5.180763937080902, + "deflection": 0.01642393283057895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_1539", + "improvement_over_parent": null + }, + "node_1541": { + "node_id": "node_1541", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 216.85 kg\n Factor of Safety: 1.09\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.8539603608864, + "fos_buckling": 1.0906577954465593, + "fos_yielding": 6.461622357887762, + "deflection": 0.01324514459285604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1540", + "improvement_over_parent": null + }, + "node_1542": { + "node_id": "node_1542", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0091)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 222.73 kg\n Factor of Safety: 1.09\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.73356587572178, + "fos_buckling": 1.0941259417195706, + "fos_yielding": 6.731874585366591, + "deflection": 0.012888238411665342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.272)" + }, + "parent_node_id": "node_1541", + "improvement_over_parent": null + }, + "node_1543": { + "node_id": "node_1543", + "content": "MODIFICATION: Increase 13 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0091)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0096)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 231.74 kg\n Factor of Safety: 1.08\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.74312345657737, + "fos_buckling": 1.0840133839890433, + "fos_yielding": 6.758080240247912, + "deflection": 0.012735821567805098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.658)" + }, + "parent_node_id": "node_1542", + "improvement_over_parent": null + }, + "node_1544": { + "node_id": "node_1544", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0104)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0109)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 261.61 kg\n Factor of Safety: 1.21\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.60808589880713, + "fos_buckling": 1.2132971418555147, + "fos_yielding": 7.6408263414088635, + "deflection": 0.011309653746042547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1543", + "improvement_over_parent": null + }, + "node_1545": { + "node_id": "node_1545", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1544", + "improvement_over_parent": null + }, + "node_1546": { + "node_id": "node_1546", + "content": "INITIAL DESIGN (Trace 221)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 122.77 kg\n Factor of Safety: 0.28\n Max Deflection: 5.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.77023208711103, + "fos_buckling": 0.28458048523748225, + "fos_yielding": 0.7700835740890148, + "deflection": 0.05075805651107549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1547": { + "node_id": "node_1547", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n\nPerformance:\n Mass: 137.68 kg\n Factor of Safety: 0.55\n Max Deflection: 2.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.68159204021674, + "fos_buckling": 0.5476046645975435, + "fos_yielding": 2.887727211241152, + "deflection": 0.02200853240852199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004652)" + }, + "parent_node_id": "node_1546", + "improvement_over_parent": null + }, + "node_1548": { + "node_id": "node_1548", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n Mass: 158.06 kg\n Factor of Safety: 0.62\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.06078508517157, + "fos_buckling": 0.6169804062647104, + "fos_yielding": 3.306499143743003, + "deflection": 0.019220337240197196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1547", + "improvement_over_parent": null + }, + "node_1549": { + "node_id": "node_1549", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n Mass: 201.06 kg\n Factor of Safety: 0.75\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.06312191695227, + "fos_buckling": 0.753862278757043, + "fos_yielding": 4.1831599139782565, + "deflection": 0.015191665080798972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1548", + "improvement_over_parent": null + }, + "node_1550": { + "node_id": "node_1550", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0070)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 0.75\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.1014916874504, + "fos_buckling": 0.7532073254248818, + "fos_yielding": 4.022266288501516, + "deflection": 0.015118201958864248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.205)" + }, + "parent_node_id": "node_1549", + "improvement_over_parent": null + }, + "node_1551": { + "node_id": "node_1551", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0070)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n Mass: 219.52 kg\n Factor of Safety: 1.37\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.51946792524768, + "fos_buckling": 1.368478144347405, + "fos_yielding": 6.954249865837606, + "deflection": 0.013171062662518912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005641)" + }, + "parent_node_id": "node_1550", + "improvement_over_parent": null + }, + "node_1552": { + "node_id": "node_1552", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0082)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 253.45 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.45414228509804, + "fos_buckling": 1.5377862333120682, + "fos_yielding": 8.028329007004533, + "deflection": 0.011451226868701526, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1551", + "improvement_over_parent": null + }, + "node_1553": { + "node_id": "node_1553", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1552", + "improvement_over_parent": null + }, + "node_1554": { + "node_id": "node_1554", + "content": "INITIAL DESIGN (Trace 222)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 142.92 kg\n Factor of Safety: 0.46\n Max Deflection: 2.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.9181761784542, + "fos_buckling": 0.45829437609598, + "fos_yielding": 1.5499612090670616, + "deflection": 0.029483902493258895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1555": { + "node_id": "node_1555", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n\nPerformance:\n Mass: 152.03 kg\n Factor of Safety: 0.44\n Max Deflection: 2.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.0268203246982, + "fos_buckling": 0.44076077658165785, + "fos_yielding": 2.973701164335196, + "deflection": 0.026119991966680235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003720)" + }, + "parent_node_id": "node_1554", + "improvement_over_parent": null + }, + "node_1556": { + "node_id": "node_1556", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n\nPerformance:\n Mass: 153.60 kg\n Factor of Safety: 0.89\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.60208224704925, + "fos_buckling": 0.8946124066560195, + "fos_yielding": 4.646094968946231, + "deflection": 0.01857412025212068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002425)" + }, + "parent_node_id": "node_1555", + "improvement_over_parent": null + }, + "node_1557": { + "node_id": "node_1557", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 199.55 kg\n Factor of Safety: 1.14\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.54829062675827, + "fos_buckling": 1.1365401200803689, + "fos_yielding": 6.040961059854146, + "deflection": 0.014372123120621782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_1556", + "improvement_over_parent": null + }, + "node_1558": { + "node_id": "node_1558", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 248.51 kg\n Factor of Safety: 1.38\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.50659904158567, + "fos_buckling": 1.3810877104994954, + "fos_yielding": 7.5299873961305055, + "deflection": 0.011604702485028776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1557", + "improvement_over_parent": null + }, + "node_1559": { + "node_id": "node_1559", + "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0088)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 253.42 kg\n Factor of Safety: 1.39\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.41625158440212, + "fos_buckling": 1.3904840980938002, + "fos_yielding": 7.511144382020778, + "deflection": 0.011507612076969443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.299)" + }, + "parent_node_id": "node_1558", + "improvement_over_parent": null + }, + "node_1560": { + "node_id": "node_1560", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1559", + "improvement_over_parent": null + }, + "node_1561": { + "node_id": "node_1561", + "content": "INITIAL DESIGN (Trace 223)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 99.84 kg\n Factor of Safety: 0.21\n Max Deflection: 5.75e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.84397916643171, + "fos_buckling": 0.20958675373331628, + "fos_yielding": 0.8474577543759945, + "deflection": 57500836038474.39, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1562": { + "node_id": "node_1562", + "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 102.31 kg\n Factor of Safety: 1.61\n Max Deflection: 3.10e+13 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 102.30612252963414, + "fos_buckling": 1.6063833978506132, + "fos_yielding": 3.3898310175039783, + "deflection": 30996244338700.324, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.481)" + }, + "parent_node_id": "node_1561", + "improvement_over_parent": null + }, + "node_1563": { + "node_id": "node_1563", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 129.03 kg\n Factor of Safety: 0.03\n Max Deflection: 2.96e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.0295098173887, + "fos_buckling": 0.02562458731658087, + "fos_yielding": 0.10593221929699931, + "deflection": 296403844836245.7, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_1562", + "improvement_over_parent": null + }, + "node_1564": { + "node_id": "node_1564", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n\nPerformance:\n Mass: 140.87 kg\n Factor of Safety: 0.46\n Max Deflection: 3.08e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.8663816443803, + "fos_buckling": 0.46482393708322706, + "fos_yielding": 2.5023673273600435, + "deflection": 0.030847030479601276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003664)" + }, + "parent_node_id": "node_1563", + "improvement_over_parent": null + }, + "node_1565": { + "node_id": "node_1565", + "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n\nPerformance:\n Mass: 143.53 kg\n Factor of Safety: 0.46\n Max Deflection: 3.08e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.53284115512494, + "fos_buckling": 0.4646424360584992, + "fos_yielding": 2.5013938564196017, + "deflection": 0.03077444301206755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.269)" + }, + "parent_node_id": "node_1564", + "improvement_over_parent": null + }, + "node_1566": { + "node_id": "node_1566", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0065)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n\nPerformance:\n Mass: 182.88 kg\n Factor of Safety: 0.57\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.8773396793151, + "fos_buckling": 0.5722279392624211, + "fos_yielding": 3.1715190026042612, + "deflection": 0.024228246247867992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1565", + "improvement_over_parent": null + }, + "node_1567": { + "node_id": "node_1567", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0065)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 204.95 kg\n Factor of Safety: 1.24\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.94508428387536, + "fos_buckling": 1.2436093791775646, + "fos_yielding": 6.415084417899661, + "deflection": 0.014203779170268854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006504)" + }, + "parent_node_id": "node_1566", + "improvement_over_parent": null + }, + "node_1568": { + "node_id": "node_1568", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0081)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.13 kg\n Factor of Safety: 1.47\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.1258642347952, + "fos_buckling": 1.4744612038117764, + "fos_yielding": 7.896564558207286, + "deflection": 0.011604929634074876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_1567", + "improvement_over_parent": null + }, + "node_1569": { + "node_id": "node_1569", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1568", + "improvement_over_parent": null + }, + "node_1570": { + "node_id": "node_1570", + "content": "INITIAL DESIGN (Trace 224)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 120.65 kg\n Factor of Safety: 0.48\n Max Deflection: 2.68e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.64656464776876, + "fos_buckling": 0.47772992116212853, + "fos_yielding": 3.074617536319566, + "deflection": 26803103922443.387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1571": { + "node_id": "node_1571", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n\nPerformance:\n Mass: 138.38 kg\n Factor of Safety: 0.55\n Max Deflection: 2.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.37631853651345, + "fos_buckling": 0.5535470893639083, + "fos_yielding": 3.928410852116969, + "deflection": 0.026780692815982644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005149)" + }, + "parent_node_id": "node_1570", + "improvement_over_parent": null + }, + "node_1572": { + "node_id": "node_1572", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n\nPerformance:\n Mass: 176.26 kg\n Factor of Safety: 0.68\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.25768231882418, + "fos_buckling": 0.6808089615069379, + "fos_yielding": 4.9741411498279815, + "deflection": 0.021105200350325242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1571", + "improvement_over_parent": null + }, + "node_1573": { + "node_id": "node_1573", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n\nPerformance:\n Mass: 190.13 kg\n Factor of Safety: 0.79\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.1316373083651, + "fos_buckling": 0.7885123379159826, + "fos_yielding": 5.690831004535742, + "deflection": 0.01764826856677114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005227)" + }, + "parent_node_id": "node_1572", + "improvement_over_parent": null + }, + "node_1574": { + "node_id": "node_1574", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n\nPerformance:\n Mass: 209.51 kg\n Factor of Safety: 1.29\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.51262200142963, + "fos_buckling": 1.2931991428728562, + "fos_yielding": 6.178550573926599, + "deflection": 0.013779403872577096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006178)" + }, + "parent_node_id": "node_1573", + "improvement_over_parent": null + }, + "node_1575": { + "node_id": "node_1575", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 210.10 kg\n Factor of Safety: 1.32\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.09888856146696, + "fos_buckling": 1.3210685808788267, + "fos_yielding": 6.440920472421494, + "deflection": 0.013737460522971152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001750)" + }, + "parent_node_id": "node_1574", + "improvement_over_parent": null + }, + "node_1576": { + "node_id": "node_1576", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.38 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.37980390997254, + "fos_buckling": 1.5340983553466083, + "fos_yielding": 7.740862156106542, + "deflection": 0.011491227216883915, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_1575", + "improvement_over_parent": null + }, + "node_1577": { + "node_id": "node_1577", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1576", + "improvement_over_parent": null + }, + "node_1578": { + "node_id": "node_1578", + "content": "INITIAL DESIGN (Trace 225)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0018)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0032)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n Mass: 107.73 kg\n Factor of Safety: 0.45\n Max Deflection: 2.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.73199077346885, + "fos_buckling": 0.4450754307446034, + "fos_yielding": 2.5882024065844615, + "deflection": 0.0288736092234704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1579": { + "node_id": "node_1579", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0023)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 138.24 kg\n Factor of Safety: 0.57\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.23813247751548, + "fos_buckling": 0.565171158000331, + "fos_yielding": 3.3222319549126254, + "deflection": 0.02255736265201147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_1578", + "improvement_over_parent": null + }, + "node_1580": { + "node_id": "node_1580", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 141.93 kg\n Factor of Safety: 0.79\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.92983249145254, + "fos_buckling": 0.785043755962031, + "fos_yielding": 4.38053820964481, + "deflection": 0.02066180902640445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.506)" + }, + "parent_node_id": "node_1579", + "improvement_over_parent": null + }, + "node_1581": { + "node_id": "node_1581", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 145.15 kg\n Factor of Safety: 0.95\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.1469830702425, + "fos_buckling": 0.9464531326043862, + "fos_yielding": 4.279010144160097, + "deflection": 0.01974399601306488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.300)" + }, + "parent_node_id": "node_1580", + "improvement_over_parent": null + }, + "node_1582": { + "node_id": "node_1582", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 167.47 kg\n Factor of Safety: 1.07\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.47404719654187, + "fos_buckling": 1.0716542987646407, + "fos_yielding": 4.937998460328359, + "deflection": 0.01715567165338989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_1581", + "improvement_over_parent": null + }, + "node_1583": { + "node_id": "node_1583", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 215.38 kg\n Factor of Safety: 1.32\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.37973527177746, + "fos_buckling": 1.3226256309470783, + "fos_yielding": 6.352643378374264, + "deflection": 0.013413037618938129, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1582", + "improvement_over_parent": null + }, + "node_1584": { + "node_id": "node_1584", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 215.98 kg\n Factor of Safety: 1.35\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.98241764598282, + "fos_buckling": 1.3517932467945046, + "fos_yielding": 6.622758055648834, + "deflection": 0.013372193552236287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001803)" + }, + "parent_node_id": "node_1583", + "improvement_over_parent": null + }, + "node_1585": { + "node_id": "node_1585", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35947822524386, + "fos_buckling": 1.5340465028995722, + "fos_yielding": 7.741413886924089, + "deflection": 0.011492107239785103, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1584", + "improvement_over_parent": null + }, + "node_1586": { + "node_id": "node_1586", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1585", + "improvement_over_parent": null + }, + "node_1587": { + "node_id": "node_1587", + "content": "INITIAL DESIGN (Trace 226)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 178.28 kg\n Factor of Safety: 0.71\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.27965215895188, + "fos_buckling": 0.7078693620167571, + "fos_yielding": 3.5974770230037283, + "deflection": 0.017096382971516423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1588": { + "node_id": "node_1588", + "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 182.87 kg\n Factor of Safety: 0.71\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.86570290658727, + "fos_buckling": 0.7069377869942677, + "fos_yielding": 4.046918100048205, + "deflection": 0.01686833482479537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.562)" + }, + "parent_node_id": "node_1587", + "improvement_over_parent": null + }, + "node_1589": { + "node_id": "node_1589", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 228.28 kg\n Factor of Safety: 0.84\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.27737848798378, + "fos_buckling": 0.8443586518416749, + "fos_yielding": 5.016586821055814, + "deflection": 0.01358650605075174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1588", + "improvement_over_parent": null + }, + "node_1590": { + "node_id": "node_1590", + "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 234.59 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.59349678265147, + "fos_buckling": 0.843853163714507, + "fos_yielding": 5.041576660623911, + "deflection": 0.013147579184823536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.333)" + }, + "parent_node_id": "node_1589", + "improvement_over_parent": null + }, + "node_1591": { + "node_id": "node_1591", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.38 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3849724710559, + "fos_buckling": 1.5342712979100372, + "fos_yielding": 7.742648333632437, + "deflection": 0.011490615009495931, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_1590", + "improvement_over_parent": null + }, + "node_1592": { + "node_id": "node_1592", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1591", + "improvement_over_parent": null + }, + "node_1593": { + "node_id": "node_1593", + "content": "INITIAL DESIGN (Trace 227)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 200.89 kg\n Factor of Safety: 1.00\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.88710074331763, + "fos_buckling": 1.0033177456482503, + "fos_yielding": 5.761217041801299, + "deflection": 0.015602852799724442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1594": { + "node_id": "node_1594", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 207.67 kg\n Factor of Safety: 1.00\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.6706627764469, + "fos_buckling": 0.9987790229181758, + "fos_yielding": 6.080194863902239, + "deflection": 0.014737381736058592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.562)" + }, + "parent_node_id": "node_1593", + "improvement_over_parent": null + }, + "node_1595": { + "node_id": "node_1595", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 235.03 kg\n Factor of Safety: 1.12\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.02666265512448, + "fos_buckling": 1.1166946119515748, + "fos_yielding": 6.878651061133734, + "deflection": 0.013052239761483767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1594", + "improvement_over_parent": null + }, + "node_1596": { + "node_id": "node_1596", + "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 240.86 kg\n Factor of Safety: 1.12\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.86402795065067, + "fos_buckling": 1.1187941159572503, + "fos_yielding": 6.757715602243257, + "deflection": 0.012785438286863956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.477)" + }, + "parent_node_id": "node_1595", + "improvement_over_parent": null + }, + "node_1597": { + "node_id": "node_1597", + "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.51 kg\n Factor of Safety: 1.12\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.51130480246297, + "fos_buckling": 1.119571765025222, + "fos_yielding": 6.639380048083834, + "deflection": 0.012707428853707027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.479)" + }, + "parent_node_id": "node_1596", + "improvement_over_parent": null + }, + "node_1598": { + "node_id": "node_1598", + "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 242.16 kg\n Factor of Safety: 1.11\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.15886227719918, + "fos_buckling": 1.109124431710051, + "fos_yielding": 6.832020023611015, + "deflection": 0.012615107886519232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.374)" + }, + "parent_node_id": "node_1597", + "improvement_over_parent": null + }, + "node_1599": { + "node_id": "node_1599", + "content": "MODIFICATION: Increase 4 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.70 kg\n Factor of Safety: 1.42\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.70438014027687, + "fos_buckling": 1.4248791184115284, + "fos_yielding": 7.982993426925549, + "deflection": 0.011793308442535582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.479)" + }, + "parent_node_id": "node_1598", + "improvement_over_parent": null + }, + "node_1600": { + "node_id": "node_1600", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.54159980753715, + "fos_buckling": 1.5349565524201985, + "fos_yielding": 7.749650094479069, + "deflection": 0.011484043880119503, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.198)" + }, + "parent_node_id": "node_1599", + "improvement_over_parent": null + }, + "node_1601": { + "node_id": "node_1601", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1600", + "improvement_over_parent": null + }, + "node_1602": { + "node_id": "node_1602", + "content": "INITIAL DESIGN (Trace 228)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 182.77 kg\n Factor of Safety: 0.34\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.7662108903951, + "fos_buckling": 0.33795058988064736, + "fos_yielding": 2.93957350462867, + "deflection": 0.018207938385045995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1603": { + "node_id": "node_1603", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 187.12 kg\n Factor of Safety: 0.34\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.1172734808039, + "fos_buckling": 0.3375146295041825, + "fos_yielding": 2.9386878220116124, + "deflection": 0.017031999570017567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.295)" + }, + "parent_node_id": "node_1602", + "improvement_over_parent": null + }, + "node_1604": { + "node_id": "node_1604", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n Mass: 202.27 kg\n Factor of Safety: 1.06\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.26908933272875, + "fos_buckling": 1.0603863381027385, + "fos_yielding": 4.3075805974717145, + "deflection": 0.0144196536434114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005354)" + }, + "parent_node_id": "node_1603", + "improvement_over_parent": null + }, + "node_1605": { + "node_id": "node_1605", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n Mass: 202.95 kg\n Factor of Safety: 1.28\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.95456456144052, + "fos_buckling": 1.2833245971689584, + "fos_yielding": 6.219310474532185, + "deflection": 0.014209259412814994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.541)" + }, + "parent_node_id": "node_1604", + "improvement_over_parent": null + }, + "node_1606": { + "node_id": "node_1606", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n Mass: 227.06 kg\n Factor of Safety: 1.41\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.05626002018874, + "fos_buckling": 1.408549209457638, + "fos_yielding": 6.95982549313761, + "deflection": 0.012735936012684407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1605", + "improvement_over_parent": null + }, + "node_1607": { + "node_id": "node_1607", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.67 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.67471022024972, + "fos_buckling": 1.5354839426286473, + "fos_yielding": 7.7473980443984685, + "deflection": 0.011478052597449618, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1606", + "improvement_over_parent": null + }, + "node_1608": { + "node_id": "node_1608", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1607", + "improvement_over_parent": null + }, + "node_1609": { + "node_id": "node_1609", + "content": "INITIAL DESIGN (Trace 229)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 129.18 kg\n Factor of Safety: 0.42\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.17959048719217, + "fos_buckling": 0.41582649410230677, + "fos_yielding": 1.5660717109567528, + "deflection": 0.02531191445753918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1610": { + "node_id": "node_1610", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n Mass: 138.05 kg\n Factor of Safety: 0.42\n Max Deflection: 2.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.04886510103967, + "fos_buckling": 0.41619127876003337, + "fos_yielding": 3.3166877540679907, + "deflection": 0.021953511380587404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003617)" + }, + "parent_node_id": "node_1609", + "improvement_over_parent": null + }, + "node_1611": { + "node_id": "node_1611", + "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0038)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0027)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n Mass: 138.94 kg\n Factor of Safety: 0.42\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.93633279484837, + "fos_buckling": 0.41611822617432664, + "fos_yielding": 3.31610827635873, + "deflection": 0.021865764270363724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.631)" + }, + "parent_node_id": "node_1610", + "improvement_over_parent": null + }, + "node_1612": { + "node_id": "node_1612", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0044)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n Mass: 157.92 kg\n Factor of Safety: 0.47\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.92083357218044, + "fos_buckling": 0.46948394207947824, + "fos_yielding": 3.7656029737109455, + "deflection": 0.019266215182646953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_1611", + "improvement_over_parent": null + }, + "node_1613": { + "node_id": "node_1613", + "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0044)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n Mass: 163.13 kg\n Factor of Safety: 0.47\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.13009310810773, + "fos_buckling": 0.4697258599124828, + "fos_yielding": 4.093592062342633, + "deflection": 0.019055709202295965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.468)" + }, + "parent_node_id": "node_1612", + "improvement_over_parent": null + }, + "node_1614": { + "node_id": "node_1614", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0051)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0075)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n Mass: 187.53 kg\n Factor of Safety: 0.54\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.5258985082702, + "fos_buckling": 0.5352541048218457, + "fos_yielding": 4.697835804019673, + "deflection": 0.016601630677726114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1613", + "improvement_over_parent": null + }, + "node_1615": { + "node_id": "node_1615", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0051)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0075)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n Mass: 200.65 kg\n Factor of Safety: 0.99\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.65357043010866, + "fos_buckling": 0.99125613290335, + "fos_yielding": 4.785968070813269, + "deflection": 0.014564151352397409, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004925)" + }, + "parent_node_id": "node_1614", + "improvement_over_parent": null + }, + "node_1616": { + "node_id": "node_1616", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0066)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0097)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 254.36 kg\n Factor of Safety: 1.23\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.35533475238893, + "fos_buckling": 1.2284437798141106, + "fos_yielding": 6.0700264348014015, + "deflection": 0.011548981502447049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1615", + "improvement_over_parent": null + }, + "node_1617": { + "node_id": "node_1617", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1616", + "improvement_over_parent": null + }, + "node_1618": { + "node_id": "node_1618", + "content": "INITIAL DESIGN (Trace 230)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 143.18 kg\n Factor of Safety: 0.79\n Max Deflection: 1.32e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.1767597293622, + "fos_buckling": 0.7932953023765443, + "fos_yielding": 3.389831017503978, + "deflection": 13185177801399.941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1619": { + "node_id": "node_1619", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 172.48 kg\n Factor of Safety: 0.32\n Max Deflection: 3.20e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.4830454094236, + "fos_buckling": 0.3150228637006457, + "fos_yielding": 1.694915508751989, + "deflection": 31978239376939.58, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_1618", + "improvement_over_parent": null + }, + "node_1620": { + "node_id": "node_1620", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 173.19 kg\n Factor of Safety: 0.81\n Max Deflection: 3.11e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.18736625634463, + "fos_buckling": 0.8054716417227716, + "fos_yielding": 7.22954000892543, + "deflection": 31051551533495.35, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_1619", + "improvement_over_parent": null + }, + "node_1621": { + "node_id": "node_1621", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 200.33 kg\n Factor of Safety: 0.44\n Max Deflection: 3.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.32588982472708, + "fos_buckling": 0.4439000582509161, + "fos_yielding": 1.879635629282906, + "deflection": 0.03149935017530279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_1620", + "improvement_over_parent": null + }, + "node_1622": { + "node_id": "node_1622", + "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 207.89 kg\n Factor of Safety: 0.44\n Max Deflection: 2.85e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.8941960446885, + "fos_buckling": 0.44341066378151067, + "fos_yielding": 1.8755309967977787, + "deflection": 0.028457893270978894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.447)" + }, + "parent_node_id": "node_1621", + "improvement_over_parent": null + }, + "node_1623": { + "node_id": "node_1623", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 233.02 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.01633769653535, + "fos_buckling": 0.9157498373681132, + "fos_yielding": 6.811611011115722, + "deflection": 0.014750485670569712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_1622", + "improvement_over_parent": null + }, + "node_1624": { + "node_id": "node_1624", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.28 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.28257851744266, + "fos_buckling": 1.5345060817882632, + "fos_yielding": 7.743301464586779, + "deflection": 0.011499994398277166, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1623", + "improvement_over_parent": null + }, + "node_1625": { + "node_id": "node_1625", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M8: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0081)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 255.56 kg\n Factor of Safety: 1.54\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.5595028840626, + "fos_buckling": 1.535147403748435, + "fos_yielding": 7.880340852441274, + "deflection": 0.011428644154995829, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.195)" + }, + "parent_node_id": "node_1624", + "improvement_over_parent": null + }, + "node_1626": { + "node_id": "node_1626", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1625", + "improvement_over_parent": null + }, + "node_1627": { + "node_id": "node_1627", + "content": "INITIAL DESIGN (Trace 231)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 120.12 kg\n Factor of Safety: 0.55\n Max Deflection: 2.80e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.1163123170081, + "fos_buckling": 0.55114735023036, + "fos_yielding": 3.114701186987711, + "deflection": 0.027968934504546024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1628": { + "node_id": "node_1628", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0027)]\n\nPerformance:\n Mass: 128.86 kg\n Factor of Safety: 0.55\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.85968454622136, + "fos_buckling": 0.5506704589118749, + "fos_yielding": 3.1120204191564427, + "deflection": 0.022648610669458554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.002676)" + }, + "parent_node_id": "node_1627", + "improvement_over_parent": null + }, + "node_1629": { + "node_id": "node_1629", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n\nPerformance:\n Mass: 161.25 kg\n Factor of Safety: 0.67\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.25063780492158, + "fos_buckling": 0.6723303269195371, + "fos_yielding": 3.886712488761265, + "deflection": 0.01815889730895732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1628", + "improvement_over_parent": null + }, + "node_1630": { + "node_id": "node_1630", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n\nPerformance:\n Mass: 173.04 kg\n Factor of Safety: 1.07\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.0370772235123, + "fos_buckling": 1.0692003073492529, + "fos_yielding": 5.893933810232153, + "deflection": 0.016621193988085453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004389)" + }, + "parent_node_id": "node_1629", + "improvement_over_parent": null + }, + "node_1631": { + "node_id": "node_1631", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n\nPerformance:\n Mass: 200.57 kg\n Factor of Safety: 1.21\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.56870129609777, + "fos_buckling": 1.2127822772344912, + "fos_yielding": 6.827812845706173, + "deflection": 0.014383926154482194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1630", + "improvement_over_parent": null + }, + "node_1632": { + "node_id": "node_1632", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 244.87 kg\n Factor of Safety: 1.43\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.87103646198602, + "fos_buckling": 1.4289314850817578, + "fos_yielding": 8.32753969952916, + "deflection": 0.011839880585979892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_1631", + "improvement_over_parent": null + }, + "node_1633": { + "node_id": "node_1633", + "content": "MODIFICATION: Increase 11 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0104)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 253.45 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.45498899978156, + "fos_buckling": 1.4294819029857881, + "fos_yielding": 8.686413518925455, + "deflection": 0.011686875362624258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.529)" + }, + "parent_node_id": "node_1632", + "improvement_over_parent": null + }, + "node_1634": { + "node_id": "node_1634", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1633", + "improvement_over_parent": null + }, + "node_1635": { + "node_id": "node_1635", + "content": "INITIAL DESIGN (Trace 232)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 189.50 kg\n Factor of Safety: 0.81\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.50006522171805, + "fos_buckling": 0.8087146898592219, + "fos_yielding": 4.806133168071697, + "deflection": 0.018201369098954853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1636": { + "node_id": "node_1636", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n\nPerformance:\n Mass: 199.17 kg\n Factor of Safety: 0.82\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.17260098144482, + "fos_buckling": 0.822482558549678, + "fos_yielding": 5.9808669405732156, + "deflection": 0.016959338146260806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.003561)" + }, + "parent_node_id": "node_1635", + "improvement_over_parent": null + }, + "node_1637": { + "node_id": "node_1637", + "content": "MODIFICATION: Increase 11 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0091)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n\nPerformance:\n Mass: 207.15 kg\n Factor of Safety: 0.82\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.15271459366875, + "fos_buckling": 0.8215275544650888, + "fos_yielding": 5.973922413545557, + "deflection": 0.016757948353919146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.550)" + }, + "parent_node_id": "node_1636", + "improvement_over_parent": null + }, + "node_1638": { + "node_id": "node_1638", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0105)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n\nPerformance:\n Mass: 236.59 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.591490909877, + "fos_buckling": 0.9154896837113745, + "fos_yielding": 6.807319721015005, + "deflection": 0.014713910506117246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1637", + "improvement_over_parent": null + }, + "node_1639": { + "node_id": "node_1639", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0105)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 251.95 kg\n Factor of Safety: 1.45\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.95258729506781, + "fos_buckling": 1.4524527442560327, + "fos_yielding": 8.755033552854167, + "deflection": 0.011599163498024319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005575)" + }, + "parent_node_id": "node_1638", + "improvement_over_parent": null + }, + "node_1640": { + "node_id": "node_1640", + "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0104)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0105)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 258.15 kg\n Factor of Safety: 1.45\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.1475637231884, + "fos_buckling": 1.4542283939988323, + "fos_yielding": 8.469225885908516, + "deflection": 0.011294228072718706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.279)" + }, + "parent_node_id": "node_1639", + "improvement_over_parent": null + }, + "node_1641": { + "node_id": "node_1641", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1640", + "improvement_over_parent": null + }, + "node_1642": { + "node_id": "node_1642", + "content": "INITIAL DESIGN (Trace 233)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 159.82 kg\n Factor of Safety: 1.34\n Max Deflection: 8.83e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.8155081708189, + "fos_buckling": 1.3403331319998109, + "fos_yielding": 9.139887085161279, + "deflection": 8832716486810.875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1643": { + "node_id": "node_1643", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n Mass: 182.68 kg\n Factor of Safety: 0.80\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.67809554319095, + "fos_buckling": 0.7972927972848916, + "fos_yielding": 3.5769299192847477, + "deflection": 0.02034333598365449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006757)" + }, + "parent_node_id": "node_1642", + "improvement_over_parent": null + }, + "node_1644": { + "node_id": "node_1644", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n Mass: 185.07 kg\n Factor of Safety: 0.80\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.06802022607513, + "fos_buckling": 0.7971075578721071, + "fos_yielding": 4.30434461391355, + "deflection": 0.019087456355497162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.215)" + }, + "parent_node_id": "node_1643", + "improvement_over_parent": null + }, + "node_1645": { + "node_id": "node_1645", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 1.27\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.6813549212328, + "fos_buckling": 1.2720406352588434, + "fos_yielding": 5.965552984914628, + "deflection": 0.01422045050816015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006258)" + }, + "parent_node_id": "node_1644", + "improvement_over_parent": null + }, + "node_1646": { + "node_id": "node_1646", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 243.00 kg\n Factor of Safety: 1.46\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.0045383412761, + "fos_buckling": 1.4586966819642255, + "fos_yielding": 7.08431034610659, + "deflection": 0.012028052319962186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_1645", + "improvement_over_parent": null + }, + "node_1647": { + "node_id": "node_1647", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 243.71 kg\n Factor of Safety: 1.44\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.70885918819712, + "fos_buckling": 1.4353863056554104, + "fos_yielding": 7.328124274516476, + "deflection": 0.012003866035164332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_1646", + "improvement_over_parent": null + }, + "node_1648": { + "node_id": "node_1648", + "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n\nPerformance:\n Mass: 243.84 kg\n Factor of Safety: 1.43\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.8447888516038, + "fos_buckling": 1.4316584958634553, + "fos_yielding": 7.337532429956412, + "deflection": 0.012003156133039917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.217)" + }, + "parent_node_id": "node_1647", + "improvement_over_parent": null + }, + "node_1649": { + "node_id": "node_1649", + "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n\nPerformance:\n Mass: 249.46 kg\n Factor of Safety: 1.43\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.45977529104718, + "fos_buckling": 1.4301304832932156, + "fos_yielding": 7.770961023406894, + "deflection": 0.011573389744207008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.366)" + }, + "parent_node_id": "node_1648", + "improvement_over_parent": null + }, + "node_1650": { + "node_id": "node_1650", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1649", + "improvement_over_parent": null + }, + "node_1651": { + "node_id": "node_1651", + "content": "INITIAL DESIGN (Trace 234)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 118.52 kg\n Factor of Safety: 0.51\n Max Deflection: 3.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.51952974311492, + "fos_buckling": 0.5123219757325682, + "fos_yielding": 2.912238148316127, + "deflection": 0.0306851161621608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1652": { + "node_id": "node_1652", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 146.35 kg\n Factor of Safety: 0.62\n Max Deflection: 2.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.34707713545578, + "fos_buckling": 0.6219224461449475, + "fos_yielding": 3.6152677250848404, + "deflection": 0.024909961734051998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_1651", + "improvement_over_parent": null + }, + "node_1653": { + "node_id": "node_1653", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n\nPerformance:\n Mass: 147.96 kg\n Factor of Safety: 0.62\n Max Deflection: 2.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.96290727938236, + "fos_buckling": 0.6246915547577565, + "fos_yielding": 4.357633349721683, + "deflection": 0.023004959931492944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002491)" + }, + "parent_node_id": "node_1652", + "improvement_over_parent": null + }, + "node_1654": { + "node_id": "node_1654", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n Mass: 168.10 kg\n Factor of Safety: 0.70\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.09531148940718, + "fos_buckling": 0.697901135182951, + "fos_yielding": 4.940472175153489, + "deflection": 0.020296243263768853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_1653", + "improvement_over_parent": null + }, + "node_1655": { + "node_id": "node_1655", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n Mass: 201.05 kg\n Factor of Safety: 0.81\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.04877610038113, + "fos_buckling": 0.8117630359260666, + "fos_yielding": 5.889380532646646, + "deflection": 0.01703321792460442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1654", + "improvement_over_parent": null + }, + "node_1656": { + "node_id": "node_1656", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 217.67 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.66775087700185, + "fos_buckling": 1.3605769818838327, + "fos_yielding": 6.674606834219976, + "deflection": 0.013271077695126837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006069)" + }, + "parent_node_id": "node_1655", + "improvement_over_parent": null + }, + "node_1657": { + "node_id": "node_1657", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3450288781106, + "fos_buckling": 1.5340425410094336, + "fos_yielding": 7.7410119141671005, + "deflection": 0.01149263630096401, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1656", + "improvement_over_parent": null + }, + "node_1658": { + "node_id": "node_1658", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1657", + "improvement_over_parent": null + }, + "node_1659": { + "node_id": "node_1659", + "content": "INITIAL DESIGN (Trace 235)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 173.88 kg\n Factor of Safety: 0.71\n Max Deflection: 6.49e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.8847910289323, + "fos_buckling": 0.7115688680679065, + "fos_yielding": 5.232844065358068, + "deflection": 649146120171.0383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1660": { + "node_id": "node_1660", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n\nPerformance:\n Mass: 188.42 kg\n Factor of Safety: 0.72\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.41532963898476, + "fos_buckling": 0.7234953200566971, + "fos_yielding": 5.319780055153459, + "deflection": 0.020457777613964567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005495)" + }, + "parent_node_id": "node_1659", + "improvement_over_parent": null + }, + "node_1661": { + "node_id": "node_1661", + "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n\nPerformance:\n Mass: 195.51 kg\n Factor of Safety: 0.73\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.51069678417753, + "fos_buckling": 0.7250268903659637, + "fos_yielding": 5.330942370728101, + "deflection": 0.020461385563565988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.555)" + }, + "parent_node_id": "node_1660", + "improvement_over_parent": null + }, + "node_1662": { + "node_id": "node_1662", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 212.30 kg\n Factor of Safety: 0.77\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.30402907669315, + "fos_buckling": 0.7695046052212257, + "fos_yielding": 5.654921655807304, + "deflection": 0.020402135971965166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006138)" + }, + "parent_node_id": "node_1661", + "improvement_over_parent": null + }, + "node_1663": { + "node_id": "node_1663", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 212.92 kg\n Factor of Safety: 0.69\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.91812486271778, + "fos_buckling": 0.6893146748288332, + "fos_yielding": 3.9623377277206013, + "deflection": 0.01849600152250304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001840)" + }, + "parent_node_id": "node_1662", + "improvement_over_parent": null + }, + "node_1664": { + "node_id": "node_1664", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0078)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 218.16 kg\n Factor of Safety: 0.69\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.15615846657306, + "fos_buckling": 0.6877919193372278, + "fos_yielding": 4.192279136244978, + "deflection": 0.018317722678893093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.460)" + }, + "parent_node_id": "node_1663", + "improvement_over_parent": null + }, + "node_1665": { + "node_id": "node_1665", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0091)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0099)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 249.93 kg\n Factor of Safety: 0.77\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.93040098733047, + "fos_buckling": 0.7712435346925687, + "fos_yielding": 4.803939746278836, + "deflection": 0.016015134457896246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1664", + "improvement_over_parent": null + }, + "node_1666": { + "node_id": "node_1666", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0091)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0099)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.23\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.47639314839262, + "fos_buckling": 1.2344170314435539, + "fos_yielding": 7.756863968822804, + "deflection": 0.012205459310338248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_1665", + "improvement_over_parent": null + }, + "node_1667": { + "node_id": "node_1667", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1666", + "improvement_over_parent": null + }, + "node_1668": { + "node_id": "node_1668", + "content": "INITIAL DESIGN (Trace 236)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n\nPerformance:\n Mass: 133.73 kg\n Factor of Safety: 0.07\n Max Deflection: 3.52e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.73369315279726, + "fos_buckling": 0.06925307720165384, + "fos_yielding": 0.05296610964849966, + "deflection": 352165348717565.4, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1669": { + "node_id": "node_1669", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n\nPerformance:\n Mass: 144.79 kg\n Factor of Safety: 0.30\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.78617164012817, + "fos_buckling": 0.30019614319831023, + "fos_yielding": 3.6918117969357755, + "deflection": 0.02171243411591981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003953)" + }, + "parent_node_id": "node_1668", + "improvement_over_parent": null + }, + "node_1670": { + "node_id": "node_1670", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0025)]\n\nPerformance:\n Mass: 152.21 kg\n Factor of Safety: 0.81\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.20949329669426, + "fos_buckling": 0.8075604382504898, + "fos_yielding": 3.892093959385155, + "deflection": 0.01881120933666437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.002546)" + }, + "parent_node_id": "node_1669", + "improvement_over_parent": null + }, + "node_1671": { + "node_id": "node_1671", + "content": "MODIFICATION: Increase 15 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 156.34 kg\n Factor of Safety: 0.82\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.34242254711194, + "fos_buckling": 0.8201637047837509, + "fos_yielding": 3.893051139466049, + "deflection": 0.01846004747911412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.587)" + }, + "parent_node_id": "node_1670", + "improvement_over_parent": null + }, + "node_1672": { + "node_id": "node_1672", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 179.83 kg\n Factor of Safety: 0.93\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.83494339295012, + "fos_buckling": 0.9333165488103423, + "fos_yielding": 4.474024193854898, + "deflection": 0.016091144588544274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_1671", + "improvement_over_parent": null + }, + "node_1673": { + "node_id": "node_1673", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 219.06 kg\n Factor of Safety: 1.12\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.05670637511085, + "fos_buckling": 1.1165018374363305, + "fos_yielding": 5.44306374864238, + "deflection": 0.013268372041252398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1672", + "improvement_over_parent": null + }, + "node_1674": { + "node_id": "node_1674", + "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 219.73 kg\n Factor of Safety: 1.37\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.73055004219307, + "fos_buckling": 1.37118652462177, + "fos_yielding": 6.7379597283214085, + "deflection": 0.013149299827820019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.618)" + }, + "parent_node_id": "node_1673", + "improvement_over_parent": null + }, + "node_1675": { + "node_id": "node_1675", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.53093517958735, + "fos_buckling": 1.5348989577293188, + "fos_yielding": 7.746668279221934, + "deflection": 0.011484175340494134, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_1674", + "improvement_over_parent": null + }, + "node_1676": { + "node_id": "node_1676", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1675", + "improvement_over_parent": null + }, + "node_1677": { + "node_id": "node_1677", + "content": "INITIAL DESIGN (Trace 237)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 162.29 kg\n Factor of Safety: 0.33\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.29027181743447, + "fos_buckling": 0.3310788250292578, + "fos_yielding": 4.108235972452732, + "deflection": 0.019325897147489442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1678": { + "node_id": "node_1678", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 175.21 kg\n Factor of Safety: 1.13\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.20951358976404, + "fos_buckling": 1.1321887581568502, + "fos_yielding": 5.369681761444614, + "deflection": 0.016407212270392806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004547)" + }, + "parent_node_id": "node_1677", + "improvement_over_parent": null + }, + "node_1679": { + "node_id": "node_1679", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 226.56 kg\n Factor of Safety: 1.41\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.55614118102733, + "fos_buckling": 1.4060553164774037, + "fos_yielding": 6.947385539366965, + "deflection": 0.012763348602950914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1678", + "improvement_over_parent": null + }, + "node_1680": { + "node_id": "node_1680", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5325385618508, + "fos_buckling": 1.5348473792549115, + "fos_yielding": 7.746255490876292, + "deflection": 0.011484351796606987, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1679", + "improvement_over_parent": null + }, + "node_1681": { + "node_id": "node_1681", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1680", + "improvement_over_parent": null + }, + "node_1682": { + "node_id": "node_1682", + "content": "INITIAL DESIGN (Trace 238)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 131.93 kg\n Factor of Safety: 0.76\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.93445040743256, + "fos_buckling": 0.7568256936599631, + "fos_yielding": 4.057657944502873, + "deflection": 0.022156393664698928, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1683": { + "node_id": "node_1683", + "content": "MODIFICATION: Increase 0 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 136.73 kg\n Factor of Safety: 0.85\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.72785584688103, + "fos_buckling": 0.8531566588694246, + "fos_yielding": 4.4655724199249835, + "deflection": 0.020734251035046565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.634)" + }, + "parent_node_id": "node_1682", + "improvement_over_parent": null + }, + "node_1684": { + "node_id": "node_1684", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 172.39 kg\n Factor of Safety: 1.05\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.39483724738443, + "fos_buckling": 1.0547545390687458, + "fos_yielding": 5.630087615106843, + "deflection": 0.016512748727853663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1683", + "improvement_over_parent": null + }, + "node_1685": { + "node_id": "node_1685", + "content": "MODIFICATION: Increase 13 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 174.67 kg\n Factor of Safety: 1.08\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.67330716390993, + "fos_buckling": 1.0836312253530713, + "fos_yielding": 5.760526993384975, + "deflection": 0.01638087429481143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.217)" + }, + "parent_node_id": "node_1684", + "improvement_over_parent": null + }, + "node_1686": { + "node_id": "node_1686", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 211.89 kg\n Factor of Safety: 1.29\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.89427564827704, + "fos_buckling": 1.2853657233590083, + "fos_yielding": 6.98575984670919, + "deflection": 0.013561733624443507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1685", + "improvement_over_parent": null + }, + "node_1687": { + "node_id": "node_1687", + "content": "MODIFICATION: Increase 3 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 215.41 kg\n Factor of Safety: 1.37\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.4114425516905, + "fos_buckling": 1.3653997408712089, + "fos_yielding": 6.724836014536283, + "deflection": 0.013350293317408422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.289)" + }, + "parent_node_id": "node_1686", + "improvement_over_parent": null + }, + "node_1688": { + "node_id": "node_1688", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.79 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 248.7881266455737, + "fos_buckling": 1.5344969424445685, + "fos_yielding": 7.768372940842406, + "deflection": 0.011604050627068081, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1687", + "improvement_over_parent": null + }, + "node_1689": { + "node_id": "node_1689", + "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.38898840330341, + "fos_buckling": 1.5339854650376452, + "fos_yielding": 7.742195849515409, + "deflection": 0.011490560780171901, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.335)" + }, + "parent_node_id": "node_1688", + "improvement_over_parent": null + }, + "node_1690": { + "node_id": "node_1690", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1689", + "improvement_over_parent": null + }, + "node_1691": { + "node_id": "node_1691", + "content": "INITIAL DESIGN (Trace 239)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n Mass: 133.75 kg\n Factor of Safety: 0.11\n Max Deflection: 2.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.7503254521251, + "fos_buckling": 0.1115124925500263, + "fos_yielding": 1.666633842154536, + "deflection": 0.025184968747733898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1692": { + "node_id": "node_1692", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 145.66 kg\n Factor of Safety: 0.28\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.6595724081858, + "fos_buckling": 0.27606079465634425, + "fos_yielding": 3.4345639673353787, + "deflection": 0.021141249380600427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004171)" + }, + "parent_node_id": "node_1691", + "improvement_over_parent": null + }, + "node_1693": { + "node_id": "node_1693", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n\nPerformance:\n Mass: 157.72 kg\n Factor of Safety: 1.05\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.7176609608178, + "fos_buckling": 1.0528637580109708, + "fos_yielding": 4.718255306789499, + "deflection": 0.018674698962250092, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004197)" + }, + "parent_node_id": "node_1692", + "improvement_over_parent": null + }, + "node_1694": { + "node_id": "node_1694", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n\nPerformance:\n Mass: 174.34 kg\n Factor of Safety: 1.15\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.33650693529017, + "fos_buckling": 1.148558531175052, + "fos_yielding": 5.216581773887638, + "deflection": 0.01692336162677478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_1693", + "improvement_over_parent": null + }, + "node_1695": { + "node_id": "node_1695", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 210.54 kg\n Factor of Safety: 1.35\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.5417622265089, + "fos_buckling": 1.3471902991908034, + "fos_yielding": 6.303106161199304, + "deflection": 0.01406499698633312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_1694", + "improvement_over_parent": null + }, + "node_1696": { + "node_id": "node_1696", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 246.65 kg\n Factor of Safety: 1.53\n Max Deflection: 1.20e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 246.65016200459795, + "fos_buckling": 1.5319729566540472, + "fos_yielding": 7.38802084812771, + "deflection": 0.012049771266264317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1695", + "improvement_over_parent": null + }, + "node_1697": { + "node_id": "node_1697", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.43254226663456, + "fos_buckling": 1.5344300936514064, + "fos_yielding": 7.743044394184523, + "deflection": 0.01148903183335543, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.312)" + }, + "parent_node_id": "node_1696", + "improvement_over_parent": null + }, + "node_1698": { + "node_id": "node_1698", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1697", + "improvement_over_parent": null + }, + "node_1699": { + "node_id": "node_1699", + "content": "INITIAL DESIGN (Trace 240)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 166.93 kg\n Factor of Safety: 0.29\n Max Deflection: 1.02e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.93219273905464, + "fos_buckling": 0.29397214406569494, + "fos_yielding": 0.4237288771879973, + "deflection": 101920361005205.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1700": { + "node_id": "node_1700", + "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 169.90 kg\n Factor of Safety: 0.05\n Max Deflection: 1.12e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.90292833207548, + "fos_buckling": 0.05451816083722617, + "fos_yielding": 0.8474577543759946, + "deflection": 111532811485027.61, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.328)" + }, + "parent_node_id": "node_1699", + "improvement_over_parent": null + }, + "node_1701": { + "node_id": "node_1701", + "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 172.33 kg\n Factor of Safety: 0.21\n Max Deflection: 3.18e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.32713595089226, + "fos_buckling": 0.2097478332560978, + "fos_yielding": 0.8474577543759946, + "deflection": 31839681840290.09, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.218)" + }, + "parent_node_id": "node_1700", + "improvement_over_parent": null + }, + "node_1702": { + "node_id": "node_1702", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 198.74 kg\n Factor of Safety: 0.20\n Max Deflection: 3.94e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.7379799854552, + "fos_buckling": 0.2013031471385411, + "fos_yielding": 0.8474577543759946, + "deflection": 39411729983458.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1701", + "improvement_over_parent": null + }, + "node_1703": { + "node_id": "node_1703", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 201.28 kg\n Factor of Safety: 0.43\n Max Deflection: 8.99e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.28397214651736, + "fos_buckling": 0.425957544037963, + "fos_yielding": 3.3898310175039783, + "deflection": 8989914097587.03, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_1702", + "improvement_over_parent": null + }, + "node_1704": { + "node_id": "node_1704", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 228.42 kg\n Factor of Safety: 0.92\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4224957148998, + "fos_buckling": 0.9163899226692275, + "fos_yielding": 6.813697592008094, + "deflection": 0.015152778103232433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_1703", + "improvement_over_parent": null + }, + "node_1705": { + "node_id": "node_1705", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 247.69 kg\n Factor of Safety: 1.38\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.68873653580712, + "fos_buckling": 1.3819549594796885, + "fos_yielding": 8.046775728711417, + "deflection": 0.011886621192467915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1704", + "improvement_over_parent": null + }, + "node_1706": { + "node_id": "node_1706", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0078)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 251.03 kg\n Factor of Safety: 1.38\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.0266382386155, + "fos_buckling": 1.3840924023176167, + "fos_yielding": 8.0644291893574, + "deflection": 0.011822363781070757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.256)" + }, + "parent_node_id": "node_1705", + "improvement_over_parent": null + }, + "node_1707": { + "node_id": "node_1707", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1706", + "improvement_over_parent": null + }, + "node_1708": { + "node_id": "node_1708", + "content": "INITIAL DESIGN (Trace 241)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 243.56 kg\n Factor of Safety: 1.22\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.55933689125607, + "fos_buckling": 1.2239001151851636, + "fos_yielding": 7.65844772829566, + "deflection": 0.012343462772184467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1709": { + "node_id": "node_1709", + "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.61 kg\n Factor of Safety: 1.30\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.6087860961891, + "fos_buckling": 1.2985782371714973, + "fos_yielding": 7.787548843797889, + "deflection": 0.01156194554444152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.517)" + }, + "parent_node_id": "node_1708", + "improvement_over_parent": null + }, + "node_1710": { + "node_id": "node_1710", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.94 kg\n Factor of Safety: 1.30\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.94370412908748, + "fos_buckling": 1.2984770689782106, + "fos_yielding": 7.7342570518914355, + "deflection": 0.011527218539090405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.205)" + }, + "parent_node_id": "node_1709", + "improvement_over_parent": null + }, + "node_1711": { + "node_id": "node_1711", + "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4771028385416, + "fos_buckling": 1.5345903789681477, + "fos_yielding": 7.744207434086271, + "deflection": 0.011486655730992848, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.529)" + }, + "parent_node_id": "node_1710", + "improvement_over_parent": null + }, + "node_1712": { + "node_id": "node_1712", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1711", + "improvement_over_parent": null + }, + "node_1713": { + "node_id": "node_1713", + "content": "INITIAL DESIGN (Trace 242)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 193.12 kg\n Factor of Safety: 0.39\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.12228140704426, + "fos_buckling": 0.385546650703055, + "fos_yielding": 4.462665495549945, + "deflection": 0.01603407490325442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1714": { + "node_id": "node_1714", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n Mass: 209.43 kg\n Factor of Safety: 1.16\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.43228574701956, + "fos_buckling": 1.1621200676815733, + "fos_yielding": 6.316670340949308, + "deflection": 0.013840863054482243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005797)" + }, + "parent_node_id": "node_1713", + "improvement_over_parent": null + }, + "node_1715": { + "node_id": "node_1715", + "content": "MODIFICATION: Increase 14 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0077)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n Mass: 214.37 kg\n Factor of Safety: 1.16\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.37480637731616, + "fos_buckling": 1.161677396363184, + "fos_yielding": 6.298345854322417, + "deflection": 0.013700883005155722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.342)" + }, + "parent_node_id": "node_1714", + "improvement_over_parent": null + }, + "node_1716": { + "node_id": "node_1716", + "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0077)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n Mass: 219.71 kg\n Factor of Safety: 1.36\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.7120697743075, + "fos_buckling": 1.3641968051241864, + "fos_yielding": 6.655112064690587, + "deflection": 0.013209752667735648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.318)" + }, + "parent_node_id": "node_1715", + "improvement_over_parent": null + }, + "node_1717": { + "node_id": "node_1717", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0091)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 253.84 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.83814419920455, + "fos_buckling": 1.5340817527751254, + "fos_yielding": 7.694606204472433, + "deflection": 0.011475605846038076, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1716", + "improvement_over_parent": null + }, + "node_1718": { + "node_id": "node_1718", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1717", + "improvement_over_parent": null + }, + "node_1719": { + "node_id": "node_1719", + "content": "INITIAL DESIGN (Trace 243)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0011)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n\nPerformance:\n Mass: 96.55 kg\n Factor of Safety: 0.22\n Max Deflection: 3.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.54764879117295, + "fos_buckling": 0.21654575137140478, + "fos_yielding": 2.5795863844013676, + "deflection": 0.03098145851870779, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1720": { + "node_id": "node_1720", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0013)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n\nPerformance:\n Mass: 114.32 kg\n Factor of Safety: 0.25\n Max Deflection: 2.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.32172062921643, + "fos_buckling": 0.2521457999483918, + "fos_yielding": 3.041534655698414, + "deflection": 0.026229062636990076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1719", + "improvement_over_parent": null + }, + "node_1721": { + "node_id": "node_1721", + "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0019)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n\nPerformance:\n Mass: 115.92 kg\n Factor of Safety: 0.25\n Max Deflection: 2.62e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.92361781228368, + "fos_buckling": 0.25219194079965246, + "fos_yielding": 3.0405950454250084, + "deflection": 0.026232805907976196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.499)" + }, + "parent_node_id": "node_1720", + "improvement_over_parent": null + }, + "node_1722": { + "node_id": "node_1722", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n\nPerformance:\n Mass: 151.85 kg\n Factor of Safety: 0.32\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.8528025129146, + "fos_buckling": 0.3193612128380961, + "fos_yielding": 3.9492457111675137, + "deflection": 0.02012495688782306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1721", + "improvement_over_parent": null + }, + "node_1723": { + "node_id": "node_1723", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 164.25 kg\n Factor of Safety: 1.05\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.24686961482809, + "fos_buckling": 1.0496095930700489, + "fos_yielding": 5.18127839465618, + "deflection": 0.017403567225677482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004351)" + }, + "parent_node_id": "node_1722", + "improvement_over_parent": null + }, + "node_1724": { + "node_id": "node_1724", + "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 168.04 kg\n Factor of Safety: 1.09\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.04034404242734, + "fos_buckling": 1.0919626223423242, + "fos_yielding": 5.149968745105334, + "deflection": 0.017092662015829766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.623)" + }, + "parent_node_id": "node_1723", + "improvement_over_parent": null + }, + "node_1725": { + "node_id": "node_1725", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 205.38 kg\n Factor of Safety: 1.30\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.37658619866593, + "fos_buckling": 1.2962838460268904, + "fos_yielding": 6.296897978458498, + "deflection": 0.014045214270591765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1724", + "improvement_over_parent": null + }, + "node_1726": { + "node_id": "node_1726", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.51024908262272, + "fos_buckling": 1.534822839602522, + "fos_yielding": 7.746186753887482, + "deflection": 0.011485029272318686, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1725", + "improvement_over_parent": null + }, + "node_1727": { + "node_id": "node_1727", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1726", + "improvement_over_parent": null + }, + "node_1728": { + "node_id": "node_1728", + "content": "INITIAL DESIGN (Trace 244)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n\nPerformance:\n Mass: 141.82 kg\n Factor of Safety: 0.62\n Max Deflection: 8.17e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.8178788092909, + "fos_buckling": 0.6240981425851297, + "fos_yielding": 4.502634728470543, + "deflection": 817058786547.2434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1729": { + "node_id": "node_1729", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n\nPerformance:\n Mass: 143.74 kg\n Factor of Safety: 0.62\n Max Deflection: 2.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.74067429953925, + "fos_buckling": 0.6209465948125122, + "fos_yielding": 4.4800657235298464, + "deflection": 0.023256976971339566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002997)" + }, + "parent_node_id": "node_1728", + "improvement_over_parent": null + }, + "node_1730": { + "node_id": "node_1730", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 158.29 kg\n Factor of Safety: 0.62\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.2883196193206, + "fos_buckling": 0.6200774780137012, + "fos_yielding": 4.473841467229274, + "deflection": 0.019245952836140442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005259)" + }, + "parent_node_id": "node_1729", + "improvement_over_parent": null + }, + "node_1731": { + "node_id": "node_1731", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 172.34 kg\n Factor of Safety: 0.71\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.34443953927976, + "fos_buckling": 0.7119857793103154, + "fos_yielding": 4.148164351988447, + "deflection": 0.01700718145423197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004975)" + }, + "parent_node_id": "node_1730", + "improvement_over_parent": null + }, + "node_1732": { + "node_id": "node_1732", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 191.70 kg\n Factor of Safety: 0.78\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.70469592302297, + "fos_buckling": 0.780091388711345, + "fos_yielding": 4.608748605952945, + "deflection": 0.015319717128651189, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1731", + "improvement_over_parent": null + }, + "node_1733": { + "node_id": "node_1733", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 228.62 kg\n Factor of Safety: 0.90\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.61906426767814, + "fos_buckling": 0.9033311226638726, + "fos_yielding": 5.48385525502526, + "deflection": 0.01289419031892046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1732", + "improvement_over_parent": null + }, + "node_1734": { + "node_id": "node_1734", + "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 236.50 kg\n Factor of Safety: 0.90\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.49702446637667, + "fos_buckling": 0.904035252552407, + "fos_yielding": 5.975660077403564, + "deflection": 0.01274723876518837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.513)" + }, + "parent_node_id": "node_1733", + "improvement_over_parent": null + }, + "node_1735": { + "node_id": "node_1735", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 253.17 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.16730827263376, + "fos_buckling": 1.432748051329713, + "fos_yielding": 8.356045301734612, + "deflection": 0.011697702259433958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_1734", + "improvement_over_parent": null + }, + "node_1736": { + "node_id": "node_1736", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1735", + "improvement_over_parent": null + }, + "node_1737": { + "node_id": "node_1737", + "content": "INITIAL DESIGN (Trace 245)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 174.87 kg\n Factor of Safety: 0.57\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.86756303574083, + "fos_buckling": 0.5749538753533229, + "fos_yielding": 4.121201956546325, + "deflection": 0.020374654880522942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1738": { + "node_id": "node_1738", + "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 179.70 kg\n Factor of Safety: 0.57\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.6954305490966, + "fos_buckling": 0.574548830163207, + "fos_yielding": 4.118298640121213, + "deflection": 0.020184853363432755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.493)" + }, + "parent_node_id": "node_1737", + "improvement_over_parent": null + }, + "node_1739": { + "node_id": "node_1739", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 186.06 kg\n Factor of Safety: 0.77\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.06494661193227, + "fos_buckling": 0.7747678021326085, + "fos_yielding": 5.57074862049906, + "deflection": 0.018023817043886083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.435)" + }, + "parent_node_id": "node_1738", + "improvement_over_parent": null + }, + "node_1740": { + "node_id": "node_1740", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 228.43 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4291249512568, + "fos_buckling": 0.9164482859666432, + "fos_yielding": 6.8100021126873935, + "deflection": 0.014752126293957012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1739", + "improvement_over_parent": null + }, + "node_1741": { + "node_id": "node_1741", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 229.13 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.13344579817783, + "fos_buckling": 0.9163858047718104, + "fos_yielding": 6.809537823457625, + "deflection": 0.014735072519482651, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_1740", + "improvement_over_parent": null + }, + "node_1742": { + "node_id": "node_1742", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.41928540027507, + "fos_buckling": 1.5348460585270416, + "fos_yielding": 7.742723972378456, + "deflection": 0.011489408220995496, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_1741", + "improvement_over_parent": null + }, + "node_1743": { + "node_id": "node_1743", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1742", + "improvement_over_parent": null + }, + "node_1744": { + "node_id": "node_1744", + "content": "INITIAL DESIGN (Trace 246)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0024)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 183.37 kg\n Factor of Safety: 1.07\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.3724603956263, + "fos_buckling": 1.0749904851079763, + "fos_yielding": 6.2066274515494095, + "deflection": 0.01550336089635983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1745": { + "node_id": "node_1745", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 214.23 kg\n Factor of Safety: 1.23\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.23283187924932, + "fos_buckling": 1.2296485489478937, + "fos_yielding": 7.2464002591273795, + "deflection": 0.013315989192663183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_1744", + "improvement_over_parent": null + }, + "node_1746": { + "node_id": "node_1746", + "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 216.60 kg\n Factor of Safety: 1.31\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.6045382893828, + "fos_buckling": 1.305843946800184, + "fos_yielding": 7.025690375268313, + "deflection": 0.013209400701014309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.316)" + }, + "parent_node_id": "node_1745", + "improvement_over_parent": null + }, + "node_1747": { + "node_id": "node_1747", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 247.61 kg\n Factor of Safety: 1.46\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.60512741256423, + "fos_buckling": 1.4604844196809332, + "fos_yielding": 8.028463294126537, + "deflection": 0.011596523561325298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1746", + "improvement_over_parent": null + }, + "node_1748": { + "node_id": "node_1748", + "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47864628562817, + "fos_buckling": 1.5345578674410654, + "fos_yielding": 7.744153182131664, + "deflection": 0.011486879434363429, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.453)" + }, + "parent_node_id": "node_1747", + "improvement_over_parent": null + }, + "node_1749": { + "node_id": "node_1749", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1748", + "improvement_over_parent": null + }, + "node_1750": { + "node_id": "node_1750", + "content": "INITIAL DESIGN (Trace 247)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 128.96 kg\n Factor of Safety: 0.57\n Max Deflection: 2.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.9556506294204, + "fos_buckling": 0.5720868341753849, + "fos_yielding": 2.442167592818683, + "deflection": 0.02953776673683226, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1751": { + "node_id": "node_1751", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 143.74 kg\n Factor of Safety: 0.63\n Max Deflection: 2.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.73761038352671, + "fos_buckling": 0.6296086993812599, + "fos_yielding": 2.724073514681199, + "deflection": 0.026525133835516964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1750", + "improvement_over_parent": null + }, + "node_1752": { + "node_id": "node_1752", + "content": "MODIFICATION: Increase 0 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 149.19 kg\n Factor of Safety: 0.63\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.19053783384248, + "fos_buckling": 0.6292736714764592, + "fos_yielding": 4.390534163224538, + "deflection": 0.02282147343140559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.647)" + }, + "parent_node_id": "node_1751", + "improvement_over_parent": null + }, + "node_1753": { + "node_id": "node_1753", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 182.86 kg\n Factor of Safety: 0.75\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.85878176788154, + "fos_buckling": 0.7498692388002597, + "fos_yielding": 5.363114858500167, + "deflection": 0.01869106525016441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_1752", + "improvement_over_parent": null + }, + "node_1754": { + "node_id": "node_1754", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n\nPerformance:\n Mass: 197.97 kg\n Factor of Safety: 1.26\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9734812375904, + "fos_buckling": 1.257072724763918, + "fos_yielding": 6.067894513436145, + "deflection": 0.014558872445951582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005479)" + }, + "parent_node_id": "node_1753", + "improvement_over_parent": null + }, + "node_1755": { + "node_id": "node_1755", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4392909177059, + "fos_buckling": 1.5347408009424393, + "fos_yielding": 7.742108146146203, + "deflection": 0.011488751559668896, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_1754", + "improvement_over_parent": null + }, + "node_1756": { + "node_id": "node_1756", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1755", + "improvement_over_parent": null + }, + "node_1757": { + "node_id": "node_1757", + "content": "INITIAL DESIGN (Trace 248)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 209.09 kg\n Factor of Safety: 1.15\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.0932375759835, + "fos_buckling": 1.1465735074445613, + "fos_yielding": 7.051906842881624, + "deflection": 0.01405115393111094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1758": { + "node_id": "node_1758", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.95 kg\n Factor of Safety: 1.30\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.94630632498058, + "fos_buckling": 1.3012096662642687, + "fos_yielding": 8.155549601345422, + "deflection": 0.012184747928682984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1757", + "improvement_over_parent": null + }, + "node_1759": { + "node_id": "node_1759", + "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.36 kg\n Factor of Safety: 1.33\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.361553030792, + "fos_buckling": 1.3287650947254537, + "fos_yielding": 7.714427021548182, + "deflection": 0.011605484857812147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.376)" + }, + "parent_node_id": "node_1758", + "improvement_over_parent": null + }, + "node_1760": { + "node_id": "node_1760", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.54295320039233, + "fos_buckling": 1.5348456115724711, + "fos_yielding": 7.745688158050083, + "deflection": 0.011483528703028257, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.435)" + }, + "parent_node_id": "node_1759", + "improvement_over_parent": null + }, + "node_1761": { + "node_id": "node_1761", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1760", + "improvement_over_parent": null + }, + "node_1762": { + "node_id": "node_1762", + "content": "INITIAL DESIGN (Trace 249)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 148.95 kg\n Factor of Safety: 0.98\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.9531727630462, + "fos_buckling": 0.9821520690262016, + "fos_yielding": 4.563661940921585, + "deflection": 0.019241228902329884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1763": { + "node_id": "node_1763", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 182.64 kg\n Factor of Safety: 1.17\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.63883561391899, + "fos_buckling": 1.1734162992683614, + "fos_yielding": 5.597883118753263, + "deflection": 0.01575316337866767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1762", + "improvement_over_parent": null + }, + "node_1764": { + "node_id": "node_1764", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 211.59 kg\n Factor of Safety: 1.33\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.58919336820523, + "fos_buckling": 1.3288886617461109, + "fos_yielding": 6.487356219671732, + "deflection": 0.013642836418443926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1763", + "improvement_over_parent": null + }, + "node_1765": { + "node_id": "node_1765", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4327961292523, + "fos_buckling": 1.5343724356264763, + "fos_yielding": 7.743239039938707, + "deflection": 0.011488729736732, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1764", + "improvement_over_parent": null + }, + "node_1766": { + "node_id": "node_1766", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1765", + "improvement_over_parent": null + }, + "node_1767": { + "node_id": "node_1767", + "content": "INITIAL DESIGN (Trace 250)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 152.30 kg\n Factor of Safety: 0.71\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.30083486448734, + "fos_buckling": 0.7059722867262076, + "fos_yielding": 2.0585999909430406, + "deflection": 0.0225485677777615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1768": { + "node_id": "node_1768", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 168.07 kg\n Factor of Safety: 0.77\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.07206231112954, + "fos_buckling": 0.7655228005496211, + "fos_yielding": 2.2669182465821005, + "deflection": 0.020474503387935106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_1767", + "improvement_over_parent": null + }, + "node_1769": { + "node_id": "node_1769", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 191.84 kg\n Factor of Safety: 0.85\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.83658679341627, + "fos_buckling": 0.850633564249473, + "fos_yielding": 2.5791065165976885, + "deflection": 0.01799354771457893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1768", + "improvement_over_parent": null + }, + "node_1770": { + "node_id": "node_1770", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 206.56 kg\n Factor of Safety: 0.90\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.56109440207385, + "fos_buckling": 0.9036633074512765, + "fos_yielding": 4.921790281743145, + "deflection": 0.0161661217889531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_1769", + "improvement_over_parent": null + }, + "node_1771": { + "node_id": "node_1771", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 229.85 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.8469340041711, + "fos_buckling": 0.9015856373108962, + "fos_yielding": 4.910588582071574, + "deflection": 0.012754501786523714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_1770", + "improvement_over_parent": null + }, + "node_1772": { + "node_id": "node_1772", + "content": "MODIFICATION: Increase 13 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0097)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 236.92 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.92326464257175, + "fos_buckling": 0.902216008991286, + "fos_yielding": 5.214407000854187, + "deflection": 0.01264478185510221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.560)" + }, + "parent_node_id": "node_1771", + "improvement_over_parent": null + }, + "node_1773": { + "node_id": "node_1773", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0097)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 253.59 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.5935484488288, + "fos_buckling": 1.5297578769410727, + "fos_yielding": 7.728569478512612, + "deflection": 0.011566187481540589, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_1772", + "improvement_over_parent": null + }, + "node_1774": { + "node_id": "node_1774", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1773", + "improvement_over_parent": null + }, + "node_1775": { + "node_id": "node_1775", + "content": "INITIAL DESIGN (Trace 251)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 140.81 kg\n Factor of Safety: 0.46\n Max Deflection: 2.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.80826741961332, + "fos_buckling": 0.4606012428711254, + "fos_yielding": 2.4759396323282155, + "deflection": 0.029215381089465718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1776": { + "node_id": "node_1776", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n\nPerformance:\n Mass: 157.96 kg\n Factor of Safety: 0.98\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.96454223276925, + "fos_buckling": 0.9803699585588231, + "fos_yielding": 4.879700004287917, + "deflection": 0.018086231849613877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004973)" + }, + "parent_node_id": "node_1775", + "improvement_over_parent": null + }, + "node_1777": { + "node_id": "node_1777", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 196.14 kg\n Factor of Safety: 1.19\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.14192545859288, + "fos_buckling": 1.1856072449371375, + "fos_yielding": 6.060975556441975, + "deflection": 0.014630795620984868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_1776", + "improvement_over_parent": null + }, + "node_1778": { + "node_id": "node_1778", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 249.80 kg\n Factor of Safety: 1.45\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.79869204732228, + "fos_buckling": 1.4538762599646087, + "fos_yielding": 7.7224124021169676, + "deflection": 0.011559766845843367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1777", + "improvement_over_parent": null + }, + "node_1779": { + "node_id": "node_1779", + "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.30 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.30074605881447, + "fos_buckling": 1.5337225101794996, + "fos_yielding": 7.739227297533461, + "deflection": 0.011494529261512145, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.225)" + }, + "parent_node_id": "node_1778", + "improvement_over_parent": null + }, + "node_1780": { + "node_id": "node_1780", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1779", + "improvement_over_parent": null + }, + "node_1781": { + "node_id": "node_1781", + "content": "INITIAL DESIGN (Trace 252)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0021)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0021)]\n\nPerformance:\n Mass: 117.34 kg\n Factor of Safety: 0.67\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.33617209297068, + "fos_buckling": 0.668209307041838, + "fos_yielding": 4.097369037122283, + "deflection": 0.02424197926876055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1782": { + "node_id": "node_1782", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n Mass: 149.54 kg\n Factor of Safety: 0.84\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.54265161492836, + "fos_buckling": 0.8356207557178108, + "fos_yielding": 5.219025313292055, + "deflection": 0.01909177504229866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1781", + "improvement_over_parent": null + }, + "node_1783": { + "node_id": "node_1783", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 179.57 kg\n Factor of Safety: 0.99\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.57065662329606, + "fos_buckling": 0.9856514791285347, + "fos_yielding": 6.263261341162626, + "deflection": 0.015954070819266294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_1782", + "improvement_over_parent": null + }, + "node_1784": { + "node_id": "node_1784", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 213.29 kg\n Factor of Safety: 1.15\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.2886048801844, + "fos_buckling": 1.1472355731114174, + "fos_yielding": 7.4337475165236295, + "deflection": 0.01348374637248624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_1783", + "improvement_over_parent": null + }, + "node_1785": { + "node_id": "node_1785", + "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 219.18 kg\n Factor of Safety: 1.15\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.17678696756528, + "fos_buckling": 1.1474028691264306, + "fos_yielding": 6.917799251917352, + "deflection": 0.013100578123149235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.567)" + }, + "parent_node_id": "node_1784", + "improvement_over_parent": null + }, + "node_1786": { + "node_id": "node_1786", + "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 219.42 kg\n Factor of Safety: 1.16\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.42372097564103, + "fos_buckling": 1.1591102823241317, + "fos_yielding": 6.921599136410754, + "deflection": 0.013077168447942463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.221)" + }, + "parent_node_id": "node_1785", + "improvement_over_parent": null + }, + "node_1787": { + "node_id": "node_1787", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 247.03 kg\n Factor of Safety: 1.28\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.02671747750622, + "fos_buckling": 1.2838388143955874, + "fos_yielding": 7.7929772506685975, + "deflection": 0.011653385020674326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1786", + "improvement_over_parent": null + }, + "node_1788": { + "node_id": "node_1788", + "content": "MODIFICATION: Increase 15 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.75 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.74528244512604, + "fos_buckling": 1.535955410255479, + "fos_yielding": 7.75288232245938, + "deflection": 0.011474743576292265, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.486)" + }, + "parent_node_id": "node_1787", + "improvement_over_parent": null + }, + "node_1789": { + "node_id": "node_1789", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1788", + "improvement_over_parent": null + }, + "node_1790": { + "node_id": "node_1790", + "content": "INITIAL DESIGN (Trace 253)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 174.92 kg\n Factor of Safety: 0.01\n Max Deflection: 1.66e+15 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.9218336620035, + "fos_buckling": 0.007353485952169877, + "fos_yielding": 0.026483054824249827, + "deflection": 1659921935106513.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1791": { + "node_id": "node_1791", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n\nPerformance:\n Mass: 185.87 kg\n Factor of Safety: 0.42\n Max Deflection: 2.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.87128672501524, + "fos_buckling": 0.41669404518447933, + "fos_yielding": 3.2858793664629196, + "deflection": 0.02444753776031114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003892)" + }, + "parent_node_id": "node_1790", + "improvement_over_parent": null + }, + "node_1792": { + "node_id": "node_1792", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 186.47 kg\n Factor of Safety: 0.42\n Max Deflection: 2.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.47118705984903, + "fos_buckling": 0.41666974440539484, + "fos_yielding": 3.318914659900933, + "deflection": 0.024364308307945195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001794)" + }, + "parent_node_id": "node_1791", + "improvement_over_parent": null + }, + "node_1793": { + "node_id": "node_1793", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n Mass: 209.59 kg\n Factor of Safety: 1.14\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.58724370330248, + "fos_buckling": 1.1449342521508918, + "fos_yielding": 7.060127806186975, + "deflection": 0.013811754082883395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006838)" + }, + "parent_node_id": "node_1792", + "improvement_over_parent": null + }, + "node_1794": { + "node_id": "node_1794", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 245.91 kg\n Factor of Safety: 1.32\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.9124680229983, + "fos_buckling": 1.3199132104762792, + "fos_yielding": 8.279800416306793, + "deflection": 0.011818863142175748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_1793", + "improvement_over_parent": null + }, + "node_1795": { + "node_id": "node_1795", + "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0125)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.32\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.52992743656546, + "fos_buckling": 1.322944839331632, + "fos_yielding": 7.812651060462807, + "deflection": 0.011239801371670447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.538)" + }, + "parent_node_id": "node_1794", + "improvement_over_parent": null + }, + "node_1796": { + "node_id": "node_1796", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1795", + "improvement_over_parent": null + }, + "node_1797": { + "node_id": "node_1797", + "content": "INITIAL DESIGN (Trace 254)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 166.29 kg\n Factor of Safety: 0.73\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.28633136002844, + "fos_buckling": 0.730134474640407, + "fos_yielding": 5.202882087144564, + "deflection": 0.019518563235750828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1798": { + "node_id": "node_1798", + "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 170.16 kg\n Factor of Safety: 0.73\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.15626497718677, + "fos_buckling": 0.7299969044762068, + "fos_yielding": 5.201901772739607, + "deflection": 0.01930314738129517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.529)" + }, + "parent_node_id": "node_1797", + "improvement_over_parent": null + }, + "node_1799": { + "node_id": "node_1799", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n\nPerformance:\n Mass: 187.83 kg\n Factor of Safety: 1.14\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.83257550198172, + "fos_buckling": 1.1375472600757812, + "fos_yielding": 5.864491289790611, + "deflection": 0.015332089689905066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005596)" + }, + "parent_node_id": "node_1798", + "improvement_over_parent": null + }, + "node_1800": { + "node_id": "node_1800", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n Mass: 188.37 kg\n Factor of Safety: 1.13\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.36723194480965, + "fos_buckling": 1.133976734187157, + "fos_yielding": 6.119438025478584, + "deflection": 0.015287782071569627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001585)" + }, + "parent_node_id": "node_1799", + "improvement_over_parent": null + }, + "node_1801": { + "node_id": "node_1801", + "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n Mass: 191.64 kg\n Factor of Safety: 1.22\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.64456677151512, + "fos_buckling": 1.2226498645459032, + "fos_yielding": 5.875233418935603, + "deflection": 0.015028111224900338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.309)" + }, + "parent_node_id": "node_1800", + "improvement_over_parent": null + }, + "node_1802": { + "node_id": "node_1802", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 216.99 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.98624724071607, + "fos_buckling": 1.3569572412688498, + "fos_yielding": 6.654049912161467, + "deflection": 0.0133114655572624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1801", + "improvement_over_parent": null + }, + "node_1803": { + "node_id": "node_1803", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3459785231104, + "fos_buckling": 1.533937865379999, + "fos_yielding": 7.741497666757053, + "deflection": 0.011492375093906892, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1802", + "improvement_over_parent": null + }, + "node_1804": { + "node_id": "node_1804", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1803", + "improvement_over_parent": null + }, + "node_1805": { + "node_id": "node_1805", + "content": "INITIAL DESIGN (Trace 255)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 170.80 kg\n Factor of Safety: 0.71\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.7964115617168, + "fos_buckling": 0.7133253008194991, + "fos_yielding": 4.5672907418848325, + "deflection": 0.020211735685058897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1806": { + "node_id": "node_1806", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n\nPerformance:\n Mass: 182.70 kg\n Factor of Safety: 0.77\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.7003646853276, + "fos_buckling": 0.7699056548002234, + "fos_yielding": 5.533433336344517, + "deflection": 0.018233680815731262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004947)" + }, + "parent_node_id": "node_1805", + "improvement_over_parent": null + }, + "node_1807": { + "node_id": "node_1807", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 225.86 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.85682862022634, + "fos_buckling": 0.9159319249974576, + "fos_yielding": 6.809305269641103, + "deflection": 0.014823358045205026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_1806", + "improvement_over_parent": null + }, + "node_1808": { + "node_id": "node_1808", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 249.14 kg\n Factor of Safety: 1.43\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.14266822232358, + "fos_buckling": 1.4254809176740186, + "fos_yielding": 7.573369638441457, + "deflection": 0.011585877091817185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_1807", + "improvement_over_parent": null + }, + "node_1809": { + "node_id": "node_1809", + "content": "MODIFICATION: Increase 13 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0082)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.78 kg\n Factor of Safety: 1.43\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.7810597272832, + "fos_buckling": 1.4329669955930062, + "fos_yielding": 7.558270132346267, + "deflection": 0.011510633870713185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.220)" + }, + "parent_node_id": "node_1808", + "improvement_over_parent": null + }, + "node_1810": { + "node_id": "node_1810", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1809", + "improvement_over_parent": null + }, + "node_1811": { + "node_id": "node_1811", + "content": "INITIAL DESIGN (Trace 256)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (11 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1812": { + "node_id": "node_1812", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n\nPerformance:\n Mass: 158.72 kg\n Factor of Safety: 0.17\n Max Deflection: 7.46e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.72139608494157, + "fos_buckling": 0.169249028642249, + "fos_yielding": 1.8179716888460142, + "deflection": 74644342745027.7, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005099)" + }, + "parent_node_id": "node_1811", + "improvement_over_parent": null + }, + "node_1813": { + "node_id": "node_1813", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n\nPerformance:\n Mass: 170.70 kg\n Factor of Safety: 0.66\n Max Deflection: 2.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.6968628193666, + "fos_buckling": 0.6580712004676478, + "fos_yielding": 4.794179316326133, + "deflection": 0.025053081559780453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004979)" + }, + "parent_node_id": "node_1812", + "improvement_over_parent": null + }, + "node_1814": { + "node_id": "node_1814", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 171.27 kg\n Factor of Safety: 0.35\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.2697530162558, + "fos_buckling": 0.34890993331379955, + "fos_yielding": 4.793135810873404, + "deflection": 0.020554040295493778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001707)" + }, + "parent_node_id": "node_1813", + "improvement_over_parent": null + }, + "node_1815": { + "node_id": "node_1815", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 186.41 kg\n Factor of Safety: 0.77\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.40999063849893, + "fos_buckling": 0.7735616306245872, + "fos_yielding": 5.564498228395503, + "deflection": 0.01802588500745217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005388)" + }, + "parent_node_id": "node_1814", + "improvement_over_parent": null + }, + "node_1816": { + "node_id": "node_1816", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n\nPerformance:\n Mass: 205.35 kg\n Factor of Safety: 1.30\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.34819893346457, + "fos_buckling": 1.296064189668347, + "fos_yielding": 6.29560115588781, + "deflection": 0.014047429394477992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006026)" + }, + "parent_node_id": "node_1815", + "improvement_over_parent": null + }, + "node_1817": { + "node_id": "node_1817", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M10: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47607266688127, + "fos_buckling": 1.5345804985298797, + "fos_yielding": 7.744623074359476, + "deflection": 0.011486792144049372, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1816", + "improvement_over_parent": null + }, + "node_1818": { + "node_id": "node_1818", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1817", + "improvement_over_parent": null + }, + "node_1819": { + "node_id": "node_1819", + "content": "INITIAL DESIGN (Trace 257)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0032)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 118.84 kg\n Factor of Safety: 0.42\n Max Deflection: 3.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.84458443733651, + "fos_buckling": 0.4209278394863101, + "fos_yielding": 2.9339125182016415, + "deflection": 0.031349911835371606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1820": { + "node_id": "node_1820", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 155.82 kg\n Factor of Safety: 0.54\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.81682102247163, + "fos_buckling": 0.5405765643369217, + "fos_yielding": 3.8496488669465245, + "deflection": 0.023985623726390255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1819", + "improvement_over_parent": null + }, + "node_1821": { + "node_id": "node_1821", + "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 162.33 kg\n Factor of Safety: 0.69\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.32822509764458, + "fos_buckling": 0.6934263751853793, + "fos_yielding": 4.752329216260705, + "deflection": 0.021521127446817664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.475)" + }, + "parent_node_id": "node_1820", + "improvement_over_parent": null + }, + "node_1822": { + "node_id": "node_1822", + "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 167.11 kg\n Factor of Safety: 0.69\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.1112118593198, + "fos_buckling": 0.6924729566949881, + "fos_yielding": 4.166317775472248, + "deflection": 0.020849583690905574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.328)" + }, + "parent_node_id": "node_1821", + "improvement_over_parent": null + }, + "node_1823": { + "node_id": "node_1823", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n\nPerformance:\n Mass: 185.27 kg\n Factor of Safety: 0.69\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.27042660933571, + "fos_buckling": 0.6912701173424465, + "fos_yielding": 3.8739441915914528, + "deflection": 0.016827727890607387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005760)" + }, + "parent_node_id": "node_1822", + "improvement_over_parent": null + }, + "node_1824": { + "node_id": "node_1824", + "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n\nPerformance:\n Mass: 185.59 kg\n Factor of Safety: 0.69\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.59354593472264, + "fos_buckling": 0.6912273884522417, + "fos_yielding": 3.9408234970101685, + "deflection": 0.016733449143093167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.208)" + }, + "parent_node_id": "node_1823", + "improvement_over_parent": null + }, + "node_1825": { + "node_id": "node_1825", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 237.84 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.83578921303828, + "fos_buckling": 0.8438070332761008, + "fos_yielding": 5.003312505309313, + "deflection": 0.013143273534444161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1824", + "improvement_over_parent": null + }, + "node_1826": { + "node_id": "node_1826", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.56029682169586, + "fos_buckling": 1.5353077353868545, + "fos_yielding": 7.75331382404484, + "deflection": 0.011482147235759528, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_1825", + "improvement_over_parent": null + }, + "node_1827": { + "node_id": "node_1827", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1826", + "improvement_over_parent": null + }, + "node_1828": { + "node_id": "node_1828", + "content": "INITIAL DESIGN (Trace 258)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1829": { + "node_id": "node_1829", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n\nPerformance:\n Mass: 203.50 kg\n Factor of Safety: 0.67\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.49732579651013, + "fos_buckling": 0.6684050178447212, + "fos_yielding": 4.871390738551233, + "deflection": 0.01832499020796599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006621)" + }, + "parent_node_id": "node_1828", + "improvement_over_parent": null + }, + "node_1830": { + "node_id": "node_1830", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n\nPerformance:\n Mass: 205.76 kg\n Factor of Safety: 0.67\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.75673027401962, + "fos_buckling": 0.6681065198243353, + "fos_yielding": 4.86923108262675, + "deflection": 0.014555351085088085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003566)" + }, + "parent_node_id": "node_1829", + "improvement_over_parent": null + }, + "node_1831": { + "node_id": "node_1831", + "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0076)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n\nPerformance:\n Mass: 209.97 kg\n Factor of Safety: 0.67\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.97244297834104, + "fos_buckling": 0.6683849879338949, + "fos_yielding": 4.655057494218393, + "deflection": 0.014469318256783435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.284)" + }, + "parent_node_id": "node_1830", + "improvement_over_parent": null + }, + "node_1832": { + "node_id": "node_1832", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0076)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n Mass: 224.76 kg\n Factor of Safety: 1.26\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.76363288431554, + "fos_buckling": 1.257947173525281, + "fos_yielding": 6.6666972863204625, + "deflection": 0.012929874981541653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005602)" + }, + "parent_node_id": "node_1831", + "improvement_over_parent": null + }, + "node_1833": { + "node_id": "node_1833", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0087)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 253.16 kg\n Factor of Safety: 1.40\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.15586031458113, + "fos_buckling": 1.3971274238944644, + "fos_yielding": 7.515357650876088, + "deflection": 0.011513886411719935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_1832", + "improvement_over_parent": null + }, + "node_1834": { + "node_id": "node_1834", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1833", + "improvement_over_parent": null + }, + "node_1835": { + "node_id": "node_1835", + "content": "INITIAL DESIGN (Trace 259)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 173.83 kg\n Factor of Safety: 0.68\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.83483912706197, + "fos_buckling": 0.6752380165050232, + "fos_yielding": 4.937480633942448, + "deflection": 0.017566940430207196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1836": { + "node_id": "node_1836", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n\nPerformance:\n Mass: 187.78 kg\n Factor of Safety: 0.38\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.77764230800415, + "fos_buckling": 0.3823425254070401, + "fos_yielding": 4.917909344466343, + "deflection": 0.016675757677470465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005255)" + }, + "parent_node_id": "node_1835", + "improvement_over_parent": null + }, + "node_1837": { + "node_id": "node_1837", + "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n\nPerformance:\n Mass: 195.21 kg\n Factor of Safety: 0.39\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.20603966110383, + "fos_buckling": 0.3863116303314146, + "fos_yielding": 4.9144498493812305, + "deflection": 0.01616853940923779, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.664)" + }, + "parent_node_id": "node_1836", + "improvement_over_parent": null + }, + "node_1838": { + "node_id": "node_1838", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n\nPerformance:\n Mass: 195.61 kg\n Factor of Safety: 0.39\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.61469867698264, + "fos_buckling": 0.3868681079309391, + "fos_yielding": 4.914449849381234, + "deflection": 0.01610263338307193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.321)" + }, + "parent_node_id": "node_1837", + "improvement_over_parent": null + }, + "node_1839": { + "node_id": "node_1839", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 233.91 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.90806966245378, + "fos_buckling": 0.44607179698953253, + "fos_yielding": 5.826027436894827, + "deflection": 0.013532822512807465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1838", + "improvement_over_parent": null + }, + "node_1840": { + "node_id": "node_1840", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 246.67 kg\n Factor of Safety: 1.28\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.6748767060814, + "fos_buckling": 1.2753142082445033, + "fos_yielding": 7.7872494893342035, + "deflection": 0.01166893679636835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004490)" + }, + "parent_node_id": "node_1839", + "improvement_over_parent": null + }, + "node_1841": { + "node_id": "node_1841", + "content": "MODIFICATION: Increase 15 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5185281518729, + "fos_buckling": 1.5348552471173453, + "fos_yielding": 7.745978285188157, + "deflection": 0.011484737728736523, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.502)" + }, + "parent_node_id": "node_1840", + "improvement_over_parent": null + }, + "node_1842": { + "node_id": "node_1842", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1841", + "improvement_over_parent": null + }, + "node_1843": { + "node_id": "node_1843", + "content": "INITIAL DESIGN (Trace 260)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0028)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0023)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0026)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0023)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0029)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0027)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0023)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0025)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0024)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0024)]\n\nPerformance:\n Mass: 96.57 kg\n Factor of Safety: 0.66\n Max Deflection: 2.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 96.57127304718323, + "fos_buckling": 0.6623411883147493, + "fos_yielding": 2.9570054196634143, + "deflection": 0.029499305909054217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1844": { + "node_id": "node_1844", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0037)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0040)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n Mass: 125.84 kg\n Factor of Safety: 0.84\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.84034577577813, + "fos_buckling": 0.8444182502653031, + "fos_yielding": 3.8545090640835964, + "deflection": 0.022714717136518243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_1843", + "improvement_over_parent": null + }, + "node_1845": { + "node_id": "node_1845", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 160.98 kg\n Factor of Safety: 1.05\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.97859935735673, + "fos_buckling": 1.0517168892621112, + "fos_yielding": 4.9327767227682235, + "deflection": 0.017828479884720683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1844", + "improvement_over_parent": null + }, + "node_1846": { + "node_id": "node_1846", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 196.87 kg\n Factor of Safety: 1.25\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.87259844203172, + "fos_buckling": 1.2508799106427273, + "fos_yielding": 6.035128894953713, + "deflection": 0.014638037879098547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1845", + "improvement_over_parent": null + }, + "node_1847": { + "node_id": "node_1847", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.30 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.2965451516252, + "fos_buckling": 1.5337137413427488, + "fos_yielding": 7.7390475671325385, + "deflection": 0.011494756234092986, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1846", + "improvement_over_parent": null + }, + "node_1848": { + "node_id": "node_1848", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1847", + "improvement_over_parent": null + }, + "node_1849": { + "node_id": "node_1849", + "content": "INITIAL DESIGN (Trace 261)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 139.37 kg\n Factor of Safety: 0.90\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.36697089060198, + "fos_buckling": 0.902498616101421, + "fos_yielding": 4.449556787604028, + "deflection": 0.020388090991066025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1850": { + "node_id": "node_1850", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 181.62 kg\n Factor of Safety: 1.14\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.62357535697797, + "fos_buckling": 1.1430964570384425, + "fos_yielding": 5.797699209677467, + "deflection": 0.015720976160889424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1849", + "improvement_over_parent": null + }, + "node_1851": { + "node_id": "node_1851", + "content": "MODIFICATION: Increase 12 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 184.33 kg\n Factor of Safety: 1.18\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.32969456936178, + "fos_buckling": 1.1827494191895216, + "fos_yielding": 5.650150434652969, + "deflection": 0.015611463747570118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.305)" + }, + "parent_node_id": "node_1850", + "improvement_over_parent": null + }, + "node_1852": { + "node_id": "node_1852", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n Mass: 228.95 kg\n Factor of Safety: 1.42\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.94963443127412, + "fos_buckling": 1.4182327232761376, + "fos_yielding": 7.021427689396476, + "deflection": 0.0126331546007263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_1851", + "improvement_over_parent": null + }, + "node_1853": { + "node_id": "node_1853", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.70 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.6965427877647, + "fos_buckling": 1.53567923990997, + "fos_yielding": 7.751795336255218, + "deflection": 0.011476925678819652, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1852", + "improvement_over_parent": null + }, + "node_1854": { + "node_id": "node_1854", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1853", + "improvement_over_parent": null + }, + "node_1855": { + "node_id": "node_1855", + "content": "INITIAL DESIGN (Trace 262)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 188.06 kg\n Factor of Safety: 0.37\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.0552880747564, + "fos_buckling": 0.3711537274175596, + "fos_yielding": 3.896052454709987, + "deflection": 0.017053569033731515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1856": { + "node_id": "node_1856", + "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 188.58 kg\n Factor of Safety: 0.35\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.5829476488417, + "fos_buckling": 0.3473675336855355, + "fos_yielding": 4.984906253201691, + "deflection": 0.016846329540928788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.460)" + }, + "parent_node_id": "node_1855", + "improvement_over_parent": null + }, + "node_1857": { + "node_id": "node_1857", + "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 195.20 kg\n Factor of Safety: 0.34\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.20132399800636, + "fos_buckling": 0.34188853947248915, + "fos_yielding": 4.981781239379595, + "deflection": 0.016057527898128674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.575)" + }, + "parent_node_id": "node_1856", + "improvement_over_parent": null + }, + "node_1858": { + "node_id": "node_1858", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 210.98 kg\n Factor of Safety: 1.31\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.98127859413017, + "fos_buckling": 1.307323895800249, + "fos_yielding": 5.490049297128858, + "deflection": 0.01365891839923656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005634)" + }, + "parent_node_id": "node_1857", + "improvement_over_parent": null + }, + "node_1859": { + "node_id": "node_1859", + "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 213.45 kg\n Factor of Safety: 1.29\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.45379792061635, + "fos_buckling": 1.2935318060935737, + "fos_yielding": 5.390075008112982, + "deflection": 0.013590417577837032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.229)" + }, + "parent_node_id": "node_1858", + "improvement_over_parent": null + }, + "node_1860": { + "node_id": "node_1860", + "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 213.87 kg\n Factor of Safety: 1.34\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.86756654518527, + "fos_buckling": 1.3414075531762852, + "fos_yielding": 6.542218136504615, + "deflection": 0.013494134718365742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.256)" + }, + "parent_node_id": "node_1859", + "improvement_over_parent": null + }, + "node_1861": { + "node_id": "node_1861", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.42069492896061, + "fos_buckling": 1.5349917207543615, + "fos_yielding": 7.725154597222596, + "deflection": 0.011483469888406948, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_1860", + "improvement_over_parent": null + }, + "node_1862": { + "node_id": "node_1862", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.60 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.6030431179, + "fos_buckling": 1.535204815290837, + "fos_yielding": 7.749225679511983, + "deflection": 0.011481143758300422, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.383)" + }, + "parent_node_id": "node_1861", + "improvement_over_parent": null + }, + "node_1863": { + "node_id": "node_1863", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1862", + "improvement_over_parent": null + }, + "node_1864": { + "node_id": "node_1864", + "content": "INITIAL DESIGN (Trace 263)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 213.27 kg\n Factor of Safety: 0.62\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.26525844552341, + "fos_buckling": 0.617753672858736, + "fos_yielding": 4.466062352572864, + "deflection": 0.018282878401345664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1865": { + "node_id": "node_1865", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 232.53 kg\n Factor of Safety: 1.16\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.53149926643073, + "fos_buckling": 1.1626987040422818, + "fos_yielding": 6.465501534365014, + "deflection": 0.013331094280779148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1864", + "improvement_over_parent": null + }, + "node_1866": { + "node_id": "node_1866", + "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0124)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 245.25 kg\n Factor of Safety: 1.26\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.24898924952888, + "fos_buckling": 1.2581383052719886, + "fos_yielding": 6.132293974013806, + "deflection": 0.012912987542876042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.642)" + }, + "parent_node_id": "node_1865", + "improvement_over_parent": null + }, + "node_1867": { + "node_id": "node_1867", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0124)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 245.95 kg\n Factor of Safety: 1.26\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.9533100964499, + "fos_buckling": 1.2582180997648518, + "fos_yielding": 6.142806520439899, + "deflection": 0.012914179261120729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_1866", + "improvement_over_parent": null + }, + "node_1868": { + "node_id": "node_1868", + "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0124)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 255.16 kg\n Factor of Safety: 1.26\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.16435630224842, + "fos_buckling": 1.2632466147109151, + "fos_yielding": 6.610378848824442, + "deflection": 0.011862619256926202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.597)" + }, + "parent_node_id": "node_1867", + "improvement_over_parent": null + }, + "node_1869": { + "node_id": "node_1869", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1868", + "improvement_over_parent": null + }, + "node_1870": { + "node_id": "node_1870", + "content": "INITIAL DESIGN (Trace 264)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 226.91 kg\n Factor of Safety: 0.85\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.90919907796945, + "fos_buckling": 0.8457347824726107, + "fos_yielding": 5.059534991669626, + "deflection": 0.01949073944356114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1871": { + "node_id": "node_1871", + "content": "MODIFICATION: Increase 6 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 227.30 kg\n Factor of Safety: 0.85\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.30111690501138, + "fos_buckling": 0.84573478247261, + "fos_yielding": 5.386752699337201, + "deflection": 0.019453511530793985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.401)" + }, + "parent_node_id": "node_1870", + "improvement_over_parent": null + }, + "node_1872": { + "node_id": "node_1872", + "content": "MODIFICATION: Increase 12 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.26 kg\n Factor of Safety: 0.84\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.2635988650064, + "fos_buckling": 0.8443005283027707, + "fos_yielding": 5.379452795961207, + "deflection": 0.01945916872424748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.508)" + }, + "parent_node_id": "node_1871", + "improvement_over_parent": null + }, + "node_1873": { + "node_id": "node_1873", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 251.06 kg\n Factor of Safety: 1.32\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.05507455341083, + "fos_buckling": 1.3170663019378357, + "fos_yielding": 6.548666789961991, + "deflection": 0.011611365152045494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_1872", + "improvement_over_parent": null + }, + "node_1874": { + "node_id": "node_1874", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 251.76 kg\n Factor of Safety: 1.31\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.75939540033187, + "fos_buckling": 1.3129386871359598, + "fos_yielding": 6.52814362120805, + "deflection": 0.011577128464479886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_1873", + "improvement_over_parent": null + }, + "node_1875": { + "node_id": "node_1875", + "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4635793133307, + "fos_buckling": 1.534657250455396, + "fos_yielding": 7.743418542398643, + "deflection": 0.011486970698008095, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.541)" + }, + "parent_node_id": "node_1874", + "improvement_over_parent": null + }, + "node_1876": { + "node_id": "node_1876", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1875", + "improvement_over_parent": null + }, + "node_1877": { + "node_id": "node_1877", + "content": "INITIAL DESIGN (Trace 265)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0021)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0011)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0025)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0023)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0023)]\n\nPerformance:\n Mass: 76.95 kg\n Factor of Safety: 0.35\n Max Deflection: 4.50e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 76.94555551402456, + "fos_buckling": 0.3463334643559841, + "fos_yielding": 1.9626169738798482, + "deflection": 0.04502567559776911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1878": { + "node_id": "node_1878", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0021)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0011)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0025)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0023)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0023)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0022)]\n\nPerformance:\n Mass: 83.30 kg\n Factor of Safety: 0.37\n Max Deflection: 4.06e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 83.30124110860403, + "fos_buckling": 0.37061626325634955, + "fos_yielding": 2.4694543849870922, + "deflection": 0.040560871351412536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.002222)" + }, + "parent_node_id": "node_1877", + "improvement_over_parent": null + }, + "node_1879": { + "node_id": "node_1879", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0028)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0021)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0011)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0027)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0025)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0023)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0023)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0022)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n\nPerformance:\n Mass: 90.18 kg\n Factor of Safety: 0.62\n Max Deflection: 3.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 90.18211756993185, + "fos_buckling": 0.6214403747926036, + "fos_yielding": 2.761218384112128, + "deflection": 0.03156601324965347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.002402)" + }, + "parent_node_id": "node_1878", + "improvement_over_parent": null + }, + "node_1880": { + "node_id": "node_1880", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0030)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n\nPerformance:\n Mass: 116.56 kg\n Factor of Safety: 0.79\n Max Deflection: 2.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.56486227080289, + "fos_buckling": 0.7876329470906515, + "fos_yielding": 3.570085668414362, + "deflection": 0.024496072177672735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_1879", + "improvement_over_parent": null + }, + "node_1881": { + "node_id": "node_1881", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n\nPerformance:\n Mass: 147.29 kg\n Factor of Safety: 0.97\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.28652464645705, + "fos_buckling": 0.9723813570512388, + "fos_yielding": 4.512593213787289, + "deflection": 0.019455289809633854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1880", + "improvement_over_parent": null + }, + "node_1882": { + "node_id": "node_1882", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n\nPerformance:\n Mass: 172.68 kg\n Factor of Safety: 1.12\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.67622866668955, + "fos_buckling": 1.1179958600289754, + "fos_yielding": 5.292020744230757, + "deflection": 0.01664309128043279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_1881", + "improvement_over_parent": null + }, + "node_1883": { + "node_id": "node_1883", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 207.64 kg\n Factor of Safety: 1.31\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.63554336330802, + "fos_buckling": 1.3081173460450215, + "fos_yielding": 6.365960904867444, + "deflection": 0.013896382791996892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1882", + "improvement_over_parent": null + }, + "node_1884": { + "node_id": "node_1884", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.26 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.26311167667652, + "fos_buckling": 1.533527337172791, + "fos_yielding": 7.738153057910424, + "deflection": 0.011496269751359634, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1883", + "improvement_over_parent": null + }, + "node_1885": { + "node_id": "node_1885", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1884", + "improvement_over_parent": null + }, + "node_1886": { + "node_id": "node_1886", + "content": "INITIAL DESIGN (Trace 266)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 181.72 kg\n Factor of Safety: 0.37\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.72150371375048, + "fos_buckling": 0.3723837277366229, + "fos_yielding": 4.919258673485165, + "deflection": 0.020011752840117622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1887": { + "node_id": "node_1887", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 206.41 kg\n Factor of Safety: 0.41\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.4113928521731, + "fos_buckling": 0.4120175904432825, + "fos_yielding": 5.585457733572548, + "deflection": 0.017665843976751888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1886", + "improvement_over_parent": null + }, + "node_1888": { + "node_id": "node_1888", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 225.03 kg\n Factor of Safety: 0.92\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.0269189085404, + "fos_buckling": 0.916140957879393, + "fos_yielding": 5.58042332948467, + "deflection": 0.015597146023010442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_1887", + "improvement_over_parent": null + }, + "node_1889": { + "node_id": "node_1889", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 229.08 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.07893602149264, + "fos_buckling": 0.9157816165452388, + "fos_yielding": 6.807674320840325, + "deflection": 0.014740551293812689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.242)" + }, + "parent_node_id": "node_1888", + "improvement_over_parent": null + }, + "node_1890": { + "node_id": "node_1890", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n\nPerformance:\n Mass: 246.91 kg\n Factor of Safety: 1.46\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.90563229604984, + "fos_buckling": 1.4628371564706142, + "fos_yielding": 8.114588416444777, + "deflection": 0.011724298694894957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005647)" + }, + "parent_node_id": "node_1889", + "improvement_over_parent": null + }, + "node_1891": { + "node_id": "node_1891", + "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0085)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n\nPerformance:\n Mass: 251.84 kg\n Factor of Safety: 1.46\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.8382673039644, + "fos_buckling": 1.4603282515184355, + "fos_yielding": 7.919620006809257, + "deflection": 0.01165382864213679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.337)" + }, + "parent_node_id": "node_1890", + "improvement_over_parent": null + }, + "node_1892": { + "node_id": "node_1892", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1891", + "improvement_over_parent": null + }, + "node_1893": { + "node_id": "node_1893", + "content": "INITIAL DESIGN (Trace 267)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1894": { + "node_id": "node_1894", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n\nPerformance:\n Mass: 224.67 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.66860317285006, + "fos_buckling": 0.9165534746951628, + "fos_yielding": 6.81499835420125, + "deflection": 0.014726056758787227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004615)" + }, + "parent_node_id": "node_1893", + "improvement_over_parent": null + }, + "node_1895": { + "node_id": "node_1895", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 243.93 kg\n Factor of Safety: 1.41\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.93484399375737, + "fos_buckling": 1.412192666973574, + "fos_yielding": 8.438389110839719, + "deflection": 0.01190027910242317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_1894", + "improvement_over_parent": null + }, + "node_1896": { + "node_id": "node_1896", + "content": "MODIFICATION: Increase 11 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0111)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 254.11 kg\n Factor of Safety: 1.41\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.10912196029903, + "fos_buckling": 1.4126276391640016, + "fos_yielding": 8.85788493686202, + "deflection": 0.01172846786396874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.634)" + }, + "parent_node_id": "node_1895", + "improvement_over_parent": null + }, + "node_1897": { + "node_id": "node_1897", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1896", + "improvement_over_parent": null + }, + "node_1898": { + "node_id": "node_1898", + "content": "INITIAL DESIGN (Trace 268)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 184.65 kg\n Factor of Safety: 1.00\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.6493208476587, + "fos_buckling": 0.9984130032726104, + "fos_yielding": 5.625847143231518, + "deflection": 0.01564894313721809, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1899": { + "node_id": "node_1899", + "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 188.71 kg\n Factor of Safety: 1.00\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.70504599048027, + "fos_buckling": 0.9975252788202065, + "fos_yielding": 6.025061916374329, + "deflection": 0.015181093923607595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.259)" + }, + "parent_node_id": "node_1898", + "improvement_over_parent": null + }, + "node_1900": { + "node_id": "node_1900", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 222.28 kg\n Factor of Safety: 1.15\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.28370439150183, + "fos_buckling": 1.1529235648925922, + "fos_yielding": 7.090975697038311, + "deflection": 0.012938258886117522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1899", + "improvement_over_parent": null + }, + "node_1901": { + "node_id": "node_1901", + "content": "MODIFICATION: Increase 15 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 227.86 kg\n Factor of Safety: 1.40\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.86014992337826, + "fos_buckling": 1.401699169494077, + "fos_yielding": 7.056612236202728, + "deflection": 0.012719544660328399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.538)" + }, + "parent_node_id": "node_1900", + "improvement_over_parent": null + }, + "node_1902": { + "node_id": "node_1902", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.92 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 251.91684162633206, + "fos_buckling": 1.5200427372523375, + "fos_yielding": 7.803249926286318, + "deflection": 0.011536227164622406, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_1901", + "improvement_over_parent": null + }, + "node_1903": { + "node_id": "node_1903", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.30758141699383, + "fos_buckling": 1.533195950405089, + "fos_yielding": 7.738930501697487, + "deflection": 0.011494401723635158, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.247)" + }, + "parent_node_id": "node_1902", + "improvement_over_parent": null + }, + "node_1904": { + "node_id": "node_1904", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1903", + "improvement_over_parent": null + }, + "node_1905": { + "node_id": "node_1905", + "content": "INITIAL DESIGN (Trace 269)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 149.66 kg\n Factor of Safety: 0.65\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.65833078502746, + "fos_buckling": 0.6519362032403545, + "fos_yielding": 3.5009779196465005, + "deflection": 0.025266223838664146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1906": { + "node_id": "node_1906", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 163.63 kg\n Factor of Safety: 0.65\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.63298748222897, + "fos_buckling": 0.6510612701048932, + "fos_yielding": 3.222275913089459, + "deflection": 0.019547257144568796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005038)" + }, + "parent_node_id": "node_1905", + "improvement_over_parent": null + }, + "node_1907": { + "node_id": "node_1907", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n Mass: 174.31 kg\n Factor of Safety: 0.97\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.3126897216743, + "fos_buckling": 0.9659363764244389, + "fos_yielding": 3.904586535078722, + "deflection": 0.017203835346372556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004404)" + }, + "parent_node_id": "node_1906", + "improvement_over_parent": null + }, + "node_1908": { + "node_id": "node_1908", + "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n Mass: 174.82 kg\n Factor of Safety: 0.97\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.81606444416474, + "fos_buckling": 0.9666819782318151, + "fos_yielding": 3.907600467309319, + "deflection": 0.01716748239366951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.466)" + }, + "parent_node_id": "node_1907", + "improvement_over_parent": null + }, + "node_1909": { + "node_id": "node_1909", + "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n Mass: 175.17 kg\n Factor of Safety: 0.96\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.17466366602667, + "fos_buckling": 0.9601747980595169, + "fos_yielding": 3.881296614693127, + "deflection": 0.017110087965629957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.252)" + }, + "parent_node_id": "node_1908", + "improvement_over_parent": null + }, + "node_1910": { + "node_id": "node_1910", + "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0034)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n Mass: 179.96 kg\n Factor of Safety: 1.03\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.95746297844352, + "fos_buckling": 1.0326650634581935, + "fos_yielding": 4.174322657720607, + "deflection": 0.01636930103841142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.443)" + }, + "parent_node_id": "node_1909", + "improvement_over_parent": null + }, + "node_1911": { + "node_id": "node_1911", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0041)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0042)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n Mass: 220.98 kg\n Factor of Safety: 1.25\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.9808998842983, + "fos_buckling": 1.2490263931461991, + "fos_yielding": 5.149612154862435, + "deflection": 0.013385287372200029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1910", + "improvement_over_parent": null + }, + "node_1912": { + "node_id": "node_1912", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0047)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0048)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 248.16 kg\n Factor of Safety: 1.39\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.16302986298555, + "fos_buckling": 1.3883656801038349, + "fos_yielding": 5.801508937156338, + "deflection": 0.01195133244598938, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_1911", + "improvement_over_parent": null + }, + "node_1913": { + "node_id": "node_1913", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1912", + "improvement_over_parent": null + }, + "node_1914": { + "node_id": "node_1914", + "content": "INITIAL DESIGN (Trace 270)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 100.95 kg\n Factor of Safety: 0.25\n Max Deflection: 3.60e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.9475959066049, + "fos_buckling": 0.2461956199865208, + "fos_yielding": 2.5138526775434524, + "deflection": 35975661038786.93, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1915": { + "node_id": "node_1915", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n\nPerformance:\n Mass: 102.26 kg\n Factor of Safety: 0.25\n Max Deflection: 5.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 102.25995252174863, + "fos_buckling": 0.25100979142690627, + "fos_yielding": 0.985346133126377, + "deflection": 0.05444185765835206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002002)" + }, + "parent_node_id": "node_1914", + "improvement_over_parent": null + }, + "node_1916": { + "node_id": "node_1916", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0024)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n Mass: 115.21 kg\n Factor of Safety: 0.52\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.2083199605096, + "fos_buckling": 0.5194693232819007, + "fos_yielding": 3.552135823856512, + "deflection": 0.028212751491897697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004012)" + }, + "parent_node_id": "node_1915", + "improvement_over_parent": null + }, + "node_1917": { + "node_id": "node_1917", + "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n Mass: 118.14 kg\n Factor of Safety: 0.52\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.13754953404981, + "fos_buckling": 0.5193203669588701, + "fos_yielding": 3.5511172592031004, + "deflection": 0.028220830807619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.437)" + }, + "parent_node_id": "node_1916", + "improvement_over_parent": null + }, + "node_1918": { + "node_id": "node_1918", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0033)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0032)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n\nPerformance:\n Mass: 130.14 kg\n Factor of Safety: 0.87\n Max Deflection: 2.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.14140678549705, + "fos_buckling": 0.8704396257995195, + "fos_yielding": 3.9863386269393133, + "deflection": 0.021975040278206747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003718)" + }, + "parent_node_id": "node_1917", + "improvement_over_parent": null + }, + "node_1919": { + "node_id": "node_1919", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n\nPerformance:\n Mass: 163.25 kg\n Factor of Safety: 1.06\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.24714445507786, + "fos_buckling": 1.0646642063891325, + "fos_yielding": 5.002287894942966, + "deflection": 0.017585414728443834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1918", + "improvement_over_parent": null + }, + "node_1920": { + "node_id": "node_1920", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n\nPerformance:\n Mass: 199.16 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.1557758310361, + "fos_buckling": 1.2631020008734948, + "fos_yielding": 6.105122587300735, + "deflection": 0.014474087737360211, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1919", + "improvement_over_parent": null + }, + "node_1921": { + "node_id": "node_1921", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49194036960102, + "fos_buckling": 1.534634118727364, + "fos_yielding": 7.744869800025438, + "deflection": 0.011486183513553289, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1920", + "improvement_over_parent": null + }, + "node_1922": { + "node_id": "node_1922", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1921", + "improvement_over_parent": null + }, + "node_1923": { + "node_id": "node_1923", + "content": "INITIAL DESIGN (Trace 271)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 171.57 kg\n Factor of Safety: 0.73\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.5704991406907, + "fos_buckling": 0.7297465115873359, + "fos_yielding": 4.4377149259189945, + "deflection": 0.020165850725059487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1924": { + "node_id": "node_1924", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 171.99 kg\n Factor of Safety: 0.73\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.99129117214002, + "fos_buckling": 0.7297465115873359, + "fos_yielding": 4.4377149259189945, + "deflection": 0.020165850725059487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.377)" + }, + "parent_node_id": "node_1923", + "improvement_over_parent": null + }, + "node_1925": { + "node_id": "node_1925", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 174.48 kg\n Factor of Safety: 0.73\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.4790942473501, + "fos_buckling": 0.7295698047895492, + "fos_yielding": 5.195643579191415, + "deflection": 0.019293352912807225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.183)" + }, + "parent_node_id": "node_1924", + "improvement_over_parent": null + }, + "node_1926": { + "node_id": "node_1926", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 206.66 kg\n Factor of Safety: 0.84\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.65501279504693, + "fos_buckling": 0.8403450052081867, + "fos_yielding": 6.132746962236152, + "deflection": 0.016352164963512963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1925", + "improvement_over_parent": null + }, + "node_1927": { + "node_id": "node_1927", + "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 209.57 kg\n Factor of Safety: 0.84\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.5719778428994, + "fos_buckling": 0.8401072550788674, + "fos_yielding": 6.131011887505752, + "deflection": 0.016356677464209917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.176)" + }, + "parent_node_id": "node_1926", + "improvement_over_parent": null + }, + "node_1928": { + "node_id": "node_1928", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 226.89 kg\n Factor of Safety: 1.41\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.89143525461645, + "fos_buckling": 1.4078881476890361, + "fos_yielding": 6.9584322160236205, + "deflection": 0.012745149899050982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006347)" + }, + "parent_node_id": "node_1927", + "improvement_over_parent": null + }, + "node_1929": { + "node_id": "node_1929", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49344633441547, + "fos_buckling": 1.5347936146412153, + "fos_yielding": 7.745862642153733, + "deflection": 0.011486236165388793, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1928", + "improvement_over_parent": null + }, + "node_1930": { + "node_id": "node_1930", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1929", + "improvement_over_parent": null + }, + "node_1931": { + "node_id": "node_1931", + "content": "INITIAL DESIGN (Trace 272)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 157.77 kg\n Factor of Safety: 0.66\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.7701396177842, + "fos_buckling": 0.6588882981116974, + "fos_yielding": 3.9644102473672733, + "deflection": 0.02208674190281944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1932": { + "node_id": "node_1932", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n\nPerformance:\n Mass: 168.60 kg\n Factor of Safety: 0.71\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.6019989281533, + "fos_buckling": 0.71042332291457, + "fos_yielding": 5.041975937856924, + "deflection": 0.019889307026849417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004471)" + }, + "parent_node_id": "node_1931", + "improvement_over_parent": null + }, + "node_1933": { + "node_id": "node_1933", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n\nPerformance:\n Mass: 185.73 kg\n Factor of Safety: 1.19\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.73116889380196, + "fos_buckling": 1.190414244042145, + "fos_yielding": 5.692912205008775, + "deflection": 0.015496339199573005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005411)" + }, + "parent_node_id": "node_1932", + "improvement_over_parent": null + }, + "node_1934": { + "node_id": "node_1934", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n\nPerformance:\n Mass: 215.98 kg\n Factor of Safety: 1.35\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.97623200839115, + "fos_buckling": 1.3517345739480484, + "fos_yielding": 6.622250622649141, + "deflection": 0.013372383916488538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1933", + "improvement_over_parent": null + }, + "node_1935": { + "node_id": "node_1935", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35236376972736, + "fos_buckling": 1.533983091565527, + "fos_yielding": 7.740828633759325, + "deflection": 0.011492267242962192, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1934", + "improvement_over_parent": null + }, + "node_1936": { + "node_id": "node_1936", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1935", + "improvement_over_parent": null + }, + "node_1937": { + "node_id": "node_1937", + "content": "INITIAL DESIGN (Trace 273)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 119.71 kg\n Factor of Safety: 0.49\n Max Deflection: 3.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.71282018257885, + "fos_buckling": 0.48706131218042986, + "fos_yielding": 3.4085887689665304, + "deflection": 0.030897636351491935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1938": { + "node_id": "node_1938", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 139.38 kg\n Factor of Safety: 0.56\n Max Deflection: 2.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.38470379333253, + "fos_buckling": 0.5570672644939824, + "fos_yielding": 3.956404998831182, + "deflection": 0.026589618479239855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_1937", + "improvement_over_parent": null + }, + "node_1939": { + "node_id": "node_1939", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n Mass: 154.71 kg\n Factor of Safety: 0.56\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.70981165418885, + "fos_buckling": 0.5562357703698763, + "fos_yielding": 3.9505380885217942, + "deflection": 0.02143336396334192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004807)" + }, + "parent_node_id": "node_1938", + "improvement_over_parent": null + }, + "node_1940": { + "node_id": "node_1940", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n\nPerformance:\n Mass: 200.27 kg\n Factor of Safety: 0.69\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.27227022485437, + "fos_buckling": 0.6928778586043891, + "fos_yielding": 5.0789620588920235, + "deflection": 0.016630673990239386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1939", + "improvement_over_parent": null + }, + "node_1941": { + "node_id": "node_1941", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 200.87 kg\n Factor of Safety: 0.79\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.8724797873297, + "fos_buckling": 0.789164352288733, + "fos_yielding": 4.672854201799122, + "deflection": 0.014679091821221244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001795)" + }, + "parent_node_id": "node_1940", + "improvement_over_parent": null + }, + "node_1942": { + "node_id": "node_1942", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n Mass: 215.07 kg\n Factor of Safety: 1.35\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.0729443569967, + "fos_buckling": 1.3470602710060986, + "fos_yielding": 6.5941141163453185, + "deflection": 0.013427264534829725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005360)" + }, + "parent_node_id": "node_1941", + "improvement_over_parent": null + }, + "node_1943": { + "node_id": "node_1943", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.28 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.2784003770801, + "fos_buckling": 1.533642702960743, + "fos_yielding": 7.738123862334573, + "deflection": 0.011495625390543718, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_1942", + "improvement_over_parent": null + }, + "node_1944": { + "node_id": "node_1944", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1943", + "improvement_over_parent": null + }, + "node_1945": { + "node_id": "node_1945", + "content": "INITIAL DESIGN (Trace 274)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 118.83 kg\n Factor of Safety: 0.32\n Max Deflection: 4.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.8328764513785, + "fos_buckling": 0.32157785819790013, + "fos_yielding": 0.882416513251388, + "deflection": 0.04925347000018019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1946": { + "node_id": "node_1946", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 130.94 kg\n Factor of Safety: 0.32\n Max Deflection: 4.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.93899228494894, + "fos_buckling": 0.32138742539148146, + "fos_yielding": 1.2950573779160945, + "deflection": 0.04486274620863593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004353)" + }, + "parent_node_id": "node_1945", + "improvement_over_parent": null + }, + "node_1947": { + "node_id": "node_1947", + "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0034)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 131.45 kg\n Factor of Safety: 0.32\n Max Deflection: 4.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.44632923351983, + "fos_buckling": 0.3213874253914818, + "fos_yielding": 1.2950573779160945, + "deflection": 0.04397060087395095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.572)" + }, + "parent_node_id": "node_1946", + "improvement_over_parent": null + }, + "node_1948": { + "node_id": "node_1948", + "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 136.25 kg\n Factor of Safety: 0.32\n Max Deflection: 4.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.25046128972116, + "fos_buckling": 0.3212364449997427, + "fos_yielding": 1.2944529814824457, + "deflection": 0.04399072176477365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.486)" + }, + "parent_node_id": "node_1947", + "improvement_over_parent": null + }, + "node_1949": { + "node_id": "node_1949", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n\nPerformance:\n Mass: 154.72 kg\n Factor of Safety: 0.32\n Max Deflection: 3.50e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.71970580177293, + "fos_buckling": 0.32065732704550276, + "fos_yielding": 1.2921346536416574, + "deflection": 0.034984273061359504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005377)" + }, + "parent_node_id": "node_1948", + "improvement_over_parent": null + }, + "node_1950": { + "node_id": "node_1950", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 178.95 kg\n Factor of Safety: 0.36\n Max Deflection: 3.03e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.94526507387758, + "fos_buckling": 0.3632825483662532, + "fos_yielding": 1.48948450257987, + "deflection": 0.030340659803608207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1949", + "improvement_over_parent": null + }, + "node_1951": { + "node_id": "node_1951", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 198.73 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.72867507281512, + "fos_buckling": 1.2605416245386745, + "fos_yielding": 6.0917599344949735, + "deflection": 0.014503571766871767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006282)" + }, + "parent_node_id": "node_1950", + "improvement_over_parent": null + }, + "node_1952": { + "node_id": "node_1952", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.14 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.14029795527682, + "fos_buckling": 1.5326111147163506, + "fos_yielding": 7.733752308778015, + "deflection": 0.011501036170135278, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1951", + "improvement_over_parent": null + }, + "node_1953": { + "node_id": "node_1953", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1952", + "improvement_over_parent": null + }, + "node_1954": { + "node_id": "node_1954", + "content": "INITIAL DESIGN (Trace 275)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 195.64 kg\n Factor of Safety: 0.40\n Max Deflection: 2.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.64160171684463, + "fos_buckling": 0.40288961020866304, + "fos_yielding": 1.6086289293565121, + "deflection": 0.02993254548758292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1955": { + "node_id": "node_1955", + "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 200.11 kg\n Factor of Safety: 0.40\n Max Deflection: 2.96e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.10534421707425, + "fos_buckling": 0.40280220113170434, + "fos_yielding": 1.679904816366194, + "deflection": 0.029631024139712248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.560)" + }, + "parent_node_id": "node_1954", + "improvement_over_parent": null + }, + "node_1956": { + "node_id": "node_1956", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n\nPerformance:\n Mass: 201.61 kg\n Factor of Safety: 0.40\n Max Deflection: 2.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.61210232607758, + "fos_buckling": 0.4026842398469114, + "fos_yielding": 1.679417041717706, + "deflection": 0.026965455614518213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002314)" + }, + "parent_node_id": "node_1955", + "improvement_over_parent": null + }, + "node_1957": { + "node_id": "node_1957", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n Mass: 226.39 kg\n Factor of Safety: 0.44\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.3901311597464, + "fos_buckling": 0.44237136848233266, + "fos_yielding": 1.8793959626099253, + "deflection": 0.024090330753634006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_1956", + "improvement_over_parent": null + }, + "node_1958": { + "node_id": "node_1958", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.51 kg\n Factor of Safety: 1.29\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.51227281159325, + "fos_buckling": 1.294781515158986, + "fos_yielding": 5.378645009003293, + "deflection": 0.011658391684608867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_1957", + "improvement_over_parent": null + }, + "node_1959": { + "node_id": "node_1959", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.28 kg\n Factor of Safety: 1.30\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.28138086976358, + "fos_buckling": 1.2959356609532593, + "fos_yielding": 5.383439439911791, + "deflection": 0.01163014914352576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.546)" + }, + "parent_node_id": "node_1958", + "improvement_over_parent": null + }, + "node_1960": { + "node_id": "node_1960", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1959", + "improvement_over_parent": null + }, + "node_1961": { + "node_id": "node_1961", + "content": "INITIAL DESIGN (Trace 276)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n Mass: 110.89 kg\n Factor of Safety: 0.28\n Max Deflection: 4.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.89342002997408, + "fos_buckling": 0.2846819588245895, + "fos_yielding": 1.542184958181698, + "deflection": 0.04953722556271394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1962": { + "node_id": "node_1962", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n\nPerformance:\n Mass: 125.79 kg\n Factor of Safety: 0.27\n Max Deflection: 2.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.79259890558659, + "fos_buckling": 0.26667475783252986, + "fos_yielding": 3.5365007233399344, + "deflection": 0.028535396774669413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004648)" + }, + "parent_node_id": "node_1961", + "improvement_over_parent": null + }, + "node_1963": { + "node_id": "node_1963", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 136.83 kg\n Factor of Safety: 0.59\n Max Deflection: 2.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.83399331605708, + "fos_buckling": 0.5886698844920418, + "fos_yielding": 4.077823140372179, + "deflection": 0.0246891973513597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003851)" + }, + "parent_node_id": "node_1962", + "improvement_over_parent": null + }, + "node_1964": { + "node_id": "node_1964", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n Mass: 148.26 kg\n Factor of Safety: 0.93\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.26193148771236, + "fos_buckling": 0.9309677337692425, + "fos_yielding": 4.578165620076514, + "deflection": 0.019250525639713495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004071)" + }, + "parent_node_id": "node_1963", + "improvement_over_parent": null + }, + "node_1965": { + "node_id": "node_1965", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n\nPerformance:\n Mass: 189.74 kg\n Factor of Safety: 1.16\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.74202685336007, + "fos_buckling": 1.1575764767194192, + "fos_yielding": 5.861087288120097, + "deflection": 0.015114974310466664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_1964", + "improvement_over_parent": null + }, + "node_1966": { + "node_id": "node_1966", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 219.19 kg\n Factor of Safety: 1.31\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.1888970426194, + "fos_buckling": 1.3097263214143662, + "fos_yielding": 6.772361069872152, + "deflection": 0.013129157668522158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1965", + "improvement_over_parent": null + }, + "node_1967": { + "node_id": "node_1967", + "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0043)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 219.62 kg\n Factor of Safety: 1.31\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.62343459475633, + "fos_buckling": 1.3119444009116445, + "fos_yielding": 7.982044906496422, + "deflection": 0.01306354362937846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.215)" + }, + "parent_node_id": "node_1966", + "improvement_over_parent": null + }, + "node_1968": { + "node_id": "node_1968", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0049)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 250.63 kg\n Factor of Safety: 1.46\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.6260255945989, + "fos_buckling": 1.4643443907374296, + "fos_yielding": 9.087094082136145, + "deflection": 0.011489459187034671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1967", + "improvement_over_parent": null + }, + "node_1969": { + "node_id": "node_1969", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1968", + "improvement_over_parent": null + }, + "node_1970": { + "node_id": "node_1970", + "content": "INITIAL DESIGN (Trace 277)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 168.22 kg\n Factor of Safety: 0.68\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.2247481849069, + "fos_buckling": 0.6843550390451902, + "fos_yielding": 4.143858003879944, + "deflection": 0.021127252716893894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1971": { + "node_id": "node_1971", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n\nPerformance:\n Mass: 179.56 kg\n Factor of Safety: 0.74\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.56306652994624, + "fos_buckling": 0.7383623841851576, + "fos_yielding": 5.271401342096012, + "deflection": 0.019024853925855983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004695)" + }, + "parent_node_id": "node_1970", + "improvement_over_parent": null + }, + "node_1972": { + "node_id": "node_1972", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 194.40 kg\n Factor of Safety: 1.24\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.39723318239268, + "fos_buckling": 1.2375479096099378, + "fos_yielding": 5.959055602203256, + "deflection": 0.014820261663066204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005370)" + }, + "parent_node_id": "node_1971", + "improvement_over_parent": null + }, + "node_1973": { + "node_id": "node_1973", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.48980868897445, + "fos_buckling": 1.5346447297493224, + "fos_yielding": 7.744964666809027, + "deflection": 0.01148622819436237, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1972", + "improvement_over_parent": null + }, + "node_1974": { + "node_id": "node_1974", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1973", + "improvement_over_parent": null + }, + "node_1975": { + "node_id": "node_1975", + "content": "INITIAL DESIGN (Trace 278)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 204.83 kg\n Factor of Safety: 0.68\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.8285514503215, + "fos_buckling": 0.6834813500276892, + "fos_yielding": 4.836676420802883, + "deflection": 0.014580350238955866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1976": { + "node_id": "node_1976", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n Mass: 219.52 kg\n Factor of Safety: 1.27\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.52240128307594, + "fos_buckling": 1.2659179890996501, + "fos_yielding": 6.664699311175094, + "deflection": 0.013101493212449623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005562)" + }, + "parent_node_id": "node_1975", + "improvement_over_parent": null + }, + "node_1977": { + "node_id": "node_1977", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 249.13 kg\n Factor of Safety: 1.41\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.1290105977364, + "fos_buckling": 1.4139818393524606, + "fos_yielding": 7.5674545933805115, + "deflection": 0.011583315209715958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_1976", + "improvement_over_parent": null + }, + "node_1978": { + "node_id": "node_1978", + "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0082)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.93 kg\n Factor of Safety: 1.41\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.93349472790848, + "fos_buckling": 1.4075772816277063, + "fos_yielding": 7.582793051302791, + "deflection": 0.01151700549262625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.241)" + }, + "parent_node_id": "node_1977", + "improvement_over_parent": null + }, + "node_1979": { + "node_id": "node_1979", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1978", + "improvement_over_parent": null + }, + "node_1980": { + "node_id": "node_1980", + "content": "INITIAL DESIGN (Trace 279)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 154.94 kg\n Factor of Safety: 0.66\n Max Deflection: 2.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.94033588766854, + "fos_buckling": 0.6632594043815565, + "fos_yielding": 2.7356455992438096, + "deflection": 0.02347972291202896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1981": { + "node_id": "node_1981", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 174.63 kg\n Factor of Safety: 0.74\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.6340527311928, + "fos_buckling": 0.7370559523319894, + "fos_yielding": 3.101596739855383, + "deflection": 0.020866894102254077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1980", + "improvement_over_parent": null + }, + "node_1982": { + "node_id": "node_1982", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n Mass: 176.59 kg\n Factor of Safety: 0.74\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.59037944980298, + "fos_buckling": 0.7367753475285757, + "fos_yielding": 5.258190266643602, + "deflection": 0.019182109378463975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003053)" + }, + "parent_node_id": "node_1981", + "improvement_over_parent": null + }, + "node_1983": { + "node_id": "node_1983", + "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n Mass: 177.08 kg\n Factor of Safety: 0.74\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.07678101930975, + "fos_buckling": 0.7367753475285754, + "fos_yielding": 5.258190266643602, + "deflection": 0.01915408966139377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.427)" + }, + "parent_node_id": "node_1982", + "improvement_over_parent": null + }, + "node_1984": { + "node_id": "node_1984", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n Mass: 179.41 kg\n Factor of Safety: 0.74\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.41476705638152, + "fos_buckling": 0.7366915519954704, + "fos_yielding": 5.257592237871282, + "deflection": 0.019045476200929695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.279)" + }, + "parent_node_id": "node_1983", + "improvement_over_parent": null + }, + "node_1985": { + "node_id": "node_1985", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 194.22 kg\n Factor of Safety: 1.23\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.21799934917954, + "fos_buckling": 1.23473805934535, + "fos_yielding": 5.930648033272759, + "deflection": 0.01483025108734544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005358)" + }, + "parent_node_id": "node_1984", + "improvement_over_parent": null + }, + "node_1986": { + "node_id": "node_1986", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0047)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.94 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.94425227101854, + "fos_buckling": 1.5347998103192577, + "fos_yielding": 7.729943338147426, + "deflection": 0.011462902930266418, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1985", + "improvement_over_parent": null + }, + "node_1987": { + "node_id": "node_1987", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1986", + "improvement_over_parent": null + }, + "node_1988": { + "node_id": "node_1988", + "content": "INITIAL DESIGN (Trace 280)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 192.24 kg\n Factor of Safety: 1.16\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.2408349301574, + "fos_buckling": 1.1597565539053998, + "fos_yielding": 5.040728071652285, + "deflection": 0.015101829937019503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1989": { + "node_id": "node_1989", + "content": "MODIFICATION: Increase 11 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 197.30 kg\n Factor of Safety: 1.14\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.2994663191224, + "fos_buckling": 1.1388382479789738, + "fos_yielding": 4.769829571142034, + "deflection": 0.014770013202367479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.410)" + }, + "parent_node_id": "node_1988", + "improvement_over_parent": null + }, + "node_1990": { + "node_id": "node_1990", + "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 197.79 kg\n Factor of Safety: 1.11\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.79238585943367, + "fos_buckling": 1.1147153470886306, + "fos_yielding": 5.436329254537744, + "deflection": 0.014632309297714119, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.351)" + }, + "parent_node_id": "node_1989", + "improvement_over_parent": null + }, + "node_1991": { + "node_id": "node_1991", + "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 198.28 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.28141185651074, + "fos_buckling": 1.2584108573262203, + "fos_yielding": 6.075222078378805, + "deflection": 0.014536471269553363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.443)" + }, + "parent_node_id": "node_1990", + "improvement_over_parent": null + }, + "node_1992": { + "node_id": "node_1992", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46937882330553, + "fos_buckling": 1.5345149687002886, + "fos_yielding": 7.740395029617327, + "deflection": 0.011487186150482777, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1991", + "improvement_over_parent": null + }, + "node_1993": { + "node_id": "node_1993", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1992", + "improvement_over_parent": null + }, + "node_1994": { + "node_id": "node_1994", + "content": "INITIAL DESIGN (Trace 281)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 132.15 kg\n Factor of Safety: 0.11\n Max Deflection: 2.94e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.14863526678036, + "fos_buckling": 0.11226027165027122, + "fos_yielding": 1.6949155087519892, + "deflection": 29391135567530.43, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1995": { + "node_id": "node_1995", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 147.48 kg\n Factor of Safety: 0.14\n Max Deflection: 1.11e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.47533924844396, + "fos_buckling": 0.1425767702581845, + "fos_yielding": 0.7223905136264431, + "deflection": 111472059225526.97, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1994", + "improvement_over_parent": null + }, + "node_1996": { + "node_id": "node_1996", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n Mass: 162.18 kg\n Factor of Safety: 0.73\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.18411511443145, + "fos_buckling": 0.7335745709658372, + "fos_yielding": 4.287727098718519, + "deflection": 0.02056073931992906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005186)" + }, + "parent_node_id": "node_1995", + "improvement_over_parent": null + }, + "node_1997": { + "node_id": "node_1997", + "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n Mass: 165.91 kg\n Factor of Safety: 0.73\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.90774778830826, + "fos_buckling": 0.7333041323628952, + "fos_yielding": 4.286159161698516, + "deflection": 0.020569176928220897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.276)" + }, + "parent_node_id": "node_1996", + "improvement_over_parent": null + }, + "node_1998": { + "node_id": "node_1998", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 180.94 kg\n Factor of Safety: 0.73\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.94274598107773, + "fos_buckling": 0.7322142010972915, + "fos_yielding": 4.279839911505068, + "deflection": 0.016199122076205497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005448)" + }, + "parent_node_id": "node_1997", + "improvement_over_parent": null + }, + "node_1999": { + "node_id": "node_1999", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0057)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 183.04 kg\n Factor of Safety: 0.73\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.04282073416235, + "fos_buckling": 0.7323662469829442, + "fos_yielding": 4.442259122692933, + "deflection": 0.01611710183655656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.199)" + }, + "parent_node_id": "node_1998", + "improvement_over_parent": null + }, + "node_2000": { + "node_id": "node_2000", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0075)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 234.57 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.56820078929948, + "fos_buckling": 0.9022328785052989, + "fos_yielding": 5.672902072716013, + "deflection": 0.012641047786719043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1999", + "improvement_over_parent": null + }, + "node_2001": { + "node_id": "node_2001", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0075)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 251.24 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.23848459555654, + "fos_buckling": 1.4254287122505875, + "fos_yielding": 7.991669946578701, + "deflection": 0.011746269765969425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2000", + "improvement_over_parent": null + }, + "node_2002": { + "node_id": "node_2002", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2001", + "improvement_over_parent": null + }, + "node_2003": { + "node_id": "node_2003", + "content": "INITIAL DESIGN (Trace 282)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 185.56 kg\n Factor of Safety: 0.59\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.5629203131864, + "fos_buckling": 0.5853247675284582, + "fos_yielding": 3.254227103337103, + "deflection": 0.02219239612814977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2004": { + "node_id": "node_2004", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 222.27 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.27282335181235, + "fos_buckling": 0.6782016504477039, + "fos_yielding": 3.8787948779129877, + "deflection": 0.01860389006715436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2003", + "improvement_over_parent": null + }, + "node_2005": { + "node_id": "node_2005", + "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 225.48 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.47632892215273, + "fos_buckling": 0.6778860773280434, + "fos_yielding": 3.8770016854662637, + "deflection": 0.018556176005401756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.261)" + }, + "parent_node_id": "node_2004", + "improvement_over_parent": null + }, + "node_2006": { + "node_id": "node_2006", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.61485249053518, + "fos_buckling": 1.53469928409873, + "fos_yielding": 7.748221998815839, + "deflection": 0.011480948884178046, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2005", + "improvement_over_parent": null + }, + "node_2007": { + "node_id": "node_2007", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2006", + "improvement_over_parent": null + }, + "node_2008": { + "node_id": "node_2008", + "content": "INITIAL DESIGN (Trace 283)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 176.54 kg\n Factor of Safety: 0.57\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.53928338289512, + "fos_buckling": 0.5654871430597516, + "fos_yielding": 3.797259173782813, + "deflection": 0.016820432358605874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2009": { + "node_id": "node_2009", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 177.00 kg\n Factor of Safety: 0.57\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.99868898807284, + "fos_buckling": 0.5654358189135958, + "fos_yielding": 3.796917378153402, + "deflection": 0.01676837648767179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.312)" + }, + "parent_node_id": "node_2008", + "improvement_over_parent": null + }, + "node_2010": { + "node_id": "node_2010", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n Mass: 190.36 kg\n Factor of Safety: 1.10\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.35689937780919, + "fos_buckling": 1.098840729870539, + "fos_yielding": 5.3473359289171984, + "deflection": 0.014849087625800528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005018)" + }, + "parent_node_id": "node_2009", + "improvement_over_parent": null + }, + "node_2011": { + "node_id": "node_2011", + "content": "MODIFICATION: Increase 14 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0078)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n Mass: 196.59 kg\n Factor of Safety: 1.10\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.59378936936525, + "fos_buckling": 1.0987639122847854, + "fos_yielding": 5.346962108194044, + "deflection": 0.01462820388670159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.466)" + }, + "parent_node_id": "node_2010", + "improvement_over_parent": null + }, + "node_2012": { + "node_id": "node_2012", + "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0078)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n Mass: 197.14 kg\n Factor of Safety: 1.12\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.14391706675875, + "fos_buckling": 1.1156567343482906, + "fos_yielding": 5.913205995747981, + "deflection": 0.014521133198329074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.511)" + }, + "parent_node_id": "node_2011", + "improvement_over_parent": null + }, + "node_2013": { + "node_id": "node_2013", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0099)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 245.94 kg\n Factor of Safety: 1.36\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.94168775572933, + "fos_buckling": 1.3614778720695313, + "fos_yielding": 7.389034221162499, + "deflection": 0.011699396074374266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2012", + "improvement_over_parent": null + }, + "node_2014": { + "node_id": "node_2014", + "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0099)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 249.59 kg\n Factor of Safety: 1.35\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.59303489772617, + "fos_buckling": 1.35338858095552, + "fos_yielding": 7.406793683017725, + "deflection": 0.01163010215608298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.362)" + }, + "parent_node_id": "node_2013", + "improvement_over_parent": null + }, + "node_2015": { + "node_id": "node_2015", + "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0063)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0099)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 254.20 kg\n Factor of Safety: 1.34\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.1967796687356, + "fos_buckling": 1.341542925170609, + "fos_yielding": 7.433090524135256, + "deflection": 0.011523634685198502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.403)" + }, + "parent_node_id": "node_2014", + "improvement_over_parent": null + }, + "node_2016": { + "node_id": "node_2016", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2015", + "improvement_over_parent": null + }, + "node_2017": { + "node_id": "node_2017", + "content": "INITIAL DESIGN (Trace 284)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 217.35 kg\n Factor of Safety: 0.57\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.34651855206704, + "fos_buckling": 0.5702698069964223, + "fos_yielding": 6.010288572025316, + "deflection": 0.015318210609141073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2018": { + "node_id": "node_2018", + "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 220.02 kg\n Factor of Safety: 0.57\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.01760123752433, + "fos_buckling": 0.5698350244356118, + "fos_yielding": 6.005706234639582, + "deflection": 0.015016664594881941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.181)" + }, + "parent_node_id": "node_2017", + "improvement_over_parent": null + }, + "node_2019": { + "node_id": "node_2019", + "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 227.79 kg\n Factor of Safety: 0.57\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.78691154996866, + "fos_buckling": 0.5685741437869029, + "fos_yielding": 5.24697591605509, + "deflection": 0.0144543321847635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.464)" + }, + "parent_node_id": "node_2018", + "improvement_over_parent": null + }, + "node_2020": { + "node_id": "node_2020", + "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 230.87 kg\n Factor of Safety: 0.57\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.8730636371398, + "fos_buckling": 0.5680748395499987, + "fos_yielding": 4.9990556822383345, + "deflection": 0.014591279564313943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.215)" + }, + "parent_node_id": "node_2019", + "improvement_over_parent": null + }, + "node_2021": { + "node_id": "node_2021", + "content": "MODIFICATION: Increase 14 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 237.75 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.74696944746523, + "fos_buckling": 0.8434352884227393, + "fos_yielding": 5.001903089227434, + "deflection": 0.013149074134949031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.642)" + }, + "parent_node_id": "node_2020", + "improvement_over_parent": null + }, + "node_2022": { + "node_id": "node_2022", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4714770561228, + "fos_buckling": 1.5345701715551692, + "fos_yielding": 7.7446073112612295, + "deflection": 0.011487051842418074, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2021", + "improvement_over_parent": null + }, + "node_2023": { + "node_id": "node_2023", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2022", + "improvement_over_parent": null + }, + "node_2024": { + "node_id": "node_2024", + "content": "INITIAL DESIGN (Trace 285)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 199.11 kg\n Factor of Safety: 0.61\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.11284468337138, + "fos_buckling": 0.6145058344252851, + "fos_yielding": 3.4166959707915754, + "deflection": 0.020968811371394752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2025": { + "node_id": "node_2025", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 199.74 kg\n Factor of Safety: 0.61\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.73708761386067, + "fos_buckling": 0.6144685926192021, + "fos_yielding": 3.4458566896472838, + "deflection": 0.0208886458077418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001873)" + }, + "parent_node_id": "node_2024", + "improvement_over_parent": null + }, + "node_2026": { + "node_id": "node_2026", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 225.19 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.18816969419473, + "fos_buckling": 0.6771997580284018, + "fos_yielding": 3.872219696211331, + "deflection": 0.01857922473122888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_2025", + "improvement_over_parent": null + }, + "node_2027": { + "node_id": "node_2027", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.33 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.32669326257718, + "fos_buckling": 1.5343145659305164, + "fos_yielding": 7.740429131584523, + "deflection": 0.011493210550249126, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2026", + "improvement_over_parent": null + }, + "node_2028": { + "node_id": "node_2028", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2027", + "improvement_over_parent": null + }, + "node_2029": { + "node_id": "node_2029", + "content": "INITIAL DESIGN (Trace 286)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 231.89 kg\n Factor of Safety: 1.14\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.89207978244016, + "fos_buckling": 1.1363303781939238, + "fos_yielding": 6.982471627730687, + "deflection": 0.013350988902399394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2030": { + "node_id": "node_2030", + "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 240.98 kg\n Factor of Safety: 1.53\n Max Deflection: 1.24e-02 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 240.97604736263213, + "fos_buckling": 1.5346568831202376, + "fos_yielding": 7.411074653705752, + "deflection": 0.012370916166319645, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.621)" + }, + "parent_node_id": "node_2029", + "improvement_over_parent": null + }, + "node_2031": { + "node_id": "node_2031", + "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.23 kg\n Factor of Safety: 1.48\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.23103159285418, + "fos_buckling": 1.478967037025141, + "fos_yielding": 7.97970973611045, + "deflection": 0.011580397202193494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.422)" + }, + "parent_node_id": "node_2030", + "improvement_over_parent": null + }, + "node_2032": { + "node_id": "node_2032", + "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.45174258039802, + "fos_buckling": 1.5345612315654182, + "fos_yielding": 7.743221695875105, + "deflection": 0.011488769613876416, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.372)" + }, + "parent_node_id": "node_2031", + "improvement_over_parent": null + }, + "node_2033": { + "node_id": "node_2033", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2032", + "improvement_over_parent": null + }, + "node_2034": { + "node_id": "node_2034", + "content": "INITIAL DESIGN (Trace 287)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 125.35 kg\n Factor of Safety: 0.44\n Max Deflection: 1.42e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.34663810501006, + "fos_buckling": 0.4385926839464137, + "fos_yielding": 3.1864738246912805, + "deflection": 14154177323729.105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2035": { + "node_id": "node_2035", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n\nPerformance:\n Mass: 136.35 kg\n Factor of Safety: 0.26\n Max Deflection: 2.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.34761179645446, + "fos_buckling": 0.26437165382190086, + "fos_yielding": 3.964791332569441, + "deflection": 0.024903202535324076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004079)" + }, + "parent_node_id": "node_2034", + "improvement_over_parent": null + }, + "node_2036": { + "node_id": "node_2036", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n\nPerformance:\n Mass: 151.71 kg\n Factor of Safety: 0.26\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.7148428384201, + "fos_buckling": 0.26397050345388157, + "fos_yielding": 3.5442333752975075, + "deflection": 0.020338191281160448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004821)" + }, + "parent_node_id": "node_2035", + "improvement_over_parent": null + }, + "node_2037": { + "node_id": "node_2037", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n\nPerformance:\n Mass: 191.04 kg\n Factor of Safety: 0.32\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.0414757952209, + "fos_buckling": 0.32276219660235783, + "fos_yielding": 4.463851984681053, + "deflection": 0.016214297526048988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2036", + "improvement_over_parent": null + }, + "node_2038": { + "node_id": "node_2038", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 229.72 kg\n Factor of Safety: 0.38\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.7195504414611, + "fos_buckling": 0.3767471954152492, + "fos_yielding": 5.368588441918441, + "deflection": 0.013535698255022103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2037", + "improvement_over_parent": null + }, + "node_2039": { + "node_id": "node_2039", + "content": "MODIFICATION: Increase 14 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0095)]\n\nPerformance:\n Mass: 235.22 kg\n Factor of Safety: 0.38\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.21507543692056, + "fos_buckling": 0.3765432190956197, + "fos_yielding": 5.249220120482422, + "deflection": 0.01338523647507236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.267)" + }, + "parent_node_id": "node_2038", + "improvement_over_parent": null + }, + "node_2040": { + "node_id": "node_2040", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0095)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 254.06 kg\n Factor of Safety: 1.40\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.06312345223276, + "fos_buckling": 1.3997915651117694, + "fos_yielding": 7.514937156454205, + "deflection": 0.011438271271817669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2039", + "improvement_over_parent": null + }, + "node_2041": { + "node_id": "node_2041", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2040", + "improvement_over_parent": null + }, + "node_2042": { + "node_id": "node_2042", + "content": "INITIAL DESIGN (Trace 288)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 135.05 kg\n Factor of Safety: 0.60\n Max Deflection: 2.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.0494676791468, + "fos_buckling": 0.5950810235874617, + "fos_yielding": 4.127160796705833, + "deflection": 0.02448893306835067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2043": { + "node_id": "node_2043", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n Mass: 149.03 kg\n Factor of Safety: 0.85\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.0250218721478, + "fos_buckling": 0.8515087982395323, + "fos_yielding": 4.624686492114522, + "deflection": 0.01912098736264221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004361)" + }, + "parent_node_id": "node_2042", + "improvement_over_parent": null + }, + "node_2044": { + "node_id": "node_2044", + "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n\nPerformance:\n Mass: 151.54 kg\n Factor of Safety: 1.00\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.53761373745664, + "fos_buckling": 0.9972150910561294, + "fos_yielding": 4.642979766855807, + "deflection": 0.018918750813136043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.418)" + }, + "parent_node_id": "node_2043", + "improvement_over_parent": null + }, + "node_2045": { + "node_id": "node_2045", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n\nPerformance:\n Mass: 189.40 kg\n Factor of Safety: 1.21\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.4038314691865, + "fos_buckling": 1.2104708705324085, + "fos_yielding": 5.805676679762163, + "deflection": 0.015202315260486134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_2044", + "improvement_over_parent": null + }, + "node_2046": { + "node_id": "node_2046", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n\nPerformance:\n Mass: 211.17 kg\n Factor of Safety: 1.33\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.17406275695825, + "fos_buckling": 1.3267066969125814, + "fos_yielding": 6.474595395750332, + "deflection": 0.013669048945215834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2045", + "improvement_over_parent": null + }, + "node_2047": { + "node_id": "node_2047", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.51357704268437, + "fos_buckling": 1.534751334159763, + "fos_yielding": 7.745721834446736, + "deflection": 0.011485193171306602, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_2046", + "improvement_over_parent": null + }, + "node_2048": { + "node_id": "node_2048", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2047", + "improvement_over_parent": null + }, + "node_2049": { + "node_id": "node_2049", + "content": "INITIAL DESIGN (Trace 289)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 174.62 kg\n Factor of Safety: 0.35\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.62105469069368, + "fos_buckling": 0.3471446573113596, + "fos_yielding": 4.447426975283897, + "deflection": 0.019066937232726056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2050": { + "node_id": "node_2050", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 179.29 kg\n Factor of Safety: 0.35\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.29321238959716, + "fos_buckling": 0.3469839131426628, + "fos_yielding": 4.6410664086497135, + "deflection": 0.01845132244211766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.362)" + }, + "parent_node_id": "node_2049", + "improvement_over_parent": null + }, + "node_2051": { + "node_id": "node_2051", + "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 184.14 kg\n Factor of Safety: 0.35\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.1351516284169, + "fos_buckling": 0.3464851062921645, + "fos_yielding": 4.643354997013388, + "deflection": 0.0173188814236117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.582)" + }, + "parent_node_id": "node_2050", + "improvement_over_parent": null + }, + "node_2052": { + "node_id": "node_2052", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 222.69 kg\n Factor of Safety: 0.41\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.6905376458793, + "fos_buckling": 0.40598933135692084, + "fos_yielding": 5.610875112644723, + "deflection": 0.014364527517508963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_2051", + "improvement_over_parent": null + }, + "node_2053": { + "node_id": "node_2053", + "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 229.41 kg\n Factor of Safety: 0.41\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.40915846068847, + "fos_buckling": 0.40571963858243487, + "fos_yielding": 5.376425309304966, + "deflection": 0.014086142508120745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.445)" + }, + "parent_node_id": "node_2052", + "improvement_over_parent": null + }, + "node_2054": { + "node_id": "node_2054", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.62 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.6173509749414, + "fos_buckling": 0.4052138422387699, + "fos_yielding": 5.374857788564224, + "deflection": 0.013391901101185849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.221)" + }, + "parent_node_id": "node_2053", + "improvement_over_parent": null + }, + "node_2055": { + "node_id": "node_2055", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4653989902536, + "fos_buckling": 1.5346667384824448, + "fos_yielding": 7.744229833186851, + "deflection": 0.011487552284715253, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2054", + "improvement_over_parent": null + }, + "node_2056": { + "node_id": "node_2056", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2055", + "improvement_over_parent": null + }, + "node_2057": { + "node_id": "node_2057", + "content": "INITIAL DESIGN (Trace 290)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 150.73 kg\n Factor of Safety: 0.01\n Max Deflection: 1.92e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.72923997216722, + "fos_buckling": 0.013952152853443329, + "fos_yielding": 0.21186443859399864, + "deflection": 192405809194394.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2058": { + "node_id": "node_2058", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 151.07 kg\n Factor of Safety: 0.01\n Max Deflection: 1.92e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.0665121595864, + "fos_buckling": 0.013952152853443329, + "fos_yielding": 0.21186443859399864, + "deflection": 192405809194394.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.294)" + }, + "parent_node_id": "node_2057", + "improvement_over_parent": null + }, + "node_2059": { + "node_id": "node_2059", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n Mass: 152.93 kg\n Factor of Safety: 0.52\n Max Deflection: 2.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.9328254132921, + "fos_buckling": 0.524606421583608, + "fos_yielding": 2.868524340438503, + "deflection": 0.026303627048795537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002903)" + }, + "parent_node_id": "node_2058", + "improvement_over_parent": null + }, + "node_2060": { + "node_id": "node_2060", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n Mass: 182.03 kg\n Factor of Safety: 0.61\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.032032457566, + "fos_buckling": 0.6077139967623942, + "fos_yielding": 3.4015758613323976, + "deflection": 0.022164079086063992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_2059", + "improvement_over_parent": null + }, + "node_2061": { + "node_id": "node_2061", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n\nPerformance:\n Mass: 196.58 kg\n Factor of Safety: 0.61\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.58452780812516, + "fos_buckling": 0.6064256965702782, + "fos_yielding": 3.3944055328547384, + "deflection": 0.021216610884668446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005504)" + }, + "parent_node_id": "node_2060", + "improvement_over_parent": null + }, + "node_2062": { + "node_id": "node_2062", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 225.22 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.21580666152153, + "fos_buckling": 0.6772313210076334, + "fos_yielding": 3.8744315122963204, + "deflection": 0.018577243948227982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2061", + "improvement_over_parent": null + }, + "node_2063": { + "node_id": "node_2063", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35433022990398, + "fos_buckling": 1.5343628802203697, + "fos_yielding": 7.740847553080851, + "deflection": 0.011492274027029209, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2062", + "improvement_over_parent": null + }, + "node_2064": { + "node_id": "node_2064", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2063", + "improvement_over_parent": null + }, + "node_2065": { + "node_id": "node_2065", + "content": "INITIAL DESIGN (Trace 291)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0020)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0028)]\n\nPerformance:\n Mass: 91.02 kg\n Factor of Safety: 0.41\n Max Deflection: 3.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 91.01911951641958, + "fos_buckling": 0.412509950443662, + "fos_yielding": 2.1713706736735485, + "deflection": 0.03510645457121495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2066": { + "node_id": "node_2066", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0020)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0028)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n\nPerformance:\n Mass: 99.15 kg\n Factor of Safety: 0.41\n Max Deflection: 3.15e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 99.14697873989591, + "fos_buckling": 0.4115323916227776, + "fos_yielding": 2.1921013338082793, + "deflection": 0.031521881489552546, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.002778)" + }, + "parent_node_id": "node_2065", + "improvement_over_parent": null + }, + "node_2067": { + "node_id": "node_2067", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0025)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n\nPerformance:\n Mass: 119.57 kg\n Factor of Safety: 0.49\n Max Deflection: 2.62e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.57028223212897, + "fos_buckling": 0.4870963373144297, + "fos_yielding": 2.633413923261453, + "deflection": 0.026200599803639063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_2066", + "improvement_over_parent": null + }, + "node_2068": { + "node_id": "node_2068", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n\nPerformance:\n Mass: 123.64 kg\n Factor of Safety: 0.49\n Max Deflection: 2.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.63888843934039, + "fos_buckling": 0.4869045612506092, + "fos_yielding": 2.6548786544202176, + "deflection": 0.024924779502831132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.558)" + }, + "parent_node_id": "node_2067", + "improvement_over_parent": null + }, + "node_2069": { + "node_id": "node_2069", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n\nPerformance:\n Mass: 131.29 kg\n Factor of Safety: 0.88\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.29326356259463, + "fos_buckling": 0.8772072222606049, + "fos_yielding": 4.022164187118705, + "deflection": 0.021784179981882385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003099)" + }, + "parent_node_id": "node_2068", + "improvement_over_parent": null + }, + "node_2070": { + "node_id": "node_2070", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n Mass: 168.47 kg\n Factor of Safety: 1.09\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.46749929310855, + "fos_buckling": 1.0940902400846695, + "fos_yielding": 5.163183236816304, + "deflection": 0.017049958403824176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_2069", + "improvement_over_parent": null + }, + "node_2071": { + "node_id": "node_2071", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n Mass: 197.22 kg\n Factor of Safety: 1.25\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.220296976998, + "fos_buckling": 1.252492788184699, + "fos_yielding": 6.046379496585974, + "deflection": 0.014612274353802584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2070", + "improvement_over_parent": null + }, + "node_2072": { + "node_id": "node_2072", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.38 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.38010376663004, + "fos_buckling": 1.5338170386283614, + "fos_yielding": 7.742337687177422, + "deflection": 0.011490647717063505, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2071", + "improvement_over_parent": null + }, + "node_2073": { + "node_id": "node_2073", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2072", + "improvement_over_parent": null + }, + "node_2074": { + "node_id": "node_2074", + "content": "INITIAL DESIGN (Trace 292)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2075": { + "node_id": "node_2075", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n\nPerformance:\n Mass: 182.83 kg\n Factor of Safety: 0.76\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.8254659346092, + "fos_buckling": 0.762821732425292, + "fos_yielding": 5.474345827938832, + "deflection": 0.018340518192281205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005594)" + }, + "parent_node_id": "node_2074", + "improvement_over_parent": null + }, + "node_2076": { + "node_id": "node_2076", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 228.79 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.79189183173335, + "fos_buckling": 0.9169181450228472, + "fos_yielding": 6.8188196338176095, + "deflection": 0.014732680181671336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2075", + "improvement_over_parent": null + }, + "node_2077": { + "node_id": "node_2077", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.08 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.0777314338306, + "fos_buckling": 1.4367279584520403, + "fos_yielding": 6.06814248958838, + "deflection": 0.01158274826061071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_2076", + "improvement_over_parent": null + }, + "node_2078": { + "node_id": "node_2078", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.29 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.28821824825064, + "fos_buckling": 1.4405045695329817, + "fos_yielding": 6.084093327067455, + "deflection": 0.011580608709178255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.340)" + }, + "parent_node_id": "node_2077", + "improvement_over_parent": null + }, + "node_2079": { + "node_id": "node_2079", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2078", + "improvement_over_parent": null + }, + "node_2080": { + "node_id": "node_2080", + "content": "INITIAL DESIGN (Trace 293)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0036)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 136.48 kg\n Factor of Safety: 0.30\n Max Deflection: 4.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.48499500625698, + "fos_buckling": 0.2954059096027655, + "fos_yielding": 1.179492932427347, + "deflection": 0.04271938152716438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2081": { + "node_id": "node_2081", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 140.76 kg\n Factor of Safety: 0.30\n Max Deflection: 3.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.7607194070277, + "fos_buckling": 0.2952207287170555, + "fos_yielding": 1.1780229834255804, + "deflection": 0.03839048636323573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.379)" + }, + "parent_node_id": "node_2080", + "improvement_over_parent": null + }, + "node_2082": { + "node_id": "node_2082", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 165.58 kg\n Factor of Safety: 0.34\n Max Deflection: 3.27e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.5770388548521, + "fos_buckling": 0.3400599326643701, + "fos_yielding": 1.3809795683127541, + "deflection": 0.03273902677216131, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2081", + "improvement_over_parent": null + }, + "node_2083": { + "node_id": "node_2083", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 196.04 kg\n Factor of Safety: 0.39\n Max Deflection: 2.78e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.04405533955517, + "fos_buckling": 0.3922096119471593, + "fos_yielding": 1.6282623784735641, + "deflection": 0.027757284447126135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2082", + "improvement_over_parent": null + }, + "node_2084": { + "node_id": "node_2084", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n\nPerformance:\n Mass: 217.70 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.69904311113856, + "fos_buckling": 1.360796423555204, + "fos_yielding": 6.6755267714579025, + "deflection": 0.0132703249264043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006925)" + }, + "parent_node_id": "node_2083", + "improvement_over_parent": null + }, + "node_2085": { + "node_id": "node_2085", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.57598502134604, + "fos_buckling": 1.5352158344726368, + "fos_yielding": 7.748070583707243, + "deflection": 0.011483370288931758, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2084", + "improvement_over_parent": null + }, + "node_2086": { + "node_id": "node_2086", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2085", + "improvement_over_parent": null + }, + "node_2087": { + "node_id": "node_2087", + "content": "INITIAL DESIGN (Trace 294)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 167.52 kg\n Factor of Safety: 0.72\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.51766490395917, + "fos_buckling": 0.7196634990691405, + "fos_yielding": 2.1121461094262086, + "deflection": 0.01856374775447349, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2088": { + "node_id": "node_2088", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 182.00 kg\n Factor of Safety: 0.76\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.00198564755814, + "fos_buckling": 0.7597228025535897, + "fos_yielding": 4.244095063772811, + "deflection": 0.016188970796124563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005273)" + }, + "parent_node_id": "node_2087", + "improvement_over_parent": null + }, + "node_2089": { + "node_id": "node_2089", + "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 186.24 kg\n Factor of Safety: 0.76\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.23794490638556, + "fos_buckling": 0.7594046606339614, + "fos_yielding": 4.242334026637042, + "deflection": 0.01581377580660112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.255)" + }, + "parent_node_id": "node_2088", + "improvement_over_parent": null + }, + "node_2090": { + "node_id": "node_2090", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 188.59 kg\n Factor of Safety: 0.76\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.59279674680081, + "fos_buckling": 0.7595814889949529, + "fos_yielding": 4.4684533588469115, + "deflection": 0.0156980567359427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.263)" + }, + "parent_node_id": "node_2089", + "improvement_over_parent": null + }, + "node_2091": { + "node_id": "node_2091", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 231.60 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.60259566738097, + "fos_buckling": 0.9019470302960226, + "fos_yielding": 5.473854182001987, + "deflection": 0.012837627032312601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_2090", + "improvement_over_parent": null + }, + "node_2092": { + "node_id": "node_2092", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 235.69 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.6949895663477, + "fos_buckling": 0.9015823645803038, + "fos_yielding": 5.471661688373004, + "deflection": 0.012555091673622933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.245)" + }, + "parent_node_id": "node_2091", + "improvement_over_parent": null + }, + "node_2093": { + "node_id": "node_2093", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.37 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.36527337260475, + "fos_buckling": 1.5345157589352745, + "fos_yielding": 7.740619463550286, + "deflection": 0.011491873206901653, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2092", + "improvement_over_parent": null + }, + "node_2094": { + "node_id": "node_2094", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2093", + "improvement_over_parent": null + }, + "node_2095": { + "node_id": "node_2095", + "content": "INITIAL DESIGN (Trace 295)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0019)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0010)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n Mass: 121.38 kg\n Factor of Safety: 0.63\n Max Deflection: 2.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.38420417896037, + "fos_buckling": 0.6296765557362635, + "fos_yielding": 3.8215006209262175, + "deflection": 0.023475492211630384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2096": { + "node_id": "node_2096", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 137.37 kg\n Factor of Safety: 0.71\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.37174775918885, + "fos_buckling": 0.7062495117113488, + "fos_yielding": 4.325213699617633, + "deflection": 0.020782100892243322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2095", + "improvement_over_parent": null + }, + "node_2097": { + "node_id": "node_2097", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0028)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 171.79 kg\n Factor of Safety: 0.87\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.7924452752232, + "fos_buckling": 0.8662716991693646, + "fos_yielding": 5.406607669302944, + "deflection": 0.01668478028275703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2096", + "improvement_over_parent": null + }, + "node_2098": { + "node_id": "node_2098", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 213.78 kg\n Factor of Safety: 1.05\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.77838566978244, + "fos_buckling": 1.0526986652064552, + "fos_yielding": 6.7001457932586845, + "deflection": 0.013473142388350524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2097", + "improvement_over_parent": null + }, + "node_2099": { + "node_id": "node_2099", + "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 214.24 kg\n Factor of Safety: 1.33\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.23552483672404, + "fos_buckling": 1.3257166378328362, + "fos_yielding": 6.741986837155069, + "deflection": 0.013417920744699005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.513)" + }, + "parent_node_id": "node_2098", + "improvement_over_parent": null + }, + "node_2100": { + "node_id": "node_2100", + "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 218.72 kg\n Factor of Safety: 1.37\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.71822711665934, + "fos_buckling": 1.3658629712971304, + "fos_yielding": 6.706089301598584, + "deflection": 0.013209160523257686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.546)" + }, + "parent_node_id": "node_2099", + "improvement_over_parent": null + }, + "node_2101": { + "node_id": "node_2101", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.76 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.7590204394699, + "fos_buckling": 1.535888763910445, + "fos_yielding": 7.75282983485317, + "deflection": 0.011474555502453269, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2100", + "improvement_over_parent": null + }, + "node_2102": { + "node_id": "node_2102", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2101", + "improvement_over_parent": null + }, + "node_2103": { + "node_id": "node_2103", + "content": "INITIAL DESIGN (Trace 296)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 150.33 kg\n Factor of Safety: 0.25\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.33205763162087, + "fos_buckling": 0.2459465480420223, + "fos_yielding": 3.61777519389731, + "deflection": 0.020757852426480188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2104": { + "node_id": "node_2104", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 152.08 kg\n Factor of Safety: 0.25\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.08096732211285, + "fos_buckling": 0.24581891984940987, + "fos_yielding": 3.6158978343126726, + "deflection": 0.02028170360150436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.196)" + }, + "parent_node_id": "node_2103", + "improvement_over_parent": null + }, + "node_2105": { + "node_id": "node_2105", + "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 152.17 kg\n Factor of Safety: 0.29\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.1707735364998, + "fos_buckling": 0.2890805724941518, + "fos_yielding": 3.794813753907462, + "deflection": 0.020234665699593087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.248)" + }, + "parent_node_id": "node_2104", + "improvement_over_parent": null + }, + "node_2106": { + "node_id": "node_2106", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0033)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n\nPerformance:\n Mass: 164.85 kg\n Factor of Safety: 1.03\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.85449269538404, + "fos_buckling": 1.0276904429367995, + "fos_yielding": 5.588964720272504, + "deflection": 0.017423547971457117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004428)" + }, + "parent_node_id": "node_2105", + "improvement_over_parent": null + }, + "node_2107": { + "node_id": "node_2107", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n Mass: 189.66 kg\n Factor of Safety: 1.16\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.66445116447753, + "fos_buckling": 1.1596399075638764, + "fos_yielding": 6.427041133934038, + "deflection": 0.015186685579622793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2106", + "improvement_over_parent": null + }, + "node_2108": { + "node_id": "node_2108", + "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n\nPerformance:\n Mass: 195.42 kg\n Factor of Safety: 1.24\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.42137191596427, + "fos_buckling": 1.2431844053150478, + "fos_yielding": 5.990106553116113, + "deflection": 0.014744187971702427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.502)" + }, + "parent_node_id": "node_2107", + "improvement_over_parent": null + }, + "node_2109": { + "node_id": "node_2109", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.57 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.56964553007845, + "fos_buckling": 1.5351702324310448, + "fos_yielding": 7.746895658841551, + "deflection": 0.011482599756957779, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_2108", + "improvement_over_parent": null + }, + "node_2110": { + "node_id": "node_2110", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2109", + "improvement_over_parent": null + }, + "node_2111": { + "node_id": "node_2111", + "content": "INITIAL DESIGN (Trace 297)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0012)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 132.74 kg\n Factor of Safety: 0.53\n Max Deflection: 2.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.73562998327088, + "fos_buckling": 0.5263769891193337, + "fos_yielding": 2.9127533263206495, + "deflection": 0.02306913426899459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2112": { + "node_id": "node_2112", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 150.19 kg\n Factor of Safety: 0.59\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.18813530783333, + "fos_buckling": 0.5862074218868578, + "fos_yielding": 3.2871448605991054, + "deflection": 0.020432569009656336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_2111", + "improvement_over_parent": null + }, + "node_2113": { + "node_id": "node_2113", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n Mass: 161.61 kg\n Factor of Safety: 0.81\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.61074050592492, + "fos_buckling": 0.8120768253140688, + "fos_yielding": 3.8512234556803953, + "deflection": 0.01788571011602523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004093)" + }, + "parent_node_id": "node_2112", + "improvement_over_parent": null + }, + "node_2114": { + "node_id": "node_2114", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n Mass: 198.08 kg\n Factor of Safety: 0.98\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.07594295392911, + "fos_buckling": 0.9798653123197201, + "fos_yielding": 4.715704286326533, + "deflection": 0.014652906037235227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2113", + "improvement_over_parent": null + }, + "node_2115": { + "node_id": "node_2115", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n Mass: 198.27 kg\n Factor of Safety: 1.13\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.26517525834694, + "fos_buckling": 1.1295345481720223, + "fos_yielding": 5.516809396392012, + "deflection": 0.014594726665821988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.196)" + }, + "parent_node_id": "node_2114", + "improvement_over_parent": null + }, + "node_2116": { + "node_id": "node_2116", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 251.92 kg\n Factor of Safety: 1.39\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.91501738892057, + "fos_buckling": 1.3932486856391626, + "fos_yielding": 6.9888299526173485, + "deflection": 0.011556139534425323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2115", + "improvement_over_parent": null + }, + "node_2117": { + "node_id": "node_2117", + "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.50637609134898, + "fos_buckling": 1.534758328093715, + "fos_yielding": 7.745686935518776, + "deflection": 0.011485326005932096, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.422)" + }, + "parent_node_id": "node_2116", + "improvement_over_parent": null + }, + "node_2118": { + "node_id": "node_2118", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2117", + "improvement_over_parent": null + }, + "node_2119": { + "node_id": "node_2119", + "content": "INITIAL DESIGN (Trace 298)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 190.98 kg\n Factor of Safety: 0.78\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.98392923787085, + "fos_buckling": 0.782687984281302, + "fos_yielding": 4.634602545428536, + "deflection": 0.020170461896894424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2120": { + "node_id": "node_2120", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 226.71 kg\n Factor of Safety: 0.90\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.71462114274243, + "fos_buckling": 0.9027933254892951, + "fos_yielding": 5.491017301478062, + "deflection": 0.01702610027322259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_2119", + "improvement_over_parent": null + }, + "node_2121": { + "node_id": "node_2121", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n Mass: 228.87 kg\n Factor of Safety: 0.90\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.8702886979458, + "fos_buckling": 0.9024087609597472, + "fos_yielding": 5.488695562668842, + "deflection": 0.0137066317100488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003389)" + }, + "parent_node_id": "node_2120", + "improvement_over_parent": null + }, + "node_2122": { + "node_id": "node_2122", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 245.54 kg\n Factor of Safety: 1.47\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.54057250420288, + "fos_buckling": 1.468416516803886, + "fos_yielding": 6.29205852991884, + "deflection": 0.012220913248473455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2121", + "improvement_over_parent": null + }, + "node_2123": { + "node_id": "node_2123", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 245.67 kg\n Factor of Safety: 1.47\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.66553366572293, + "fos_buckling": 1.469243630217048, + "fos_yielding": 6.295602651049965, + "deflection": 0.01222091056003557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.199)" + }, + "parent_node_id": "node_2122", + "improvement_over_parent": null + }, + "node_2124": { + "node_id": "node_2124", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.34 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3389833160212, + "fos_buckling": 1.5230016390033876, + "fos_yielding": 6.666037313342727, + "deflection": 0.01154190263274314, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.376)" + }, + "parent_node_id": "node_2123", + "improvement_over_parent": null + }, + "node_2125": { + "node_id": "node_2125", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2124", + "improvement_over_parent": null + }, + "node_2126": { + "node_id": "node_2126", + "content": "INITIAL DESIGN (Trace 299)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 217.66 kg\n Factor of Safety: 0.68\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.66209522069778, + "fos_buckling": 0.6779684148806197, + "fos_yielding": 3.879896025148676, + "deflection": 0.020068915323101875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2127": { + "node_id": "node_2127", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 244.80 kg\n Factor of Safety: 1.47\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.80061878908023, + "fos_buckling": 1.468800749652936, + "fos_yielding": 8.108466717230455, + "deflection": 0.0117767019971451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2126", + "improvement_over_parent": null + }, + "node_2128": { + "node_id": "node_2128", + "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 247.37 kg\n Factor of Safety: 1.47\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.37250132516527, + "fos_buckling": 1.4684787659645029, + "fos_yielding": 8.089346814253899, + "deflection": 0.011700925851088487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.220)" + }, + "parent_node_id": "node_2127", + "improvement_over_parent": null + }, + "node_2129": { + "node_id": "node_2129", + "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0084)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.91 kg\n Factor of Safety: 1.47\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.91033076425626, + "fos_buckling": 1.4661296271282247, + "fos_yielding": 7.908477630836878, + "deflection": 0.011635176083225014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.309)" + }, + "parent_node_id": "node_2128", + "improvement_over_parent": null + }, + "node_2130": { + "node_id": "node_2130", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2129", + "improvement_over_parent": null + }, + "node_2131": { + "node_id": "node_2131", + "content": "INITIAL DESIGN (Trace 300)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 171.72 kg\n Factor of Safety: 0.39\n Max Deflection: 2.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.72115944778375, + "fos_buckling": 0.3860334125405711, + "fos_yielding": 1.85790792528126, + "deflection": 0.025056526898143708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2132": { + "node_id": "node_2132", + "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 172.34 kg\n Factor of Safety: 0.54\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.34006196616934, + "fos_buckling": 0.5445542232978586, + "fos_yielding": 2.9602014870533777, + "deflection": 0.02415600798035275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.653)" + }, + "parent_node_id": "node_2131", + "improvement_over_parent": null + }, + "node_2133": { + "node_id": "node_2133", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n Mass: 172.88 kg\n Factor of Safety: 0.54\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.88038569914255, + "fos_buckling": 0.544525579874508, + "fos_yielding": 2.991900060978852, + "deflection": 0.02406337955115396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001603)" + }, + "parent_node_id": "node_2132", + "improvement_over_parent": null + }, + "node_2134": { + "node_id": "node_2134", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n Mass: 193.70 kg\n Factor of Safety: 1.23\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.7008320569991, + "fos_buckling": 1.2337069635067666, + "fos_yielding": 5.9377222637572125, + "deflection": 0.014872399614111298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006110)" + }, + "parent_node_id": "node_2133", + "improvement_over_parent": null + }, + "node_2135": { + "node_id": "node_2135", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46965896700542, + "fos_buckling": 1.5344519415498616, + "fos_yielding": 7.744422595086554, + "deflection": 0.01148714946085656, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_2134", + "improvement_over_parent": null + }, + "node_2136": { + "node_id": "node_2136", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2135", + "improvement_over_parent": null + }, + "node_2137": { + "node_id": "node_2137", + "content": "INITIAL DESIGN (Trace 301)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n\nPerformance:\n Mass: 111.03 kg\n Factor of Safety: 0.06\n Max Deflection: 2.95e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.02878653792382, + "fos_buckling": 0.05740092428392246, + "fos_yielding": 0.8474577543759945, + "deflection": 29469950425332.117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2138": { + "node_id": "node_2138", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 121.58 kg\n Factor of Safety: 0.03\n Max Deflection: 7.95e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.58414148566115, + "fos_buckling": 0.02870046214196123, + "fos_yielding": 0.42372887718799723, + "deflection": 79538736743170.48, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003673)" + }, + "parent_node_id": "node_2137", + "improvement_over_parent": null + }, + "node_2139": { + "node_id": "node_2139", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 142.47 kg\n Factor of Safety: 0.20\n Max Deflection: 8.72e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.469195814527, + "fos_buckling": 0.19553993309073384, + "fos_yielding": 0.4237288771879973, + "deflection": 87172314752087.45, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2138", + "improvement_over_parent": null + }, + "node_2140": { + "node_id": "node_2140", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 176.21 kg\n Factor of Safety: 0.23\n Max Deflection: 1.09e+14 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.21484524221307, + "fos_buckling": 0.228242310297073, + "fos_yielding": 0.4237288771879973, + "deflection": 109245085796234.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2139", + "improvement_over_parent": null + }, + "node_2141": { + "node_id": "node_2141", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n Mass: 178.31 kg\n Factor of Safety: 0.23\n Max Deflection: 6.69e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.30737575266875, + "fos_buckling": 0.228242310297073, + "fos_yielding": 0.8474577543759946, + "deflection": 66918113206886.84, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003282)" + }, + "parent_node_id": "node_2140", + "improvement_over_parent": null + }, + "node_2142": { + "node_id": "node_2142", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 216.95 kg\n Factor of Safety: 0.36\n Max Deflection: 3.84e+13 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.95295720771728, + "fos_buckling": 0.3587196955173496, + "fos_yielding": 2.082095726135901, + "deflection": 38432392393430.54, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2141", + "improvement_over_parent": null + }, + "node_2143": { + "node_id": "node_2143", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 235.80 kg\n Factor of Safety: 0.90\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.80100522302948, + "fos_buckling": 0.9019550462179114, + "fos_yielding": 5.47444675814976, + "deflection": 0.012549589923016517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2142", + "improvement_over_parent": null + }, + "node_2144": { + "node_id": "node_2144", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47128902928654, + "fos_buckling": 1.534549683498352, + "fos_yielding": 7.744103498359981, + "deflection": 0.01148707030781929, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2143", + "improvement_over_parent": null + }, + "node_2145": { + "node_id": "node_2145", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2144", + "improvement_over_parent": null + }, + "node_2146": { + "node_id": "node_2146", + "content": "INITIAL DESIGN (Trace 302)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 199.97 kg\n Factor of Safety: 0.79\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.96601919684844, + "fos_buckling": 0.7891058138054207, + "fos_yielding": 3.48101972618541, + "deflection": 0.01485162829330976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2147": { + "node_id": "node_2147", + "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 200.65 kg\n Factor of Safety: 0.79\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.6544184254572, + "fos_buckling": 0.7889984362736631, + "fos_yielding": 3.480549812727996, + "deflection": 0.01476905988638497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.502)" + }, + "parent_node_id": "node_2146", + "improvement_over_parent": null + }, + "node_2148": { + "node_id": "node_2148", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n Mass: 214.85 kg\n Factor of Safety: 1.35\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.849982819856, + "fos_buckling": 1.3465676109830584, + "fos_yielding": 6.568954932386346, + "deflection": 0.013433422873127645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005358)" + }, + "parent_node_id": "node_2147", + "improvement_over_parent": null + }, + "node_2149": { + "node_id": "node_2149", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.41 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.40524685539356, + "fos_buckling": 1.534968261637621, + "fos_yielding": 7.720741525725051, + "deflection": 0.011483709911532282, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2148", + "improvement_over_parent": null + }, + "node_2150": { + "node_id": "node_2150", + "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.61 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.60605078413528, + "fos_buckling": 1.535209739724738, + "fos_yielding": 7.747916161379303, + "deflection": 0.01148107348858061, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.437)" + }, + "parent_node_id": "node_2149", + "improvement_over_parent": null + }, + "node_2151": { + "node_id": "node_2151", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2150", + "improvement_over_parent": null + }, + "node_2152": { + "node_id": "node_2152", + "content": "INITIAL DESIGN (Trace 303)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 164.52 kg\n Factor of Safety: 1.06\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.51820408961382, + "fos_buckling": 1.0554097719151718, + "fos_yielding": 4.850553909681451, + "deflection": 0.017457735863074218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2153": { + "node_id": "node_2153", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 199.31 kg\n Factor of Safety: 1.24\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.3149855577358, + "fos_buckling": 1.2411574807214316, + "fos_yielding": 5.877920564836566, + "deflection": 0.014467392598825122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_2152", + "improvement_over_parent": null + }, + "node_2154": { + "node_id": "node_2154", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 199.87 kg\n Factor of Safety: 1.27\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.87256972239044, + "fos_buckling": 1.2669538317834694, + "fos_yielding": 6.127296954193306, + "deflection": 0.01442326976097445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001658)" + }, + "parent_node_id": "node_2153", + "improvement_over_parent": null + }, + "node_2155": { + "node_id": "node_2155", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4890638388387, + "fos_buckling": 1.5346447966819665, + "fos_yielding": 7.744962508539411, + "deflection": 0.011486239444455001, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2154", + "improvement_over_parent": null + }, + "node_2156": { + "node_id": "node_2156", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2155", + "improvement_over_parent": null + }, + "node_2157": { + "node_id": "node_2157", + "content": "INITIAL DESIGN (Trace 304)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 217.31 kg\n Factor of Safety: 1.12\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.3135866637886, + "fos_buckling": 1.1167074070027558, + "fos_yielding": 7.0846943867429, + "deflection": 0.01316715970086716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2158": { + "node_id": "node_2158", + "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 221.72 kg\n Factor of Safety: 1.13\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.71857818699692, + "fos_buckling": 1.1276497537824055, + "fos_yielding": 7.154115599785311, + "deflection": 0.013041293097814972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.451)" + }, + "parent_node_id": "node_2157", + "improvement_over_parent": null + }, + "node_2159": { + "node_id": "node_2159", + "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 221.91 kg\n Factor of Safety: 1.32\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.9124889434517, + "fos_buckling": 1.3174471059698363, + "fos_yielding": 7.295463877440935, + "deflection": 0.013016515887475917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.221)" + }, + "parent_node_id": "node_2158", + "improvement_over_parent": null + }, + "node_2160": { + "node_id": "node_2160", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 222.26 kg\n Factor of Safety: 1.34\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.26197892848316, + "fos_buckling": 1.3437528755834935, + "fos_yielding": 7.301823863394898, + "deflection": 0.012987482628472068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.337)" + }, + "parent_node_id": "node_2159", + "improvement_over_parent": null + }, + "node_2161": { + "node_id": "node_2161", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.98 kg\n Factor of Safety: 1.46\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.9844752427869, + "fos_buckling": 1.4637052708912683, + "fos_yielding": 8.111301122761699, + "deflection": 0.0117202136444678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_2160", + "improvement_over_parent": null + }, + "node_2162": { + "node_id": "node_2162", + "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.39266510300803, + "fos_buckling": 1.5342299531991832, + "fos_yielding": 7.740730493146042, + "deflection": 0.01149072254397761, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.332)" + }, + "parent_node_id": "node_2161", + "improvement_over_parent": null + }, + "node_2163": { + "node_id": "node_2163", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2162", + "improvement_over_parent": null + }, + "node_2164": { + "node_id": "node_2164", + "content": "INITIAL DESIGN (Trace 305)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 171.00 kg\n Factor of Safety: 0.61\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.00087308136432, + "fos_buckling": 0.6064943302352845, + "fos_yielding": 4.3558614041575705, + "deflection": 0.019422077502405686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2165": { + "node_id": "node_2165", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n\nPerformance:\n Mass: 183.12 kg\n Factor of Safety: 1.16\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.1246238635891, + "fos_buckling": 1.1563038010205238, + "fos_yielding": 5.399874667206348, + "deflection": 0.015717354902373068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004523)" + }, + "parent_node_id": "node_2164", + "improvement_over_parent": null + }, + "node_2166": { + "node_id": "node_2166", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 1.27\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.73664626516583, + "fos_buckling": 1.2689566535648151, + "fos_yielding": 6.03807595775307, + "deflection": 0.014092972663703858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2165", + "improvement_over_parent": null + }, + "node_2167": { + "node_id": "node_2167", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 205.31 kg\n Factor of Safety: 1.30\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.30922476698524, + "fos_buckling": 1.2958638884698, + "fos_yielding": 6.294393627858651, + "deflection": 0.01405002356593128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001706)" + }, + "parent_node_id": "node_2166", + "improvement_over_parent": null + }, + "node_2168": { + "node_id": "node_2168", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.61 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.61245282141172, + "fos_buckling": 1.5352465494607745, + "fos_yielding": 7.748806068550751, + "deflection": 0.011480760130584198, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_2167", + "improvement_over_parent": null + }, + "node_2169": { + "node_id": "node_2169", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2168", + "improvement_over_parent": null + }, + "node_2170": { + "node_id": "node_2170", + "content": "INITIAL DESIGN (Trace 306)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 174.33 kg\n Factor of Safety: 0.60\n Max Deflection: 2.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.32802060371208, + "fos_buckling": 0.5996578061977057, + "fos_yielding": 2.7187264247643923, + "deflection": 0.02592823828879037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2171": { + "node_id": "node_2171", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 190.50 kg\n Factor of Safety: 0.60\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.4950253803393, + "fos_buckling": 0.5982445459311367, + "fos_yielding": 3.3232217053574646, + "deflection": 0.02172211898868844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005742)" + }, + "parent_node_id": "node_2170", + "improvement_over_parent": null + }, + "node_2172": { + "node_id": "node_2172", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 191.10 kg\n Factor of Safety: 0.60\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.09925235060982, + "fos_buckling": 0.5982094181122848, + "fos_yielding": 3.3383907329304017, + "deflection": 0.021614556500748797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001808)" + }, + "parent_node_id": "node_2171", + "improvement_over_parent": null + }, + "node_2173": { + "node_id": "node_2173", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 222.80 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.79581817036717, + "fos_buckling": 0.6777393606244747, + "fos_yielding": 3.8756607214125927, + "deflection": 0.018605483224138072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2172", + "improvement_over_parent": null + }, + "node_2174": { + "node_id": "node_2174", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 249.93 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 249.93434173874962, + "fos_buckling": 1.5223271415632185, + "fos_yielding": 7.871339803004852, + "deflection": 0.0115377764423139, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2173", + "improvement_over_parent": null + }, + "node_2175": { + "node_id": "node_2175", + "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0081)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 253.17 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.1696323842115, + "fos_buckling": 1.5288978616951594, + "fos_yielding": 7.856696156231729, + "deflection": 0.011471407266830113, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.195)" + }, + "parent_node_id": "node_2174", + "improvement_over_parent": null + }, + "node_2176": { + "node_id": "node_2176", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2175", + "improvement_over_parent": null + }, + "node_2177": { + "node_id": "node_2177", + "content": "INITIAL DESIGN (Trace 307)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 214.20 kg\n Factor of Safety: 1.20\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.20085415213276, + "fos_buckling": 1.1971225034440958, + "fos_yielding": 6.510693148438891, + "deflection": 0.013434573824964135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2178": { + "node_id": "node_2178", + "content": "MODIFICATION: Increase 9 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 214.62 kg\n Factor of Safety: 1.24\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.6203435744399, + "fos_buckling": 1.24421144082419, + "fos_yielding": 6.517371396293157, + "deflection": 0.013394279258307202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.456)" + }, + "parent_node_id": "node_2177", + "improvement_over_parent": null + }, + "node_2179": { + "node_id": "node_2179", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.05 kg\n Factor of Safety: 1.42\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.0498889941723, + "fos_buckling": 1.417196750372861, + "fos_yielding": 7.567376015518469, + "deflection": 0.01158776985821695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2178", + "improvement_over_parent": null + }, + "node_2180": { + "node_id": "node_2180", + "content": "MODIFICATION: Increase 13 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.34580917704534, + "fos_buckling": 1.5339956488908377, + "fos_yielding": 7.740373911520879, + "deflection": 0.011492361133751837, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.233)" + }, + "parent_node_id": "node_2179", + "improvement_over_parent": null + }, + "node_2181": { + "node_id": "node_2181", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2180", + "improvement_over_parent": null + }, + "node_2182": { + "node_id": "node_2182", + "content": "INITIAL DESIGN (Trace 308)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 219.54 kg\n Factor of Safety: 0.44\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.53868553029503, + "fos_buckling": 0.4429910226706676, + "fos_yielding": 1.866042959887724, + "deflection": 0.028235726344317657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2183": { + "node_id": "node_2183", + "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 220.01 kg\n Factor of Safety: 0.44\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.01027260913853, + "fos_buckling": 0.44299102267066737, + "fos_yielding": 1.8835694552875863, + "deflection": 0.028174765655918334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.443)" + }, + "parent_node_id": "node_2182", + "improvement_over_parent": null + }, + "node_2184": { + "node_id": "node_2184", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n\nPerformance:\n Mass: 221.79 kg\n Factor of Safety: 0.44\n Max Deflection: 2.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.79200410476506, + "fos_buckling": 0.44283787557161486, + "fos_yielding": 1.8829240479054188, + "deflection": 0.02575226312357389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002763)" + }, + "parent_node_id": "node_2183", + "improvement_over_parent": null + }, + "node_2185": { + "node_id": "node_2185", + "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n\nPerformance:\n Mass: 222.08 kg\n Factor of Safety: 0.44\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.07941985122702, + "fos_buckling": 0.44282552790759894, + "fos_yielding": 2.562453353614526, + "deflection": 0.025275303423675524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.471)" + }, + "parent_node_id": "node_2184", + "improvement_over_parent": null + }, + "node_2186": { + "node_id": "node_2186", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 247.20 kg\n Factor of Safety: 1.30\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.20156150307386, + "fos_buckling": 1.2957777612070633, + "fos_yielding": 5.412822938301361, + "deflection": 0.012087847500551965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2185", + "improvement_over_parent": null + }, + "node_2187": { + "node_id": "node_2187", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.00 kg\n Factor of Safety: 1.35\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.00231414462627, + "fos_buckling": 1.3480180170033738, + "fos_yielding": 5.631044969379894, + "deflection": 0.011627841148611486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.247)" + }, + "parent_node_id": "node_2186", + "improvement_over_parent": null + }, + "node_2188": { + "node_id": "node_2188", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2187", + "improvement_over_parent": null + }, + "node_2189": { + "node_id": "node_2189", + "content": "INITIAL DESIGN (Trace 309)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 137.13 kg\n Factor of Safety: 0.58\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.12559145242648, + "fos_buckling": 0.5846637383437603, + "fos_yielding": 3.4546549980283454, + "deflection": 0.022859516983606734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2190": { + "node_id": "node_2190", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 137.49 kg\n Factor of Safety: 0.58\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.4897327772742, + "fos_buckling": 0.5846637383437598, + "fos_yielding": 3.423170425150021, + "deflection": 0.022762252803904617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.387)" + }, + "parent_node_id": "node_2189", + "improvement_over_parent": null + }, + "node_2191": { + "node_id": "node_2191", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n Mass: 148.84 kg\n Factor of Safety: 0.20\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.83578857884555, + "fos_buckling": 0.200572309631236, + "fos_yielding": 2.8915687779852894, + "deflection": 0.02093438474705131, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004064)" + }, + "parent_node_id": "node_2190", + "improvement_over_parent": null + }, + "node_2192": { + "node_id": "node_2192", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n Mass: 172.67 kg\n Factor of Safety: 0.23\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.6746041159985, + "fos_buckling": 0.23062576168133947, + "fos_yielding": 3.3629654022985895, + "deflection": 0.018084635896324378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2191", + "improvement_over_parent": null + }, + "node_2193": { + "node_id": "node_2193", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n Mass: 186.62 kg\n Factor of Safety: 1.20\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.61633420288493, + "fos_buckling": 1.1960059132362906, + "fos_yielding": 5.700637056073399, + "deflection": 0.015414746793706259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004897)" + }, + "parent_node_id": "node_2192", + "improvement_over_parent": null + }, + "node_2194": { + "node_id": "node_2194", + "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n Mass: 186.79 kg\n Factor of Safety: 1.20\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.79064260965652, + "fos_buckling": 1.1962460856999104, + "fos_yielding": 5.725225409201404, + "deflection": 0.015410213112276914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.536)" + }, + "parent_node_id": "node_2193", + "improvement_over_parent": null + }, + "node_2195": { + "node_id": "node_2195", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 213.95 kg\n Factor of Safety: 1.34\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.94595555595058, + "fos_buckling": 1.3412178001882888, + "fos_yielding": 6.5595849909857575, + "deflection": 0.013496069969682457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_2194", + "improvement_over_parent": null + }, + "node_2196": { + "node_id": "node_2196", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5125401619819, + "fos_buckling": 1.5347944377441218, + "fos_yielding": 7.7454521735011275, + "deflection": 0.011485112353366193, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_2195", + "improvement_over_parent": null + }, + "node_2197": { + "node_id": "node_2197", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2196", + "improvement_over_parent": null + }, + "node_2198": { + "node_id": "node_2198", + "content": "INITIAL DESIGN (Trace 310)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0030)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0030)]\n\nPerformance:\n Mass: 130.04 kg\n Factor of Safety: 0.29\n Max Deflection: 4.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.0437189222918, + "fos_buckling": 0.2928273525563977, + "fos_yielding": 1.1888608952566644, + "deflection": 0.04647461145158471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2199": { + "node_id": "node_2199", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 168.48 kg\n Factor of Safety: 0.37\n Max Deflection: 3.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.4789959913736, + "fos_buckling": 0.36618426097405654, + "fos_yielding": 1.5306308034987932, + "deflection": 0.0359683089559857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_2198", + "improvement_over_parent": null + }, + "node_2200": { + "node_id": "node_2200", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 188.41 kg\n Factor of Safety: 1.08\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.40896207609643, + "fos_buckling": 1.081857330515209, + "fos_yielding": 5.253967322808215, + "deflection": 0.016105016110099186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006332)" + }, + "parent_node_id": "node_2199", + "improvement_over_parent": null + }, + "node_2201": { + "node_id": "node_2201", + "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0048)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 189.37 kg\n Factor of Safety: 1.06\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.36768631545144, + "fos_buckling": 1.05623140165904, + "fos_yielding": 5.129516723797343, + "deflection": 0.015938800707691953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.531)" + }, + "parent_node_id": "node_2200", + "improvement_over_parent": null + }, + "node_2202": { + "node_id": "node_2202", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0054)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n Mass: 210.39 kg\n Factor of Safety: 1.16\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.39289798400375, + "fos_buckling": 1.1607853343131076, + "fos_yielding": 5.694585960826018, + "deflection": 0.014374232146400436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2201", + "improvement_over_parent": null + }, + "node_2203": { + "node_id": "node_2203", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0062)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 238.84 kg\n Factor of Safety: 1.30\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.83696414925467, + "fos_buckling": 1.2982932273456138, + "fos_yielding": 6.458666609052568, + "deflection": 0.012695690545837478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2202", + "improvement_over_parent": null + }, + "node_2204": { + "node_id": "node_2204", + "content": "MODIFICATION: Increase 15 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0062)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0109)]\n\nPerformance:\n Mass: 246.32 kg\n Factor of Safety: 1.30\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.3155535961675, + "fos_buckling": 1.2994324805209496, + "fos_yielding": 6.464334093321774, + "deflection": 0.01220530341053162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.339)" + }, + "parent_node_id": "node_2203", + "improvement_over_parent": null + }, + "node_2205": { + "node_id": "node_2205", + "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0062)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0109)]\n\nPerformance:\n Mass: 255.97 kg\n Factor of Safety: 1.29\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.970060153742, + "fos_buckling": 1.2914406770851914, + "fos_yielding": 6.424576977664494, + "deflection": 0.011179286304831915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.642)" + }, + "parent_node_id": "node_2204", + "improvement_over_parent": null + }, + "node_2206": { + "node_id": "node_2206", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2205", + "improvement_over_parent": null + }, + "node_2207": { + "node_id": "node_2207", + "content": "INITIAL DESIGN (Trace 311)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 159.56 kg\n Factor of Safety: 0.35\n Max Deflection: 3.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.56469833014535, + "fos_buckling": 0.3534573564175298, + "fos_yielding": 0.982784733399576, + "deflection": 0.03886370910768917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2208": { + "node_id": "node_2208", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 179.20 kg\n Factor of Safety: 0.39\n Max Deflection: 3.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.19723625636277, + "fos_buckling": 0.3897520240893604, + "fos_yielding": 1.1006446933568201, + "deflection": 0.03470340689021713, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_2207", + "improvement_over_parent": null + }, + "node_2209": { + "node_id": "node_2209", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n Mass: 194.40 kg\n Factor of Safety: 0.39\n Max Deflection: 2.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.40045292680446, + "fos_buckling": 0.38946392962350346, + "fos_yielding": 1.6147930330121985, + "deflection": 0.027980817054111217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005556)" + }, + "parent_node_id": "node_2208", + "improvement_over_parent": null + }, + "node_2210": { + "node_id": "node_2210", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 227.67 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.66700310226477, + "fos_buckling": 0.4429712329898483, + "fos_yielding": 1.882544038561101, + "deflection": 0.023992190680069123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2209", + "improvement_over_parent": null + }, + "node_2211": { + "node_id": "node_2211", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.79 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.78914475411162, + "fos_buckling": 1.5363490383134426, + "fos_yielding": 7.757431631229709, + "deflection": 0.01147364023781204, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2210", + "improvement_over_parent": null + }, + "node_2212": { + "node_id": "node_2212", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2211", + "improvement_over_parent": null + }, + "node_2213": { + "node_id": "node_2213", + "content": "INITIAL DESIGN (Trace 312)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 131.04 kg\n Factor of Safety: 0.06\n Max Deflection: 3.91e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.0429334303435, + "fos_buckling": 0.05596705446117525, + "fos_yielding": 0.8474577543759945, + "deflection": 39096386367067.03, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2214": { + "node_id": "node_2214", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 159.24 kg\n Factor of Safety: 0.52\n Max Deflection: 2.55e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.23749278337596, + "fos_buckling": 0.5245496515624644, + "fos_yielding": 1.1299436725013263, + "deflection": 25510246646136.004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2213", + "improvement_over_parent": null + }, + "node_2215": { + "node_id": "node_2215", + "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 162.87 kg\n Factor of Safety: 0.44\n Max Deflection: 1.25e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.87452850458948, + "fos_buckling": 0.4359401691073875, + "fos_yielding": 6.779662035007957, + "deflection": 12480214826348.705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.362)" + }, + "parent_node_id": "node_2214", + "improvement_over_parent": null + }, + "node_2216": { + "node_id": "node_2216", + "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 168.60 kg\n Factor of Safety: 0.82\n Max Deflection: 1.78e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.59680392540588, + "fos_buckling": 0.8207532133900333, + "fos_yielding": 5.600099079280642, + "deflection": 17814802336487.566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.560)" + }, + "parent_node_id": "node_2215", + "improvement_over_parent": null + }, + "node_2217": { + "node_id": "node_2217", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n Mass: 190.44 kg\n Factor of Safety: 0.76\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.44228588215336, + "fos_buckling": 0.7589802041529542, + "fos_yielding": 4.672450428587896, + "deflection": 0.016779551670051143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006991)" + }, + "parent_node_id": "node_2216", + "improvement_over_parent": null + }, + "node_2218": { + "node_id": "node_2218", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n Mass: 206.83 kg\n Factor of Safety: 0.76\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.83279083307312, + "fos_buckling": 0.7554246452916901, + "fos_yielding": 4.375553675973867, + "deflection": 0.015056280333589132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005828)" + }, + "parent_node_id": "node_2217", + "improvement_over_parent": null + }, + "node_2219": { + "node_id": "node_2219", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 237.71 kg\n Factor of Safety: 0.84\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.70927034044786, + "fos_buckling": 0.8434866938058362, + "fos_yielding": 5.001195067568435, + "deflection": 0.013151102007129522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2218", + "improvement_over_parent": null + }, + "node_2220": { + "node_id": "node_2220", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.43377794910543, + "fos_buckling": 1.53451564567281, + "fos_yielding": 7.742784876963577, + "deflection": 0.011489051721377555, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2219", + "improvement_over_parent": null + }, + "node_2221": { + "node_id": "node_2221", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2220", + "improvement_over_parent": null + }, + "node_2222": { + "node_id": "node_2222", + "content": "INITIAL DESIGN (Trace 313)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 220.47 kg\n Factor of Safety: 0.68\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.47217156491283, + "fos_buckling": 0.6776922737178598, + "fos_yielding": 3.8754666838218133, + "deflection": 0.018729389911036086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2223": { + "node_id": "node_2223", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 247.61 kg\n Factor of Safety: 1.34\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.61069513329528, + "fos_buckling": 1.341041180612955, + "fos_yielding": 7.703857100167868, + "deflection": 0.01164702652013527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2222", + "improvement_over_parent": null + }, + "node_2224": { + "node_id": "node_2224", + "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.97 kg\n Factor of Safety: 1.34\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.97341835984898, + "fos_buckling": 1.335182188030679, + "fos_yielding": 7.7354675679246885, + "deflection": 0.011523536405394216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.462)" + }, + "parent_node_id": "node_2223", + "improvement_over_parent": null + }, + "node_2225": { + "node_id": "node_2225", + "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46896819523934, + "fos_buckling": 1.5345109392046046, + "fos_yielding": 7.744418508588055, + "deflection": 0.011487053683041532, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.475)" + }, + "parent_node_id": "node_2224", + "improvement_over_parent": null + }, + "node_2226": { + "node_id": "node_2226", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2225", + "improvement_over_parent": null + }, + "node_2227": { + "node_id": "node_2227", + "content": "INITIAL DESIGN (Trace 314)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n Mass: 146.63 kg\n Factor of Safety: 0.59\n Max Deflection: 2.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.62629111606242, + "fos_buckling": 0.5857985549632814, + "fos_yielding": 4.24278459287925, + "deflection": 0.024920596673615236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2228": { + "node_id": "node_2228", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 168.84 kg\n Factor of Safety: 0.67\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.83802518036194, + "fos_buckling": 0.6658141707377229, + "fos_yielding": 4.8585812955582135, + "deflection": 0.021691353326883978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2227", + "improvement_over_parent": null + }, + "node_2229": { + "node_id": "node_2229", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 205.02 kg\n Factor of Safety: 0.78\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.01881341767643, + "fos_buckling": 0.7778729175734338, + "fos_yielding": 5.847150253450316, + "deflection": 0.01792941153840017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_2228", + "improvement_over_parent": null + }, + "node_2230": { + "node_id": "node_2230", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 207.56 kg\n Factor of Safety: 0.38\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.56480557873857, + "fos_buckling": 0.38415788994646216, + "fos_yielding": 5.844346450652659, + "deflection": 0.016896382148931258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2229", + "improvement_over_parent": null + }, + "node_2231": { + "node_id": "node_2231", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 226.18 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.1803316351059, + "fos_buckling": 0.9167753224802433, + "fos_yielding": 6.8170081808803635, + "deflection": 0.014804774887728205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2230", + "improvement_over_parent": null + }, + "node_2232": { + "node_id": "node_2232", + "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0080)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 229.57 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.5683012763106, + "fos_buckling": 0.9166249526748376, + "fos_yielding": 6.815890052841277, + "deflection": 0.01474627004943364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.214)" + }, + "parent_node_id": "node_2231", + "improvement_over_parent": null + }, + "node_2233": { + "node_id": "node_2233", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0080)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.85 kg\n Factor of Safety: 1.42\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.85414087840783, + "fos_buckling": 1.424331869280336, + "fos_yielding": 7.598952252998928, + "deflection": 0.011511666094109124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_2232", + "improvement_over_parent": null + }, + "node_2234": { + "node_id": "node_2234", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2233", + "improvement_over_parent": null + }, + "node_2235": { + "node_id": "node_2235", + "content": "INITIAL DESIGN (Trace 315)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 193.24 kg\n Factor of Safety: 1.05\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.23639976466941, + "fos_buckling": 1.053115842100202, + "fos_yielding": 5.65258891412103, + "deflection": 0.015159853014511265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2236": { + "node_id": "node_2236", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.96 kg\n Factor of Safety: 1.25\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.9554929931045, + "fos_buckling": 1.245900585779668, + "fos_yielding": 6.849228905025926, + "deflection": 0.012575339228581381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_2235", + "improvement_over_parent": null + }, + "node_2237": { + "node_id": "node_2237", + "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 237.57 kg\n Factor of Safety: 1.25\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.56587681492547, + "fos_buckling": 1.2459907374236845, + "fos_yielding": 7.0701554850770885, + "deflection": 0.012312292242234981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.200)" + }, + "parent_node_id": "node_2236", + "improvement_over_parent": null + }, + "node_2238": { + "node_id": "node_2238", + "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 243.23 kg\n Factor of Safety: 1.25\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.2300007297962, + "fos_buckling": 1.2461307184796386, + "fos_yielding": 7.446272147653905, + "deflection": 0.011909271770839254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.370)" + }, + "parent_node_id": "node_2237", + "improvement_over_parent": null + }, + "node_2239": { + "node_id": "node_2239", + "content": "MODIFICATION: Increase 5 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.47 kg\n Factor of Safety: 1.39\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.46725268617797, + "fos_buckling": 1.3934911449414067, + "fos_yielding": 7.485654226132191, + "deflection": 0.011744021678209824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.605)" + }, + "parent_node_id": "node_2238", + "improvement_over_parent": null + }, + "node_2240": { + "node_id": "node_2240", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.50673489868763, + "fos_buckling": 1.534775972276393, + "fos_yielding": 7.746125128731369, + "deflection": 0.011485205660210024, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.192)" + }, + "parent_node_id": "node_2239", + "improvement_over_parent": null + }, + "node_2241": { + "node_id": "node_2241", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2240", + "improvement_over_parent": null + }, + "node_2242": { + "node_id": "node_2242", + "content": "INITIAL DESIGN (Trace 316)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 115.26 kg\n Factor of Safety: 0.03\n Max Deflection: 5.48e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.2565333028921, + "fos_buckling": 0.026655076376477325, + "fos_yielding": 0.07062147953133287, + "deflection": 548116854048691.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2243": { + "node_id": "node_2243", + "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 115.35 kg\n Factor of Safety: 0.24\n Max Deflection: 5.85e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.35003151121964, + "fos_buckling": 0.23934359967843388, + "fos_yielding": 0.8474577543759946, + "deflection": 58503142721033.36, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.326)" + }, + "parent_node_id": "node_2242", + "improvement_over_parent": null + }, + "node_2244": { + "node_id": "node_2244", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n\nPerformance:\n Mass: 130.54 kg\n Factor of Safety: 0.56\n Max Deflection: 2.60e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.54056833480416, + "fos_buckling": 0.5590443594408759, + "fos_yielding": 3.851376910792646, + "deflection": 0.026023734266065714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004375)" + }, + "parent_node_id": "node_2243", + "improvement_over_parent": null + }, + "node_2245": { + "node_id": "node_2245", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n\nPerformance:\n Mass: 141.32 kg\n Factor of Safety: 0.94\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.32377446221102, + "fos_buckling": 0.9372062863800785, + "fos_yielding": 4.3295993537621325, + "deflection": 0.02026220040667009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003830)" + }, + "parent_node_id": "node_2244", + "improvement_over_parent": null + }, + "node_2246": { + "node_id": "node_2246", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n\nPerformance:\n Mass: 173.53 kg\n Factor of Safety: 1.12\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.53363653888198, + "fos_buckling": 1.1227413278079703, + "fos_yielding": 5.3183356221868925, + "deflection": 0.01656244767609667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2245", + "improvement_over_parent": null + }, + "node_2247": { + "node_id": "node_2247", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 216.41 kg\n Factor of Safety: 1.35\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.41127135061046, + "fos_buckling": 1.3538973047281153, + "fos_yielding": 6.6356654035908065, + "deflection": 0.01334619613448375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_2246", + "improvement_over_parent": null + }, + "node_2248": { + "node_id": "node_2248", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46431138467395, + "fos_buckling": 1.5344226271927561, + "fos_yielding": 7.7443214747578, + "deflection": 0.01148734439918429, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2247", + "improvement_over_parent": null + }, + "node_2249": { + "node_id": "node_2249", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2248", + "improvement_over_parent": null + }, + "node_2250": { + "node_id": "node_2250", + "content": "INITIAL DESIGN (Trace 317)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0026)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n Mass: 89.93 kg\n Factor of Safety: 0.21\n Max Deflection: 3.89e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 89.9292132317329, + "fos_buckling": 0.20584138695659443, + "fos_yielding": 1.4555422648699388, + "deflection": 38868279475324.695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2251": { + "node_id": "node_2251", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 117.23 kg\n Factor of Safety: 0.06\n Max Deflection: 7.26e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.23411615696374, + "fos_buckling": 0.05726759500911007, + "fos_yielding": 0.8474577543759946, + "deflection": 72595166392111.88, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_2250", + "improvement_over_parent": null + }, + "node_2252": { + "node_id": "node_2252", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 117.38 kg\n Factor of Safety: 0.06\n Max Deflection: 7.26e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.37985098476891, + "fos_buckling": 0.05726759500911007, + "fos_yielding": 0.8474577543759946, + "deflection": 72595166392111.88, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.190)" + }, + "parent_node_id": "node_2251", + "improvement_over_parent": null + }, + "node_2253": { + "node_id": "node_2253", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 138.28 kg\n Factor of Safety: 0.41\n Max Deflection: 2.59e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.2769773861104, + "fos_buckling": 0.40681558474940405, + "fos_yielding": 1.6949155087519892, + "deflection": 25897924439392.273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2252", + "improvement_over_parent": null + }, + "node_2254": { + "node_id": "node_2254", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 155.70 kg\n Factor of Safety: 1.32\n Max Deflection: 1.84e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.7031380337946, + "fos_buckling": 1.320790201730149, + "fos_yielding": 3.389831017503978, + "deflection": 18406786998547.652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_2253", + "improvement_over_parent": null + }, + "node_2255": { + "node_id": "node_2255", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 201.95 kg\n Factor of Safety: 0.13\n Max Deflection: 7.71e+13 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.9513287449701, + "fos_buckling": 0.13448269558974155, + "fos_yielding": 1.5816659496089172, + "deflection": 77073359068187.61, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_2254", + "improvement_over_parent": null + }, + "node_2256": { + "node_id": "node_2256", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 225.24 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.23716834706735, + "fos_buckling": 0.6772902324970571, + "fos_yielding": 3.8728442361114217, + "deflection": 0.018573609380368113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_2255", + "improvement_over_parent": null + }, + "node_2257": { + "node_id": "node_2257", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.38 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3756919154498, + "fos_buckling": 1.5345010085442865, + "fos_yielding": 7.740828725807282, + "deflection": 0.011491227502516492, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2256", + "improvement_over_parent": null + }, + "node_2258": { + "node_id": "node_2258", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2257", + "improvement_over_parent": null + }, + "node_2259": { + "node_id": "node_2259", + "content": "INITIAL DESIGN (Trace 318)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 199.91 kg\n Factor of Safety: 0.27\n Max Deflection: 5.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.91295882390153, + "fos_buckling": 0.2743674188985046, + "fos_yielding": 1.0487223388889628, + "deflection": 0.058595865207256764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2260": { + "node_id": "node_2260", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n\nPerformance:\n Mass: 202.20 kg\n Factor of Safety: 0.58\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.20092618073787, + "fos_buckling": 0.5834994048363024, + "fos_yielding": 2.9449014439434156, + "deflection": 0.020844824986276343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003615)" + }, + "parent_node_id": "node_2259", + "improvement_over_parent": null + }, + "node_2261": { + "node_id": "node_2261", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n Mass: 226.59 kg\n Factor of Safety: 1.40\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.58939335350763, + "fos_buckling": 1.3976962630987932, + "fos_yielding": 7.0046755141119235, + "deflection": 0.01278345525559382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007247)" + }, + "parent_node_id": "node_2260", + "improvement_over_parent": null + }, + "node_2262": { + "node_id": "node_2262", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n Mass: 226.89 kg\n Factor of Safety: 1.41\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.8894636483712, + "fos_buckling": 1.4077016110894118, + "fos_yielding": 6.957027935029019, + "deflection": 0.012745078320075086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.202)" + }, + "parent_node_id": "node_2261", + "improvement_over_parent": null + }, + "node_2263": { + "node_id": "node_2263", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49127377091742, + "fos_buckling": 1.5345966094128605, + "fos_yielding": 7.744319530077157, + "deflection": 0.01148617158961033, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2262", + "improvement_over_parent": null + }, + "node_2264": { + "node_id": "node_2264", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2263", + "improvement_over_parent": null + }, + "node_2265": { + "node_id": "node_2265", + "content": "INITIAL DESIGN (Trace 319)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0035)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 193.79 kg\n Factor of Safety: 1.20\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.78722320159173, + "fos_buckling": 1.2036800851562146, + "fos_yielding": 4.938454842025799, + "deflection": 0.0160885732996058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2266": { + "node_id": "node_2266", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 196.55 kg\n Factor of Safety: 1.25\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.5469934769928, + "fos_buckling": 1.2541646717644142, + "fos_yielding": 5.782571821482459, + "deflection": 0.01532446046056787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.252)" + }, + "parent_node_id": "node_2265", + "improvement_over_parent": null + }, + "node_2267": { + "node_id": "node_2267", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 244.28 kg\n Factor of Safety: 1.50\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.281172036134, + "fos_buckling": 1.4974009058048752, + "fos_yielding": 7.193187380290083, + "deflection": 0.012384486649204855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2266", + "improvement_over_parent": null + }, + "node_2268": { + "node_id": "node_2268", + "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.64 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.63676999230648, + "fos_buckling": 1.5353815067963728, + "fos_yielding": 7.749403095044289, + "deflection": 0.01147989459009904, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.515)" + }, + "parent_node_id": "node_2267", + "improvement_over_parent": null + }, + "node_2269": { + "node_id": "node_2269", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2268", + "improvement_over_parent": null + }, + "node_2270": { + "node_id": "node_2270", + "content": "INITIAL DESIGN (Trace 320)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 194.60 kg\n Factor of Safety: 0.80\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.603396726771, + "fos_buckling": 0.8023720293763479, + "fos_yielding": 5.8087899303227655, + "deflection": 0.017416545617603373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2271": { + "node_id": "node_2271", + "content": "MODIFICATION: Increase 14 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 198.20 kg\n Factor of Safety: 0.80\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.2026875905118, + "fos_buckling": 0.8022318151269502, + "fos_yielding": 5.807774846184529, + "deflection": 0.01727204208130466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.318)" + }, + "parent_node_id": "node_2270", + "improvement_over_parent": null + }, + "node_2272": { + "node_id": "node_2272", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.03 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.03171033443874, + "fos_buckling": 0.9152568181584124, + "fos_yielding": 6.804449440857823, + "deflection": 0.014748631258536904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_2271", + "improvement_over_parent": null + }, + "node_2273": { + "node_id": "node_2273", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.30 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.29795115534606, + "fos_buckling": 1.5338442285519551, + "fos_yielding": 7.737889253617119, + "deflection": 0.011494721205966795, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_2272", + "improvement_over_parent": null + }, + "node_2274": { + "node_id": "node_2274", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2273", + "improvement_over_parent": null + }, + "node_2275": { + "node_id": "node_2275", + "content": "INITIAL DESIGN (Trace 321)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 166.97 kg\n Factor of Safety: 0.67\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.9679982368825, + "fos_buckling": 0.6749014533607492, + "fos_yielding": 1.953642631441993, + "deflection": 0.019211342046060825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2276": { + "node_id": "node_2276", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n\nPerformance:\n Mass: 178.09 kg\n Factor of Safety: 0.71\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.0896859586881, + "fos_buckling": 0.7117367567409063, + "fos_yielding": 4.14698326665993, + "deflection": 0.01651817163694666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004599)" + }, + "parent_node_id": "node_2275", + "improvement_over_parent": null + }, + "node_2277": { + "node_id": "node_2277", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n\nPerformance:\n Mass: 209.61 kg\n Factor of Safety: 0.82\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.61335202790602, + "fos_buckling": 0.8180633390477333, + "fos_yielding": 4.873072693663262, + "deflection": 0.014079637127359148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2276", + "improvement_over_parent": null + }, + "node_2278": { + "node_id": "node_2278", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n Mass: 224.43 kg\n Factor of Safety: 1.40\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.43128959160384, + "fos_buckling": 1.395231287317286, + "fos_yielding": 6.882057535507723, + "deflection": 0.012881074147695182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005613)" + }, + "parent_node_id": "node_2277", + "improvement_over_parent": null + }, + "node_2279": { + "node_id": "node_2279", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.62 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.61604415209018, + "fos_buckling": 1.5352506920830533, + "fos_yielding": 7.748822504035487, + "deflection": 0.011480668531790274, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2278", + "improvement_over_parent": null + }, + "node_2280": { + "node_id": "node_2280", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2279", + "improvement_over_parent": null + }, + "node_2281": { + "node_id": "node_2281", + "content": "INITIAL DESIGN (Trace 322)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 158.09 kg\n Factor of Safety: 0.33\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.09234398516455, + "fos_buckling": 0.32954098726907327, + "fos_yielding": 4.084393064712914, + "deflection": 0.02102962105037117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2282": { + "node_id": "node_2282", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n Mass: 197.77 kg\n Factor of Safety: 0.40\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.7686613784059, + "fos_buckling": 0.3970750884342512, + "fos_yielding": 5.063265626496549, + "deflection": 0.016903616704259553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2281", + "improvement_over_parent": null + }, + "node_2283": { + "node_id": "node_2283", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 213.80 kg\n Factor of Safety: 1.16\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.79704066972542, + "fos_buckling": 1.1643809206293214, + "fos_yielding": 6.641210294301852, + "deflection": 0.013427535439741706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005730)" + }, + "parent_node_id": "node_2282", + "improvement_over_parent": null + }, + "node_2284": { + "node_id": "node_2284", + "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 217.49 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.4875308246925, + "fos_buckling": 1.3595595275626111, + "fos_yielding": 6.6687120869410075, + "deflection": 0.013281801527986215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.443)" + }, + "parent_node_id": "node_2283", + "improvement_over_parent": null + }, + "node_2285": { + "node_id": "node_2285", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.72 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.72457083986703, + "fos_buckling": 1.5357799520127906, + "fos_yielding": 7.752287264837019, + "deflection": 0.011475871020020975, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2284", + "improvement_over_parent": null + }, + "node_2286": { + "node_id": "node_2286", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2285", + "improvement_over_parent": null + }, + "node_2287": { + "node_id": "node_2287", + "content": "INITIAL DESIGN (Trace 323)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n\nPerformance:\n Mass: 112.30 kg\n Factor of Safety: 0.24\n Max Deflection: 2.77e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.29800089388878, + "fos_buckling": 0.23976488342778943, + "fos_yielding": 2.875494007172661, + "deflection": 0.027748824504086098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2288": { + "node_id": "node_2288", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 121.24 kg\n Factor of Safety: 0.82\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.23659922510883, + "fos_buckling": 0.8163495062964794, + "fos_yielding": 3.713309756695925, + "deflection": 0.02356473565602437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003087)" + }, + "parent_node_id": "node_2287", + "improvement_over_parent": null + }, + "node_2289": { + "node_id": "node_2289", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 139.86 kg\n Factor of Safety: 0.93\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.85720351014572, + "fos_buckling": 0.9285832412618362, + "fos_yielding": 4.284543287697804, + "deflection": 0.020471185572012243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2288", + "improvement_over_parent": null + }, + "node_2290": { + "node_id": "node_2290", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 176.70 kg\n Factor of Safety: 1.14\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.6950894848111, + "fos_buckling": 1.1404828314739222, + "fos_yielding": 5.4153528225833245, + "deflection": 0.0162719779855991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2289", + "improvement_over_parent": null + }, + "node_2291": { + "node_id": "node_2291", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 222.20 kg\n Factor of Safety: 1.38\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.2049895032409, + "fos_buckling": 1.3838530636035986, + "fos_yielding": 6.813680289784282, + "deflection": 0.013006779713622978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2290", + "improvement_over_parent": null + }, + "node_2292": { + "node_id": "node_2292", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.74 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.73985410245984, + "fos_buckling": 1.5358587056176565, + "fos_yielding": 7.752703102980817, + "deflection": 0.01147516185260674, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_2291", + "improvement_over_parent": null + }, + "node_2293": { + "node_id": "node_2293", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2292", + "improvement_over_parent": null + }, + "node_2294": { + "node_id": "node_2294", + "content": "INITIAL DESIGN (Trace 324)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 162.61 kg\n Factor of Safety: 0.64\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.60920598397908, + "fos_buckling": 0.6373234071387499, + "fos_yielding": 3.622282905369272, + "deflection": 0.018697982177122804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2295": { + "node_id": "node_2295", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 194.88 kg\n Factor of Safety: 0.74\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.8846337116692, + "fos_buckling": 0.7407554054105451, + "fos_yielding": 4.319255231224594, + "deflection": 0.015665177662290947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_2294", + "improvement_over_parent": null + }, + "node_2296": { + "node_id": "node_2296", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 209.98 kg\n Factor of Safety: 1.29\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.97900262465626, + "fos_buckling": 1.2866633037167023, + "fos_yielding": 6.84632296475467, + "deflection": 0.01372511402486441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005513)" + }, + "parent_node_id": "node_2295", + "improvement_over_parent": null + }, + "node_2297": { + "node_id": "node_2297", + "content": "MODIFICATION: Increase 11 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 214.16 kg\n Factor of Safety: 1.34\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.16060515078934, + "fos_buckling": 1.3422541547140128, + "fos_yielding": 6.5667550800955725, + "deflection": 0.01348300913873195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.290)" + }, + "parent_node_id": "node_2296", + "improvement_over_parent": null + }, + "node_2298": { + "node_id": "node_2298", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.38 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3778296669807, + "fos_buckling": 1.53405205231415, + "fos_yielding": 7.741973010188853, + "deflection": 0.011491181463378172, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2297", + "improvement_over_parent": null + }, + "node_2299": { + "node_id": "node_2299", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2298", + "improvement_over_parent": null + }, + "node_2300": { + "node_id": "node_2300", + "content": "INITIAL DESIGN (Trace 325)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2301": { + "node_id": "node_2301", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 215.42 kg\n Factor of Safety: 0.85\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.4173093348299, + "fos_buckling": 0.8456159073557221, + "fos_yielding": 5.378435459938045, + "deflection": 0.016362939112071144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_2300", + "improvement_over_parent": null + }, + "node_2302": { + "node_id": "node_2302", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 234.68 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.6835501557372, + "fos_buckling": 0.8440717341195272, + "fos_yielding": 5.044269465667218, + "deflection": 0.013143101148536576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_2301", + "improvement_over_parent": null + }, + "node_2303": { + "node_id": "node_2303", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47502584414164, + "fos_buckling": 1.5345834237200608, + "fos_yielding": 7.744424127234399, + "deflection": 0.01148688040930253, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_2302", + "improvement_over_parent": null + }, + "node_2304": { + "node_id": "node_2304", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2303", + "improvement_over_parent": null + }, + "node_2305": { + "node_id": "node_2305", + "content": "INITIAL DESIGN (Trace 326)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n Mass: 136.87 kg\n Factor of Safety: 0.19\n Max Deflection: 2.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.8685509034452, + "fos_buckling": 0.19225113112463307, + "fos_yielding": 2.784746623707995, + "deflection": 0.026352409304555586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2306": { + "node_id": "node_2306", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 162.33 kg\n Factor of Safety: 0.22\n Max Deflection: 2.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.32610883350162, + "fos_buckling": 0.22467819530379185, + "fos_yielding": 3.301003859664449, + "deflection": 0.02228778073033006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2305", + "improvement_over_parent": null + }, + "node_2307": { + "node_id": "node_2307", + "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 162.49 kg\n Factor of Safety: 0.29\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.49418010200037, + "fos_buckling": 0.29399396139484124, + "fos_yielding": 4.498042986308617, + "deflection": 0.022197631519184836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.475)" + }, + "parent_node_id": "node_2306", + "improvement_over_parent": null + }, + "node_2308": { + "node_id": "node_2308", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 176.95 kg\n Factor of Safety: 0.74\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.95077265450448, + "fos_buckling": 0.7443762554836809, + "fos_yielding": 5.320637657030737, + "deflection": 0.019493400967008374, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005127)" + }, + "parent_node_id": "node_2307", + "improvement_over_parent": null + }, + "node_2309": { + "node_id": "node_2309", + "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 181.16 kg\n Factor of Safety: 0.74\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.15853267406965, + "fos_buckling": 0.7439192610844173, + "fos_yielding": 5.317371161636971, + "deflection": 0.018860324846359435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.280)" + }, + "parent_node_id": "node_2308", + "improvement_over_parent": null + }, + "node_2310": { + "node_id": "node_2310", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 196.12 kg\n Factor of Safety: 1.25\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.11891167507994, + "fos_buckling": 1.246784359979496, + "fos_yielding": 6.012685236431095, + "deflection": 0.014692554117200763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005419)" + }, + "parent_node_id": "node_2309", + "improvement_over_parent": null + }, + "node_2311": { + "node_id": "node_2311", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.57625067983378, + "fos_buckling": 1.5350117395117318, + "fos_yielding": 7.7485544747667205, + "deflection": 0.011482033697586623, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_2310", + "improvement_over_parent": null + }, + "node_2312": { + "node_id": "node_2312", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2311", + "improvement_over_parent": null + }, + "node_2313": { + "node_id": "node_2313", + "content": "INITIAL DESIGN (Trace 327)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2314": { + "node_id": "node_2314", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n\nPerformance:\n Mass: 136.12 kg\n Factor of Safety: 0.29\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.120615132241, + "fos_buckling": 0.2916832496258408, + "fos_yielding": 3.2311037980438133, + "deflection": 0.027228240068123997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003932)" + }, + "parent_node_id": "node_2313", + "improvement_over_parent": null + }, + "node_2315": { + "node_id": "node_2315", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n\nPerformance:\n Mass: 175.53 kg\n Factor of Safety: 0.36\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.52920248544098, + "fos_buckling": 0.3632323780570101, + "fos_yielding": 4.173944309357969, + "deflection": 0.021168009977480414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2314", + "improvement_over_parent": null + }, + "node_2316": { + "node_id": "node_2316", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 192.36 kg\n Factor of Safety: 0.36\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.36291866234092, + "fos_buckling": 0.3626276152782989, + "fos_yielding": 4.514861348091887, + "deflection": 0.016358476058862207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006154)" + }, + "parent_node_id": "node_2315", + "improvement_over_parent": null + }, + "node_2317": { + "node_id": "node_2317", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 220.34 kg\n Factor of Safety: 0.41\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.3361555781704, + "fos_buckling": 0.405745373020695, + "fos_yielding": 5.172098324378669, + "deflection": 0.014315670790079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_2316", + "improvement_over_parent": null + }, + "node_2318": { + "node_id": "node_2318", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 239.18 kg\n Factor of Safety: 1.16\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.1842035934826, + "fos_buckling": 1.1623028648273475, + "fos_yielding": 7.361345701693591, + "deflection": 0.012398037987763946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2317", + "improvement_over_parent": null + }, + "node_2319": { + "node_id": "node_2319", + "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0083)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 243.30 kg\n Factor of Safety: 1.16\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.2954415969861, + "fos_buckling": 1.1622061034175462, + "fos_yielding": 7.377850539656011, + "deflection": 0.012326253375012461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.261)" + }, + "parent_node_id": "node_2318", + "improvement_over_parent": null + }, + "node_2320": { + "node_id": "node_2320", + "content": "MODIFICATION: Increase 10 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0097)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0083)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 250.86 kg\n Factor of Safety: 1.16\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.8607133835406, + "fos_buckling": 1.1593015511475415, + "fos_yielding": 7.156731463282258, + "deflection": 0.012233318087524106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.527)" + }, + "parent_node_id": "node_2319", + "improvement_over_parent": null + }, + "node_2321": { + "node_id": "node_2321", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2320", + "improvement_over_parent": null + }, + "node_2322": { + "node_id": "node_2322", + "content": "INITIAL DESIGN (Trace 328)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 183.56 kg\n Factor of Safety: 0.73\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.56440824083776, + "fos_buckling": 0.7306288955765332, + "fos_yielding": 4.273196840045045, + "deflection": 0.01603453635413481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2323": { + "node_id": "node_2323", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n Mass: 196.54 kg\n Factor of Safety: 1.25\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.54051741586431, + "fos_buckling": 1.2490963161029762, + "fos_yielding": 6.024939548364248, + "deflection": 0.014662206392879898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004864)" + }, + "parent_node_id": "node_2322", + "improvement_over_parent": null + }, + "node_2324": { + "node_id": "node_2324", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n Mass: 225.69 kg\n Factor of Safety: 1.40\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.6926248978269, + "fos_buckling": 1.401669875944015, + "fos_yielding": 6.920899554117607, + "deflection": 0.012810881323695122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2323", + "improvement_over_parent": null + }, + "node_2325": { + "node_id": "node_2325", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3939833068121, + "fos_buckling": 1.5341860509153473, + "fos_yielding": 7.742061977980692, + "deflection": 0.011490439784653013, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_2324", + "improvement_over_parent": null + }, + "node_2326": { + "node_id": "node_2326", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2325", + "improvement_over_parent": null + }, + "node_2327": { + "node_id": "node_2327", + "content": "INITIAL DESIGN (Trace 329)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 213.76 kg\n Factor of Safety: 0.85\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.75923011223367, + "fos_buckling": 0.845672522101519, + "fos_yielding": 6.817340035561261, + "deflection": 0.020708158056843284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2328": { + "node_id": "node_2328", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 237.05 kg\n Factor of Safety: 0.84\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.0450697143309, + "fos_buckling": 0.8438066425882336, + "fos_yielding": 5.299377646352829, + "deflection": 0.019496420091376067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_2327", + "improvement_over_parent": null + }, + "node_2329": { + "node_id": "node_2329", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 251.77 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.76957732298848, + "fos_buckling": 1.497424670557146, + "fos_yielding": 7.427514775785085, + "deflection": 0.011521778295952745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2328", + "improvement_over_parent": null + }, + "node_2330": { + "node_id": "node_2330", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47389816990952, + "fos_buckling": 1.5345787237976125, + "fos_yielding": 7.744432235047082, + "deflection": 0.011486909647320997, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_2329", + "improvement_over_parent": null + }, + "node_2331": { + "node_id": "node_2331", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2330", + "improvement_over_parent": null + }, + "node_2332": { + "node_id": "node_2332", + "content": "INITIAL DESIGN (Trace 330)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n Mass: 220.32 kg\n Factor of Safety: 1.25\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.32162303143073, + "fos_buckling": 1.2479263235469227, + "fos_yielding": 6.70210210719823, + "deflection": 0.01340393061708707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2333": { + "node_id": "node_2333", + "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n Mass: 226.52 kg\n Factor of Safety: 1.38\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.52281954893337, + "fos_buckling": 1.3827643088171468, + "fos_yielding": 7.2162210946104475, + "deflection": 0.012758998253337208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.475)" + }, + "parent_node_id": "node_2332", + "improvement_over_parent": null + }, + "node_2334": { + "node_id": "node_2334", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.43 kg\n Factor of Safety: 1.49\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.42877179353485, + "fos_buckling": 1.494726933743513, + "fos_yielding": 7.945835898718885, + "deflection": 0.011617449149845702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_2333", + "improvement_over_parent": null + }, + "node_2335": { + "node_id": "node_2335", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.37 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.36980767988058, + "fos_buckling": 1.5342197776704245, + "fos_yielding": 7.74133370154204, + "deflection": 0.011491654645345177, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.198)" + }, + "parent_node_id": "node_2334", + "improvement_over_parent": null + }, + "node_2336": { + "node_id": "node_2336", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2335", + "improvement_over_parent": null + }, + "node_2337": { + "node_id": "node_2337", + "content": "INITIAL DESIGN (Trace 331)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 134.28 kg\n Factor of Safety: 0.47\n Max Deflection: 3.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.28029784739002, + "fos_buckling": 0.46899835432244813, + "fos_yielding": 0.9966984792129544, + "deflection": 0.032005116075015126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2338": { + "node_id": "node_2338", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 158.34 kg\n Factor of Safety: 0.55\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.33518269061642, + "fos_buckling": 0.5457472290266066, + "fos_yielding": 1.175826783033611, + "deflection": 0.027192608959214222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_2337", + "improvement_over_parent": null + }, + "node_2339": { + "node_id": "node_2339", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n Mass: 160.08 kg\n Factor of Safety: 0.62\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.0756333265264, + "fos_buckling": 0.618294579582322, + "fos_yielding": 2.600216960646059, + "deflection": 0.019304123562922004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002695)" + }, + "parent_node_id": "node_2338", + "improvement_over_parent": null + }, + "node_2340": { + "node_id": "node_2340", + "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n Mass: 160.61 kg\n Factor of Safety: 0.62\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.60832662317017, + "fos_buckling": 0.618294579582322, + "fos_yielding": 2.600216960646059, + "deflection": 0.019304123562922004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.522)" + }, + "parent_node_id": "node_2339", + "improvement_over_parent": null + }, + "node_2341": { + "node_id": "node_2341", + "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n\nPerformance:\n Mass: 163.07 kg\n Factor of Safety: 0.62\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.06940444398302, + "fos_buckling": 0.6180021574643391, + "fos_yielding": 2.597420684522529, + "deflection": 0.019308572844359103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.218)" + }, + "parent_node_id": "node_2340", + "improvement_over_parent": null + }, + "node_2342": { + "node_id": "node_2342", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0039)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 192.32 kg\n Factor of Safety: 0.71\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.31628001692965, + "fos_buckling": 0.7098505748892936, + "fos_yielding": 3.0553773843451424, + "deflection": 0.01642647282794571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_2341", + "improvement_over_parent": null + }, + "node_2343": { + "node_id": "node_2343", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0080)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 238.50 kg\n Factor of Safety: 0.84\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.49721933348846, + "fos_buckling": 0.8436158039951821, + "fos_yielding": 3.7749796501497204, + "deflection": 0.013314493844448765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2342", + "improvement_over_parent": null + }, + "node_2344": { + "node_id": "node_2344", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0050)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0080)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 253.22 kg\n Factor of Safety: 1.42\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.22172694214603, + "fos_buckling": 1.4243631870158482, + "fos_yielding": 7.5882277030927066, + "deflection": 0.011490771839114573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2343", + "improvement_over_parent": null + }, + "node_2345": { + "node_id": "node_2345", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2344", + "improvement_over_parent": null + }, + "node_2346": { + "node_id": "node_2346", + "content": "INITIAL DESIGN (Trace 332)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 159.19 kg\n Factor of Safety: 0.22\n Max Deflection: 1.88e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.19087087746428, + "fos_buckling": 0.2179291365827419, + "fos_yielding": 1.6949155087519892, + "deflection": 18753414341514.53, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2347": { + "node_id": "node_2347", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n Mass: 181.07 kg\n Factor of Safety: 0.15\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.07383904207512, + "fos_buckling": 0.145236203071566, + "fos_yielding": 2.259111350397967, + "deflection": 0.018725391551279166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007004)" + }, + "parent_node_id": "node_2346", + "improvement_over_parent": null + }, + "node_2348": { + "node_id": "node_2348", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n\nPerformance:\n Mass: 197.49 kg\n Factor of Safety: 0.40\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.49029668497005, + "fos_buckling": 0.39601649321149524, + "fos_yielding": 5.111299835817766, + "deflection": 0.015915286300941273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005838)" + }, + "parent_node_id": "node_2347", + "improvement_over_parent": null + }, + "node_2349": { + "node_id": "node_2349", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 213.70 kg\n Factor of Safety: 1.13\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.70454467284233, + "fos_buckling": 1.1285554108361466, + "fos_yielding": 7.30177628264775, + "deflection": 0.013572511179882351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005802)" + }, + "parent_node_id": "node_2348", + "improvement_over_parent": null + }, + "node_2350": { + "node_id": "node_2350", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 245.47 kg\n Factor of Safety: 1.28\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.4733407998056, + "fos_buckling": 1.2779125127054736, + "fos_yielding": 8.382957358623914, + "deflection": 0.0118571019316895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2349", + "improvement_over_parent": null + }, + "node_2351": { + "node_id": "node_2351", + "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.52993297687783, + "fos_buckling": 1.5347425091507603, + "fos_yielding": 7.747366188106198, + "deflection": 0.011484305698456649, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.634)" + }, + "parent_node_id": "node_2350", + "improvement_over_parent": null + }, + "node_2352": { + "node_id": "node_2352", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2351", + "improvement_over_parent": null + }, + "node_2353": { + "node_id": "node_2353", + "content": "INITIAL DESIGN (Trace 333)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2354": { + "node_id": "node_2354", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0033)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n\nPerformance:\n Mass: 147.30 kg\n Factor of Safety: 0.58\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.2974778091976, + "fos_buckling": 0.582281577297147, + "fos_yielding": 3.2165967381542484, + "deflection": 0.02124324917633891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004061)" + }, + "parent_node_id": "node_2353", + "improvement_over_parent": null + }, + "node_2355": { + "node_id": "node_2355", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 192.75 kg\n Factor of Safety: 0.73\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.75350773154426, + "fos_buckling": 0.730040937445906, + "fos_yielding": 4.173450051693274, + "deflection": 0.016321160375210073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2354", + "improvement_over_parent": null + }, + "node_2356": { + "node_id": "node_2356", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 231.45 kg\n Factor of Safety: 0.84\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.44772137470517, + "fos_buckling": 0.844491188375162, + "fos_yielding": 4.975144943541486, + "deflection": 0.01365438796031287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2355", + "improvement_over_parent": null + }, + "node_2357": { + "node_id": "node_2357", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 246.17 kg\n Factor of Safety: 1.51\n Max Deflection: 1.20e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 246.17222898336274, + "fos_buckling": 1.5111972028420682, + "fos_yielding": 7.24124024117208, + "deflection": 0.011992401444293352, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2356", + "improvement_over_parent": null + }, + "node_2358": { + "node_id": "node_2358", + "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.61 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.6121747874351, + "fos_buckling": 1.535362535150499, + "fos_yielding": 7.748836882733063, + "deflection": 0.01148067913082092, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.441)" + }, + "parent_node_id": "node_2357", + "improvement_over_parent": null + }, + "node_2359": { + "node_id": "node_2359", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2358", + "improvement_over_parent": null + }, + "node_2360": { + "node_id": "node_2360", + "content": "INITIAL DESIGN (Trace 334)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 234.35 kg\n Factor of Safety: 1.14\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.35357048849522, + "fos_buckling": 1.1356560587912825, + "fos_yielding": 7.0801471936042555, + "deflection": 0.012277162091872977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2361": { + "node_id": "node_2361", + "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 239.62 kg\n Factor of Safety: 1.20\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.6152282667347, + "fos_buckling": 1.1961707660185519, + "fos_yielding": 6.913778595017037, + "deflection": 0.012114621215430223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.506)" + }, + "parent_node_id": "node_2360", + "improvement_over_parent": null + }, + "node_2362": { + "node_id": "node_2362", + "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 240.10 kg\n Factor of Safety: 1.40\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.10239915407047, + "fos_buckling": 1.3968946924229866, + "fos_yielding": 6.9542234956955005, + "deflection": 0.012069826324513184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.464)" + }, + "parent_node_id": "node_2361", + "improvement_over_parent": null + }, + "node_2363": { + "node_id": "node_2363", + "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 242.57 kg\n Factor of Safety: 1.40\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.56546971815126, + "fos_buckling": 1.396163316903791, + "fos_yielding": 6.8893333570895345, + "deflection": 0.012009240367454974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.209)" + }, + "parent_node_id": "node_2362", + "improvement_over_parent": null + }, + "node_2364": { + "node_id": "node_2364", + "content": "MODIFICATION: Increase 10 thickness by 67%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.38 kg\n Factor of Safety: 1.48\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.38169012607588, + "fos_buckling": 1.4766199433475704, + "fos_yielding": 6.320618072828993, + "deflection": 0.011591923945495644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.667)" + }, + "parent_node_id": "node_2363", + "improvement_over_parent": null + }, + "node_2365": { + "node_id": "node_2365", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.09 kg\n Factor of Safety: 1.52\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.08601097299692, + "fos_buckling": 1.521912398665442, + "fos_yielding": 6.611712160832605, + "deflection": 0.011551142556723296, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_2364", + "improvement_over_parent": null + }, + "node_2366": { + "node_id": "node_2366", + "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49140245396444, + "fos_buckling": 1.5348059182566667, + "fos_yielding": 7.742839949231319, + "deflection": 0.011486291630043978, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.208)" + }, + "parent_node_id": "node_2365", + "improvement_over_parent": null + }, + "node_2367": { + "node_id": "node_2367", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2366", + "improvement_over_parent": null + }, + "node_2368": { + "node_id": "node_2368", + "content": "INITIAL DESIGN (Trace 335)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 123.34 kg\n Factor of Safety: 0.54\n Max Deflection: 3.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.33776523737167, + "fos_buckling": 0.5427789266861609, + "fos_yielding": 1.5540361718290938, + "deflection": 0.030340626277128472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2369": { + "node_id": "node_2369", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n\nPerformance:\n Mass: 133.77 kg\n Factor of Safety: 0.58\n Max Deflection: 2.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.7736814251662, + "fos_buckling": 0.5786902196322737, + "fos_yielding": 3.3312941304058663, + "deflection": 0.026911640422936887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003721)" + }, + "parent_node_id": "node_2368", + "improvement_over_parent": null + }, + "node_2370": { + "node_id": "node_2370", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n\nPerformance:\n Mass: 171.98 kg\n Factor of Safety: 0.73\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.97500509138914, + "fos_buckling": 0.7258264513020725, + "fos_yielding": 4.312381456328107, + "deflection": 0.02100572052424941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2369", + "improvement_over_parent": null + }, + "node_2371": { + "node_id": "node_2371", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n\nPerformance:\n Mass: 191.91 kg\n Factor of Safety: 0.80\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.90769632804452, + "fos_buckling": 0.7960902789447354, + "fos_yielding": 4.829732398688176, + "deflection": 0.018857713244929797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_2370", + "improvement_over_parent": null + }, + "node_2372": { + "node_id": "node_2372", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 227.94 kg\n Factor of Safety: 0.92\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.94328433175414, + "fos_buckling": 0.9159800638454655, + "fos_yielding": 5.774664636157816, + "deflection": 0.01592804088788742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_2371", + "improvement_over_parent": null + }, + "node_2373": { + "node_id": "node_2373", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 230.49 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.4892764928163, + "fos_buckling": 0.9155285820064746, + "fos_yielding": 6.80636308848061, + "deflection": 0.0148068611739522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2372", + "improvement_over_parent": null + }, + "node_2374": { + "node_id": "node_2374", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 249.76 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 249.7555173137236, + "fos_buckling": 1.5211496332554209, + "fos_yielding": 7.870693919132515, + "deflection": 0.01154544353454494, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_2373", + "improvement_over_parent": null + }, + "node_2375": { + "node_id": "node_2375", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0081)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 253.01 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.005066149642, + "fos_buckling": 1.5277418334800625, + "fos_yielding": 7.855991462987088, + "deflection": 0.011478728786074288, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.196)" + }, + "parent_node_id": "node_2374", + "improvement_over_parent": null + }, + "node_2376": { + "node_id": "node_2376", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2375", + "improvement_over_parent": null + }, + "node_2377": { + "node_id": "node_2377", + "content": "INITIAL DESIGN (Trace 336)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2378": { + "node_id": "node_2378", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n\nPerformance:\n Mass: 159.62 kg\n Factor of Safety: 0.32\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.6245292754301, + "fos_buckling": 0.32367277965438607, + "fos_yielding": 4.3978126602581415, + "deflection": 0.02243814407912843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005476)" + }, + "parent_node_id": "node_2377", + "improvement_over_parent": null + }, + "node_2379": { + "node_id": "node_2379", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 173.47 kg\n Factor of Safety: 0.72\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.4718301720052, + "fos_buckling": 0.7169773334702253, + "fos_yielding": 5.095676683343086, + "deflection": 0.01967939389141354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004896)" + }, + "parent_node_id": "node_2378", + "improvement_over_parent": null + }, + "node_2380": { + "node_id": "node_2380", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n\nPerformance:\n Mass: 187.80 kg\n Factor of Safety: 1.20\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.80208434342316, + "fos_buckling": 1.2017464585997522, + "fos_yielding": 5.756386569251088, + "deflection": 0.015329159245748446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005175)" + }, + "parent_node_id": "node_2379", + "improvement_over_parent": null + }, + "node_2381": { + "node_id": "node_2381", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 207.85 kg\n Factor of Safety: 1.31\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.8491679085376, + "fos_buckling": 1.3092652436060206, + "fos_yielding": 6.372316090247095, + "deflection": 0.013882433515323145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2380", + "improvement_over_parent": null + }, + "node_2382": { + "node_id": "node_2382", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.51744637575345, + "fos_buckling": 1.534783477101761, + "fos_yielding": 7.745726335711462, + "deflection": 0.011485018372544665, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_2381", + "improvement_over_parent": null + }, + "node_2383": { + "node_id": "node_2383", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2382", + "improvement_over_parent": null + }, + "node_2384": { + "node_id": "node_2384", + "content": "INITIAL DESIGN (Trace 337)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 239.59 kg\n Factor of Safety: 1.29\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.5863931060692, + "fos_buckling": 1.2916862348264588, + "fos_yielding": 5.441823742860306, + "deflection": 0.012468977164253622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2385": { + "node_id": "node_2385", + "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 243.59 kg\n Factor of Safety: 1.29\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.5897038911278, + "fos_buckling": 1.2871532411481579, + "fos_yielding": 5.422726417240724, + "deflection": 0.012341107749791575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.385)" + }, + "parent_node_id": "node_2384", + "improvement_over_parent": null + }, + "node_2386": { + "node_id": "node_2386", + "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 244.23 kg\n Factor of Safety: 1.45\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.22944729039273, + "fos_buckling": 1.4543801741507767, + "fos_yielding": 7.0563599966650346, + "deflection": 0.012204267069908558, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.368)" + }, + "parent_node_id": "node_2385", + "improvement_over_parent": null + }, + "node_2387": { + "node_id": "node_2387", + "content": "MODIFICATION: Increase 0 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47958579743784, + "fos_buckling": 1.5346517192160931, + "fos_yielding": 7.748122669812068, + "deflection": 0.011486741058498763, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.637)" + }, + "parent_node_id": "node_2386", + "improvement_over_parent": null + }, + "node_2388": { + "node_id": "node_2388", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2387", + "improvement_over_parent": null + }, + "node_2389": { + "node_id": "node_2389", + "content": "INITIAL DESIGN (Trace 338)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 184.05 kg\n Factor of Safety: 0.78\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.05200573187003, + "fos_buckling": 0.7756555476155333, + "fos_yielding": 5.58198170232346, + "deflection": 0.01809539300935753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2390": { + "node_id": "node_2390", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 225.68 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.6791665281207, + "fos_buckling": 0.9163792809378554, + "fos_yielding": 6.81382132123793, + "deflection": 0.014830419492571988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2389", + "improvement_over_parent": null + }, + "node_2391": { + "node_id": "node_2391", + "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 229.20 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.19660210955058, + "fos_buckling": 0.9162232756396498, + "fos_yielding": 6.812661329682847, + "deflection": 0.014731900348961014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.256)" + }, + "parent_node_id": "node_2390", + "improvement_over_parent": null + }, + "node_2392": { + "node_id": "node_2392", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.48244171164782, + "fos_buckling": 1.5346726032511417, + "fos_yielding": 7.745386933289034, + "deflection": 0.011486235707862443, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_2391", + "improvement_over_parent": null + }, + "node_2393": { + "node_id": "node_2393", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2392", + "improvement_over_parent": null + }, + "node_2394": { + "node_id": "node_2394", + "content": "INITIAL DESIGN (Trace 339)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 154.80 kg\n Factor of Safety: 0.91\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.8026395558607, + "fos_buckling": 0.9085591427751265, + "fos_yielding": 4.075810712165261, + "deflection": 0.01851942563561539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2395": { + "node_id": "node_2395", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 155.04 kg\n Factor of Safety: 0.92\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.0418136204102, + "fos_buckling": 0.9234359987831376, + "fos_yielding": 4.079088170888173, + "deflection": 0.01847363039394849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.321)" + }, + "parent_node_id": "node_2394", + "improvement_over_parent": null + }, + "node_2396": { + "node_id": "node_2396", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 189.56 kg\n Factor of Safety: 1.10\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.56015031182204, + "fos_buckling": 1.1032635732574736, + "fos_yielding": 4.998991040268143, + "deflection": 0.015169521784991851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2395", + "improvement_over_parent": null + }, + "node_2397": { + "node_id": "node_2397", + "content": "MODIFICATION: Increase 15 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 192.63 kg\n Factor of Safety: 1.21\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.63418224174677, + "fos_buckling": 1.2064211981437816, + "fos_yielding": 4.982607017872792, + "deflection": 0.015020528242799725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.295)" + }, + "parent_node_id": "node_2396", + "improvement_over_parent": null + }, + "node_2398": { + "node_id": "node_2398", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 226.70 kg\n Factor of Safety: 1.40\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.6974615998276, + "fos_buckling": 1.395984010037531, + "fos_yielding": 5.878913029406782, + "deflection": 0.012812035723513002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2397", + "improvement_over_parent": null + }, + "node_2399": { + "node_id": "node_2399", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.28 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.27914318269387, + "fos_buckling": 1.5219826181775584, + "fos_yielding": 6.555590094539329, + "deflection": 0.011545555861954238, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2398", + "improvement_over_parent": null + }, + "node_2400": { + "node_id": "node_2400", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.71 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.70763284682693, + "fos_buckling": 1.5357232052940417, + "fos_yielding": 7.751344904104453, + "deflection": 0.01147649100291134, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.222)" + }, + "parent_node_id": "node_2399", + "improvement_over_parent": null + }, + "node_2401": { + "node_id": "node_2401", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2400", + "improvement_over_parent": null + }, + "node_2402": { + "node_id": "node_2402", + "content": "INITIAL DESIGN (Trace 340)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0043)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 125.94 kg\n Factor of Safety: 0.27\n Max Deflection: 4.28e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.94030582837377, + "fos_buckling": 0.26775684034111735, + "fos_yielding": 1.057590738856322, + "deflection": 0.04284257161270788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2403": { + "node_id": "node_2403", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 155.84 kg\n Factor of Safety: 0.32\n Max Deflection: 3.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.83597823242778, + "fos_buckling": 0.32309762980002077, + "fos_yielding": 1.3032251459110888, + "deflection": 0.03475480152231941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2402", + "improvement_over_parent": null + }, + "node_2404": { + "node_id": "node_2404", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 156.07 kg\n Factor of Safety: 0.32\n Max Deflection: 3.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.06575161192242, + "fos_buckling": 0.3230976298000209, + "fos_yielding": 1.3032251459110904, + "deflection": 0.03468697196678254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.198)" + }, + "parent_node_id": "node_2403", + "improvement_over_parent": null + }, + "node_2405": { + "node_id": "node_2405", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0026)]\n\nPerformance:\n Mass: 164.51 kg\n Factor of Safety: 0.70\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.510160239855, + "fos_buckling": 0.6985766723974179, + "fos_yielding": 4.12949281544202, + "deflection": 0.01891025247015469, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.002577)" + }, + "parent_node_id": "node_2404", + "improvement_over_parent": null + }, + "node_2406": { + "node_id": "node_2406", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0057)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0026)]\n\nPerformance:\n Mass: 167.91 kg\n Factor of Safety: 0.70\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.91256777877848, + "fos_buckling": 0.7001978783631239, + "fos_yielding": 4.139076242218581, + "deflection": 0.018772839383045796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.366)" + }, + "parent_node_id": "node_2405", + "improvement_over_parent": null + }, + "node_2407": { + "node_id": "node_2407", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0075)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n\nPerformance:\n Mass: 217.91 kg\n Factor of Safety: 0.89\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.91037231492686, + "fos_buckling": 0.8943619960433747, + "fos_yielding": 5.377498254786951, + "deflection": 0.014517076744928614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2406", + "improvement_over_parent": null + }, + "node_2408": { + "node_id": "node_2408", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0116)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0034)]\n\nPerformance:\n Mass: 225.71 kg\n Factor of Safety: 0.90\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.7060989826341, + "fos_buckling": 0.8961506793442039, + "fos_yielding": 5.388253006633661, + "deflection": 0.014412411224337188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.541)" + }, + "parent_node_id": "node_2407", + "improvement_over_parent": null + }, + "node_2409": { + "node_id": "node_2409", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0131)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0039)]\n\nPerformance:\n Mass: 253.31 kg\n Factor of Safety: 1.00\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.30815692315124, + "fos_buckling": 0.9982615837067403, + "fos_yielding": 6.059275216772997, + "deflection": 0.012852096059688038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_2408", + "improvement_over_parent": null + }, + "node_2410": { + "node_id": "node_2410", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2409", + "improvement_over_parent": null + }, + "node_2411": { + "node_id": "node_2411", + "content": "INITIAL DESIGN (Trace 341)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0035)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 149.86 kg\n Factor of Safety: 0.63\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.86055779413934, + "fos_buckling": 0.633856969570189, + "fos_yielding": 3.526052221634317, + "deflection": 0.019955024815630405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2412": { + "node_id": "node_2412", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 166.60 kg\n Factor of Safety: 0.70\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.60269120147692, + "fos_buckling": 0.6955912028130904, + "fos_yielding": 3.92166009703412, + "deflection": 0.017977482651129403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2411", + "improvement_over_parent": null + }, + "node_2413": { + "node_id": "node_2413", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 188.75 kg\n Factor of Safety: 0.77\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.74962221716328, + "fos_buckling": 0.774462311434544, + "fos_yielding": 4.446074974800674, + "deflection": 0.015900395379637097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_2412", + "improvement_over_parent": null + }, + "node_2414": { + "node_id": "node_2414", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 227.02 kg\n Factor of Safety: 0.90\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.01512323662763, + "fos_buckling": 0.9032535320965862, + "fos_yielding": 5.355870228964418, + "deflection": 0.013266353210008306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2413", + "improvement_over_parent": null + }, + "node_2415": { + "node_id": "node_2415", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 235.20 kg\n Factor of Safety: 0.90\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.1969523331935, + "fos_buckling": 0.9025234101122812, + "fos_yielding": 5.478871088153364, + "deflection": 0.01265310650969773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.473)" + }, + "parent_node_id": "node_2414", + "improvement_over_parent": null + }, + "node_2416": { + "node_id": "node_2416", + "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 235.99 kg\n Factor of Safety: 0.90\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.99233683725328, + "fos_buckling": 0.9025234101122802, + "fos_yielding": 5.47887108815336, + "deflection": 0.012539706407911563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.653)" + }, + "parent_node_id": "node_2415", + "improvement_over_parent": null + }, + "node_2417": { + "node_id": "node_2417", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.66 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.66262064351037, + "fos_buckling": 1.5354277533931737, + "fos_yielding": 7.751036944149854, + "deflection": 0.01147828333392754, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2416", + "improvement_over_parent": null + }, + "node_2418": { + "node_id": "node_2418", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2417", + "improvement_over_parent": null + }, + "node_2419": { + "node_id": "node_2419", + "content": "INITIAL DESIGN (Trace 342)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 231.45 kg\n Factor of Safety: 1.20\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.44886224958904, + "fos_buckling": 1.2013243239975826, + "fos_yielding": 7.41404839018423, + "deflection": 0.012548213525395986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2420": { + "node_id": "node_2420", + "content": "MODIFICATION: Increase 12 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 237.42 kg\n Factor of Safety: 1.20\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.42423716545366, + "fos_buckling": 1.1976484457613654, + "fos_yielding": 7.107627051714792, + "deflection": 0.012414487320163169, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.613)" + }, + "parent_node_id": "node_2419", + "improvement_over_parent": null + }, + "node_2421": { + "node_id": "node_2421", + "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.68 kg\n Factor of Safety: 1.46\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.67857013293147, + "fos_buckling": 1.4622065827393267, + "fos_yielding": 7.794701808867186, + "deflection": 0.011699766281189572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.567)" + }, + "parent_node_id": "node_2420", + "improvement_over_parent": null + }, + "node_2422": { + "node_id": "node_2422", + "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47126133283814, + "fos_buckling": 1.5349993463255838, + "fos_yielding": 7.745607069620631, + "deflection": 0.011486537538235055, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.661)" + }, + "parent_node_id": "node_2421", + "improvement_over_parent": null + }, + "node_2423": { + "node_id": "node_2423", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2422", + "improvement_over_parent": null + }, + "node_2424": { + "node_id": "node_2424", + "content": "INITIAL DESIGN (Trace 343)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 221.62 kg\n Factor of Safety: 0.44\n Max Deflection: 2.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.62468399998983, + "fos_buckling": 0.44282756576138477, + "fos_yielding": 1.365951198911017, + "deflection": 0.026870927261604872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2425": { + "node_id": "node_2425", + "content": "MODIFICATION: Increase 11 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 227.13 kg\n Factor of Safety: 0.44\n Max Deflection: 2.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.13051112336248, + "fos_buckling": 0.44247305278015, + "fos_yielding": 1.3651928087073266, + "deflection": 0.025104158358380927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.541)" + }, + "parent_node_id": "node_2424", + "improvement_over_parent": null + }, + "node_2426": { + "node_id": "node_2426", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.25 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.25265277520933, + "fos_buckling": 1.5343012313114497, + "fos_yielding": 7.714355019649141, + "deflection": 0.011489902955585114, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2425", + "improvement_over_parent": null + }, + "node_2427": { + "node_id": "node_2427", + "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.95 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.9512592358389, + "fos_buckling": 1.5343853142441386, + "fos_yielding": 7.722800386121968, + "deflection": 0.01146336394612703, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.493)" + }, + "parent_node_id": "node_2426", + "improvement_over_parent": null + }, + "node_2428": { + "node_id": "node_2428", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2427", + "improvement_over_parent": null + }, + "node_2429": { + "node_id": "node_2429", + "content": "INITIAL DESIGN (Trace 344)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 193.27 kg\n Factor of Safety: 0.04\n Max Deflection: 8.03e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.27348072378277, + "fos_buckling": 0.03573607056149891, + "fos_yielding": 0.05296610964849966, + "deflection": 803035632259722.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2430": { + "node_id": "node_2430", + "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 193.67 kg\n Factor of Safety: 0.04\n Max Deflection: 8.03e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.6726866134748, + "fos_buckling": 0.03573607056149891, + "fos_yielding": 0.05296610964849966, + "deflection": 803035632259722.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.353)" + }, + "parent_node_id": "node_2429", + "improvement_over_parent": null + }, + "node_2431": { + "node_id": "node_2431", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 210.34 kg\n Factor of Safety: 0.41\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.3429704197319, + "fos_buckling": 0.40613108041388213, + "fos_yielding": 6.464165915508938, + "deflection": 0.01641833823171858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2430", + "improvement_over_parent": null + }, + "node_2432": { + "node_id": "node_2432", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 233.63 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.62881002182914, + "fos_buckling": 0.4051972035440668, + "fos_yielding": 5.374937087411102, + "deflection": 0.013391249795413663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_2431", + "improvement_over_parent": null + }, + "node_2433": { + "node_id": "node_2433", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n Mass: 248.26 kg\n Factor of Safety: 1.37\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.25825070848478, + "fos_buckling": 1.3711087625056222, + "fos_yielding": 7.5151735917485905, + "deflection": 0.011614331964961899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005156)" + }, + "parent_node_id": "node_2432", + "improvement_over_parent": null + }, + "node_2434": { + "node_id": "node_2434", + "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0084)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n Mass: 252.90 kg\n Factor of Safety: 1.45\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.89578494520055, + "fos_buckling": 1.452316499186247, + "fos_yielding": 7.35512915697779, + "deflection": 0.01153377493293245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.316)" + }, + "parent_node_id": "node_2433", + "improvement_over_parent": null + }, + "node_2435": { + "node_id": "node_2435", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2434", + "improvement_over_parent": null + }, + "node_2436": { + "node_id": "node_2436", + "content": "INITIAL DESIGN (Trace 345)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 188.46 kg\n Factor of Safety: 0.31\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.45568396151594, + "fos_buckling": 0.3080171759291633, + "fos_yielding": 4.387578105289936, + "deflection": 0.01651033494192446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2437": { + "node_id": "node_2437", + "content": "MODIFICATION: Increase 14 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 193.79 kg\n Factor of Safety: 0.35\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.78530832183728, + "fos_buckling": 0.3533698558661568, + "fos_yielding": 4.388217802048959, + "deflection": 0.016208048573245905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.550)" + }, + "parent_node_id": "node_2436", + "improvement_over_parent": null + }, + "node_2438": { + "node_id": "node_2438", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 228.43 kg\n Factor of Safety: 0.41\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.43314926207051, + "fos_buckling": 0.4051901475555303, + "fos_yielding": 5.175468944955034, + "deflection": 0.013792820485934556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2437", + "improvement_over_parent": null + }, + "node_2439": { + "node_id": "node_2439", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.48 kg\n Factor of Safety: 0.40\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.48289029903788, + "fos_buckling": 0.4049880968221417, + "fos_yielding": 5.371656344713393, + "deflection": 0.013399383778099589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.319)" + }, + "parent_node_id": "node_2438", + "improvement_over_parent": null + }, + "node_2440": { + "node_id": "node_2440", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.33 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.33093831435008, + "fos_buckling": 1.534190022183039, + "fos_yielding": 7.73994036346148, + "deflection": 0.011493566849013283, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2439", + "improvement_over_parent": null + }, + "node_2441": { + "node_id": "node_2441", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2440", + "improvement_over_parent": null + }, + "node_2442": { + "node_id": "node_2442", + "content": "INITIAL DESIGN (Trace 346)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0023)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 148.85 kg\n Factor of Safety: 0.59\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.85373935440853, + "fos_buckling": 0.5935136142301565, + "fos_yielding": 3.32233000602509, + "deflection": 0.01997674620865509, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2443": { + "node_id": "node_2443", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 183.26 kg\n Factor of Safety: 0.71\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.25984959320033, + "fos_buckling": 0.7073333387102149, + "fos_yielding": 4.0679225349814745, + "deflection": 0.016300692519535424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2442", + "improvement_over_parent": null + }, + "node_2444": { + "node_id": "node_2444", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n Mass: 197.52 kg\n Factor of Safety: 0.98\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.52196991681583, + "fos_buckling": 0.9779386951818053, + "fos_yielding": 6.1618953802252525, + "deflection": 0.01450241801203313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005186)" + }, + "parent_node_id": "node_2443", + "improvement_over_parent": null + }, + "node_2445": { + "node_id": "node_2445", + "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n Mass: 200.42 kg\n Factor of Safety: 1.22\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.42437773159745, + "fos_buckling": 1.2193590619276204, + "fos_yielding": 6.189742098582156, + "deflection": 0.01432915141562017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.439)" + }, + "parent_node_id": "node_2444", + "improvement_over_parent": null + }, + "node_2446": { + "node_id": "node_2446", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n Mass: 202.32 kg\n Factor of Safety: 1.28\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.31513802278462, + "fos_buckling": 1.2799361998585557, + "fos_yielding": 6.202167109181367, + "deflection": 0.014253384771849353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.205)" + }, + "parent_node_id": "node_2445", + "improvement_over_parent": null + }, + "node_2447": { + "node_id": "node_2447", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.43835185569264, + "fos_buckling": 1.5343554926095329, + "fos_yielding": 7.743180432355618, + "deflection": 0.011488692944470755, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2446", + "improvement_over_parent": null + }, + "node_2448": { + "node_id": "node_2448", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2447", + "improvement_over_parent": null + }, + "node_2449": { + "node_id": "node_2449", + "content": "INITIAL DESIGN (Trace 347)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 140.73 kg\n Factor of Safety: 0.64\n Max Deflection: 1.71e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.7275822784708, + "fos_buckling": 0.6417841094134693, + "fos_yielding": 3.389831017503978, + "deflection": 17137125866194.594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2450": { + "node_id": "node_2450", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 167.01 kg\n Factor of Safety: 0.24\n Max Deflection: 3.41e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.01368273055266, + "fos_buckling": 0.2423320525630661, + "fos_yielding": 2.635645408909019, + "deflection": 34121426765788.586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2449", + "improvement_over_parent": null + }, + "node_2451": { + "node_id": "node_2451", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 188.97 kg\n Factor of Safety: 0.63\n Max Deflection: 1.97e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.96504106148996, + "fos_buckling": 0.6287551023660146, + "fos_yielding": 1.6949155087519892, + "deflection": 19743127979800.258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_2450", + "improvement_over_parent": null + }, + "node_2452": { + "node_id": "node_2452", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 214.09 kg\n Factor of Safety: 0.85\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.0871827133368, + "fos_buckling": 0.8484064992553335, + "fos_yielding": 1.7714139917510334, + "deflection": 0.015301870184014046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2451", + "improvement_over_parent": null + }, + "node_2453": { + "node_id": "node_2453", + "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 214.79 kg\n Factor of Safety: 0.85\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.78863576925232, + "fos_buckling": 0.8484064992553334, + "fos_yielding": 1.7714139917510334, + "deflection": 0.015301870184014042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.495)" + }, + "parent_node_id": "node_2452", + "improvement_over_parent": null + }, + "node_2454": { + "node_id": "node_2454", + "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0099)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 222.25 kg\n Factor of Safety: 0.85\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.2472004640161, + "fos_buckling": 0.846602209435462, + "fos_yielding": 1.767598645225137, + "deflection": 0.014882459603351363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.456)" + }, + "parent_node_id": "node_2453", + "improvement_over_parent": null + }, + "node_2455": { + "node_id": "node_2455", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0099)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 236.97 kg\n Factor of Safety: 1.17\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.97170807267366, + "fos_buckling": 1.1699190601158933, + "fos_yielding": 4.034084291041061, + "deflection": 0.012490941084449727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2454", + "improvement_over_parent": null + }, + "node_2456": { + "node_id": "node_2456", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0049)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0099)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 253.64 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.64199187893075, + "fos_buckling": 1.4424078101136537, + "fos_yielding": 8.521981653732418, + "deflection": 0.011631599727748847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2455", + "improvement_over_parent": null + }, + "node_2457": { + "node_id": "node_2457", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2456", + "improvement_over_parent": null + }, + "node_2458": { + "node_id": "node_2458", + "content": "INITIAL DESIGN (Trace 348)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0028)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 156.89 kg\n Factor of Safety: 0.85\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.88581758105116, + "fos_buckling": 0.8462500722332205, + "fos_yielding": 4.6995937989421135, + "deflection": 0.018177242736983883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2459": { + "node_id": "node_2459", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 202.43 kg\n Factor of Safety: 1.07\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.4265493852411, + "fos_buckling": 1.0722734219247967, + "fos_yielding": 6.070144249904375, + "deflection": 0.014159573683807096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2458", + "improvement_over_parent": null + }, + "node_2460": { + "node_id": "node_2460", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.56 kg\n Factor of Safety: 1.28\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.56320605470103, + "fos_buckling": 1.2827005315416005, + "fos_yielding": 7.401356824923946, + "deflection": 0.011682072713884162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2459", + "improvement_over_parent": null + }, + "node_2461": { + "node_id": "node_2461", + "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.45836707317324, + "fos_buckling": 1.5344636769839917, + "fos_yielding": 7.7441373568617715, + "deflection": 0.011487735695998057, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.499)" + }, + "parent_node_id": "node_2460", + "improvement_over_parent": null + }, + "node_2462": { + "node_id": "node_2462", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2461", + "improvement_over_parent": null + }, + "node_2463": { + "node_id": "node_2463", + "content": "INITIAL DESIGN (Trace 349)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n\nPerformance:\n Mass: 126.89 kg\n Factor of Safety: 0.68\n Max Deflection: 4.95e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.89132938015358, + "fos_buckling": 0.6789741600031035, + "fos_yielding": 1.6949155087519892, + "deflection": 49474417682332.87, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2464": { + "node_id": "node_2464", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 139.90 kg\n Factor of Safety: 0.11\n Max Deflection: 5.69e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.89604263289462, + "fos_buckling": 0.11227597082176656, + "fos_yielding": 1.6949155087519892, + "deflection": 56859738859989.34, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004579)" + }, + "parent_node_id": "node_2463", + "improvement_over_parent": null + }, + "node_2465": { + "node_id": "node_2465", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n\nPerformance:\n Mass: 157.45 kg\n Factor of Safety: 0.30\n Max Deflection: 4.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.44552149006702, + "fos_buckling": 0.29899172966009413, + "fos_yielding": 3.2327032935882984, + "deflection": 0.041884446639201545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005527)" + }, + "parent_node_id": "node_2464", + "improvement_over_parent": null + }, + "node_2466": { + "node_id": "node_2466", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n Mass: 200.21 kg\n Factor of Safety: 0.37\n Max Deflection: 3.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.21272310884132, + "fos_buckling": 0.36759730056109424, + "fos_yielding": 4.104305358415168, + "deflection": 0.032986599743458675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2465", + "improvement_over_parent": null + }, + "node_2467": { + "node_id": "node_2467", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n Mass: 216.94 kg\n Factor of Safety: 0.73\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.93744691478054, + "fos_buckling": 0.7309866958110522, + "fos_yielding": 4.012188211360984, + "deflection": 0.017696558398261075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005957)" + }, + "parent_node_id": "node_2466", + "improvement_over_parent": null + }, + "node_2468": { + "node_id": "node_2468", + "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n Mass: 221.93 kg\n Factor of Safety: 0.73\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.93357904716783, + "fos_buckling": 0.7265721673198487, + "fos_yielding": 3.972635942786444, + "deflection": 0.017695839216528057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.447)" + }, + "parent_node_id": "node_2467", + "improvement_over_parent": null + }, + "node_2469": { + "node_id": "node_2469", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 250.01 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.00762448407892, + "fos_buckling": 0.8022933591471525, + "fos_yielding": 4.474292729589815, + "deflection": 0.015743745669867738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_2468", + "improvement_over_parent": null + }, + "node_2470": { + "node_id": "node_2470", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55361664514106, + "fos_buckling": 1.5349775046343614, + "fos_yielding": 7.7437393256476215, + "deflection": 0.011483234042293892, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2469", + "improvement_over_parent": null + }, + "node_2471": { + "node_id": "node_2471", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2470", + "improvement_over_parent": null + }, + "node_2472": { + "node_id": "node_2472", + "content": "INITIAL DESIGN (Trace 350)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 167.45 kg\n Factor of Safety: 0.38\n Max Deflection: 2.62e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.44711799300273, + "fos_buckling": 0.3849083257503549, + "fos_yielding": 1.6949155087519892, + "deflection": 26160587118805.613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2473": { + "node_id": "node_2473", + "content": "MODIFICATION: Increase 7 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 167.65 kg\n Factor of Safety: 0.38\n Max Deflection: 1.92e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.64714477897124, + "fos_buckling": 0.3849083257503549, + "fos_yielding": 1.6949155087519892, + "deflection": 19227582476228.367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.647)" + }, + "parent_node_id": "node_2472", + "improvement_over_parent": null + }, + "node_2474": { + "node_id": "node_2474", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 186.50 kg\n Factor of Safety: 0.60\n Max Deflection: 1.82e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.49519279428344, + "fos_buckling": 0.6039597810179362, + "fos_yielding": 3.3898310175039783, + "deflection": 18230263747095.047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2473", + "improvement_over_parent": null + }, + "node_2475": { + "node_id": "node_2475", + "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 191.90 kg\n Factor of Safety: 0.97\n Max Deflection: 1.48e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.898227572617, + "fos_buckling": 0.9719850957086574, + "fos_yielding": 6.646699022340963, + "deflection": 14776227361419.771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.592)" + }, + "parent_node_id": "node_2474", + "improvement_over_parent": null + }, + "node_2476": { + "node_id": "node_2476", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 217.02 kg\n Factor of Safety: 0.78\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.02036922446385, + "fos_buckling": 0.7786663374960782, + "fos_yielding": 5.852750266384709, + "deflection": 0.014255429788518062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2475", + "improvement_over_parent": null + }, + "node_2477": { + "node_id": "node_2477", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0044)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 217.54 kg\n Factor of Safety: 0.78\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.53902756552975, + "fos_buckling": 0.7786663374960784, + "fos_yielding": 7.703046168052114, + "deflection": 0.014164855375914281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.361)" + }, + "parent_node_id": "node_2476", + "improvement_over_parent": null + }, + "node_2478": { + "node_id": "node_2478", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0044)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 236.15 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.15455362189707, + "fos_buckling": 0.9019244461223423, + "fos_yielding": 4.337994766968771, + "deflection": 0.012582942262360314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2477", + "improvement_over_parent": null + }, + "node_2479": { + "node_id": "node_2479", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0044)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.82 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.82483742815413, + "fos_buckling": 1.5344297280244623, + "fos_yielding": 7.7280282111923215, + "deflection": 0.011467744880407754, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2478", + "improvement_over_parent": null + }, + "node_2480": { + "node_id": "node_2480", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2479", + "improvement_over_parent": null + }, + "node_2481": { + "node_id": "node_2481", + "content": "INITIAL DESIGN (Trace 351)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 149.17 kg\n Factor of Safety: 0.31\n Max Deflection: 3.63e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.165124851159, + "fos_buckling": 0.3106186488544812, + "fos_yielding": 1.2467934127949438, + "deflection": 0.03626005188394714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2482": { + "node_id": "node_2482", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 169.13 kg\n Factor of Safety: 0.35\n Max Deflection: 3.21e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.13343269226635, + "fos_buckling": 0.34628337361555245, + "fos_yielding": 1.4098174666992038, + "deflection": 0.032059819601846555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_2481", + "improvement_over_parent": null + }, + "node_2483": { + "node_id": "node_2483", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 201.58 kg\n Factor of Safety: 0.40\n Max Deflection: 2.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.5771947325066, + "fos_buckling": 0.40130839410562463, + "fos_yielding": 1.6727929212145398, + "deflection": 0.027009845493043878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_2482", + "improvement_over_parent": null + }, + "node_2484": { + "node_id": "node_2484", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n Mass: 223.87 kg\n Factor of Safety: 1.39\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.8659961561137, + "fos_buckling": 1.392263127713065, + "fos_yielding": 6.863487448887025, + "deflection": 0.012912236812781872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007145)" + }, + "parent_node_id": "node_2483", + "improvement_over_parent": null + }, + "node_2485": { + "node_id": "node_2485", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.39058215019386, + "fos_buckling": 1.5340747433451807, + "fos_yielding": 7.74055593105272, + "deflection": 0.011490163506156411, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_2484", + "improvement_over_parent": null + }, + "node_2486": { + "node_id": "node_2486", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2485", + "improvement_over_parent": null + }, + "node_2487": { + "node_id": "node_2487", + "content": "INITIAL DESIGN (Trace 352)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0023)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 137.55 kg\n Factor of Safety: 0.91\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.54511126908605, + "fos_buckling": 0.9129563322536267, + "fos_yielding": 4.265897463600273, + "deflection": 0.020622455205638775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2488": { + "node_id": "node_2488", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 162.90 kg\n Factor of Safety: 1.06\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.89556381152696, + "fos_buckling": 1.0579301527484963, + "fos_yielding": 5.053237404153308, + "deflection": 0.01746512046248728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2487", + "improvement_over_parent": null + }, + "node_2489": { + "node_id": "node_2489", + "content": "MODIFICATION: Increase 14 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 166.69 kg\n Factor of Safety: 1.08\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.68988916957574, + "fos_buckling": 1.0849201354679798, + "fos_yielding": 5.089193434068172, + "deflection": 0.017218027223715356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.504)" + }, + "parent_node_id": "node_2488", + "improvement_over_parent": null + }, + "node_2490": { + "node_id": "node_2490", + "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 166.86 kg\n Factor of Safety: 1.09\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.85558009459288, + "fos_buckling": 1.0851597252056393, + "fos_yielding": 5.113043847084775, + "deflection": 0.017212452943982548, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.585)" + }, + "parent_node_id": "node_2489", + "improvement_over_parent": null + }, + "node_2491": { + "node_id": "node_2491", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 203.34 kg\n Factor of Safety: 1.29\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.33872125166187, + "fos_buckling": 1.285376660774109, + "fos_yielding": 6.233614983434543, + "deflection": 0.014183289240697535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_2490", + "improvement_over_parent": null + }, + "node_2492": { + "node_id": "node_2492", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.60 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.59905641661936, + "fos_buckling": 1.5351330626757322, + "fos_yielding": 7.74811897811391, + "deflection": 0.011481590366732887, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2491", + "improvement_over_parent": null + }, + "node_2493": { + "node_id": "node_2493", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2492", + "improvement_over_parent": null + }, + "node_2494": { + "node_id": "node_2494", + "content": "INITIAL DESIGN (Trace 353)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 184.76 kg\n Factor of Safety: 0.71\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.76068616355747, + "fos_buckling": 0.7102408461188436, + "fos_yielding": 5.226374120211072, + "deflection": 0.020091155579762272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2495": { + "node_id": "node_2495", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 211.04 kg\n Factor of Safety: 0.79\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.04106732036718, + "fos_buckling": 0.791053344371244, + "fos_yielding": 5.944359290706665, + "deflection": 0.017640146735502613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2494", + "improvement_over_parent": null + }, + "node_2496": { + "node_id": "node_2496", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 227.71 kg\n Factor of Safety: 0.92\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.71135112662427, + "fos_buckling": 0.915664209447943, + "fos_yielding": 6.807712822613405, + "deflection": 0.014908107836156821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2495", + "improvement_over_parent": null + }, + "node_2497": { + "node_id": "node_2497", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 228.42 kg\n Factor of Safety: 0.92\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4156719735453, + "fos_buckling": 0.915601791482586, + "fos_yielding": 6.807248762121858, + "deflection": 0.014905298180869683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_2496", + "improvement_over_parent": null + }, + "node_2498": { + "node_id": "node_2498", + "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 233.08 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.07939247363194, + "fos_buckling": 0.9153951992565287, + "fos_yielding": 6.805712805455789, + "deflection": 0.014745876275232798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.477)" + }, + "parent_node_id": "node_2497", + "improvement_over_parent": null + }, + "node_2499": { + "node_id": "node_2499", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.34563329453925, + "fos_buckling": 1.5340274728810643, + "fos_yielding": 7.73921368011163, + "deflection": 0.011492737363952408, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_2498", + "improvement_over_parent": null + }, + "node_2500": { + "node_id": "node_2500", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2499", + "improvement_over_parent": null + }, + "node_2501": { + "node_id": "node_2501", + "content": "INITIAL DESIGN (Trace 354)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 198.65 kg\n Factor of Safety: 0.77\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.6532068041686, + "fos_buckling": 0.7707022653563579, + "fos_yielding": 4.5329279928620565, + "deflection": 0.017106800999050504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2502": { + "node_id": "node_2502", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 227.82 kg\n Factor of Safety: 0.86\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.82435649671322, + "fos_buckling": 0.8610497117293742, + "fos_yielding": 5.201043257036175, + "deflection": 0.014953991233445417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2501", + "improvement_over_parent": null + }, + "node_2503": { + "node_id": "node_2503", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 228.53 kg\n Factor of Safety: 0.41\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.52867734363426, + "fos_buckling": 0.40533976922750936, + "fos_yielding": 5.201246005116012, + "deflection": 0.013744376209477547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_2502", + "improvement_over_parent": null + }, + "node_2504": { + "node_id": "node_2504", + "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0095)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 233.81 kg\n Factor of Safety: 0.41\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.80960963351524, + "fos_buckling": 0.4051283933366027, + "fos_yielding": 5.090730133736697, + "deflection": 0.013576001385439579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.256)" + }, + "parent_node_id": "node_2503", + "improvement_over_parent": null + }, + "node_2505": { + "node_id": "node_2505", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0095)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.66 kg\n Factor of Safety: 1.40\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.65765764882744, + "fos_buckling": 1.40347661594309, + "fos_yielding": 7.18644131787047, + "deflection": 0.011645895441381353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2504", + "improvement_over_parent": null + }, + "node_2506": { + "node_id": "node_2506", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2505", + "improvement_over_parent": null + }, + "node_2507": { + "node_id": "node_2507", + "content": "INITIAL DESIGN (Trace 355)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n\nPerformance:\n Mass: 116.02 kg\n Factor of Safety: 0.71\n Max Deflection: 1.43e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.01557665813786, + "fos_buckling": 0.7078418911785639, + "fos_yielding": 3.3898310175039783, + "deflection": 14271327507516.387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2508": { + "node_id": "node_2508", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n Mass: 129.81 kg\n Factor of Safety: 0.02\n Max Deflection: 6.37e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.80844752138813, + "fos_buckling": 0.02138832884134597, + "fos_yielding": 0.13008026052425337, + "deflection": 636519973744685.5, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004301)" + }, + "parent_node_id": "node_2507", + "improvement_over_parent": null + }, + "node_2509": { + "node_id": "node_2509", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n\nPerformance:\n Mass: 147.80 kg\n Factor of Safety: 0.03\n Max Deflection: 4.55e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.79863561815276, + "fos_buckling": 0.025468950507668633, + "fos_yielding": 0.10593221929699932, + "deflection": 454590552703446.9, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2508", + "improvement_over_parent": null + }, + "node_2510": { + "node_id": "node_2510", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n\nPerformance:\n Mass: 190.69 kg\n Factor of Safety: 1.43\n Max Deflection: 5.08e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.6929684172651, + "fos_buckling": 1.4342850928048214, + "fos_yielding": 6.779662035007957, + "deflection": 5081010711431.935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2509", + "improvement_over_parent": null + }, + "node_2511": { + "node_id": "node_2511", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n\nPerformance:\n Mass: 203.50 kg\n Factor of Safety: 0.40\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.5034360824218, + "fos_buckling": 0.3994957584169477, + "fos_yielding": 5.103672368810436, + "deflection": 0.01549433332023133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005355)" + }, + "parent_node_id": "node_2510", + "improvement_over_parent": null + }, + "node_2512": { + "node_id": "node_2512", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 233.88 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.88195596757654, + "fos_buckling": 0.4460392853964117, + "fos_yielding": 5.825570071048391, + "deflection": 0.013534459270952946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2511", + "improvement_over_parent": null + }, + "node_2513": { + "node_id": "node_2513", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49748202394386, + "fos_buckling": 1.5347063108651815, + "fos_yielding": 7.745459819042606, + "deflection": 0.01148574479395499, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2512", + "improvement_over_parent": null + }, + "node_2514": { + "node_id": "node_2514", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2513", + "improvement_over_parent": null + }, + "node_2515": { + "node_id": "node_2515", + "content": "INITIAL DESIGN (Trace 356)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0029)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n Mass: 123.20 kg\n Factor of Safety: 0.19\n Max Deflection: 2.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.20378517121974, + "fos_buckling": 0.19307253391476306, + "fos_yielding": 2.753709119824454, + "deflection": 0.025245200429732568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2516": { + "node_id": "node_2516", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 155.29 kg\n Factor of Safety: 0.24\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.29103342987239, + "fos_buckling": 0.23896725872871333, + "fos_yielding": 3.4613590230013496, + "deflection": 0.02011245961916408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2515", + "improvement_over_parent": null + }, + "node_2517": { + "node_id": "node_2517", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 198.70 kg\n Factor of Safety: 0.30\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.70410169622963, + "fos_buckling": 0.2982462356455415, + "fos_yielding": 4.4140612486751465, + "deflection": 0.015811306023429433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_2516", + "improvement_over_parent": null + }, + "node_2518": { + "node_id": "node_2518", + "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 203.74 kg\n Factor of Safety: 0.30\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.74127819851395, + "fos_buckling": 0.30005252421474465, + "fos_yielding": 4.4407944222221225, + "deflection": 0.015652467755630697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.357)" + }, + "parent_node_id": "node_2517", + "improvement_over_parent": null + }, + "node_2519": { + "node_id": "node_2519", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 219.98 kg\n Factor of Safety: 1.37\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.9813107890513, + "fos_buckling": 1.37315832776819, + "fos_yielding": 6.722717561950652, + "deflection": 0.013126941660757292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005812)" + }, + "parent_node_id": "node_2518", + "improvement_over_parent": null + }, + "node_2520": { + "node_id": "node_2520", + "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 220.19 kg\n Factor of Safety: 1.37\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.1862919134817, + "fos_buckling": 1.3734291818742752, + "fos_yielding": 6.751718997230697, + "deflection": 0.013123153177444195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.541)" + }, + "parent_node_id": "node_2519", + "improvement_over_parent": null + }, + "node_2521": { + "node_id": "node_2521", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.26 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.25627729048634, + "fos_buckling": 1.533459872668493, + "fos_yielding": 7.737935041281345, + "deflection": 0.011496653453001122, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2520", + "improvement_over_parent": null + }, + "node_2522": { + "node_id": "node_2522", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2521", + "improvement_over_parent": null + }, + "node_2523": { + "node_id": "node_2523", + "content": "INITIAL DESIGN (Trace 357)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0014)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 142.66 kg\n Factor of Safety: 0.73\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.6565289621046, + "fos_buckling": 0.7273819676122819, + "fos_yielding": 2.8761663580925863, + "deflection": 0.02072366193567069, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2524": { + "node_id": "node_2524", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 172.22 kg\n Factor of Safety: 0.87\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.21796652100682, + "fos_buckling": 0.8704221951283188, + "fos_yielding": 3.486022828512502, + "deflection": 0.01721647435398419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2523", + "improvement_over_parent": null + }, + "node_2525": { + "node_id": "node_2525", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 175.49 kg\n Factor of Safety: 0.90\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.48915422609656, + "fos_buckling": 0.9008722622593722, + "fos_yielding": 3.6079747154734507, + "deflection": 0.016582292286497727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.232)" + }, + "parent_node_id": "node_2524", + "improvement_over_parent": null + }, + "node_2526": { + "node_id": "node_2526", + "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 176.13 kg\n Factor of Safety: 1.14\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.1252858230839, + "fos_buckling": 1.1379797643577816, + "fos_yielding": 5.3770983026445, + "deflection": 0.016312391630168743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.592)" + }, + "parent_node_id": "node_2525", + "improvement_over_parent": null + }, + "node_2527": { + "node_id": "node_2527", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 198.77 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.7741802711741, + "fos_buckling": 1.2618022723133553, + "fos_yielding": 6.07027148663897, + "deflection": 0.014491258685518904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2526", + "improvement_over_parent": null + }, + "node_2528": { + "node_id": "node_2528", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.54844297348882, + "fos_buckling": 1.5357389622047064, + "fos_yielding": 7.717638417156319, + "deflection": 0.011475857865548077, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2527", + "improvement_over_parent": null + }, + "node_2529": { + "node_id": "node_2529", + "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.80 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.79509033117685, + "fos_buckling": 1.5360589910904294, + "fos_yielding": 7.753346737839593, + "deflection": 0.01147236282441518, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.590)" + }, + "parent_node_id": "node_2528", + "improvement_over_parent": null + }, + "node_2530": { + "node_id": "node_2530", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2529", + "improvement_over_parent": null + }, + "node_2531": { + "node_id": "node_2531", + "content": "INITIAL DESIGN (Trace 358)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 193.02 kg\n Factor of Safety: 0.40\n Max Deflection: 2.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.0174044175383, + "fos_buckling": 0.3966898428578893, + "fos_yielding": 1.1442959648609727, + "deflection": 0.02907322499207087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2532": { + "node_id": "node_2532", + "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 193.23 kg\n Factor of Safety: 0.40\n Max Deflection: 2.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.23015476912266, + "fos_buckling": 0.3966816348960492, + "fos_yielding": 1.6488491885402077, + "deflection": 0.02779171317598392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.572)" + }, + "parent_node_id": "node_2531", + "improvement_over_parent": null + }, + "node_2533": { + "node_id": "node_2533", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 198.15 kg\n Factor of Safety: 0.40\n Max Deflection: 2.74e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.14776889007888, + "fos_buckling": 0.3964920067298738, + "fos_yielding": 1.6480675674018235, + "deflection": 0.027435194076342956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.362)" + }, + "parent_node_id": "node_2532", + "improvement_over_parent": null + }, + "node_2534": { + "node_id": "node_2534", + "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 198.63 kg\n Factor of Safety: 0.40\n Max Deflection: 2.74e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.63043149748833, + "fos_buckling": 0.39645480410023765, + "fos_yielding": 1.6479142225619423, + "deflection": 0.02740190621848839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.300)" + }, + "parent_node_id": "node_2533", + "improvement_over_parent": null + }, + "node_2535": { + "node_id": "node_2535", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 227.38 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.3765583159203, + "fos_buckling": 0.4424970962838982, + "fos_yielding": 1.8790260133885366, + "deflection": 0.024024037070534198, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_2534", + "improvement_over_parent": null + }, + "node_2536": { + "node_id": "node_2536", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49869996776715, + "fos_buckling": 1.534619226295059, + "fos_yielding": 7.744165697922918, + "deflection": 0.01148582697924897, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2535", + "improvement_over_parent": null + }, + "node_2537": { + "node_id": "node_2537", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2536", + "improvement_over_parent": null + }, + "node_2538": { + "node_id": "node_2538", + "content": "INITIAL DESIGN (Trace 359)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 176.39 kg\n Factor of Safety: 0.77\n Max Deflection: 7.00e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.38589210401886, + "fos_buckling": 0.7698166515007098, + "fos_yielding": 3.3898310175039783, + "deflection": 7004743863564.295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2539": { + "node_id": "node_2539", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n\nPerformance:\n Mass: 195.58 kg\n Factor of Safety: 0.57\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.5813555561702, + "fos_buckling": 0.5704797571698131, + "fos_yielding": 3.8825547905601434, + "deflection": 0.0220736407632457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006082)" + }, + "parent_node_id": "node_2538", + "improvement_over_parent": null + }, + "node_2540": { + "node_id": "node_2540", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 222.72 kg\n Factor of Safety: 0.57\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.71987912455265, + "fos_buckling": 0.5690079834882563, + "fos_yielding": 5.848579165645626, + "deflection": 0.019255842536476574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2539", + "improvement_over_parent": null + }, + "node_2541": { + "node_id": "node_2541", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 223.42 kg\n Factor of Safety: 0.53\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.42419997147368, + "fos_buckling": 0.5334501467850569, + "fos_yielding": 5.84702633739655, + "deflection": 0.015124007938308901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_2540", + "improvement_over_parent": null + }, + "node_2542": { + "node_id": "node_2542", + "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 224.32 kg\n Factor of Safety: 0.53\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.31543225444614, + "fos_buckling": 0.5343559741976154, + "fos_yielding": 5.84702633739655, + "deflection": 0.015091977913498476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.484)" + }, + "parent_node_id": "node_2541", + "improvement_over_parent": null + }, + "node_2543": { + "node_id": "node_2543", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 242.93 kg\n Factor of Safety: 1.29\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.93095831081345, + "fos_buckling": 1.2861598297653578, + "fos_yielding": 8.013315798374517, + "deflection": 0.012089711398315255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2542", + "improvement_over_parent": null + }, + "node_2544": { + "node_id": "node_2544", + "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0055)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.12 kg\n Factor of Safety: 1.33\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.11880416506588, + "fos_buckling": 1.3270530107657421, + "fos_yielding": 8.04084597365202, + "deflection": 0.011984103193255246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.339)" + }, + "parent_node_id": "node_2543", + "improvement_over_parent": null + }, + "node_2545": { + "node_id": "node_2545", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2544", + "improvement_over_parent": null + }, + "node_2546": { + "node_id": "node_2546", + "content": "INITIAL DESIGN (Trace 360)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 200.73 kg\n Factor of Safety: 1.06\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.73101805268888, + "fos_buckling": 1.062966642659982, + "fos_yielding": 6.902299543583076, + "deflection": 0.01459962688754418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2547": { + "node_id": "node_2547", + "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 1.15\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.31268241788254, + "fos_buckling": 1.146342131649824, + "fos_yielding": 7.128979632460307, + "deflection": 0.0144096950129712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.314)" + }, + "parent_node_id": "node_2546", + "improvement_over_parent": null + }, + "node_2548": { + "node_id": "node_2548", + "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 209.33 kg\n Factor of Safety: 1.25\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.33203610073903, + "fos_buckling": 1.2509653990903247, + "fos_yielding": 6.7855785334996135, + "deflection": 0.013787951420965873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.335)" + }, + "parent_node_id": "node_2547", + "improvement_over_parent": null + }, + "node_2549": { + "node_id": "node_2549", + "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 212.84 kg\n Factor of Safety: 1.34\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.83664179308977, + "fos_buckling": 1.3353397647227812, + "fos_yielding": 6.525996281430793, + "deflection": 0.013564543184582166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.297)" + }, + "parent_node_id": "node_2548", + "improvement_over_parent": null + }, + "node_2550": { + "node_id": "node_2550", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.56047311505228, + "fos_buckling": 1.5349157040353716, + "fos_yielding": 7.74751842900379, + "deflection": 0.011482869723722502, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_2549", + "improvement_over_parent": null + }, + "node_2551": { + "node_id": "node_2551", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2550", + "improvement_over_parent": null + }, + "node_2552": { + "node_id": "node_2552", + "content": "INITIAL DESIGN (Trace 361)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 189.76 kg\n Factor of Safety: 0.41\n Max Deflection: 4.83e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.7641660231245, + "fos_buckling": 0.4066583224138855, + "fos_yielding": 0.8474577543759946, + "deflection": 48343930719269.49, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2553": { + "node_id": "node_2553", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 213.05 kg\n Factor of Safety: 0.21\n Max Deflection: 1.59e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.05000562522173, + "fos_buckling": 0.21297654663478546, + "fos_yielding": 3.389831017503978, + "deflection": 15850070121226.47, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_2552", + "improvement_over_parent": null + }, + "node_2554": { + "node_id": "node_2554", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 231.67 kg\n Factor of Safety: 0.85\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.66553168158904, + "fos_buckling": 0.8450039348457474, + "fos_yielding": 5.040879484752166, + "deflection": 0.013787863156341703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2553", + "improvement_over_parent": null + }, + "node_2555": { + "node_id": "node_2555", + "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 236.96 kg\n Factor of Safety: 0.84\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.96415748556623, + "fos_buckling": 0.8437313671192374, + "fos_yielding": 4.811471495014921, + "deflection": 0.013317315231196985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.279)" + }, + "parent_node_id": "node_2554", + "improvement_over_parent": null + }, + "node_2556": { + "node_id": "node_2556", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 251.69 kg\n Factor of Safety: 1.32\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.6886650942238, + "fos_buckling": 1.3240203867830744, + "fos_yielding": 5.518398527150896, + "deflection": 0.01163917403141334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2555", + "improvement_over_parent": null + }, + "node_2557": { + "node_id": "node_2557", + "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 251.99 kg\n Factor of Safety: 1.33\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.99400123081512, + "fos_buckling": 1.3289175115993654, + "fos_yielding": 5.538809305295448, + "deflection": 0.011635998359772762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.502)" + }, + "parent_node_id": "node_2556", + "improvement_over_parent": null + }, + "node_2558": { + "node_id": "node_2558", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2557", + "improvement_over_parent": null + }, + "node_2559": { + "node_id": "node_2559", + "content": "INITIAL DESIGN (Trace 362)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 151.42 kg\n Factor of Safety: 0.57\n Max Deflection: 2.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.42162662224564, + "fos_buckling": 0.5679522502232802, + "fos_yielding": 4.034247792168148, + "deflection": 0.026396067689684083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2560": { + "node_id": "node_2560", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n\nPerformance:\n Mass: 152.71 kg\n Factor of Safety: 0.65\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.7076053639144, + "fos_buckling": 0.6463648136926763, + "fos_yielding": 4.528065835924935, + "deflection": 0.02219363059420799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.001960)" + }, + "parent_node_id": "node_2559", + "improvement_over_parent": null + }, + "node_2561": { + "node_id": "node_2561", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n\nPerformance:\n Mass: 153.03 kg\n Factor of Safety: 0.65\n Max Deflection: 2.22e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.0329032751721, + "fos_buckling": 0.6463648136926761, + "fos_yielding": 4.528065835924935, + "deflection": 0.0221600322343929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.325)" + }, + "parent_node_id": "node_2560", + "improvement_over_parent": null + }, + "node_2562": { + "node_id": "node_2562", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n Mass: 153.50 kg\n Factor of Safety: 0.65\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.49755877854201, + "fos_buckling": 0.6463355169754629, + "fos_yielding": 4.527860599715435, + "deflection": 0.02213390832108187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001365)" + }, + "parent_node_id": "node_2561", + "improvement_over_parent": null + }, + "node_2563": { + "node_id": "node_2563", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 192.97 kg\n Factor of Safety: 0.79\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.96572714588967, + "fos_buckling": 0.7859744977632881, + "fos_yielding": 5.669449238612169, + "deflection": 0.017685765983018537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_2562", + "improvement_over_parent": null + }, + "node_2564": { + "node_id": "node_2564", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 193.28 kg\n Factor of Safety: 0.79\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.28273468162334, + "fos_buckling": 0.7859744977632881, + "fos_yielding": 5.669449238612169, + "deflection": 0.017685765983018537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.236)" + }, + "parent_node_id": "node_2563", + "improvement_over_parent": null + }, + "node_2565": { + "node_id": "node_2565", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0035)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 209.26 kg\n Factor of Safety: 1.22\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.25959254578655, + "fos_buckling": 1.2242528031036455, + "fos_yielding": 5.060128879446456, + "deflection": 0.013885138267814259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005816)" + }, + "parent_node_id": "node_2564", + "improvement_over_parent": null + }, + "node_2566": { + "node_id": "node_2566", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0043)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.13 kg\n Factor of Safety: 1.45\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.13327879915357, + "fos_buckling": 1.4479166419762906, + "fos_yielding": 6.123394290869947, + "deflection": 0.011577971520966244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2565", + "improvement_over_parent": null + }, + "node_2567": { + "node_id": "node_2567", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2566", + "improvement_over_parent": null + }, + "node_2568": { + "node_id": "node_2568", + "content": "INITIAL DESIGN (Trace 363)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 166.54 kg\n Factor of Safety: 0.33\n Max Deflection: 4.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.53636047033308, + "fos_buckling": 0.33168217345563467, + "fos_yielding": 2.991739416051522, + "deflection": 0.04128564497067387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2569": { + "node_id": "node_2569", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n\nPerformance:\n Mass: 168.43 kg\n Factor of Safety: 0.33\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.43334908645423, + "fos_buckling": 0.3315577157517437, + "fos_yielding": 3.8919590474402486, + "deflection": 0.01834767284795967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002954)" + }, + "parent_node_id": "node_2568", + "improvement_over_parent": null + }, + "node_2570": { + "node_id": "node_2570", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n\nPerformance:\n Mass: 182.48 kg\n Factor of Safety: 1.07\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.4762911020053, + "fos_buckling": 1.0727197652710183, + "fos_yielding": 5.539438682374606, + "deflection": 0.01579079879724259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004935)" + }, + "parent_node_id": "node_2569", + "improvement_over_parent": null + }, + "node_2571": { + "node_id": "node_2571", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n Mass: 214.90 kg\n Factor of Safety: 1.24\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.8952343653863, + "fos_buckling": 1.2370900912731735, + "fos_yielding": 6.526599595235153, + "deflection": 0.01345789576626422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2570", + "improvement_over_parent": null + }, + "node_2572": { + "node_id": "node_2572", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 244.91 kg\n Factor of Safety: 1.38\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.90859398251678, + "fos_buckling": 1.3822953187265632, + "fos_yielding": 7.441387764289928, + "deflection": 0.011848644970658117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_2571", + "improvement_over_parent": null + }, + "node_2573": { + "node_id": "node_2573", + "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0091)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 249.22 kg\n Factor of Safety: 1.42\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.21723940099008, + "fos_buckling": 1.4242313581320036, + "fos_yielding": 7.254741290891287, + "deflection": 0.011700691805289277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.208)" + }, + "parent_node_id": "node_2572", + "improvement_over_parent": null + }, + "node_2574": { + "node_id": "node_2574", + "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0091)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0050)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 249.73 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.7348324148686, + "fos_buckling": 1.4369988778511213, + "fos_yielding": 8.502279054578098, + "deflection": 0.01163309690530426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.229)" + }, + "parent_node_id": "node_2573", + "improvement_over_parent": null + }, + "node_2575": { + "node_id": "node_2575", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2574", + "improvement_over_parent": null + }, + "node_2576": { + "node_id": "node_2576", + "content": "INITIAL DESIGN (Trace 364)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n Mass: 146.72 kg\n Factor of Safety: 0.26\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.72282974654962, + "fos_buckling": 0.263371617184592, + "fos_yielding": 3.854291907865717, + "deflection": 0.021342179143637407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2577": { + "node_id": "node_2577", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n\nPerformance:\n Mass: 176.22 kg\n Factor of Safety: 0.31\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.21591420035261, + "fos_buckling": 0.30960802188997216, + "fos_yielding": 4.611070194373374, + "deflection": 0.017836869523674293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_2576", + "improvement_over_parent": null + }, + "node_2578": { + "node_id": "node_2578", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n Mass: 200.97 kg\n Factor of Safety: 0.35\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.96987404365106, + "fos_buckling": 0.3467314553667975, + "fos_yielding": 5.239356315194599, + "deflection": 0.01568892017091427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_2577", + "improvement_over_parent": null + }, + "node_2579": { + "node_id": "node_2579", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n Mass: 201.10 kg\n Factor of Safety: 0.41\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.10080000268167, + "fos_buckling": 0.4089563594241492, + "fos_yielding": 5.239097069893414, + "deflection": 0.015658190460440553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.285)" + }, + "parent_node_id": "node_2578", + "improvement_over_parent": null + }, + "node_2580": { + "node_id": "node_2580", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 217.74 kg\n Factor of Safety: 1.20\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.74467582549823, + "fos_buckling": 1.1962707628167921, + "fos_yielding": 6.844027881855057, + "deflection": 0.01337746851498399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005969)" + }, + "parent_node_id": "node_2579", + "improvement_over_parent": null + }, + "node_2581": { + "node_id": "node_2581", + "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 221.28 kg\n Factor of Safety: 1.24\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.27877408493907, + "fos_buckling": 1.2390509091061344, + "fos_yielding": 6.6324148762442645, + "deflection": 0.013174100260023656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.222)" + }, + "parent_node_id": "node_2580", + "improvement_over_parent": null + }, + "node_2582": { + "node_id": "node_2582", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 247.51 kg\n Factor of Safety: 1.36\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.50609437612945, + "fos_buckling": 1.3632654034725848, + "fos_yielding": 7.422339445101124, + "deflection": 0.011811806828297342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_2581", + "improvement_over_parent": null + }, + "node_2583": { + "node_id": "node_2583", + "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.35597590285812, + "fos_buckling": 1.5341422134125335, + "fos_yielding": 7.7410387900956055, + "deflection": 0.011492153875048344, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.239)" + }, + "parent_node_id": "node_2582", + "improvement_over_parent": null + }, + "node_2584": { + "node_id": "node_2584", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2583", + "improvement_over_parent": null + }, + "node_2585": { + "node_id": "node_2585", + "content": "INITIAL DESIGN (Trace 365)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 0.43\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.2234200422616, + "fos_buckling": 0.4257756473800923, + "fos_yielding": 5.377170016084893, + "deflection": 0.014858333751234146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2586": { + "node_id": "node_2586", + "content": "MODIFICATION: Increase 13 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 226.34 kg\n Factor of Safety: 0.41\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.33731469561633, + "fos_buckling": 0.4060918104954114, + "fos_yielding": 5.37767362014925, + "deflection": 0.014802895247998186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.233)" + }, + "parent_node_id": "node_2585", + "improvement_over_parent": null + }, + "node_2587": { + "node_id": "node_2587", + "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.64 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.63652764883616, + "fos_buckling": 0.40521369345388814, + "fos_yielding": 5.37495417367491, + "deflection": 0.013389814643995857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.449)" + }, + "parent_node_id": "node_2586", + "improvement_over_parent": null + }, + "node_2588": { + "node_id": "node_2588", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.48457566414837, + "fos_buckling": 1.5345608084139826, + "fos_yielding": 7.743899548482245, + "deflection": 0.01148611366013276, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2587", + "improvement_over_parent": null + }, + "node_2589": { + "node_id": "node_2589", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2588", + "improvement_over_parent": null + }, + "node_2590": { + "node_id": "node_2590", + "content": "INITIAL DESIGN (Trace 366)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2591": { + "node_id": "node_2591", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 224.32 kg\n Factor of Safety: 0.92\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.32347279564559, + "fos_buckling": 0.9167688237376229, + "fos_yielding": 6.816599573781419, + "deflection": 0.01487841295558864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_2590", + "improvement_over_parent": null + }, + "node_2592": { + "node_id": "node_2592", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 247.61 kg\n Factor of Safety: 1.44\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.60931239774283, + "fos_buckling": 1.4367077094871232, + "fos_yielding": 7.551695244176326, + "deflection": 0.01164400990199698, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_2591", + "improvement_over_parent": null + }, + "node_2593": { + "node_id": "node_2593", + "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0090)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 253.28 kg\n Factor of Safety: 1.39\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.28228105903014, + "fos_buckling": 1.3878534117417503, + "fos_yielding": 7.658349114277148, + "deflection": 0.011524485536813579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.364)" + }, + "parent_node_id": "node_2592", + "improvement_over_parent": null + }, + "node_2594": { + "node_id": "node_2594", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0090)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 253.87 kg\n Factor of Safety: 1.48\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.87289152650195, + "fos_buckling": 1.4776094883372677, + "fos_yielding": 7.985232908448327, + "deflection": 0.011483073511511442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001764)" + }, + "parent_node_id": "node_2593", + "improvement_over_parent": null + }, + "node_2595": { + "node_id": "node_2595", + "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0099)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0090)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 258.99 kg\n Factor of Safety: 1.48\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.99251480699013, + "fos_buckling": 1.48057010033916, + "fos_yielding": 8.27524139101177, + "deflection": 0.011232203113425777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.212)" + }, + "parent_node_id": "node_2594", + "improvement_over_parent": null + }, + "node_2596": { + "node_id": "node_2596", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2595", + "improvement_over_parent": null + }, + "node_2597": { + "node_id": "node_2597", + "content": "INITIAL DESIGN (Trace 367)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 201.77 kg\n Factor of Safety: 0.74\n Max Deflection: 6.29e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.77280668921017, + "fos_buckling": 0.743308462765946, + "fos_yielding": 3.3898310175039783, + "deflection": 6292100771884.679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2598": { + "node_id": "node_2598", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 226.89 kg\n Factor of Safety: 0.90\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.89494834105702, + "fos_buckling": 0.9029446938240047, + "fos_yielding": 5.480607279489327, + "deflection": 0.015884700994663832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2597", + "improvement_over_parent": null + }, + "node_2599": { + "node_id": "node_2599", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 243.57 kg\n Factor of Safety: 0.81\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.56523214731408, + "fos_buckling": 0.8083548535211568, + "fos_yielding": 4.525673826424942, + "deflection": 0.01574857494052227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2598", + "improvement_over_parent": null + }, + "node_2600": { + "node_id": "node_2600", + "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 249.93 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.93032939571913, + "fos_buckling": 0.8024342418600874, + "fos_yielding": 4.471677867238536, + "deflection": 0.015748303156101404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.541)" + }, + "parent_node_id": "node_2599", + "improvement_over_parent": null + }, + "node_2601": { + "node_id": "node_2601", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47632155678127, + "fos_buckling": 1.5345798820693115, + "fos_yielding": 7.743784803522534, + "deflection": 0.011486850966091509, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2600", + "improvement_over_parent": null + }, + "node_2602": { + "node_id": "node_2602", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2601", + "improvement_over_parent": null + }, + "node_2603": { + "node_id": "node_2603", + "content": "INITIAL DESIGN (Trace 368)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 153.16 kg\n Factor of Safety: 0.31\n Max Deflection: 3.18e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.15563647520912, + "fos_buckling": 0.3082329480036042, + "fos_yielding": 0.8474577543759946, + "deflection": 31818836208697.367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2604": { + "node_id": "node_2604", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 153.47 kg\n Factor of Safety: 0.31\n Max Deflection: 3.18e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.468683312534, + "fos_buckling": 0.3089445819956738, + "fos_yielding": 1.9418542924403726, + "deflection": 31818836208697.35, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.376)" + }, + "parent_node_id": "node_2603", + "improvement_over_parent": null + }, + "node_2605": { + "node_id": "node_2605", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 153.77 kg\n Factor of Safety: 0.57\n Max Deflection: 7.75e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.76842408675685, + "fos_buckling": 0.5703592282997054, + "fos_yielding": 2.2598873450026526, + "deflection": 7752877969692.807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.383)" + }, + "parent_node_id": "node_2604", + "improvement_over_parent": null + }, + "node_2606": { + "node_id": "node_2606", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n\nPerformance:\n Mass: 165.97 kg\n Factor of Safety: 0.34\n Max Deflection: 3.27e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.97001937132345, + "fos_buckling": 0.3414981671789501, + "fos_yielding": 1.3876465561504059, + "deflection": 0.032706420808556715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004554)" + }, + "parent_node_id": "node_2605", + "improvement_over_parent": null + }, + "node_2607": { + "node_id": "node_2607", + "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n\nPerformance:\n Mass: 166.41 kg\n Factor of Safety: 0.34\n Max Deflection: 3.26e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.4103139410624, + "fos_buckling": 0.34149816717895, + "fos_yielding": 1.387646556150407, + "deflection": 0.032573266289252625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.420)" + }, + "parent_node_id": "node_2606", + "improvement_over_parent": null + }, + "node_2608": { + "node_id": "node_2608", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n\nPerformance:\n Mass: 196.11 kg\n Factor of Safety: 0.39\n Max Deflection: 2.77e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.10578763128518, + "fos_buckling": 0.3922785087003118, + "fos_yielding": 1.6286175227744957, + "deflection": 0.0277443615612174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_2607", + "improvement_over_parent": null + }, + "node_2609": { + "node_id": "node_2609", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 227.35 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.34620260970974, + "fos_buckling": 0.4424517962990653, + "fos_yielding": 1.8800185474437459, + "deflection": 0.02402586222834876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2608", + "improvement_over_parent": null + }, + "node_2610": { + "node_id": "node_2610", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46834426155658, + "fos_buckling": 1.53452674019908, + "fos_yielding": 7.744143673686012, + "deflection": 0.011487142737544323, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2609", + "improvement_over_parent": null + }, + "node_2611": { + "node_id": "node_2611", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2610", + "improvement_over_parent": null + }, + "node_2612": { + "node_id": "node_2612", + "content": "INITIAL DESIGN (Trace 369)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 185.27 kg\n Factor of Safety: 0.68\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.271106227516, + "fos_buckling": 0.6799501437489921, + "fos_yielding": 2.5876918855695266, + "deflection": 0.0214125768410152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2613": { + "node_id": "node_2613", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 203.06 kg\n Factor of Safety: 0.68\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.06258191592042, + "fos_buckling": 0.6793628561834315, + "fos_yielding": 3.8849583516442174, + "deflection": 0.0196153326106968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_2612", + "improvement_over_parent": null + }, + "node_2614": { + "node_id": "node_2614", + "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 208.20 kg\n Factor of Safety: 0.68\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.19569198532616, + "fos_buckling": 0.6791936033576049, + "fos_yielding": 3.8839967297659075, + "deflection": 0.019428288919821655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.587)" + }, + "parent_node_id": "node_2613", + "improvement_over_parent": null + }, + "node_2615": { + "node_id": "node_2615", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 235.33 kg\n Factor of Safety: 0.90\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.33421555370862, + "fos_buckling": 0.901922476353495, + "fos_yielding": 5.35581153521502, + "deflection": 0.012590055627851612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2614", + "improvement_over_parent": null + }, + "node_2616": { + "node_id": "node_2616", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.00 kg\n Factor of Safety: 1.36\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.00449935996568, + "fos_buckling": 1.36327591750292, + "fos_yielding": 7.736155676354523, + "deflection": 0.011520505315461066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2615", + "improvement_over_parent": null + }, + "node_2617": { + "node_id": "node_2617", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47008626346263, + "fos_buckling": 1.534510192367523, + "fos_yielding": 7.744367682050385, + "deflection": 0.011487037874313398, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.435)" + }, + "parent_node_id": "node_2616", + "improvement_over_parent": null + }, + "node_2618": { + "node_id": "node_2618", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2617", + "improvement_over_parent": null + }, + "node_2619": { + "node_id": "node_2619", + "content": "INITIAL DESIGN (Trace 370)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 145.34 kg\n Factor of Safety: 0.57\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.33710124455595, + "fos_buckling": 0.568283592996019, + "fos_yielding": 4.0515966799586005, + "deflection": 0.021141416248974705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2620": { + "node_id": "node_2620", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 148.01 kg\n Factor of Safety: 0.57\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.01172695567206, + "fos_buckling": 0.5681370144171062, + "fos_yielding": 4.050558634102772, + "deflection": 0.020748494126464036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.225)" + }, + "parent_node_id": "node_2619", + "improvement_over_parent": null + }, + "node_2621": { + "node_id": "node_2621", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n\nPerformance:\n Mass: 159.37 kg\n Factor of Safety: 0.33\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.37338177991114, + "fos_buckling": 0.32602489211982283, + "fos_yielding": 4.0373763884134135, + "deflection": 0.019672381605413746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004221)" + }, + "parent_node_id": "node_2620", + "improvement_over_parent": null + }, + "node_2622": { + "node_id": "node_2622", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n\nPerformance:\n Mass: 180.20 kg\n Factor of Safety: 0.36\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.2025757244525, + "fos_buckling": 0.36158674790717316, + "fos_yielding": 4.543447624572002, + "deflection": 0.017445357157990157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_2621", + "improvement_over_parent": null + }, + "node_2623": { + "node_id": "node_2623", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 233.73 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.7282323350277, + "fos_buckling": 0.4458297659804359, + "fos_yielding": 5.822226593123846, + "deflection": 0.01354307050563531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_2622", + "improvement_over_parent": null + }, + "node_2624": { + "node_id": "node_2624", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.34 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.34375839139503, + "fos_buckling": 1.5342192130886512, + "fos_yielding": 7.739443101512909, + "deflection": 0.01149320083714602, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2623", + "improvement_over_parent": null + }, + "node_2625": { + "node_id": "node_2625", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2624", + "improvement_over_parent": null + }, + "node_2626": { + "node_id": "node_2626", + "content": "INITIAL DESIGN (Trace 371)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 198.77 kg\n Factor of Safety: 0.80\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.76680667889167, + "fos_buckling": 0.7958175586798908, + "fos_yielding": 4.574479508883688, + "deflection": 0.014799982178459379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2627": { + "node_id": "node_2627", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 231.04 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.0353486939138, + "fos_buckling": 0.9017325626820406, + "fos_yielding": 5.30741544262623, + "deflection": 0.01277535821525608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2626", + "improvement_over_parent": null + }, + "node_2628": { + "node_id": "node_2628", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 247.71 kg\n Factor of Safety: 1.24\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.70563250017085, + "fos_buckling": 1.244829322244181, + "fos_yielding": 7.984972885338793, + "deflection": 0.01187331342714917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2627", + "improvement_over_parent": null + }, + "node_2629": { + "node_id": "node_2629", + "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 248.28 kg\n Factor of Safety: 1.41\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.28315209142056, + "fos_buckling": 1.4109627921921122, + "fos_yielding": 7.996686718152675, + "deflection": 0.011826814831383044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.597)" + }, + "parent_node_id": "node_2628", + "improvement_over_parent": null + }, + "node_2630": { + "node_id": "node_2630", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.42946561160278, + "fos_buckling": 1.5342383810846785, + "fos_yielding": 7.741365290190227, + "deflection": 0.011488599053837884, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.217)" + }, + "parent_node_id": "node_2629", + "improvement_over_parent": null + }, + "node_2631": { + "node_id": "node_2631", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2630", + "improvement_over_parent": null + }, + "node_2632": { + "node_id": "node_2632", + "content": "INITIAL DESIGN (Trace 372)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 146.57 kg\n Factor of Safety: 0.30\n Max Deflection: 7.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.57418579781512, + "fos_buckling": 0.30481529050046824, + "fos_yielding": 2.1998141208069266, + "deflection": 0.07306095857338439, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2633": { + "node_id": "node_2633", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n\nPerformance:\n Mass: 147.09 kg\n Factor of Safety: 0.34\n Max Deflection: 4.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.09178586247398, + "fos_buckling": 0.3432593737707961, + "fos_yielding": 1.3955606122352273, + "deflection": 0.04079625913238644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001531)" + }, + "parent_node_id": "node_2632", + "improvement_over_parent": null + }, + "node_2634": { + "node_id": "node_2634", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n\nPerformance:\n Mass: 165.55 kg\n Factor of Safety: 0.52\n Max Deflection: 2.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.54844117294124, + "fos_buckling": 0.5247547350204489, + "fos_yielding": 2.868683062119033, + "deflection": 0.025108550042775016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005832)" + }, + "parent_node_id": "node_2633", + "improvement_over_parent": null + }, + "node_2635": { + "node_id": "node_2635", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n\nPerformance:\n Mass: 185.49 kg\n Factor of Safety: 1.19\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.48826882523346, + "fos_buckling": 1.1890957699642088, + "fos_yielding": 5.68541288299819, + "deflection": 0.015516192584315363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005834)" + }, + "parent_node_id": "node_2634", + "improvement_over_parent": null + }, + "node_2636": { + "node_id": "node_2636", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n\nPerformance:\n Mass: 211.45 kg\n Factor of Safety: 1.33\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.45077154393425, + "fos_buckling": 1.3281773622636643, + "fos_yielding": 6.483113030552245, + "deflection": 0.0136515218304729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_2635", + "improvement_over_parent": null + }, + "node_2637": { + "node_id": "node_2637", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n Mass: 252.65 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.64909696555432, + "fos_buckling": 1.5354283028318803, + "fos_yielding": 7.749906567532081, + "deflection": 0.011479151527784233, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_2636", + "improvement_over_parent": null + }, + "node_2638": { + "node_id": "node_2638", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2637", + "improvement_over_parent": null + }, + "node_2639": { + "node_id": "node_2639", + "content": "INITIAL DESIGN (Trace 373)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 187.70 kg\n Factor of Safety: 1.09\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.69545474504937, + "fos_buckling": 1.0930933406354513, + "fos_yielding": 6.38350620459522, + "deflection": 0.015584057134724612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2640": { + "node_id": "node_2640", + "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 191.60 kg\n Factor of Safety: 1.20\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.59834198960047, + "fos_buckling": 1.1997627133761704, + "fos_yielding": 6.1193065976625896, + "deflection": 0.015025031248074737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.271)" + }, + "parent_node_id": "node_2639", + "improvement_over_parent": null + }, + "node_2641": { + "node_id": "node_2641", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.27 kg\n Factor of Safety: 1.49\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.27352393645668, + "fos_buckling": 1.4918156797534758, + "fos_yielding": 7.961044906519737, + "deflection": 0.011624578195872978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2640", + "improvement_over_parent": null + }, + "node_2642": { + "node_id": "node_2642", + "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.41583127243675, + "fos_buckling": 1.5342682285705542, + "fos_yielding": 7.740438541866569, + "deflection": 0.011489111265140297, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.214)" + }, + "parent_node_id": "node_2641", + "improvement_over_parent": null + }, + "node_2643": { + "node_id": "node_2643", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2642", + "improvement_over_parent": null + }, + "node_2644": { + "node_id": "node_2644", + "content": "INITIAL DESIGN (Trace 374)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 185.08 kg\n Factor of Safety: 0.72\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.08325492270185, + "fos_buckling": 0.7202008342901729, + "fos_yielding": 5.312163150359235, + "deflection": 0.018873565736294565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2645": { + "node_id": "node_2645", + "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 190.71 kg\n Factor of Safety: 0.72\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.70524958630926, + "fos_buckling": 0.7200039741779073, + "fos_yielding": 4.941399829176989, + "deflection": 0.01869162285276008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.548)" + }, + "parent_node_id": "node_2644", + "improvement_over_parent": null + }, + "node_2646": { + "node_id": "node_2646", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 211.92 kg\n Factor of Safety: 0.79\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.92076209654874, + "fos_buckling": 0.7881212668831225, + "fos_yielding": 5.484570572401426, + "deflection": 0.016851864131044513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_2645", + "improvement_over_parent": null + }, + "node_2647": { + "node_id": "node_2647", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 231.19 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.18700291745606, + "fos_buckling": 0.9019806113685596, + "fos_yielding": 5.474223915357442, + "deflection": 0.012838256730306625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_2646", + "improvement_over_parent": null + }, + "node_2648": { + "node_id": "node_2648", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0092)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 235.74 kg\n Factor of Safety: 0.90\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.73973750097156, + "fos_buckling": 0.9015749118271245, + "fos_yielding": 5.471784634720694, + "deflection": 0.012675869493492545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.220)" + }, + "parent_node_id": "node_2647", + "improvement_over_parent": null + }, + "node_2649": { + "node_id": "node_2649", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0092)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.41 kg\n Factor of Safety: 1.42\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.41002130722865, + "fos_buckling": 1.4193215161121124, + "fos_yielding": 7.24936217735319, + "deflection": 0.011629916984992406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2648", + "improvement_over_parent": null + }, + "node_2650": { + "node_id": "node_2650", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2649", + "improvement_over_parent": null + }, + "node_2651": { + "node_id": "node_2651", + "content": "INITIAL DESIGN (Trace 375)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 160.34 kg\n Factor of Safety: 0.94\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.3379773780889, + "fos_buckling": 0.9370889993719597, + "fos_yielding": 5.325957324649376, + "deflection": 0.01817225109549776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2652": { + "node_id": "node_2652", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 163.93 kg\n Factor of Safety: 0.95\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.93484837738953, + "fos_buckling": 0.9476490644906301, + "fos_yielding": 5.092628388223255, + "deflection": 0.017458074696838632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.295)" + }, + "parent_node_id": "node_2651", + "improvement_over_parent": null + }, + "node_2653": { + "node_id": "node_2653", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 194.24 kg\n Factor of Safety: 1.10\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.241394075125, + "fos_buckling": 1.1007859099123782, + "fos_yielding": 6.0353452329670185, + "deflection": 0.01478633699988129, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_2652", + "improvement_over_parent": null + }, + "node_2654": { + "node_id": "node_2654", + "content": "MODIFICATION: Increase 15 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 196.31 kg\n Factor of Safety: 1.14\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.30721909585623, + "fos_buckling": 1.1434803750459737, + "fos_yielding": 6.023167715968996, + "deflection": 0.014693101002404304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.178)" + }, + "parent_node_id": "node_2653", + "improvement_over_parent": null + }, + "node_2655": { + "node_id": "node_2655", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.11 kg\n Factor of Safety: 1.41\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.11111773719915, + "fos_buckling": 1.4145854661169304, + "fos_yielding": 7.7401187238533815, + "deflection": 0.011513797704267881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2654", + "improvement_over_parent": null + }, + "node_2656": { + "node_id": "node_2656", + "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.52109179307746, + "fos_buckling": 1.5348462855321074, + "fos_yielding": 7.747056090023731, + "deflection": 0.011485552943482483, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.366)" + }, + "parent_node_id": "node_2655", + "improvement_over_parent": null + }, + "node_2657": { + "node_id": "node_2657", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2656", + "improvement_over_parent": null + }, + "node_2658": { + "node_id": "node_2658", + "content": "INITIAL DESIGN (Trace 376)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 149.65 kg\n Factor of Safety: 0.60\n Max Deflection: 2.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.6521556765903, + "fos_buckling": 0.5980428847881564, + "fos_yielding": 3.501473901478434, + "deflection": 0.02921882774174272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2659": { + "node_id": "node_2659", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n Mass: 150.11 kg\n Factor of Safety: 0.60\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.11456160038946, + "fos_buckling": 0.597936333391733, + "fos_yielding": 3.747967830607015, + "deflection": 0.02005855804356426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001358)" + }, + "parent_node_id": "node_2658", + "improvement_over_parent": null + }, + "node_2660": { + "node_id": "node_2660", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n Mass: 161.79 kg\n Factor of Safety: 0.87\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.79275682115008, + "fos_buckling": 0.8731299955921148, + "fos_yielding": 4.848743206032786, + "deflection": 0.017635791270866733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004190)" + }, + "parent_node_id": "node_2659", + "improvement_over_parent": null + }, + "node_2661": { + "node_id": "node_2661", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n Mass: 210.70 kg\n Factor of Safety: 1.11\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.69720096820336, + "fos_buckling": 1.1148846960979417, + "fos_yielding": 6.321437995286315, + "deflection": 0.013616464896563183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_2660", + "improvement_over_parent": null + }, + "node_2662": { + "node_id": "node_2662", + "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0085)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n\nPerformance:\n Mass: 217.61 kg\n Factor of Safety: 1.13\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.61442826276522, + "fos_buckling": 1.1261387811809513, + "fos_yielding": 6.299447102833849, + "deflection": 0.013446836245942218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.490)" + }, + "parent_node_id": "node_2661", + "improvement_over_parent": null + }, + "node_2663": { + "node_id": "node_2663", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0101)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 254.71 kg\n Factor of Safety: 1.30\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.7102454295618, + "fos_buckling": 1.299585113860443, + "fos_yielding": 7.386108908663684, + "deflection": 0.011528348518379104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2662", + "improvement_over_parent": null + }, + "node_2664": { + "node_id": "node_2664", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2663", + "improvement_over_parent": null + }, + "node_2665": { + "node_id": "node_2665", + "content": "INITIAL DESIGN (Trace 377)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 140.43 kg\n Factor of Safety: 0.23\n Max Deflection: 9.25e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.4347722644396, + "fos_buckling": 0.22924897521207563, + "fos_yielding": 1.311396338818644, + "deflection": 92539907382892.1, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2666": { + "node_id": "node_2666", + "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 144.95 kg\n Factor of Safety: 0.41\n Max Deflection: 4.25e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.94926783327654, + "fos_buckling": 0.4061485996471962, + "fos_yielding": 1.6949155087519892, + "deflection": 42524157180073.64, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.541)" + }, + "parent_node_id": "node_2665", + "improvement_over_parent": null + }, + "node_2667": { + "node_id": "node_2667", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 157.30 kg\n Factor of Safety: 0.29\n Max Deflection: 7.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.2960369833555, + "fos_buckling": 0.28977770504144573, + "fos_yielding": 2.0771690213638587, + "deflection": 0.07343454763357996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004445)" + }, + "parent_node_id": "node_2666", + "improvement_over_parent": null + }, + "node_2668": { + "node_id": "node_2668", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n Mass: 200.12 kg\n Factor of Safety: 0.35\n Max Deflection: 5.81e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.12218809642727, + "fos_buckling": 0.35456239586961336, + "fos_yielding": 2.6239826151210535, + "deflection": 0.0580604671467414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_2667", + "improvement_over_parent": null + }, + "node_2669": { + "node_id": "node_2669", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n\nPerformance:\n Mass: 222.30 kg\n Factor of Safety: 1.36\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.3046268084662, + "fos_buckling": 1.356946664401427, + "fos_yielding": 6.556260007449158, + "deflection": 0.013005282989876646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007108)" + }, + "parent_node_id": "node_2668", + "improvement_over_parent": null + }, + "node_2670": { + "node_id": "node_2670", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 222.93 kg\n Factor of Safety: 1.39\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.9267198659172, + "fos_buckling": 1.3875907932427276, + "fos_yielding": 6.835081740003571, + "deflection": 0.012965758775482684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001866)" + }, + "parent_node_id": "node_2669", + "improvement_over_parent": null + }, + "node_2671": { + "node_id": "node_2671", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.34766911047612, + "fos_buckling": 1.5340094595352989, + "fos_yielding": 7.739757944549915, + "deflection": 0.011492503407596928, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_2670", + "improvement_over_parent": null + }, + "node_2672": { + "node_id": "node_2672", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2671", + "improvement_over_parent": null + }, + "node_2673": { + "node_id": "node_2673", + "content": "INITIAL DESIGN (Trace 378)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 140.52 kg\n Factor of Safety: 0.32\n Max Deflection: 4.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.52135768646087, + "fos_buckling": 0.3193668180168566, + "fos_yielding": 1.2860713406664375, + "deflection": 0.0416931950881474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2674": { + "node_id": "node_2674", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 160.85 kg\n Factor of Safety: 0.36\n Max Deflection: 3.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.84991201858344, + "fos_buckling": 0.3587684037861654, + "fos_yielding": 1.4678672746177601, + "deflection": 0.036517227094716824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2673", + "improvement_over_parent": null + }, + "node_2675": { + "node_id": "node_2675", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n\nPerformance:\n Mass: 175.76 kg\n Factor of Safety: 0.36\n Max Deflection: 3.09e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.75622026618123, + "fos_buckling": 0.35824746017348963, + "fos_yielding": 1.4657517173152828, + "deflection": 0.030891264627560262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005398)" + }, + "parent_node_id": "node_2674", + "improvement_over_parent": null + }, + "node_2676": { + "node_id": "node_2676", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n Mass: 188.66 kg\n Factor of Safety: 0.96\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.66442202375973, + "fos_buckling": 0.964195998300266, + "fos_yielding": 5.867557463937641, + "deflection": 0.01585828998154036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.003999)" + }, + "parent_node_id": "node_2675", + "improvement_over_parent": null + }, + "node_2677": { + "node_id": "node_2677", + "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n Mass: 188.76 kg\n Factor of Safety: 0.97\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.7587410217458, + "fos_buckling": 0.9665306224341998, + "fos_yielding": 5.881764680402655, + "deflection": 0.01585285576407012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.188)" + }, + "parent_node_id": "node_2676", + "improvement_over_parent": null + }, + "node_2678": { + "node_id": "node_2678", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n\nPerformance:\n Mass: 189.45 kg\n Factor of Safety: 0.97\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.45209683002437, + "fos_buckling": 0.9670128298592373, + "fos_yielding": 5.88469912503936, + "deflection": 0.015758134601758338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.541)" + }, + "parent_node_id": "node_2677", + "improvement_over_parent": null + }, + "node_2679": { + "node_id": "node_2679", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0048)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0025)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n\nPerformance:\n Mass: 244.97 kg\n Factor of Safety: 1.22\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.96588805174594, + "fos_buckling": 1.2162066379810785, + "fos_yielding": 7.597196164396827, + "deflection": 0.012252043821256315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_2678", + "improvement_over_parent": null + }, + "node_2680": { + "node_id": "node_2680", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2679", + "improvement_over_parent": null + }, + "node_2681": { + "node_id": "node_2681", + "content": "INITIAL DESIGN (Trace 379)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 177.26 kg\n Factor of Safety: 1.15\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.26047515161713, + "fos_buckling": 1.1463641880044362, + "fos_yielding": 5.290551844743601, + "deflection": 0.01617797093210281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2682": { + "node_id": "node_2682", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 199.38 kg\n Factor of Safety: 1.27\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.38065689997143, + "fos_buckling": 1.2670070203306085, + "fos_yielding": 5.951518832143437, + "deflection": 0.014419414656676304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2681", + "improvement_over_parent": null + }, + "node_2683": { + "node_id": "node_2683", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 224.91 kg\n Factor of Safety: 1.40\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.90701309086197, + "fos_buckling": 1.400187921924966, + "fos_yielding": 6.714438523755984, + "deflection": 0.012820002072547904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_2682", + "improvement_over_parent": null + }, + "node_2684": { + "node_id": "node_2684", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 225.25 kg\n Factor of Safety: 1.41\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.2531825096601, + "fos_buckling": 1.4088297797665699, + "fos_yielding": 6.662595648239749, + "deflection": 0.012775543006793406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.238)" + }, + "parent_node_id": "node_2683", + "improvement_over_parent": null + }, + "node_2685": { + "node_id": "node_2685", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 225.89 kg\n Factor of Safety: 1.33\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.8899899633253, + "fos_buckling": 1.3309117521891587, + "fos_yielding": 6.877442117476039, + "deflection": 0.012751534367581861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001914)" + }, + "parent_node_id": "node_2684", + "improvement_over_parent": null + }, + "node_2686": { + "node_id": "node_2686", + "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0070)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 228.48 kg\n Factor of Safety: 1.33\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.48139514888396, + "fos_buckling": 1.326149194050883, + "fos_yielding": 6.888514797004476, + "deflection": 0.012693957437016967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.178)" + }, + "parent_node_id": "node_2685", + "improvement_over_parent": null + }, + "node_2687": { + "node_id": "node_2687", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0078)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.59 kg\n Factor of Safety: 1.45\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.58591750206386, + "fos_buckling": 1.446297445280527, + "fos_yielding": 7.619179135480502, + "deflection": 0.01151276710687956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2686", + "improvement_over_parent": null + }, + "node_2688": { + "node_id": "node_2688", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2687", + "improvement_over_parent": null + }, + "node_2689": { + "node_id": "node_2689", + "content": "INITIAL DESIGN (Trace 380)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 178.84 kg\n Factor of Safety: 0.69\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.8351739672943, + "fos_buckling": 0.6923518632904693, + "fos_yielding": 4.124198712851042, + "deflection": 0.018926941722314582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2690": { + "node_id": "node_2690", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n\nPerformance:\n Mass: 188.96 kg\n Factor of Safety: 1.07\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.9621002039378, + "fos_buckling": 1.0746733011795337, + "fos_yielding": 5.588312864367829, + "deflection": 0.015114663604108538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003493)" + }, + "parent_node_id": "node_2689", + "improvement_over_parent": null + }, + "node_2691": { + "node_id": "node_2691", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n Mass: 189.50 kg\n Factor of Safety: 1.02\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.5030530750369, + "fos_buckling": 1.0226509556440353, + "fos_yielding": 5.69162464068143, + "deflection": 0.015104524600239554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001605)" + }, + "parent_node_id": "node_2690", + "improvement_over_parent": null + }, + "node_2692": { + "node_id": "node_2692", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 218.56 kg\n Factor of Safety: 1.17\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.55554134158547, + "fos_buckling": 1.1651335467805775, + "fos_yielding": 6.568477108105503, + "deflection": 0.01313926296508823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_2691", + "improvement_over_parent": null + }, + "node_2693": { + "node_id": "node_2693", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 247.05 kg\n Factor of Safety: 1.30\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.04782638357466, + "fos_buckling": 1.30108895624916, + "fos_yielding": 7.429601451352672, + "deflection": 0.011660876075409148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_2692", + "improvement_over_parent": null + }, + "node_2694": { + "node_id": "node_2694", + "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0098)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 254.45 kg\n Factor of Safety: 1.31\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.4467225682981, + "fos_buckling": 1.3134859411759137, + "fos_yielding": 7.405123530295015, + "deflection": 0.011525623265884135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.458)" + }, + "parent_node_id": "node_2693", + "improvement_over_parent": null + }, + "node_2695": { + "node_id": "node_2695", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2694", + "improvement_over_parent": null + }, + "node_2696": { + "node_id": "node_2696", + "content": "INITIAL DESIGN (Trace 381)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n Mass: 163.75 kg\n Factor of Safety: 0.59\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.74758508918097, + "fos_buckling": 0.590242412995822, + "fos_yielding": 4.259589507459936, + "deflection": 0.023965553647549747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2697": { + "node_id": "node_2697", + "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n Mass: 166.48 kg\n Factor of Safety: 0.59\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.4796406154795, + "fos_buckling": 0.5864366273157735, + "fos_yielding": 4.2562617019070395, + "deflection": 0.023954247426358086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.314)" + }, + "parent_node_id": "node_2696", + "improvement_over_parent": null + }, + "node_2698": { + "node_id": "node_2698", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 188.45 kg\n Factor of Safety: 0.65\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.4457175029684, + "fos_buckling": 0.6528777560621455, + "fos_yielding": 4.793830631364166, + "deflection": 0.021206139880770095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2697", + "improvement_over_parent": null + }, + "node_2699": { + "node_id": "node_2699", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 203.60 kg\n Factor of Safety: 0.68\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.59900231414946, + "fos_buckling": 0.6754989084976236, + "fos_yielding": 3.6445369857053103, + "deflection": 0.019260271927893233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005393)" + }, + "parent_node_id": "node_2698", + "improvement_over_parent": null + }, + "node_2700": { + "node_id": "node_2700", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n\nPerformance:\n Mass: 205.67 kg\n Factor of Safety: 1.30\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.6714033767063, + "fos_buckling": 1.2977780776571126, + "fos_yielding": 6.300474861092298, + "deflection": 0.014025904635431451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003248)" + }, + "parent_node_id": "node_2699", + "improvement_over_parent": null + }, + "node_2701": { + "node_id": "node_2701", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.87 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.86506128146735, + "fos_buckling": 1.5364627622115594, + "fos_yielding": 7.750498800377766, + "deflection": 0.01146965527991981, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2700", + "improvement_over_parent": null + }, + "node_2702": { + "node_id": "node_2702", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2701", + "improvement_over_parent": null + }, + "node_2703": { + "node_id": "node_2703", + "content": "INITIAL DESIGN (Trace 382)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 223.54 kg\n Factor of Safety: 0.92\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.53840102276516, + "fos_buckling": 0.9170519199907379, + "fos_yielding": 6.818704525158864, + "deflection": 0.015330489175803543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2704": { + "node_id": "node_2704", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 229.31 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.3076325564038, + "fos_buckling": 0.9162836145337389, + "fos_yielding": 6.812991819278044, + "deflection": 0.01482443035261445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.311)" + }, + "parent_node_id": "node_2703", + "improvement_over_parent": null + }, + "node_2705": { + "node_id": "node_2705", + "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 232.50 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.5013773854943, + "fos_buckling": 0.9158588475189905, + "fos_yielding": 6.809833480363458, + "deflection": 0.014755257058779265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.224)" + }, + "parent_node_id": "node_2704", + "improvement_over_parent": null + }, + "node_2706": { + "node_id": "node_2706", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 251.77 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.7676182064016, + "fos_buckling": 1.497522285953924, + "fos_yielding": 7.427479362305761, + "deflection": 0.011522164833844191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_2705", + "improvement_over_parent": null + }, + "node_2707": { + "node_id": "node_2707", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47193905332264, + "fos_buckling": 1.5345728930511824, + "fos_yielding": 7.74433462028782, + "deflection": 0.011487310224916341, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_2706", + "improvement_over_parent": null + }, + "node_2708": { + "node_id": "node_2708", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2707", + "improvement_over_parent": null + }, + "node_2709": { + "node_id": "node_2709", + "content": "INITIAL DESIGN (Trace 383)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 101.42 kg\n Factor of Safety: 0.23\n Max Deflection: 6.15e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.41791615771669, + "fos_buckling": 0.23367881256260128, + "fos_yielding": 0.6200671035468808, + "deflection": 0.061537164467486964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2710": { + "node_id": "node_2710", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 128.57 kg\n Factor of Safety: 0.29\n Max Deflection: 4.87e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.57462144507818, + "fos_buckling": 0.28923224810474185, + "fos_yielding": 0.7828389569187373, + "deflection": 0.04873355779151209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2709", + "improvement_over_parent": null + }, + "node_2711": { + "node_id": "node_2711", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n\nPerformance:\n Mass: 137.48 kg\n Factor of Safety: 0.29\n Max Deflection: 3.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.4834540088859, + "fos_buckling": 0.2891062830059179, + "fos_yielding": 1.1510249453488124, + "deflection": 0.0392837160886571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003634)" + }, + "parent_node_id": "node_2710", + "improvement_over_parent": null + }, + "node_2712": { + "node_id": "node_2712", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n Mass: 165.08 kg\n Factor of Safety: 0.34\n Max Deflection: 3.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.08229957793924, + "fos_buckling": 0.3391488793987698, + "fos_yielding": 1.3768385986338607, + "deflection": 0.032830465700578876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_2711", + "improvement_over_parent": null + }, + "node_2713": { + "node_id": "node_2713", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n\nPerformance:\n Mass: 183.33 kg\n Factor of Safety: 1.18\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.33131706150198, + "fos_buckling": 1.1771466494308103, + "fos_yielding": 5.618313545573544, + "deflection": 0.0156947244071415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005762)" + }, + "parent_node_id": "node_2712", + "improvement_over_parent": null + }, + "node_2714": { + "node_id": "node_2714", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n\nPerformance:\n Mass: 207.50 kg\n Factor of Safety: 1.31\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.5022243444944, + "fos_buckling": 1.3073458402180342, + "fos_yielding": 6.3608106625036545, + "deflection": 0.01390489897787323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2713", + "improvement_over_parent": null + }, + "node_2715": { + "node_id": "node_2715", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47522415900644, + "fos_buckling": 1.5344774659269558, + "fos_yielding": 7.743417256235992, + "deflection": 0.011486725590430824, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2714", + "improvement_over_parent": null + }, + "node_2716": { + "node_id": "node_2716", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2715", + "improvement_over_parent": null + }, + "node_2717": { + "node_id": "node_2717", + "content": "INITIAL DESIGN (Trace 384)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 215.55 kg\n Factor of Safety: 1.25\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.55480938130125, + "fos_buckling": 1.2468169616925562, + "fos_yielding": 5.158029399646835, + "deflection": 0.013477660190551025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2718": { + "node_id": "node_2718", + "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 215.95 kg\n Factor of Safety: 1.23\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.95214692584747, + "fos_buckling": 1.2346889592574954, + "fos_yielding": 5.107856362993474, + "deflection": 0.013421952615776332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.297)" + }, + "parent_node_id": "node_2717", + "improvement_over_parent": null + }, + "node_2719": { + "node_id": "node_2719", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 216.52 kg\n Factor of Safety: 1.29\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.52130369236423, + "fos_buckling": 1.290952528521247, + "fos_yielding": 6.692089529782691, + "deflection": 0.01328525572505423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.376)" + }, + "parent_node_id": "node_2718", + "improvement_over_parent": null + }, + "node_2720": { + "node_id": "node_2720", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 250.06 kg\n Factor of Safety: 1.46\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.05741809442273, + "fos_buckling": 1.4558618232429092, + "fos_yielding": 7.730705563547841, + "deflection": 0.011548274132200031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2719", + "improvement_over_parent": null + }, + "node_2721": { + "node_id": "node_2721", + "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55275260263463, + "fos_buckling": 1.5349668329969763, + "fos_yielding": 7.7474644483141155, + "deflection": 0.01148339332862189, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.224)" + }, + "parent_node_id": "node_2720", + "improvement_over_parent": null + }, + "node_2722": { + "node_id": "node_2722", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2721", + "improvement_over_parent": null + }, + "node_2723": { + "node_id": "node_2723", + "content": "INITIAL DESIGN (Trace 385)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2724": { + "node_id": "node_2724", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 214.71 kg\n Factor of Safety: 0.85\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.71167959499098, + "fos_buckling": 0.8458423426102611, + "fos_yielding": 6.815698756504969, + "deflection": 0.020641487320421113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2723", + "improvement_over_parent": null + }, + "node_2725": { + "node_id": "node_2725", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 215.42 kg\n Factor of Safety: 0.85\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.41600044191202, + "fos_buckling": 0.845616065972337, + "fos_yielding": 5.377748025362341, + "deflection": 0.01636296600979223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_2724", + "improvement_over_parent": null + }, + "node_2726": { + "node_id": "node_2726", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 234.68 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.68224126281933, + "fos_buckling": 0.8440718921573701, + "fos_yielding": 5.043627791752772, + "deflection": 0.013143162718259707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_2725", + "improvement_over_parent": null + }, + "node_2727": { + "node_id": "node_2727", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47371695122376, + "fos_buckling": 1.534573719219384, + "fos_yielding": 7.744456960318407, + "deflection": 0.011486919087280497, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_2726", + "improvement_over_parent": null + }, + "node_2728": { + "node_id": "node_2728", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2727", + "improvement_over_parent": null + }, + "node_2729": { + "node_id": "node_2729", + "content": "INITIAL DESIGN (Trace 386)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 216.95 kg\n Factor of Safety: 0.90\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.9450276931093, + "fos_buckling": 0.902671224352387, + "fos_yielding": 3.996083294171815, + "deflection": 0.015172160743692445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2730": { + "node_id": "node_2730", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 233.62 kg\n Factor of Safety: 1.13\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.61531149936638, + "fos_buckling": 1.126060385109631, + "fos_yielding": 5.577168028882717, + "deflection": 0.013305960334703321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2729", + "improvement_over_parent": null + }, + "node_2731": { + "node_id": "node_2731", + "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 242.68 kg\n Factor of Safety: 1.12\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.677554581585, + "fos_buckling": 1.1191402696316441, + "fos_yielding": 5.542893981673209, + "deflection": 0.012291261881722233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.582)" + }, + "parent_node_id": "node_2730", + "improvement_over_parent": null + }, + "node_2732": { + "node_id": "node_2732", + "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 242.89 kg\n Factor of Safety: 1.12\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.89440343556578, + "fos_buckling": 1.1188573611813488, + "fos_yielding": 5.541492788642221, + "deflection": 0.012288146099338905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.488)" + }, + "parent_node_id": "node_2731", + "improvement_over_parent": null + }, + "node_2733": { + "node_id": "node_2733", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 243.65 kg\n Factor of Safety: 1.21\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.64512706768153, + "fos_buckling": 1.2132065249045172, + "fos_yielding": 7.103353688677759, + "deflection": 0.012158783215650894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.597)" + }, + "parent_node_id": "node_2732", + "improvement_over_parent": null + }, + "node_2734": { + "node_id": "node_2734", + "content": "MODIFICATION: Increase 10 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4783110207194, + "fos_buckling": 1.5347983256071591, + "fos_yielding": 7.744484448152319, + "deflection": 0.011486729678888865, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.529)" + }, + "parent_node_id": "node_2733", + "improvement_over_parent": null + }, + "node_2735": { + "node_id": "node_2735", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2734", + "improvement_over_parent": null + }, + "node_2736": { + "node_id": "node_2736", + "content": "INITIAL DESIGN (Trace 387)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 213.66 kg\n Factor of Safety: 0.68\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.6585990797275, + "fos_buckling": 0.6785125854143236, + "fos_yielding": 3.8801274469365126, + "deflection": 0.01945821796616818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2737": { + "node_id": "node_2737", + "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 216.50 kg\n Factor of Safety: 0.68\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.502369404139, + "fos_buckling": 0.6784190426023197, + "fos_yielding": 3.8795959686285073, + "deflection": 0.019387062651304562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.209)" + }, + "parent_node_id": "node_2736", + "improvement_over_parent": null + }, + "node_2738": { + "node_id": "node_2738", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 243.64 kg\n Factor of Safety: 1.19\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.64089297252144, + "fos_buckling": 1.1870459241559608, + "fos_yielding": 7.388637103981797, + "deflection": 0.012375128604666124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2737", + "improvement_over_parent": null + }, + "node_2739": { + "node_id": "node_2739", + "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.48264324023302, + "fos_buckling": 1.5345010367479344, + "fos_yielding": 7.743712511445477, + "deflection": 0.011486099178410928, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.595)" + }, + "parent_node_id": "node_2738", + "improvement_over_parent": null + }, + "node_2740": { + "node_id": "node_2740", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2739", + "improvement_over_parent": null + }, + "node_2741": { + "node_id": "node_2741", + "content": "INITIAL DESIGN (Trace 388)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 191.88 kg\n Factor of Safety: 0.94\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.88018604505072, + "fos_buckling": 0.9418033266519114, + "fos_yielding": 4.567518999632658, + "deflection": 0.015378260076284907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2742": { + "node_id": "node_2742", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 192.45 kg\n Factor of Safety: 0.94\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.45026997690917, + "fos_buckling": 0.9379714896444512, + "fos_yielding": 4.548935514270285, + "deflection": 0.015273803753813946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001698)" + }, + "parent_node_id": "node_2741", + "improvement_over_parent": null + }, + "node_2743": { + "node_id": "node_2743", + "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 198.48 kg\n Factor of Safety: 1.06\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.48105661990684, + "fos_buckling": 1.0609390703385806, + "fos_yielding": 5.145298624555714, + "deflection": 0.014471546839763247, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.534)" + }, + "parent_node_id": "node_2742", + "improvement_over_parent": null + }, + "node_2744": { + "node_id": "node_2744", + "content": "MODIFICATION: Increase 6 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 199.09 kg\n Factor of Safety: 1.22\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.09182187767902, + "fos_buckling": 1.2240995330448803, + "fos_yielding": 6.225456981774, + "deflection": 0.014348821204755429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.590)" + }, + "parent_node_id": "node_2743", + "improvement_over_parent": null + }, + "node_2745": { + "node_id": "node_2745", + "content": "MODIFICATION: Increase 14 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0086)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 207.17 kg\n Factor of Safety: 1.29\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.16767110667956, + "fos_buckling": 1.2896345384588401, + "fos_yielding": 6.197264715366721, + "deflection": 0.014103230124728857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.605)" + }, + "parent_node_id": "node_2744", + "improvement_over_parent": null + }, + "node_2746": { + "node_id": "node_2746", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0108)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 255.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.7575541682498, + "fos_buckling": 1.533603791195005, + "fos_yielding": 7.66460653549019, + "deflection": 0.011476785449601214, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2745", + "improvement_over_parent": null + }, + "node_2747": { + "node_id": "node_2747", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2746", + "improvement_over_parent": null + }, + "node_2748": { + "node_id": "node_2748", + "content": "INITIAL DESIGN (Trace 389)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 149.79 kg\n Factor of Safety: 0.61\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.7892853008383, + "fos_buckling": 0.6112571809997724, + "fos_yielding": 3.493063046552337, + "deflection": 0.019581661120692446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2749": { + "node_id": "node_2749", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 188.29 kg\n Factor of Safety: 0.75\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.28800962929694, + "fos_buckling": 0.7467834375233703, + "fos_yielding": 4.382084278053399, + "deflection": 0.015639887494963995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2748", + "improvement_over_parent": null + }, + "node_2750": { + "node_id": "node_2750", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n Mass: 201.59 kg\n Factor of Safety: 1.28\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.5892650016428, + "fos_buckling": 1.2761652001984882, + "fos_yielding": 6.1807253328708285, + "deflection": 0.014302884103566236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004995)" + }, + "parent_node_id": "node_2749", + "improvement_over_parent": null + }, + "node_2751": { + "node_id": "node_2751", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.81 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.81116372693023, + "fos_buckling": 1.5362607916516846, + "fos_yielding": 7.755704040029139, + "deflection": 0.01147173632842696, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2750", + "improvement_over_parent": null + }, + "node_2752": { + "node_id": "node_2752", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2751", + "improvement_over_parent": null + }, + "node_2753": { + "node_id": "node_2753", + "content": "INITIAL DESIGN (Trace 390)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 193.50 kg\n Factor of Safety: 0.35\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.49715782684595, + "fos_buckling": 0.35301256660601915, + "fos_yielding": 4.547698256063673, + "deflection": 0.016772168845037613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2754": { + "node_id": "node_2754", + "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 197.70 kg\n Factor of Safety: 0.35\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.70231203451013, + "fos_buckling": 0.3525725704707563, + "fos_yielding": 4.546373889031677, + "deflection": 0.01576933322259822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.266)" + }, + "parent_node_id": "node_2753", + "improvement_over_parent": null + }, + "node_2755": { + "node_id": "node_2755", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n\nPerformance:\n Mass: 213.65 kg\n Factor of Safety: 1.34\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.6504832720981, + "fos_buckling": 1.339580875039033, + "fos_yielding": 6.549780767247404, + "deflection": 0.013513977702796004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005658)" + }, + "parent_node_id": "node_2754", + "improvement_over_parent": null + }, + "node_2756": { + "node_id": "node_2756", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3612534453773, + "fos_buckling": 1.5339551095463482, + "fos_yielding": 7.739954306575095, + "deflection": 0.011491549807165755, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2755", + "improvement_over_parent": null + }, + "node_2757": { + "node_id": "node_2757", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2756", + "improvement_over_parent": null + }, + "node_2758": { + "node_id": "node_2758", + "content": "INITIAL DESIGN (Trace 391)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 127.14 kg\n Factor of Safety: 0.27\n Max Deflection: 2.80e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.1400395276095, + "fos_buckling": 0.2713203193951924, + "fos_yielding": 3.5716210062261484, + "deflection": 0.02798928846682867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2759": { + "node_id": "node_2759", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n\nPerformance:\n Mass: 141.69 kg\n Factor of Safety: 0.27\n Max Deflection: 2.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.6862676384915, + "fos_buckling": 0.2709296265785906, + "fos_yielding": 3.371088136021489, + "deflection": 0.023223796864674406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004549)" + }, + "parent_node_id": "node_2758", + "improvement_over_parent": null + }, + "node_2760": { + "node_id": "node_2760", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n\nPerformance:\n Mass: 145.75 kg\n Factor of Safety: 0.27\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.74714343144055, + "fos_buckling": 0.27060328175157305, + "fos_yielding": 3.3701460752650094, + "deflection": 0.021305103089482576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.368)" + }, + "parent_node_id": "node_2759", + "improvement_over_parent": null + }, + "node_2761": { + "node_id": "node_2761", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n\nPerformance:\n Mass: 185.00 kg\n Factor of Safety: 0.33\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.99934968574928, + "fos_buckling": 0.33352659285611147, + "fos_yielding": 4.279395036267692, + "deflection": 0.016847847381108144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2760", + "improvement_over_parent": null + }, + "node_2762": { + "node_id": "node_2762", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 233.37 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.3680576057289, + "fos_buckling": 0.40527449513497155, + "fos_yielding": 5.40070848635937, + "deflection": 0.013417561706532279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2761", + "improvement_over_parent": null + }, + "node_2763": { + "node_id": "node_2763", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.22 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.2161056210411, + "fos_buckling": 1.524321573572471, + "fos_yielding": 7.796255859583342, + "deflection": 0.011516830616700089, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2762", + "improvement_over_parent": null + }, + "node_2764": { + "node_id": "node_2764", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.53846365447708, + "fos_buckling": 1.5348110997294813, + "fos_yielding": 7.745139361411439, + "deflection": 0.011483601769793626, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.196)" + }, + "parent_node_id": "node_2763", + "improvement_over_parent": null + }, + "node_2765": { + "node_id": "node_2765", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2764", + "improvement_over_parent": null + }, + "node_2766": { + "node_id": "node_2766", + "content": "INITIAL DESIGN (Trace 392)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 198.36 kg\n Factor of Safety: 0.62\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.359922509406, + "fos_buckling": 0.6206151776141322, + "fos_yielding": 3.4863819765011925, + "deflection": 0.02109025661816759, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2767": { + "node_id": "node_2767", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n Mass: 222.69 kg\n Factor of Safety: 1.40\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.69265290321655, + "fos_buckling": 1.4035470989562053, + "fos_yielding": 6.72796289940514, + "deflection": 0.01318753746844176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007229)" + }, + "parent_node_id": "node_2766", + "improvement_over_parent": null + }, + "node_2768": { + "node_id": "node_2768", + "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n Mass: 226.37 kg\n Factor of Safety: 1.41\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.36905757456432, + "fos_buckling": 1.4050669765802162, + "fos_yielding": 6.941603525135914, + "deflection": 0.012773704562739583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.202)" + }, + "parent_node_id": "node_2767", + "improvement_over_parent": null + }, + "node_2769": { + "node_id": "node_2769", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.33 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3264864923028, + "fos_buckling": 1.5338110446507902, + "fos_yielding": 7.739882659807222, + "deflection": 0.011493532110656594, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_2768", + "improvement_over_parent": null + }, + "node_2770": { + "node_id": "node_2770", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2769", + "improvement_over_parent": null + }, + "node_2771": { + "node_id": "node_2771", + "content": "INITIAL DESIGN (Trace 393)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 178.88 kg\n Factor of Safety: 0.37\n Max Deflection: 2.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.87554272053762, + "fos_buckling": 0.37396238117857933, + "fos_yielding": 1.5703958669794418, + "deflection": 0.02966570121045753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2772": { + "node_id": "node_2772", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 199.33 kg\n Factor of Safety: 1.26\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.32876769537953, + "fos_buckling": 1.2558892902216099, + "fos_yielding": 6.519121077072291, + "deflection": 0.014385864799768326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006511)" + }, + "parent_node_id": "node_2771", + "improvement_over_parent": null + }, + "node_2773": { + "node_id": "node_2773", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 244.83 kg\n Factor of Safety: 1.49\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.83260634836643, + "fos_buckling": 1.490447956812838, + "fos_yielding": 8.004498246089835, + "deflection": 0.01177403174048338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_2772", + "improvement_over_parent": null + }, + "node_2774": { + "node_id": "node_2774", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 248.07 kg\n Factor of Safety: 1.52\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 248.06901310926938, + "fos_buckling": 1.5152969187320373, + "fos_yielding": 7.7735602075113155, + "deflection": 0.011633558695403712, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.222)" + }, + "parent_node_id": "node_2773", + "improvement_over_parent": null + }, + "node_2775": { + "node_id": "node_2775", + "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.33 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.33090371037244, + "fos_buckling": 1.5338093683485943, + "fos_yielding": 7.741188284061746, + "deflection": 0.011493047382798275, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.420)" + }, + "parent_node_id": "node_2774", + "improvement_over_parent": null + }, + "node_2776": { + "node_id": "node_2776", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2775", + "improvement_over_parent": null + }, + "node_2777": { + "node_id": "node_2777", + "content": "INITIAL DESIGN (Trace 394)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 211.35 kg\n Factor of Safety: 1.10\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.35001862455735, + "fos_buckling": 1.1033120152074167, + "fos_yielding": 6.816893438067809, + "deflection": 0.013695515696125492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2778": { + "node_id": "node_2778", + "content": "MODIFICATION: Increase 11 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 214.66 kg\n Factor of Safety: 1.10\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.6630678431987, + "fos_buckling": 1.1033095200711582, + "fos_yielding": 6.620134611328698, + "deflection": 0.01350283055986885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.206)" + }, + "parent_node_id": "node_2777", + "improvement_over_parent": null + }, + "node_2779": { + "node_id": "node_2779", + "content": "MODIFICATION: Increase 15 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 220.78 kg\n Factor of Safety: 1.42\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.77500778579534, + "fos_buckling": 1.4171640120839717, + "fos_yielding": 6.57860234944645, + "deflection": 0.013247254058277008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.631)" + }, + "parent_node_id": "node_2778", + "improvement_over_parent": null + }, + "node_2780": { + "node_id": "node_2780", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 247.74 kg\n Factor of Safety: 1.56\n Max Deflection: 1.18e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 247.743068618894, + "fos_buckling": 1.5562878545593748, + "fos_yielding": 7.3856587829431835, + "deflection": 0.011839497880724156, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2779", + "improvement_over_parent": null + }, + "node_2781": { + "node_id": "node_2781", + "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.56129178181467, + "fos_buckling": 1.5351446647963203, + "fos_yielding": 7.7464257443333855, + "deflection": 0.01148344044740014, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.300)" + }, + "parent_node_id": "node_2780", + "improvement_over_parent": null + }, + "node_2782": { + "node_id": "node_2782", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2781", + "improvement_over_parent": null + }, + "node_2783": { + "node_id": "node_2783", + "content": "INITIAL DESIGN (Trace 395)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0043)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 134.12 kg\n Factor of Safety: 0.61\n Max Deflection: 2.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.12377036511506, + "fos_buckling": 0.6126255742050001, + "fos_yielding": 2.8460892047488158, + "deflection": 0.02687130920108946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2784": { + "node_id": "node_2784", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 159.71 kg\n Factor of Safety: 0.71\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.7065368784914, + "fos_buckling": 0.7128059305317826, + "fos_yielding": 3.3916381320300824, + "deflection": 0.022609643556894727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_2783", + "improvement_over_parent": null + }, + "node_2785": { + "node_id": "node_2785", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n\nPerformance:\n Mass: 176.88 kg\n Factor of Safety: 1.11\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.87720110347672, + "fos_buckling": 1.1141877323108353, + "fos_yielding": 5.464468979589946, + "deflection": 0.016454155126238903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005425)" + }, + "parent_node_id": "node_2784", + "improvement_over_parent": null + }, + "node_2786": { + "node_id": "node_2786", + "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n\nPerformance:\n Mass: 182.33 kg\n Factor of Safety: 1.12\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.33021647706119, + "fos_buckling": 1.1201701346562418, + "fos_yielding": 5.9402423846688714, + "deflection": 0.015625060131638373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.524)" + }, + "parent_node_id": "node_2785", + "improvement_over_parent": null + }, + "node_2787": { + "node_id": "node_2787", + "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0073)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n\nPerformance:\n Mass: 188.53 kg\n Factor of Safety: 1.20\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.53133100085407, + "fos_buckling": 1.1973094082518836, + "fos_yielding": 6.171782947205641, + "deflection": 0.015371191365608987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.493)" + }, + "parent_node_id": "node_2786", + "improvement_over_parent": null + }, + "node_2788": { + "node_id": "node_2788", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0083)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n\nPerformance:\n Mass: 213.62 kg\n Factor of Safety: 1.33\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.6158611161327, + "fos_buckling": 1.330796936829892, + "fos_yielding": 6.9910353249959405, + "deflection": 0.013602089521577404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_2787", + "improvement_over_parent": null + }, + "node_2789": { + "node_id": "node_2789", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0101)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n Mass: 255.64 kg\n Factor of Safety: 1.54\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.6401863269365, + "fos_buckling": 1.5411358103855055, + "fos_yielding": 8.362213551590749, + "deflection": 0.011416002712213026, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2788", + "improvement_over_parent": null + }, + "node_2790": { + "node_id": "node_2790", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2789", + "improvement_over_parent": null + }, + "node_2791": { + "node_id": "node_2791", + "content": "INITIAL DESIGN (Trace 396)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 187.50 kg\n Factor of Safety: 0.27\n Max Deflection: 6.64e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.5037146603877, + "fos_buckling": 0.26907075400178576, + "fos_yielding": 1.6949155087519892, + "deflection": 66391450164535.6, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2792": { + "node_id": "node_2792", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 206.12 kg\n Factor of Safety: 0.53\n Max Deflection: 5.33e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.119240716755, + "fos_buckling": 0.5278239380743426, + "fos_yielding": 0.8474577543759946, + "deflection": 53322302639480.89, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2791", + "improvement_over_parent": null + }, + "node_2793": { + "node_id": "node_2793", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 222.79 kg\n Factor of Safety: 0.30\n Max Deflection: 5.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.78952452301206, + "fos_buckling": 0.2996360040377997, + "fos_yielding": 1.1659667364290374, + "deflection": 0.05251833840985559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2792", + "improvement_over_parent": null + }, + "node_2794": { + "node_id": "node_2794", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 249.93 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.92804809139452, + "fos_buckling": 0.8024297187809, + "fos_yielding": 4.471611880596481, + "deflection": 0.015748432480521976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2793", + "improvement_over_parent": null + }, + "node_2795": { + "node_id": "node_2795", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47404025245666, + "fos_buckling": 1.5345046928593604, + "fos_yielding": 7.743837233118588, + "deflection": 0.011486976910635613, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2794", + "improvement_over_parent": null + }, + "node_2796": { + "node_id": "node_2796", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2795", + "improvement_over_parent": null + }, + "node_2797": { + "node_id": "node_2797", + "content": "INITIAL DESIGN (Trace 397)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 202.16 kg\n Factor of Safety: 0.40\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.1619483098122, + "fos_buckling": 0.40335331639142863, + "fos_yielding": 3.8798279803895763, + "deflection": 0.020587811446432486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2798": { + "node_id": "node_2798", + "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 206.51 kg\n Factor of Safety: 0.40\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.51391487737487, + "fos_buckling": 0.4031255924532703, + "fos_yielding": 3.8782019937310084, + "deflection": 0.02059578258786836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.264)" + }, + "parent_node_id": "node_2797", + "improvement_over_parent": null + }, + "node_2799": { + "node_id": "node_2799", + "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 206.62 kg\n Factor of Safety: 0.46\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.616050531981, + "fos_buckling": 0.45863821575367925, + "fos_yielding": 3.8781638500600604, + "deflection": 0.020577482327915328, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.221)" + }, + "parent_node_id": "node_2798", + "improvement_over_parent": null + }, + "node_2800": { + "node_id": "node_2800", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 233.75 kg\n Factor of Safety: 0.40\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.75457410036344, + "fos_buckling": 0.4001361753817966, + "fos_yielding": 5.825121124831368, + "deflection": 0.01355390711332713, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2799", + "improvement_over_parent": null + }, + "node_2801": { + "node_id": "node_2801", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 233.86 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.85805192202756, + "fos_buckling": 0.44621166629160625, + "fos_yielding": 5.824894760613052, + "deflection": 0.013535596730913813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.189)" + }, + "parent_node_id": "node_2800", + "improvement_over_parent": null + }, + "node_2802": { + "node_id": "node_2802", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47357797839487, + "fos_buckling": 1.5345116957132612, + "fos_yielding": 7.744484997210733, + "deflection": 0.011486966968170292, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2801", + "improvement_over_parent": null + }, + "node_2803": { + "node_id": "node_2803", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2802", + "improvement_over_parent": null + }, + "node_2804": { + "node_id": "node_2804", + "content": "INITIAL DESIGN (Trace 398)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0029)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0032)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0024)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0027)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0031)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0014)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0015)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0008)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0029)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0026)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0025)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0026)]\n\nPerformance:\n Mass: 84.00 kg\n Factor of Safety: 0.31\n Max Deflection: 4.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 83.99895798315883, + "fos_buckling": 0.30658876984220856, + "fos_yielding": 1.588808569389926, + "deflection": 0.047556023112117415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2805": { + "node_id": "node_2805", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0039)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0030)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0031)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 101.58 kg\n Factor of Safety: 0.37\n Max Deflection: 3.94e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.57914425030626, + "fos_buckling": 0.36503764502911684, + "fos_yielding": 1.9169587512095938, + "deflection": 0.03939623148220457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2804", + "improvement_over_parent": null + }, + "node_2806": { + "node_id": "node_2806", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 123.50 kg\n Factor of Safety: 0.44\n Max Deflection: 3.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.4991259705869, + "fos_buckling": 0.435176612411802, + "fos_yielding": 2.324028984180531, + "deflection": 0.032476236195126885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_2805", + "improvement_over_parent": null + }, + "node_2807": { + "node_id": "node_2807", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 140.04 kg\n Factor of Safety: 0.49\n Max Deflection: 2.87e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.03807182159525, + "fos_buckling": 0.48609681037843744, + "fos_yielding": 2.6296479113094353, + "deflection": 0.02868891739403302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2806", + "improvement_over_parent": null + }, + "node_2808": { + "node_id": "node_2808", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 180.06 kg\n Factor of Safety: 0.60\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.0636307314379, + "fos_buckling": 0.6022610747694924, + "fos_yielding": 3.3639087676594106, + "deflection": 0.02240255628459122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_2807", + "improvement_over_parent": null + }, + "node_2809": { + "node_id": "node_2809", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 208.75 kg\n Factor of Safety: 0.68\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.74706786228114, + "fos_buckling": 0.6794072411481884, + "fos_yielding": 3.885484641235641, + "deflection": 0.019380386566812055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2808", + "improvement_over_parent": null + }, + "node_2810": { + "node_id": "node_2810", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 235.89 kg\n Factor of Safety: 0.90\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.8855914306636, + "fos_buckling": 0.9022138223918386, + "fos_yielding": 5.476597083596082, + "deflection": 0.01254528032948813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2809", + "improvement_over_parent": null + }, + "node_2811": { + "node_id": "node_2811", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55587523692066, + "fos_buckling": 1.5346338111703257, + "fos_yielding": 7.747108079632224, + "deflection": 0.011483289646223551, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2810", + "improvement_over_parent": null + }, + "node_2812": { + "node_id": "node_2812", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2811", + "improvement_over_parent": null + }, + "node_2813": { + "node_id": "node_2813", + "content": "INITIAL DESIGN (Trace 399)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 165.77 kg\n Factor of Safety: 0.34\n Max Deflection: 3.27e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.76817150503703, + "fos_buckling": 0.3403691249856813, + "fos_yielding": 1.3824057408118118, + "deflection": 0.03269678665722004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2814": { + "node_id": "node_2814", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 183.34 kg\n Factor of Safety: 0.37\n Max Deflection: 2.96e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.3410011016227, + "fos_buckling": 0.3708232980782075, + "fos_yielding": 1.525266157896712, + "deflection": 0.029628402323740383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_2813", + "improvement_over_parent": null + }, + "node_2815": { + "node_id": "node_2815", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n\nPerformance:\n Mass: 203.59 kg\n Factor of Safety: 1.29\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.58986250313004, + "fos_buckling": 1.286807005002512, + "fos_yielding": 6.242320375332151, + "deflection": 0.014166322029887816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006441)" + }, + "parent_node_id": "node_2814", + "improvement_over_parent": null + }, + "node_2816": { + "node_id": "node_2816", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5409568778069, + "fos_buckling": 1.5349608729148057, + "fos_yielding": 7.747538323690438, + "deflection": 0.011484254199794416, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2815", + "improvement_over_parent": null + }, + "node_2817": { + "node_id": "node_2817", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2816", + "improvement_over_parent": null + }, + "node_2818": { + "node_id": "node_2818", + "content": "INITIAL DESIGN (Trace 400)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 199.76 kg\n Factor of Safety: 0.72\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.7634343876534, + "fos_buckling": 0.7155243801762753, + "fos_yielding": 5.295594682637213, + "deflection": 0.02160023162735239, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2819": { + "node_id": "node_2819", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n\nPerformance:\n Mass: 221.67 kg\n Factor of Safety: 0.78\n Max Deflection: 1.95e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.66503230652881, + "fos_buckling": 0.7766020763072438, + "fos_yielding": 5.844990298610192, + "deflection": 0.019535525478459215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2818", + "improvement_over_parent": null + }, + "node_2820": { + "node_id": "node_2820", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 222.37 kg\n Factor of Safety: 0.45\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.36935315344985, + "fos_buckling": 0.4509836761425624, + "fos_yielding": 5.843440146463387, + "deflection": 0.014749799613182612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_2819", + "improvement_over_parent": null + }, + "node_2821": { + "node_id": "node_2821", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 240.98 kg\n Factor of Safety: 1.49\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.98487920981717, + "fos_buckling": 1.485724765646776, + "fos_yielding": 7.13212966361243, + "deflection": 0.012197241814660588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2820", + "improvement_over_parent": null + }, + "node_2822": { + "node_id": "node_2822", + "content": "MODIFICATION: Increase 14 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.20 kg\n Factor of Safety: 1.49\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.20114029821013, + "fos_buckling": 1.48540985534983, + "fos_yielding": 7.153129406892551, + "deflection": 0.012194105694101684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.350)" + }, + "parent_node_id": "node_2821", + "improvement_over_parent": null + }, + "node_2823": { + "node_id": "node_2823", + "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.51 kg\n Factor of Safety: 1.50\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.51114811104276, + "fos_buckling": 1.498414413403419, + "fos_yielding": 7.7448047754149725, + "deflection": 0.011588813739655323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.529)" + }, + "parent_node_id": "node_2822", + "improvement_over_parent": null + }, + "node_2824": { + "node_id": "node_2824", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2823", + "improvement_over_parent": null + }, + "node_2825": { + "node_id": "node_2825", + "content": "INITIAL DESIGN (Trace 401)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2826": { + "node_id": "node_2826", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n\nPerformance:\n Mass: 185.05 kg\n Factor of Safety: 0.70\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.0549113085661, + "fos_buckling": 0.6970460132050113, + "fos_yielding": 5.127884204133599, + "deflection": 0.020155343902653767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006503)" + }, + "parent_node_id": "node_2825", + "improvement_over_parent": null + }, + "node_2827": { + "node_id": "node_2827", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n\nPerformance:\n Mass: 201.87 kg\n Factor of Safety: 0.69\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.86843774769451, + "fos_buckling": 0.6922315570004918, + "fos_yielding": 5.119731822021449, + "deflection": 0.019821102647625176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006146)" + }, + "parent_node_id": "node_2826", + "improvement_over_parent": null + }, + "node_2828": { + "node_id": "node_2828", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 231.27 kg\n Factor of Safety: 0.78\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.26813676738018, + "fos_buckling": 0.775094627692258, + "fos_yielding": 5.826594419350795, + "deflection": 0.017349470800125787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2827", + "improvement_over_parent": null + }, + "node_2829": { + "node_id": "node_2829", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 233.81 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.81412892844233, + "fos_buckling": 0.4459234030580106, + "fos_yielding": 5.823808927840001, + "deflection": 0.0135381198277593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2828", + "improvement_over_parent": null + }, + "node_2830": { + "node_id": "node_2830", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.43 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.42965498480964, + "fos_buckling": 1.5343519007364923, + "fos_yielding": 7.743720330339071, + "deflection": 0.011488938494135015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2829", + "improvement_over_parent": null + }, + "node_2831": { + "node_id": "node_2831", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2830", + "improvement_over_parent": null + }, + "node_2832": { + "node_id": "node_2832", + "content": "INITIAL DESIGN (Trace 402)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 189.37 kg\n Factor of Safety: 0.77\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.37061169958042, + "fos_buckling": 0.7742207979891159, + "fos_yielding": 4.817367419794923, + "deflection": 0.01644965010119688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2833": { + "node_id": "node_2833", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 191.78 kg\n Factor of Safety: 0.77\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.77850817186726, + "fos_buckling": 0.7738640062386274, + "fos_yielding": 4.817723191973154, + "deflection": 0.016452223636850564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.244)" + }, + "parent_node_id": "node_2832", + "improvement_over_parent": null + }, + "node_2834": { + "node_id": "node_2834", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 192.20 kg\n Factor of Safety: 0.77\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.20091247591557, + "fos_buckling": 0.7738640062386267, + "fos_yielding": 4.782812864426346, + "deflection": 0.016396873714250706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.311)" + }, + "parent_node_id": "node_2833", + "improvement_over_parent": null + }, + "node_2835": { + "node_id": "node_2835", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n\nPerformance:\n Mass: 208.99 kg\n Factor of Safety: 0.77\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.9850956812141, + "fos_buckling": 0.7701530939020035, + "fos_yielding": 4.5087741085768, + "deflection": 0.01471205715543738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005980)" + }, + "parent_node_id": "node_2834", + "improvement_over_parent": null + }, + "node_2836": { + "node_id": "node_2836", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 234.66 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.6609791634611, + "fos_buckling": 0.8440163830970269, + "fos_yielding": 5.043834840043042, + "deflection": 0.013144253158815596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_2835", + "improvement_over_parent": null + }, + "node_2837": { + "node_id": "node_2837", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.45245485186553, + "fos_buckling": 1.534454421305002, + "fos_yielding": 7.743907549493143, + "deflection": 0.01148789733304092, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_2836", + "improvement_over_parent": null + }, + "node_2838": { + "node_id": "node_2838", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2837", + "improvement_over_parent": null + }, + "node_2839": { + "node_id": "node_2839", + "content": "INITIAL DESIGN (Trace 403)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 129.42 kg\n Factor of Safety: 0.21\n Max Deflection: 7.25e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.42254911847374, + "fos_buckling": 0.21260434771076134, + "fos_yielding": 0.7976072982362302, + "deflection": 7254966147311.018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2840": { + "node_id": "node_2840", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 155.24 kg\n Factor of Safety: 0.20\n Max Deflection: 1.66e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.23930692326078, + "fos_buckling": 0.19939176741858228, + "fos_yielding": 0.7532957816675507, + "deflection": 16564919061191.574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_2839", + "improvement_over_parent": null + }, + "node_2841": { + "node_id": "node_2841", + "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 157.36 kg\n Factor of Safety: 0.23\n Max Deflection: 5.23e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.3640470313524, + "fos_buckling": 0.23457854990421445, + "fos_yielding": 0.9039549380010609, + "deflection": 5225353545324.317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.225)" + }, + "parent_node_id": "node_2840", + "improvement_over_parent": null + }, + "node_2842": { + "node_id": "node_2842", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 175.64 kg\n Factor of Safety: 0.24\n Max Deflection: 1.29e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.6386858107419, + "fos_buckling": 0.24329823172675777, + "fos_yielding": 0.9685231478582794, + "deflection": 12854270135984.17, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_2841", + "improvement_over_parent": null + }, + "node_2843": { + "node_id": "node_2843", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n\nPerformance:\n Mass: 199.77 kg\n Factor of Safety: 0.40\n Max Deflection: 2.97e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.76684184531516, + "fos_buckling": 0.4022050835777055, + "fos_yielding": 1.6770682655316673, + "deflection": 0.029682845406865648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007163)" + }, + "parent_node_id": "node_2842", + "improvement_over_parent": null + }, + "node_2844": { + "node_id": "node_2844", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n Mass: 224.86 kg\n Factor of Safety: 0.44\n Max Deflection: 2.65e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.85517361829045, + "fos_buckling": 0.4427368925448405, + "fos_yielding": 1.8812578128265027, + "deflection": 0.02652233919105017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2843", + "improvement_over_parent": null + }, + "node_2845": { + "node_id": "node_2845", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 227.40 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.4011657793526, + "fos_buckling": 0.44251836558887553, + "fos_yielding": 1.8803381074795038, + "deflection": 0.02402102561118263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2844", + "improvement_over_parent": null + }, + "node_2846": { + "node_id": "node_2846", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.52330743119944, + "fos_buckling": 1.5352091753588943, + "fos_yielding": 7.745080539465734, + "deflection": 0.011484689920140198, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2845", + "improvement_over_parent": null + }, + "node_2847": { + "node_id": "node_2847", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2846", + "improvement_over_parent": null + }, + "node_2848": { + "node_id": "node_2848", + "content": "INITIAL DESIGN (Trace 404)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 130.37 kg\n Factor of Safety: 0.85\n Max Deflection: 1.44e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.3659904006659, + "fos_buckling": 0.8541786287677878, + "fos_yielding": 3.3898310175039783, + "deflection": 14397898576163.355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2849": { + "node_id": "node_2849", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n Mass: 140.19 kg\n Factor of Safety: 1.14\n Max Deflection: 1.40e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.18835813806666, + "fos_buckling": 1.1389048383570504, + "fos_yielding": 11.733172055560939, + "deflection": 14011775227671.143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004029)" + }, + "parent_node_id": "node_2848", + "improvement_over_parent": null + }, + "node_2850": { + "node_id": "node_2850", + "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n Mass: 148.90 kg\n Factor of Safety: 1.14\n Max Deflection: 9.57e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.9005064273546, + "fos_buckling": 1.1389048383570504, + "fos_yielding": 3.3898310175039783, + "deflection": 9571101546745.998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.527)" + }, + "parent_node_id": "node_2849", + "improvement_over_parent": null + }, + "node_2851": { + "node_id": "node_2851", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0080)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n\nPerformance:\n Mass: 165.66 kg\n Factor of Safety: 0.64\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.65958309049236, + "fos_buckling": 0.6378815651094029, + "fos_yielding": 3.566883360707535, + "deflection": 0.0179640552006326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005263)" + }, + "parent_node_id": "node_2850", + "improvement_over_parent": null + }, + "node_2852": { + "node_id": "node_2852", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0098)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n\nPerformance:\n Mass: 199.34 kg\n Factor of Safety: 0.75\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.34217376624545, + "fos_buckling": 0.7502032902738, + "fos_yielding": 4.290127046510796, + "deflection": 0.014973536200497142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2851", + "improvement_over_parent": null + }, + "node_2853": { + "node_id": "node_2853", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0098)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n Mass: 212.73 kg\n Factor of Safety: 1.08\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.72760960385028, + "fos_buckling": 1.0759860149799998, + "fos_yielding": 6.684848940505922, + "deflection": 0.013609838609390213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005029)" + }, + "parent_node_id": "node_2852", + "improvement_over_parent": null + }, + "node_2854": { + "node_id": "node_2854", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0124)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 264.40 kg\n Factor of Safety: 1.30\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.40083093572207, + "fos_buckling": 1.300691601227185, + "fos_yielding": 8.312338547720756, + "deflection": 0.011009798960481019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_2853", + "improvement_over_parent": null + }, + "node_2855": { + "node_id": "node_2855", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2854", + "improvement_over_parent": null + }, + "node_2856": { + "node_id": "node_2856", + "content": "INITIAL DESIGN (Trace 405)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 200.95 kg\n Factor of Safety: 0.62\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.9518042185322, + "fos_buckling": 0.6176975069282434, + "fos_yielding": 3.8813587461172077, + "deflection": 0.020974399101841505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2857": { + "node_id": "node_2857", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 228.09 kg\n Factor of Safety: 0.53\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.09032778691466, + "fos_buckling": 0.5285550394632522, + "fos_yielding": 5.8343730435855266, + "deflection": 0.013983642694382068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2856", + "improvement_over_parent": null + }, + "node_2858": { + "node_id": "node_2858", + "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 233.84 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.8392872594114, + "fos_buckling": 0.44617643354517544, + "fos_yielding": 5.824925855469803, + "deflection": 0.013536805528026458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.326)" + }, + "parent_node_id": "node_2857", + "improvement_over_parent": null + }, + "node_2859": { + "node_id": "node_2859", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.45481331577872, + "fos_buckling": 1.5345239564110231, + "fos_yielding": 7.745375790564782, + "deflection": 0.011488249431919716, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2858", + "improvement_over_parent": null + }, + "node_2860": { + "node_id": "node_2860", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2859", + "improvement_over_parent": null + }, + "node_2861": { + "node_id": "node_2861", + "content": "INITIAL DESIGN (Trace 406)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 179.27 kg\n Factor of Safety: 0.76\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.2733183896488, + "fos_buckling": 0.7593739554273311, + "fos_yielding": 5.445100490801822, + "deflection": 0.0194116660894493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2862": { + "node_id": "node_2862", + "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 185.42 kg\n Factor of Safety: 0.76\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.4239418928043, + "fos_buckling": 0.7586927856409336, + "fos_yielding": 5.4402161542878735, + "deflection": 0.018435728278515914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.451)" + }, + "parent_node_id": "node_2861", + "improvement_over_parent": null + }, + "node_2863": { + "node_id": "node_2863", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 233.39 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.38714646048987, + "fos_buckling": 0.916351781872374, + "fos_yielding": 6.814435530821562, + "deflection": 0.014726869233852262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2862", + "improvement_over_parent": null + }, + "node_2864": { + "node_id": "node_2864", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.65 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.6533872813972, + "fos_buckling": 1.5353262469685078, + "fos_yielding": 7.751358583260867, + "deflection": 0.011478834100301682, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_2863", + "improvement_over_parent": null + }, + "node_2865": { + "node_id": "node_2865", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2864", + "improvement_over_parent": null + }, + "node_2866": { + "node_id": "node_2866", + "content": "INITIAL DESIGN (Trace 407)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 207.55 kg\n Factor of Safety: 0.72\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.54577174370618, + "fos_buckling": 0.717480827195861, + "fos_yielding": 3.036427520327584, + "deflection": 0.018469274196978653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2867": { + "node_id": "node_2867", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 242.58 kg\n Factor of Safety: 0.82\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.58091686693646, + "fos_buckling": 0.8170239717304014, + "fos_yielding": 3.558241195160197, + "deflection": 0.01585018251230213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2866", + "improvement_over_parent": null + }, + "node_2868": { + "node_id": "node_2868", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 242.76 kg\n Factor of Safety: 0.81\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.76245427430052, + "fos_buckling": 0.8076008549471191, + "fos_yielding": 4.5189236108109405, + "deflection": 0.015757141286707587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.381)" + }, + "parent_node_id": "node_2867", + "improvement_over_parent": null + }, + "node_2869": { + "node_id": "node_2869", + "content": "MODIFICATION: Increase 10 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.89 kg\n Factor of Safety: 0.80\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.8915652132359, + "fos_buckling": 0.8023259587724302, + "fos_yielding": 4.47129314491848, + "deflection": 0.015750735600270797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.484)" + }, + "parent_node_id": "node_2868", + "improvement_over_parent": null + }, + "node_2870": { + "node_id": "node_2870", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.43755737429805, + "fos_buckling": 1.5344245935760343, + "fos_yielding": 7.743638988750357, + "deflection": 0.01148853784435413, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2869", + "improvement_over_parent": null + }, + "node_2871": { + "node_id": "node_2871", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2870", + "improvement_over_parent": null + }, + "node_2872": { + "node_id": "node_2872", + "content": "INITIAL DESIGN (Trace 408)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 182.98 kg\n Factor of Safety: 0.37\n Max Deflection: 2.34e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.9766363841985, + "fos_buckling": 0.3674575880936965, + "fos_yielding": 2.8082733742945463, + "deflection": 0.02340081801725902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2873": { + "node_id": "node_2873", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 206.62 kg\n Factor of Safety: 0.41\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.62184342922683, + "fos_buckling": 0.40651453318734315, + "fos_yielding": 3.1694924154933335, + "deflection": 0.020768953471430915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2872", + "improvement_over_parent": null + }, + "node_2874": { + "node_id": "node_2874", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 233.76 kg\n Factor of Safety: 0.41\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.76036699760928, + "fos_buckling": 0.40542511527687275, + "fos_yielding": 5.3779293267335655, + "deflection": 0.013383952303377217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2873", + "improvement_over_parent": null + }, + "node_2875": { + "node_id": "node_2875", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.60841501292148, + "fos_buckling": 1.534706542779975, + "fos_yielding": 7.747928862907544, + "deflection": 0.011480976202005264, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2874", + "improvement_over_parent": null + }, + "node_2876": { + "node_id": "node_2876", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2875", + "improvement_over_parent": null + }, + "node_2877": { + "node_id": "node_2877", + "content": "INITIAL DESIGN (Trace 409)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n Mass: 163.95 kg\n Factor of Safety: 0.02\n Max Deflection: 1.25e+15 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.95432603570856, + "fos_buckling": 0.015408873421106277, + "fos_yielding": 0.11527554049479469, + "deflection": 1250910034674469.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2878": { + "node_id": "node_2878", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n Mass: 164.51 kg\n Factor of Safety: 0.06\n Max Deflection: 5.22e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.50815152204734, + "fos_buckling": 0.055291958525735665, + "fos_yielding": 0.8474577543759945, + "deflection": 52224846951683.09, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001646)" + }, + "parent_node_id": "node_2877", + "improvement_over_parent": null + }, + "node_2879": { + "node_id": "node_2879", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 179.14 kg\n Factor of Safety: 0.70\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.14072253741236, + "fos_buckling": 0.6959036621611793, + "fos_yielding": 3.932343925466372, + "deflection": 0.01710885321170923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005194)" + }, + "parent_node_id": "node_2878", + "improvement_over_parent": null + }, + "node_2880": { + "node_id": "node_2880", + "content": "MODIFICATION: Increase 11 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 183.26 kg\n Factor of Safety: 0.70\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.2562825003831, + "fos_buckling": 0.6950822103214866, + "fos_yielding": 4.221262917911216, + "deflection": 0.016985212597722944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.346)" + }, + "parent_node_id": "node_2879", + "improvement_over_parent": null + }, + "node_2881": { + "node_id": "node_2881", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 233.11 kg\n Factor of Safety: 0.84\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.11482947674168, + "fos_buckling": 0.8434968240293861, + "fos_yielding": 5.322848420289542, + "deflection": 0.01342806016597195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2880", + "improvement_over_parent": null + }, + "node_2882": { + "node_id": "node_2882", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 250.91 kg\n Factor of Safety: 1.43\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.9063051651461, + "fos_buckling": 1.4288364826286788, + "fos_yielding": 6.534496257470167, + "deflection": 0.011791441906543115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_2881", + "improvement_over_parent": null + }, + "node_2883": { + "node_id": "node_2883", + "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 251.42 kg\n Factor of Safety: 1.44\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.4223342213435, + "fos_buckling": 1.4420628670710023, + "fos_yielding": 7.577014138623563, + "deflection": 0.011710801742238515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.279)" + }, + "parent_node_id": "node_2882", + "improvement_over_parent": null + }, + "node_2884": { + "node_id": "node_2884", + "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0086)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.01 kg\n Factor of Safety: 1.46\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.00964497188673, + "fos_buckling": 1.4591061055607868, + "fos_yielding": 7.93246206573566, + "deflection": 0.01165089011974403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.418)" + }, + "parent_node_id": "node_2883", + "improvement_over_parent": null + }, + "node_2885": { + "node_id": "node_2885", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2884", + "improvement_over_parent": null + }, + "node_2886": { + "node_id": "node_2886", + "content": "INITIAL DESIGN (Trace 410)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 167.72 kg\n Factor of Safety: 0.41\n Max Deflection: 2.29e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.72343138384764, + "fos_buckling": 0.4138151057471891, + "fos_yielding": 4.437465135243814, + "deflection": 22866664838327.02, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2887": { + "node_id": "node_2887", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 201.64 kg\n Factor of Safety: 0.65\n Max Deflection: 1.88e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.640199241209, + "fos_buckling": 0.653027325177901, + "fos_yielding": 3.3898310175039783, + "deflection": 18770613840910.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2886", + "improvement_over_parent": null + }, + "node_2888": { + "node_id": "node_2888", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 220.26 kg\n Factor of Safety: 0.85\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.2557252975763, + "fos_buckling": 0.8477532725697748, + "fos_yielding": 2.5680579340640106, + "deflection": 0.014662307651244832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2887", + "improvement_over_parent": null + }, + "node_2889": { + "node_id": "node_2889", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n\nPerformance:\n Mass: 230.70 kg\n Factor of Safety: 0.90\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.69635036591592, + "fos_buckling": 0.901093740377991, + "fos_yielding": 5.032262736395399, + "deflection": 0.01276616520437076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004299)" + }, + "parent_node_id": "node_2888", + "improvement_over_parent": null + }, + "node_2890": { + "node_id": "node_2890", + "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n\nPerformance:\n Mass: 230.94 kg\n Factor of Safety: 0.90\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.93679775762683, + "fos_buckling": 0.9011365412343794, + "fos_yielding": 6.568296085733841, + "deflection": 0.012707247981727622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.391)" + }, + "parent_node_id": "node_2889", + "improvement_over_parent": null + }, + "node_2891": { + "node_id": "node_2891", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 247.61 kg\n Factor of Safety: 1.33\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.60708156388392, + "fos_buckling": 1.326493590034822, + "fos_yielding": 5.87208271766109, + "deflection": 0.01173777735762043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_2890", + "improvement_over_parent": null + }, + "node_2892": { + "node_id": "node_2892", + "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0054)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 248.44 kg\n Factor of Safety: 1.33\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.4363819979332, + "fos_buckling": 1.3263274648171652, + "fos_yielding": 5.812156586102617, + "deflection": 0.011686638958719152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.449)" + }, + "parent_node_id": "node_2891", + "improvement_over_parent": null + }, + "node_2893": { + "node_id": "node_2893", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2892", + "improvement_over_parent": null + }, + "node_2894": { + "node_id": "node_2894", + "content": "INITIAL DESIGN (Trace 411)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 221.89 kg\n Factor of Safety: 0.75\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.8875514557942, + "fos_buckling": 0.7467015557036416, + "fos_yielding": 2.138849572667361, + "deflection": 0.02046336328992868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2895": { + "node_id": "node_2895", + "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 229.47 kg\n Factor of Safety: 0.79\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.46545936251368, + "fos_buckling": 0.7917759571461027, + "fos_yielding": 2.265363774196261, + "deflection": 0.019076787483868967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.425)" + }, + "parent_node_id": "node_2894", + "improvement_over_parent": null + }, + "node_2896": { + "node_id": "node_2896", + "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 235.21 kg\n Factor of Safety: 0.84\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.2076426241098, + "fos_buckling": 0.8350277982548232, + "fos_yielding": 2.3864903597974916, + "deflection": 0.017896350052467022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.377)" + }, + "parent_node_id": "node_2895", + "improvement_over_parent": null + }, + "node_2897": { + "node_id": "node_2897", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 237.75 kg\n Factor of Safety: 0.84\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.75363478517195, + "fos_buckling": 0.8435811051186901, + "fos_yielding": 5.002024799118635, + "deflection": 0.01314841179850817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2896", + "improvement_over_parent": null + }, + "node_2898": { + "node_id": "node_2898", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47814239382953, + "fos_buckling": 1.534506262204165, + "fos_yielding": 7.744277873957656, + "deflection": 0.01148664996775309, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2897", + "improvement_over_parent": null + }, + "node_2899": { + "node_id": "node_2899", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2898", + "improvement_over_parent": null + }, + "node_2900": { + "node_id": "node_2900", + "content": "INITIAL DESIGN (Trace 412)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0024)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n\nPerformance:\n Mass: 189.36 kg\n Factor of Safety: 0.35\n Max Deflection: 3.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.35526669635163, + "fos_buckling": 0.3492363883257023, + "fos_yielding": 2.5717551185217853, + "deflection": 0.034078964116897564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2901": { + "node_id": "node_2901", + "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n\nPerformance:\n Mass: 192.98 kg\n Factor of Safety: 0.44\n Max Deflection: 3.13e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.98216067074503, + "fos_buckling": 0.4433661857155882, + "fos_yielding": 2.572655348369462, + "deflection": 0.031255961897134144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.647)" + }, + "parent_node_id": "node_2900", + "improvement_over_parent": null + }, + "node_2902": { + "node_id": "node_2902", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 211.60 kg\n Factor of Safety: 0.44\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.59768672711235, + "fos_buckling": 0.44296571124723716, + "fos_yielding": 1.7013175754721537, + "deflection": 0.027163378554315228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_2901", + "improvement_over_parent": null + }, + "node_2903": { + "node_id": "node_2903", + "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 214.07 kg\n Factor of Safety: 0.44\n Max Deflection: 2.70e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.06921855473476, + "fos_buckling": 0.44291259575738195, + "fos_yielding": 1.739837035055712, + "deflection": 0.027012431144016212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.269)" + }, + "parent_node_id": "node_2902", + "improvement_over_parent": null + }, + "node_2904": { + "node_id": "node_2904", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 239.19 kg\n Factor of Safety: 0.81\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.1913602065816, + "fos_buckling": 0.8076398411256968, + "fos_yielding": 3.87828705542595, + "deflection": 0.016119279670152788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2903", + "improvement_over_parent": null + }, + "node_2905": { + "node_id": "node_2905", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 241.74 kg\n Factor of Safety: 1.37\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.73735236764375, + "fos_buckling": 1.370230406074966, + "fos_yielding": 7.671653595295397, + "deflection": 0.01177394418571125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_2904", + "improvement_over_parent": null + }, + "node_2906": { + "node_id": "node_2906", + "content": "MODIFICATION: Increase 14 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0122)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.36\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.5649168456174, + "fos_buckling": 1.3626971644096086, + "fos_yielding": 7.288509551396365, + "deflection": 0.011217935905794441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.499)" + }, + "parent_node_id": "node_2905", + "improvement_over_parent": null + }, + "node_2907": { + "node_id": "node_2907", + "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0059)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0122)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 253.64 kg\n Factor of Safety: 1.36\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.64264723714095, + "fos_buckling": 1.3628292600447574, + "fos_yielding": 7.202728643955816, + "deflection": 0.011153984162643103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.592)" + }, + "parent_node_id": "node_2906", + "improvement_over_parent": null + }, + "node_2908": { + "node_id": "node_2908", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2907", + "improvement_over_parent": null + }, + "node_2909": { + "node_id": "node_2909", + "content": "INITIAL DESIGN (Trace 413)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 167.48 kg\n Factor of Safety: 0.25\n Max Deflection: 6.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.48485164473004, + "fos_buckling": 0.24761887338918037, + "fos_yielding": 1.1009525508592362, + "deflection": 0.06549571674648008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2910": { + "node_id": "node_2910", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n Mass: 177.46 kg\n Factor of Safety: 0.25\n Max Deflection: 6.50e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.45550045254092, + "fos_buckling": 0.24749749350101646, + "fos_yielding": 0.9859514434896449, + "deflection": 0.06501522685750205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003460)" + }, + "parent_node_id": "node_2909", + "improvement_over_parent": null + }, + "node_2911": { + "node_id": "node_2911", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n\nPerformance:\n Mass: 179.58 kg\n Factor of Safety: 0.58\n Max Deflection: 2.25e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.57934457619908, + "fos_buckling": 0.5846677503430769, + "fos_yielding": 3.249796266585374, + "deflection": 0.022483796284121532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003335)" + }, + "parent_node_id": "node_2910", + "improvement_over_parent": null + }, + "node_2912": { + "node_id": "node_2912", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 215.35 kg\n Factor of Safety: 0.68\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.3522019280285, + "fos_buckling": 0.6779393508899703, + "fos_yielding": 3.8766723816607724, + "deflection": 0.018829811627252852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2911", + "improvement_over_parent": null + }, + "node_2913": { + "node_id": "node_2913", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 242.49 kg\n Factor of Safety: 1.24\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.49072549641096, + "fos_buckling": 1.240015611769411, + "fos_yielding": 7.966895009256808, + "deflection": 0.011772428513231374, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2912", + "improvement_over_parent": null + }, + "node_2914": { + "node_id": "node_2914", + "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 246.80 kg\n Factor of Safety: 1.30\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.79988536333343, + "fos_buckling": 1.300685196969164, + "fos_yielding": 7.985514962771524, + "deflection": 0.011677388497300063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.274)" + }, + "parent_node_id": "node_2913", + "improvement_over_parent": null + }, + "node_2915": { + "node_id": "node_2915", + "content": "MODIFICATION: Increase 15 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0084)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0130)]\n\nPerformance:\n Mass: 260.71 kg\n Factor of Safety: 1.30\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.71459940741886, + "fos_buckling": 1.2979177540098008, + "fos_yielding": 8.658696798848228, + "deflection": 0.011121325110956102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.600)" + }, + "parent_node_id": "node_2914", + "improvement_over_parent": null + }, + "node_2916": { + "node_id": "node_2916", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2915", + "improvement_over_parent": null + }, + "node_2917": { + "node_id": "node_2917", + "content": "INITIAL DESIGN (Trace 414)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 187.71 kg\n Factor of Safety: 0.78\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.71250311581971, + "fos_buckling": 0.7801424332546079, + "fos_yielding": 5.619880478713529, + "deflection": 0.017870578870178667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2918": { + "node_id": "node_2918", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 188.29 kg\n Factor of Safety: 0.78\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.2913101916334, + "fos_buckling": 0.7800985432081637, + "fos_yielding": 5.619564309761928, + "deflection": 0.017849664791263514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001726)" + }, + "parent_node_id": "node_2917", + "improvement_over_parent": null + }, + "node_2919": { + "node_id": "node_2919", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n\nPerformance:\n Mass: 207.42 kg\n Factor of Safety: 1.31\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.4219877379808, + "fos_buckling": 1.307018291842713, + "fos_yielding": 6.359228847942155, + "deflection": 0.013910323336362903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006092)" + }, + "parent_node_id": "node_2918", + "improvement_over_parent": null + }, + "node_2920": { + "node_id": "node_2920", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.56490316838617, + "fos_buckling": 1.5350163357533106, + "fos_yielding": 7.747234329106494, + "deflection": 0.011482904358719834, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2919", + "improvement_over_parent": null + }, + "node_2921": { + "node_id": "node_2921", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2920", + "improvement_over_parent": null + }, + "node_2922": { + "node_id": "node_2922", + "content": "INITIAL DESIGN (Trace 415)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 143.24 kg\n Factor of Safety: 0.50\n Max Deflection: 2.73e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.23762671052077, + "fos_buckling": 0.49864791346179826, + "fos_yielding": 2.2418348631534797, + "deflection": 0.02732333779010684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2923": { + "node_id": "node_2923", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 176.10 kg\n Factor of Safety: 0.60\n Max Deflection: 2.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.09651069073098, + "fos_buckling": 0.5995240458602864, + "fos_yielding": 2.7598217695938905, + "deflection": 0.022282311291377706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_2922", + "improvement_over_parent": null + }, + "node_2924": { + "node_id": "node_2924", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 219.03 kg\n Factor of Safety: 0.72\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.02840094617582, + "fos_buckling": 0.7237213864318857, + "fos_yielding": 3.4390979690873116, + "deflection": 0.017974988062391874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2923", + "improvement_over_parent": null + }, + "node_2925": { + "node_id": "node_2925", + "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 219.12 kg\n Factor of Safety: 0.72\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.1205189919952, + "fos_buckling": 0.7191332109529385, + "fos_yielding": 3.9196817040728016, + "deflection": 0.017918700612269915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.190)" + }, + "parent_node_id": "node_2924", + "improvement_over_parent": null + }, + "node_2926": { + "node_id": "node_2926", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n Mass: 221.35 kg\n Factor of Safety: 1.38\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.35129326864117, + "fos_buckling": 1.3794365284216703, + "fos_yielding": 6.783075330294838, + "deflection": 0.013055859398584004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003517)" + }, + "parent_node_id": "node_2925", + "improvement_over_parent": null + }, + "node_2927": { + "node_id": "node_2927", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.57778703114144, + "fos_buckling": 1.5350349176161013, + "fos_yielding": 7.742809919535302, + "deflection": 0.011482473874004737, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2926", + "improvement_over_parent": null + }, + "node_2928": { + "node_id": "node_2928", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2927", + "improvement_over_parent": null + }, + "node_2929": { + "node_id": "node_2929", + "content": "INITIAL DESIGN (Trace 416)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 117.39 kg\n Factor of Safety: 1.01\n Max Deflection: 3.04e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.38765153277609, + "fos_buckling": 1.0065866022798262, + "fos_yielding": 6.419185458157173, + "deflection": 30380033446718.05, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2930": { + "node_id": "node_2930", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n\nPerformance:\n Mass: 123.66 kg\n Factor of Safety: 0.62\n Max Deflection: 1.84e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.66218225023191, + "fos_buckling": 0.6207116164491511, + "fos_yielding": 4.291844425820433, + "deflection": 18405457245695.207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002520)" + }, + "parent_node_id": "node_2929", + "improvement_over_parent": null + }, + "node_2931": { + "node_id": "node_2931", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n\nPerformance:\n Mass: 144.85 kg\n Factor of Safety: 0.65\n Max Deflection: 6.00e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.84640313404495, + "fos_buckling": 0.6494593769500367, + "fos_yielding": 6.779662035007957, + "deflection": 6001047799596.732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2930", + "improvement_over_parent": null + }, + "node_2932": { + "node_id": "node_2932", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n\nPerformance:\n Mass: 186.52 kg\n Factor of Safety: 0.89\n Max Deflection: 1.34e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.52317361500732, + "fos_buckling": 0.8879575797210768, + "fos_yielding": 8.503503209428644, + "deflection": 13404532349135.326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2931", + "improvement_over_parent": null + }, + "node_2933": { + "node_id": "node_2933", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n\nPerformance:\n Mass: 201.58 kg\n Factor of Safety: 0.41\n Max Deflection: 2.68e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.58385891776777, + "fos_buckling": 0.4075200990401934, + "fos_yielding": 1.6462958200892401, + "deflection": 0.026766785439831953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005713)" + }, + "parent_node_id": "node_2932", + "improvement_over_parent": null + }, + "node_2934": { + "node_id": "node_2934", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 223.08 kg\n Factor of Safety: 0.44\n Max Deflection: 2.43e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.07865998214513, + "fos_buckling": 0.44230856128100005, + "fos_yielding": 1.8167268624270032, + "deflection": 0.02425468493209714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2933", + "improvement_over_parent": null + }, + "node_2935": { + "node_id": "node_2935", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0053)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 223.87 kg\n Factor of Safety: 0.44\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.86919596726884, + "fos_buckling": 0.4423085612809992, + "fos_yielding": 1.8167268624270032, + "deflection": 0.024184373492608904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.427)" + }, + "parent_node_id": "node_2934", + "improvement_over_parent": null + }, + "node_2936": { + "node_id": "node_2936", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0053)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 248.99 kg\n Factor of Safety: 1.33\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.99133761911568, + "fos_buckling": 1.3318669951636624, + "fos_yielding": 7.629678093514045, + "deflection": 0.011561482577979955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_2935", + "improvement_over_parent": null + }, + "node_2937": { + "node_id": "node_2937", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2936", + "improvement_over_parent": null + }, + "node_2938": { + "node_id": "node_2938", + "content": "INITIAL DESIGN (Trace 417)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 182.17 kg\n Factor of Safety: 0.81\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.17136374964142, + "fos_buckling": 0.8056317548551343, + "fos_yielding": 4.061728415433447, + "deflection": 0.019397393534105255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2939": { + "node_id": "node_2939", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 198.60 kg\n Factor of Safety: 1.28\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.60298192058673, + "fos_buckling": 1.2819885337166157, + "fos_yielding": 6.458910014724799, + "deflection": 0.014694153965588081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005995)" + }, + "parent_node_id": "node_2938", + "improvement_over_parent": null + }, + "node_2940": { + "node_id": "node_2940", + "content": "MODIFICATION: Increase 11 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0076)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 1.27\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.86158393536377, + "fos_buckling": 1.2717468532256242, + "fos_yielding": 6.283125195609185, + "deflection": 0.014592459695612693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.414)" + }, + "parent_node_id": "node_2939", + "improvement_over_parent": null + }, + "node_2941": { + "node_id": "node_2941", + "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0076)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 209.68 kg\n Factor of Safety: 1.27\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.6773155218372, + "fos_buckling": 1.2693312596289579, + "fos_yielding": 6.752427990326308, + "deflection": 0.013856791739935925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.471)" + }, + "parent_node_id": "node_2940", + "improvement_over_parent": null + }, + "node_2942": { + "node_id": "node_2942", + "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0076)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0090)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 217.95 kg\n Factor of Safety: 1.27\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.9486119819015, + "fos_buckling": 1.268578434800286, + "fos_yielding": 6.718783361122278, + "deflection": 0.01362588568294663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.592)" + }, + "parent_node_id": "node_2941", + "improvement_over_parent": null + }, + "node_2943": { + "node_id": "node_2943", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0090)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0107)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 255.17 kg\n Factor of Safety: 1.44\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.16693028890688, + "fos_buckling": 1.4445258140565287, + "fos_yielding": 7.8790311160638815, + "deflection": 0.011675078548001025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2942", + "improvement_over_parent": null + }, + "node_2944": { + "node_id": "node_2944", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2943", + "improvement_over_parent": null + }, + "node_2945": { + "node_id": "node_2945", + "content": "INITIAL DESIGN (Trace 418)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n\nPerformance:\n Mass: 146.79 kg\n Factor of Safety: 0.42\n Max Deflection: 3.31e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.78583490989132, + "fos_buckling": 0.4181788537972402, + "fos_yielding": 2.1317049334903366, + "deflection": 33115308517607.67, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2946": { + "node_id": "node_2946", + "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 150.49 kg\n Factor of Safety: 0.40\n Max Deflection: 3.05e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.48549556482942, + "fos_buckling": 0.39773129161057974, + "fos_yielding": 1.6949155087519892, + "deflection": 30485807413667.676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.368)" + }, + "parent_node_id": "node_2945", + "improvement_over_parent": null + }, + "node_2947": { + "node_id": "node_2947", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 165.66 kg\n Factor of Safety: 0.23\n Max Deflection: 3.97e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.66226063042333, + "fos_buckling": 0.2274066336890667, + "fos_yielding": 0.8474577543759946, + "deflection": 39738136269955.91, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005402)" + }, + "parent_node_id": "node_2946", + "improvement_over_parent": null + }, + "node_2948": { + "node_id": "node_2948", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 186.14 kg\n Factor of Safety: 0.30\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.14173643210097, + "fos_buckling": 0.29984332033527067, + "fos_yielding": 4.3792800230252045, + "deflection": 0.01665048536731112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006520)" + }, + "parent_node_id": "node_2947", + "improvement_over_parent": null + }, + "node_2949": { + "node_id": "node_2949", + "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n\nPerformance:\n Mass: 190.47 kg\n Factor of Safety: 0.34\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.46717628814332, + "fos_buckling": 0.3414879964384098, + "fos_yielding": 4.379849183577306, + "deflection": 0.01635880725315413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.565)" + }, + "parent_node_id": "node_2948", + "improvement_over_parent": null + }, + "node_2950": { + "node_id": "node_2950", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n\nPerformance:\n Mass: 205.83 kg\n Factor of Safety: 1.30\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.83185066195213, + "fos_buckling": 1.298617340548113, + "fos_yielding": 6.310471446132725, + "deflection": 0.014015388353584445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005435)" + }, + "parent_node_id": "node_2949", + "improvement_over_parent": null + }, + "node_2951": { + "node_id": "node_2951", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.32 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.32311852285338, + "fos_buckling": 1.5338371539387805, + "fos_yielding": 7.739928618111095, + "deflection": 0.011493709839687219, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2950", + "improvement_over_parent": null + }, + "node_2952": { + "node_id": "node_2952", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2951", + "improvement_over_parent": null + }, + "node_2953": { + "node_id": "node_2953", + "content": "INITIAL DESIGN (Trace 419)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 182.42 kg\n Factor of Safety: 0.44\n Max Deflection: 3.32e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.42121873964444, + "fos_buckling": 0.4440144345004172, + "fos_yielding": 1.2849974340722998, + "deflection": 0.03316339249222998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2954": { + "node_id": "node_2954", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 209.56 kg\n Factor of Safety: 0.44\n Max Deflection: 2.98e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.5597423080269, + "fos_buckling": 0.4428453867014062, + "fos_yielding": 1.2816439735419998, + "deflection": 0.029804212986937174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_2953", + "improvement_over_parent": null + }, + "node_2955": { + "node_id": "node_2955", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n\nPerformance:\n Mass: 229.79 kg\n Factor of Safety: 0.85\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.79107112532256, + "fos_buckling": 0.8452472616114043, + "fos_yielding": 4.595922726011032, + "deflection": 0.013591817182023512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006435)" + }, + "parent_node_id": "node_2954", + "improvement_over_parent": null + }, + "node_2956": { + "node_id": "node_2956", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 247.58 kg\n Factor of Safety: 1.38\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.582546813727, + "fos_buckling": 1.376195197942522, + "fos_yielding": 8.057243213173777, + "deflection": 0.011898512026294958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_2955", + "improvement_over_parent": null + }, + "node_2957": { + "node_id": "node_2957", + "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0079)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 251.05 kg\n Factor of Safety: 1.38\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.04857013872797, + "fos_buckling": 1.3783895102956616, + "fos_yielding": 8.075498070787031, + "deflection": 0.011832198155518935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.266)" + }, + "parent_node_id": "node_2956", + "improvement_over_parent": null + }, + "node_2958": { + "node_id": "node_2958", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2957", + "improvement_over_parent": null + }, + "node_2959": { + "node_id": "node_2959", + "content": "INITIAL DESIGN (Trace 420)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 193.81 kg\n Factor of Safety: 1.24\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.8132250370874, + "fos_buckling": 1.2359993714910813, + "fos_yielding": 5.929733306011813, + "deflection": 0.014862396395591244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2960": { + "node_id": "node_2960", + "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 194.01 kg\n Factor of Safety: 1.24\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.0108085803063, + "fos_buckling": 1.236037939555291, + "fos_yielding": 5.933405481238333, + "deflection": 0.014841810348823219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.199)" + }, + "parent_node_id": "node_2959", + "improvement_over_parent": null + }, + "node_2961": { + "node_id": "node_2961", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.34 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.34451523211848, + "fos_buckling": 1.5345942619497952, + "fos_yielding": 7.722854014189278, + "deflection": 0.011487068289902194, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2960", + "improvement_over_parent": null + }, + "node_2962": { + "node_id": "node_2962", + "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.52067634671226, + "fos_buckling": 1.534798372600487, + "fos_yielding": 7.745927742441629, + "deflection": 0.011484839449073928, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.366)" + }, + "parent_node_id": "node_2961", + "improvement_over_parent": null + }, + "node_2963": { + "node_id": "node_2963", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2962", + "improvement_over_parent": null + }, + "node_2964": { + "node_id": "node_2964", + "content": "INITIAL DESIGN (Trace 421)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0032)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0032)]\n\nPerformance:\n Mass: 161.46 kg\n Factor of Safety: 0.91\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.45574341507924, + "fos_buckling": 0.9084244172169209, + "fos_yielding": 3.83934106205559, + "deflection": 0.017636917265711528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2965": { + "node_id": "node_2965", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 210.84 kg\n Factor of Safety: 1.16\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.83916089887086, + "fos_buckling": 1.1591386336847627, + "fos_yielding": 5.040374542980465, + "deflection": 0.013581060995633948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2964", + "improvement_over_parent": null + }, + "node_2966": { + "node_id": "node_2966", + "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 214.91 kg\n Factor of Safety: 1.17\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.9096202790503, + "fos_buckling": 1.1695433673894373, + "fos_yielding": 5.022914555050051, + "deflection": 0.013412607083231443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.359)" + }, + "parent_node_id": "node_2965", + "improvement_over_parent": null + }, + "node_2967": { + "node_id": "node_2967", + "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 219.13 kg\n Factor of Safety: 1.26\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.12752332627386, + "fos_buckling": 1.2557662684527362, + "fos_yielding": 5.206159336043574, + "deflection": 0.013233092725460032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.370)" + }, + "parent_node_id": "node_2966", + "improvement_over_parent": null + }, + "node_2968": { + "node_id": "node_2968", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.48 kg\n Factor of Safety: 1.41\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.47674954890283, + "fos_buckling": 1.411660646628871, + "fos_yielding": 5.946577270752674, + "deflection": 0.01166243315674899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_2967", + "improvement_over_parent": null + }, + "node_2969": { + "node_id": "node_2969", + "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 250.12 kg\n Factor of Safety: 1.47\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.11597943719303, + "fos_buckling": 1.46784406967459, + "fos_yielding": 7.726963633755303, + "deflection": 0.011548370914362689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.368)" + }, + "parent_node_id": "node_2968", + "improvement_over_parent": null + }, + "node_2970": { + "node_id": "node_2970", + "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.44189510263104, + "fos_buckling": 1.5343744695269563, + "fos_yielding": 7.742419906039122, + "deflection": 0.011488510484165725, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.206)" + }, + "parent_node_id": "node_2969", + "improvement_over_parent": null + }, + "node_2971": { + "node_id": "node_2971", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2970", + "improvement_over_parent": null + }, + "node_2972": { + "node_id": "node_2972", + "content": "INITIAL DESIGN (Trace 422)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 200.13 kg\n Factor of Safety: 1.10\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.13108930387227, + "fos_buckling": 1.0997420140247054, + "fos_yielding": 6.603395442395105, + "deflection": 0.014170943377302365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2973": { + "node_id": "node_2973", + "content": "MODIFICATION: Increase 15 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 204.93 kg\n Factor of Safety: 1.27\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.9284731486105, + "fos_buckling": 1.267728354219199, + "fos_yielding": 6.566157336168102, + "deflection": 0.013956512433057818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.488)" + }, + "parent_node_id": "node_2972", + "improvement_over_parent": null + }, + "node_2974": { + "node_id": "node_2974", + "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 205.03 kg\n Factor of Safety: 1.26\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.03373877388023, + "fos_buckling": 1.2611003468042783, + "fos_yielding": 6.582906142915998, + "deflection": 0.013952971341688313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.238)" + }, + "parent_node_id": "node_2973", + "improvement_over_parent": null + }, + "node_2975": { + "node_id": "node_2975", + "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 208.46 kg\n Factor of Safety: 1.31\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.45969912005452, + "fos_buckling": 1.3124597929878286, + "fos_yielding": 6.391253792867067, + "deflection": 0.013842771933201176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.357)" + }, + "parent_node_id": "node_2974", + "improvement_over_parent": null + }, + "node_2976": { + "node_id": "node_2976", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49922472820234, + "fos_buckling": 1.534675111325669, + "fos_yielding": 7.745372621702409, + "deflection": 0.01148584682348248, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2975", + "improvement_over_parent": null + }, + "node_2977": { + "node_id": "node_2977", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2976", + "improvement_over_parent": null + }, + "node_2978": { + "node_id": "node_2978", + "content": "INITIAL DESIGN (Trace 423)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 232.20 kg\n Factor of Safety: 0.84\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.1979202984917, + "fos_buckling": 0.8444695377142638, + "fos_yielding": 4.875207671436167, + "deflection": 0.014069719763660749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2979": { + "node_id": "node_2979", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 246.92 kg\n Factor of Safety: 1.43\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.92242790714928, + "fos_buckling": 1.4338750951828902, + "fos_yielding": 6.049013248680445, + "deflection": 0.011764815687443921, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_2978", + "improvement_over_parent": null + }, + "node_2980": { + "node_id": "node_2980", + "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 251.86 kg\n Factor of Safety: 1.43\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.8596236750856, + "fos_buckling": 1.4266687181346305, + "fos_yielding": 6.018612085855066, + "deflection": 0.011595604085376708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.517)" + }, + "parent_node_id": "node_2979", + "improvement_over_parent": null + }, + "node_2981": { + "node_id": "node_2981", + "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0029)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.08 kg\n Factor of Safety: 1.43\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.07650978867952, + "fos_buckling": 1.4305285548106992, + "fos_yielding": 6.034895375292005, + "deflection": 0.011593389748867682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.351)" + }, + "parent_node_id": "node_2980", + "improvement_over_parent": null + }, + "node_2982": { + "node_id": "node_2982", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2981", + "improvement_over_parent": null + }, + "node_2983": { + "node_id": "node_2983", + "content": "INITIAL DESIGN (Trace 424)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0036)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 180.59 kg\n Factor of Safety: 1.04\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.5929270343361, + "fos_buckling": 1.0436963335124319, + "fos_yielding": 5.034483562531838, + "deflection": 0.015862437549253188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2984": { + "node_id": "node_2984", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 200.25 kg\n Factor of Safety: 1.14\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.24874599182473, + "fos_buckling": 1.1419404422723853, + "fos_yielding": 5.588968343954941, + "deflection": 0.01433759640620652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2983", + "improvement_over_parent": null + }, + "node_2985": { + "node_id": "node_2985", + "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 202.32 kg\n Factor of Safety: 1.18\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.3185307119282, + "fos_buckling": 1.1805637783320206, + "fos_yielding": 5.601784408439211, + "deflection": 0.014249717175780685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.218)" + }, + "parent_node_id": "node_2984", + "improvement_over_parent": null + }, + "node_2986": { + "node_id": "node_2986", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 242.06 kg\n Factor of Safety: 1.38\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.06497483459836, + "fos_buckling": 1.379030438742657, + "fos_yielding": 6.719397444336858, + "deflection": 0.011963086894450942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_2985", + "improvement_over_parent": null + }, + "node_2987": { + "node_id": "node_2987", + "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 242.57 kg\n Factor of Safety: 1.36\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.5734779228643, + "fos_buckling": 1.360774901005104, + "fos_yielding": 8.234724414416084, + "deflection": 0.011887772812828339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.274)" + }, + "parent_node_id": "node_2986", + "improvement_over_parent": null + }, + "node_2988": { + "node_id": "node_2988", + "content": "MODIFICATION: Increase 15 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 246.66 kg\n Factor of Safety: 1.36\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.6596103257303, + "fos_buckling": 1.3608237959652443, + "fos_yielding": 8.205275757593308, + "deflection": 0.011770514760026817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.309)" + }, + "parent_node_id": "node_2987", + "improvement_over_parent": null + }, + "node_2989": { + "node_id": "node_2989", + "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.06 kg\n Factor of Safety: 1.49\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.0581398089693, + "fos_buckling": 1.489705343056045, + "fos_yielding": 7.9733810168519454, + "deflection": 0.01163516166022279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.190)" + }, + "parent_node_id": "node_2988", + "improvement_over_parent": null + }, + "node_2990": { + "node_id": "node_2990", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.28 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.27969201476583, + "fos_buckling": 1.5334736098762307, + "fos_yielding": 7.745158936146842, + "deflection": 0.01149519927362999, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.221)" + }, + "parent_node_id": "node_2989", + "improvement_over_parent": null + }, + "node_2991": { + "node_id": "node_2991", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2990", + "improvement_over_parent": null + }, + "node_2992": { + "node_id": "node_2992", + "content": "INITIAL DESIGN (Trace 425)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 222.59 kg\n Factor of Safety: 0.68\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.59280892000447, + "fos_buckling": 0.6783163414429826, + "fos_yielding": 3.395958056528992, + "deflection": 0.015922379549977606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2993": { + "node_id": "node_2993", + "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 227.41 kg\n Factor of Safety: 0.68\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.41122470522902, + "fos_buckling": 0.678000178009335, + "fos_yielding": 3.521930529657355, + "deflection": 0.015523175299454114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.300)" + }, + "parent_node_id": "node_2992", + "improvement_over_parent": null + }, + "node_2994": { + "node_id": "node_2994", + "content": "MODIFICATION: Increase 7 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 228.33 kg\n Factor of Safety: 0.68\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.33183131131932, + "fos_buckling": 0.6778794434410275, + "fos_yielding": 5.373174394522641, + "deflection": 0.015122248377750693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.621)" + }, + "parent_node_id": "node_2993", + "improvement_over_parent": null + }, + "node_2995": { + "node_id": "node_2995", + "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 232.92 kg\n Factor of Safety: 0.86\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.92060261027123, + "fos_buckling": 0.8605785605185369, + "fos_yielding": 5.373915549117039, + "deflection": 0.014601997037090978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.359)" + }, + "parent_node_id": "node_2994", + "improvement_over_parent": null + }, + "node_2996": { + "node_id": "node_2996", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 251.77 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.76865062558343, + "fos_buckling": 1.4974884732643299, + "fos_yielding": 7.426414730589196, + "deflection": 0.011521934631652984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_2995", + "improvement_over_parent": null + }, + "node_2997": { + "node_id": "node_2997", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47297147250447, + "fos_buckling": 1.534584861702591, + "fos_yielding": 7.743331544973932, + "deflection": 0.011487055017151278, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_2996", + "improvement_over_parent": null + }, + "node_2998": { + "node_id": "node_2998", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2997", + "improvement_over_parent": null + }, + "node_2999": { + "node_id": "node_2999", + "content": "INITIAL DESIGN (Trace 426)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 177.88 kg\n Factor of Safety: 0.91\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.88486557196882, + "fos_buckling": 0.906690233711419, + "fos_yielding": 5.803680711466671, + "deflection": 0.016425315925650927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3000": { + "node_id": "node_3000", + "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0036)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 178.24 kg\n Factor of Safety: 0.91\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.2393785680848, + "fos_buckling": 0.9066351034023431, + "fos_yielding": 5.809126059281549, + "deflection": 0.016382976763551257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.425)" + }, + "parent_node_id": "node_2999", + "improvement_over_parent": null + }, + "node_3001": { + "node_id": "node_3001", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n Mass: 213.18 kg\n Factor of Safety: 1.07\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.18089628291176, + "fos_buckling": 1.0682990164412778, + "fos_yielding": 6.9480271922375145, + "deflection": 0.013744859243116579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_3000", + "improvement_over_parent": null + }, + "node_3002": { + "node_id": "node_3002", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n Mass: 218.01 kg\n Factor of Safety: 1.17\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.00860167965652, + "fos_buckling": 1.1660401059994494, + "fos_yielding": 7.330276521358654, + "deflection": 0.01322206821116446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.337)" + }, + "parent_node_id": "node_3001", + "improvement_over_parent": null + }, + "node_3003": { + "node_id": "node_3003", + "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0075)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0037)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0061)]\n\nPerformance:\n Mass: 224.60 kg\n Factor of Safety: 1.22\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.6042154210677, + "fos_buckling": 1.2213434285615818, + "fos_yielding": 6.77365418642407, + "deflection": 0.012796808752221667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.658)" + }, + "parent_node_id": "node_3002", + "improvement_over_parent": null + }, + "node_3004": { + "node_id": "node_3004", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 247.33 kg\n Factor of Safety: 1.33\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.3285354499048, + "fos_buckling": 1.3309990514826244, + "fos_yielding": 7.462565111521046, + "deflection": 0.011650690963018373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_3003", + "improvement_over_parent": null + }, + "node_3005": { + "node_id": "node_3005", + "content": "MODIFICATION: Increase 13 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.30 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.29615015591537, + "fos_buckling": 1.5333368923561796, + "fos_yielding": 7.740847825242024, + "deflection": 0.011494477409130085, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.393)" + }, + "parent_node_id": "node_3004", + "improvement_over_parent": null + }, + "node_3006": { + "node_id": "node_3006", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3005", + "improvement_over_parent": null + }, + "node_3007": { + "node_id": "node_3007", + "content": "INITIAL DESIGN (Trace 427)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0029)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 140.27 kg\n Factor of Safety: 0.80\n Max Deflection: 2.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.26901164551293, + "fos_buckling": 0.8031658335159233, + "fos_yielding": 4.559181722060913, + "deflection": 0.020887863287100385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3008": { + "node_id": "node_3008", + "content": "MODIFICATION: Increase 14 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 142.83 kg\n Factor of Safety: 0.80\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.83298555080972, + "fos_buckling": 0.8032076792824089, + "fos_yielding": 4.574213476661318, + "deflection": 0.020684257665410495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.328)" + }, + "parent_node_id": "node_3007", + "improvement_over_parent": null + }, + "node_3009": { + "node_id": "node_3009", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 176.78 kg\n Factor of Safety: 0.98\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.78481279605063, + "fos_buckling": 0.9761295284779454, + "fos_yielding": 5.66213352922945, + "deflection": 0.016768923794102632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_3008", + "improvement_over_parent": null + }, + "node_3010": { + "node_id": "node_3010", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 206.63 kg\n Factor of Safety: 1.12\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.63180095257724, + "fos_buckling": 1.122457889152809, + "fos_yielding": 6.618547724113956, + "deflection": 0.014389371658168804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_3009", + "improvement_over_parent": null + }, + "node_3011": { + "node_id": "node_3011", + "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 209.44 kg\n Factor of Safety: 1.12\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.4406855194084, + "fos_buckling": 1.122159028138544, + "fos_yielding": 6.600933084023421, + "deflection": 0.014281400902113068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.284)" + }, + "parent_node_id": "node_3010", + "improvement_over_parent": null + }, + "node_3012": { + "node_id": "node_3012", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 239.12 kg\n Factor of Safety: 1.26\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.12328744693767, + "fos_buckling": 1.2606774201005693, + "fos_yielding": 7.538035815185989, + "deflection": 0.012544049174314505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_3011", + "improvement_over_parent": null + }, + "node_3013": { + "node_id": "node_3013", + "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 244.91 kg\n Factor of Safety: 1.26\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.90684111907896, + "fos_buckling": 1.2566863617890753, + "fos_yielding": 7.203948048306604, + "deflection": 0.012042816024558426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.328)" + }, + "parent_node_id": "node_3012", + "improvement_over_parent": null + }, + "node_3014": { + "node_id": "node_3014", + "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.65 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.64623924361976, + "fos_buckling": 1.535808736430669, + "fos_yielding": 7.74972395418232, + "deflection": 0.01147917891272122, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.437)" + }, + "parent_node_id": "node_3013", + "improvement_over_parent": null + }, + "node_3015": { + "node_id": "node_3015", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3014", + "improvement_over_parent": null + }, + "node_3016": { + "node_id": "node_3016", + "content": "INITIAL DESIGN (Trace 428)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0029)]\n\nPerformance:\n Mass: 175.03 kg\n Factor of Safety: 0.84\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.0339283324181, + "fos_buckling": 0.8416508391317616, + "fos_yielding": 5.6485255420937825, + "deflection": 0.01621752485012914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3017": { + "node_id": "node_3017", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 197.69 kg\n Factor of Safety: 0.94\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.68523312732688, + "fos_buckling": 0.939856042194727, + "fos_yielding": 6.379132245294414, + "deflection": 0.014397724841261708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_3016", + "improvement_over_parent": null + }, + "node_3018": { + "node_id": "node_3018", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 240.68 kg\n Factor of Safety: 1.12\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.68198766990704, + "fos_buckling": 1.1197332441312766, + "fos_yielding": 7.765465070196688, + "deflection": 0.011885565486107235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_3017", + "improvement_over_parent": null + }, + "node_3019": { + "node_id": "node_3019", + "content": "MODIFICATION: Increase 15 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 247.59 kg\n Factor of Safety: 1.49\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.58755079874066, + "fos_buckling": 1.4891412635585553, + "fos_yielding": 7.71419033040277, + "deflection": 0.011615630742771482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.647)" + }, + "parent_node_id": "node_3018", + "improvement_over_parent": null + }, + "node_3020": { + "node_id": "node_3020", + "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.53 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.52872638621218, + "fos_buckling": 1.5349634840806872, + "fos_yielding": 7.747019335085027, + "deflection": 0.011483929559105797, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.422)" + }, + "parent_node_id": "node_3019", + "improvement_over_parent": null + }, + "node_3021": { + "node_id": "node_3021", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3020", + "improvement_over_parent": null + }, + "node_3022": { + "node_id": "node_3022", + "content": "INITIAL DESIGN (Trace 429)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 155.42 kg\n Factor of Safety: 0.51\n Max Deflection: 2.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.42348276287743, + "fos_buckling": 0.5104996370223279, + "fos_yielding": 2.7799916729814553, + "deflection": 0.026196982831173842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3023": { + "node_id": "node_3023", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 185.57 kg\n Factor of Safety: 0.59\n Max Deflection: 2.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.569714648402, + "fos_buckling": 0.5930832496600447, + "fos_yielding": 3.3048615248946662, + "deflection": 0.022019669484532912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_3022", + "improvement_over_parent": null + }, + "node_3024": { + "node_id": "node_3024", + "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 189.09 kg\n Factor of Safety: 0.59\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.09047021035354, + "fos_buckling": 0.592981792010979, + "fos_yielding": 3.3042992771489446, + "deflection": 0.021886381523862974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.328)" + }, + "parent_node_id": "node_3023", + "improvement_over_parent": null + }, + "node_3025": { + "node_id": "node_3025", + "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 189.29 kg\n Factor of Safety: 0.59\n Max Deflection: 2.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.29412658829085, + "fos_buckling": 0.5929817920109791, + "fos_yielding": 3.304299277148945, + "deflection": 0.021867673460699153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.185)" + }, + "parent_node_id": "node_3024", + "improvement_over_parent": null + }, + "node_3026": { + "node_id": "node_3026", + "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n\nPerformance:\n Mass: 191.30 kg\n Factor of Safety: 0.59\n Max Deflection: 2.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.30237842815913, + "fos_buckling": 0.5929239357426704, + "fos_yielding": 3.3039786546548395, + "deflection": 0.02178938275627117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.196)" + }, + "parent_node_id": "node_3025", + "improvement_over_parent": null + }, + "node_3027": { + "node_id": "node_3027", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n Mass: 214.34 kg\n Factor of Safety: 1.34\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.3371277435434, + "fos_buckling": 1.3430167234460046, + "fos_yielding": 6.571779784705799, + "deflection": 0.013472185434522088, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006812)" + }, + "parent_node_id": "node_3026", + "improvement_over_parent": null + }, + "node_3028": { + "node_id": "node_3028", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.58224524535026, + "fos_buckling": 1.5348748295307821, + "fos_yielding": 7.747795874084344, + "deflection": 0.011482156612395336, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_3027", + "improvement_over_parent": null + }, + "node_3029": { + "node_id": "node_3029", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3028", + "improvement_over_parent": null + }, + "node_3030": { + "node_id": "node_3030", + "content": "INITIAL DESIGN (Trace 430)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0026)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0028)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0023)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 126.60 kg\n Factor of Safety: 0.77\n Max Deflection: 2.31e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.59547150285528, + "fos_buckling": 0.7744424818613558, + "fos_yielding": 3.6741426387856344, + "deflection": 0.02308193685274953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3031": { + "node_id": "node_3031", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 148.82 kg\n Factor of Safety: 0.90\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.81941980782688, + "fos_buckling": 0.8996236869858989, + "fos_yielding": 4.320496866664504, + "deflection": 0.01968166251484764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_3030", + "improvement_over_parent": null + }, + "node_3032": { + "node_id": "node_3032", + "content": "MODIFICATION: Increase 10 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0028)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 155.22 kg\n Factor of Safety: 1.03\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.21575491959942, + "fos_buckling": 1.0265890867382375, + "fos_yielding": 4.643809424683628, + "deflection": 0.018751690544019456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.587)" + }, + "parent_node_id": "node_3031", + "improvement_over_parent": null + }, + "node_3033": { + "node_id": "node_3033", + "content": "MODIFICATION: Increase 14 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0030)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 159.15 kg\n Factor of Safety: 1.03\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.14545224427027, + "fos_buckling": 1.026060912467145, + "fos_yielding": 4.666737611307029, + "deflection": 0.018467326998375402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.531)" + }, + "parent_node_id": "node_3032", + "improvement_over_parent": null + }, + "node_3034": { + "node_id": "node_3034", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 186.84 kg\n Factor of Safety: 1.18\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.8381116681005, + "fos_buckling": 1.1788431939983903, + "fos_yielding": 5.481426761473578, + "deflection": 0.01577537014520306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_3033", + "improvement_over_parent": null + }, + "node_3035": { + "node_id": "node_3035", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.15 kg\n Factor of Safety: 1.46\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.1524867439938, + "fos_buckling": 1.4569503779227286, + "fos_yielding": 7.0820803886725745, + "deflection": 0.012290531759543175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_3034", + "improvement_over_parent": null + }, + "node_3036": { + "node_id": "node_3036", + "content": "MODIFICATION: Increase 0 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.34 kg\n Factor of Safety: 1.54\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 249.34044446211192, + "fos_buckling": 1.5351350491148543, + "fos_yielding": 7.770165564343025, + "deflection": 0.011582057784973258, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.629)" + }, + "parent_node_id": "node_3035", + "improvement_over_parent": null + }, + "node_3037": { + "node_id": "node_3037", + "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.57805944328476, + "fos_buckling": 1.5346804396637206, + "fos_yielding": 7.747180535707313, + "deflection": 0.01148259311989941, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.292)" + }, + "parent_node_id": "node_3036", + "improvement_over_parent": null + }, + "node_3038": { + "node_id": "node_3038", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3037", + "improvement_over_parent": null + }, + "node_3039": { + "node_id": "node_3039", + "content": "INITIAL DESIGN (Trace 431)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0033)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0041)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 152.56 kg\n Factor of Safety: 1.02\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.55816603482705, + "fos_buckling": 1.020334209994422, + "fos_yielding": 4.540534698303043, + "deflection": 0.01958913327673565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3040": { + "node_id": "node_3040", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0044)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 198.74 kg\n Factor of Safety: 1.28\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.7416026581018, + "fos_buckling": 1.2790483335314193, + "fos_yielding": 5.918620139060865, + "deflection": 0.015103780818900502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_3039", + "improvement_over_parent": null + }, + "node_3041": { + "node_id": "node_3041", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 241.96 kg\n Factor of Safety: 1.50\n Max Deflection: 1.25e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 241.96032666899296, + "fos_buckling": 1.500764741242197, + "fos_yielding": 7.210097625807069, + "deflection": 0.012456584410400285, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_3040", + "improvement_over_parent": null + }, + "node_3042": { + "node_id": "node_3042", + "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 244.48 kg\n Factor of Safety: 1.50\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.47722058897958, + "fos_buckling": 1.4977858866015028, + "fos_yielding": 7.195942110048527, + "deflection": 0.01238008085871645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.214)" + }, + "parent_node_id": "node_3041", + "improvement_over_parent": null + }, + "node_3043": { + "node_id": "node_3043", + "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n\nPerformance:\n Mass: 252.90 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.89719164965976, + "fos_buckling": 1.5365885370539851, + "fos_yielding": 7.757326187067778, + "deflection": 0.011468337382532912, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.520)" + }, + "parent_node_id": "node_3042", + "improvement_over_parent": null + }, + "node_3044": { + "node_id": "node_3044", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3043", + "improvement_over_parent": null + }, + "node_3045": { + "node_id": "node_3045", + "content": "INITIAL DESIGN (Trace 432)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 177.63 kg\n Factor of Safety: 0.11\n Max Deflection: 2.05e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.6341003212376, + "fos_buckling": 0.10980942705755091, + "fos_yielding": 1.6949155087519892, + "deflection": 20470474458654.996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3046": { + "node_id": "node_3046", + "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 179.44 kg\n Factor of Safety: 0.82\n Max Deflection: 1.62e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.44156533987868, + "fos_buckling": 0.8169215983804964, + "fos_yielding": 4.172919585652634, + "deflection": 16172173962651.936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.178)" + }, + "parent_node_id": "node_3045", + "improvement_over_parent": null + }, + "node_3047": { + "node_id": "node_3047", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n\nPerformance:\n Mass: 195.03 kg\n Factor of Safety: 0.77\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.02908504624077, + "fos_buckling": 0.7695811062557003, + "fos_yielding": 4.536664813638305, + "deflection": 0.015110151779371802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005520)" + }, + "parent_node_id": "node_3046", + "improvement_over_parent": null + }, + "node_3048": { + "node_id": "node_3048", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 235.87 kg\n Factor of Safety: 0.90\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.87464845413484, + "fos_buckling": 0.9021136176800545, + "fos_yielding": 5.475215709719406, + "deflection": 0.012546112324466745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_3047", + "improvement_over_parent": null + }, + "node_3049": { + "node_id": "node_3049", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.54 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.54493226039193, + "fos_buckling": 1.5348880883457479, + "fos_yielding": 7.746591806857339, + "deflection": 0.011483854705468083, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_3048", + "improvement_over_parent": null + }, + "node_3050": { + "node_id": "node_3050", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3049", + "improvement_over_parent": null + }, + "node_3051": { + "node_id": "node_3051", + "content": "INITIAL DESIGN (Trace 433)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3052": { + "node_id": "node_3052", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n\nPerformance:\n Mass: 125.32 kg\n Factor of Safety: 0.51\n Max Deflection: 2.42e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.31681476057345, + "fos_buckling": 0.5056988655774702, + "fos_yielding": 2.7881072968600735, + "deflection": 0.02420171155580915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003240)" + }, + "parent_node_id": "node_3051", + "improvement_over_parent": null + }, + "node_3053": { + "node_id": "node_3053", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0035)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n\nPerformance:\n Mass: 134.97 kg\n Factor of Safety: 0.86\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.96564680379348, + "fos_buckling": 0.8635901182480834, + "fos_yielding": 4.333755337458493, + "deflection": 0.021196378891292958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003427)" + }, + "parent_node_id": "node_3052", + "improvement_over_parent": null + }, + "node_3054": { + "node_id": "node_3054", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 171.47 kg\n Factor of Safety: 1.07\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.47288757222853, + "fos_buckling": 1.0732826066413554, + "fos_yielding": 5.505991348123666, + "deflection": 0.01675336210207184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_3053", + "improvement_over_parent": null + }, + "node_3055": { + "node_id": "node_3055", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 193.88 kg\n Factor of Safety: 1.20\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.88458933339632, + "fos_buckling": 1.1970205684933082, + "fos_yielding": 6.225507186487338, + "deflection": 0.014854668223115958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_3054", + "improvement_over_parent": null + }, + "node_3056": { + "node_id": "node_3056", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 248.89 kg\n Factor of Safety: 1.48\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.88892622433883, + "fos_buckling": 1.4846859092581843, + "fos_yielding": 7.990747617162229, + "deflection": 0.011644196764870406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_3055", + "improvement_over_parent": null + }, + "node_3057": { + "node_id": "node_3057", + "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.37 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.366016986327, + "fos_buckling": 1.5340110264651652, + "fos_yielding": 7.7415635432909795, + "deflection": 0.011491677839369892, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.242)" + }, + "parent_node_id": "node_3056", + "improvement_over_parent": null + }, + "node_3058": { + "node_id": "node_3058", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3057", + "improvement_over_parent": null + }, + "node_3059": { + "node_id": "node_3059", + "content": "INITIAL DESIGN (Trace 434)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n\nPerformance:\n Mass: 123.37 kg\n Factor of Safety: 0.49\n Max Deflection: 3.67e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.36699924025346, + "fos_buckling": 0.48733934648581484, + "fos_yielding": 2.773267479652996, + "deflection": 0.0367443954106605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3060": { + "node_id": "node_3060", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0038)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0034)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n Mass: 123.73 kg\n Factor of Safety: 0.49\n Max Deflection: 2.49e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.73368218233304, + "fos_buckling": 0.4872701780635664, + "fos_yielding": 2.657460364041669, + "deflection": 0.024906214414378805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001064)" + }, + "parent_node_id": "node_3059", + "improvement_over_parent": null + }, + "node_3061": { + "node_id": "node_3061", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n\nPerformance:\n Mass: 137.98 kg\n Factor of Safety: 0.54\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.9792294593603, + "fos_buckling": 0.5365227223320622, + "fos_yielding": 2.955786338880666, + "deflection": 0.02237494437091894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_3060", + "improvement_over_parent": null + }, + "node_3062": { + "node_id": "node_3062", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0043)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0042)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0038)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n\nPerformance:\n Mass: 146.53 kg\n Factor of Safety: 0.97\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.528986834243, + "fos_buckling": 0.9679308759504004, + "fos_yielding": 4.489168860934014, + "deflection": 0.0195543797871075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003480)" + }, + "parent_node_id": "node_3061", + "improvement_over_parent": null + }, + "node_3063": { + "node_id": "node_3063", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n\nPerformance:\n Mass: 172.62 kg\n Factor of Safety: 1.12\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.61727845844422, + "fos_buckling": 1.1176568047321143, + "fos_yielding": 5.290005097783724, + "deflection": 0.016648840061395682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_3062", + "improvement_over_parent": null + }, + "node_3064": { + "node_id": "node_3064", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n\nPerformance:\n Mass: 221.87 kg\n Factor of Safety: 1.38\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.870199315331, + "fos_buckling": 1.3821029378137275, + "fos_yielding": 6.803231817700672, + "deflection": 0.013026095058513869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3063", + "improvement_over_parent": null + }, + "node_3065": { + "node_id": "node_3065", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.36435945640193, + "fos_buckling": 1.534008637589708, + "fos_yielding": 7.740976576274099, + "deflection": 0.01149190651963191, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_3064", + "improvement_over_parent": null + }, + "node_3066": { + "node_id": "node_3066", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3065", + "improvement_over_parent": null + }, + "node_3067": { + "node_id": "node_3067", + "content": "INITIAL DESIGN (Trace 435)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 229.69 kg\n Factor of Safety: 0.43\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.69455645791845, + "fos_buckling": 0.4288036525694908, + "fos_yielding": 4.180880936094657, + "deflection": 0.013675357263606764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3068": { + "node_id": "node_3068", + "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 229.97 kg\n Factor of Safety: 0.42\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.96823537910726, + "fos_buckling": 0.42451378208497925, + "fos_yielding": 4.180880936094657, + "deflection": 0.01366379141724946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.220)" + }, + "parent_node_id": "node_3067", + "improvement_over_parent": null + }, + "node_3069": { + "node_id": "node_3069", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 248.82 kg\n Factor of Safety: 1.44\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.81628339441946, + "fos_buckling": 1.4372970382608734, + "fos_yielding": 6.073730328918231, + "deflection": 0.011664324662758234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_3068", + "improvement_over_parent": null + }, + "node_3070": { + "node_id": "node_3070", + "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 249.41 kg\n Factor of Safety: 1.53\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 249.4087536905132, + "fos_buckling": 1.534573660167318, + "fos_yielding": 7.723187760096831, + "deflection": 0.011560790245490343, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.333)" + }, + "parent_node_id": "node_3069", + "improvement_over_parent": null + }, + "node_3071": { + "node_id": "node_3071", + "content": "MODIFICATION: Increase 14 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0083)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 253.20 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.19531363528154, + "fos_buckling": 1.534138836288184, + "fos_yielding": 7.706282181331814, + "deflection": 0.011477519582780416, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.229)" + }, + "parent_node_id": "node_3070", + "improvement_over_parent": null + }, + "node_3072": { + "node_id": "node_3072", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3071", + "improvement_over_parent": null + }, + "node_3073": { + "node_id": "node_3073", + "content": "INITIAL DESIGN (Trace 436)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0041)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0035)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0031)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0037)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0034)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0033)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0033)]\n\nPerformance:\n Mass: 128.29 kg\n Factor of Safety: 0.45\n Max Deflection: 3.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.29365896249223, + "fos_buckling": 0.4520339366652623, + "fos_yielding": 2.4006934196302345, + "deflection": 0.030164001204546806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3074": { + "node_id": "node_3074", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 162.85 kg\n Factor of Safety: 0.56\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.84973702103053, + "fos_buckling": 0.5604390683473018, + "fos_yielding": 3.0459311821764796, + "deflection": 0.023831448113933628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_3073", + "improvement_over_parent": null + }, + "node_3075": { + "node_id": "node_3075", + "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 164.72 kg\n Factor of Safety: 0.56\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.71838226826807, + "fos_buckling": 0.5612955981436197, + "fos_yielding": 2.9492762636271115, + "deflection": 0.023732862838920392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.239)" + }, + "parent_node_id": "node_3074", + "improvement_over_parent": null + }, + "node_3076": { + "node_id": "node_3076", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n\nPerformance:\n Mass: 166.40 kg\n Factor of Safety: 1.08\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.39789023029402, + "fos_buckling": 1.0826719200853365, + "fos_yielding": 5.103082595533418, + "deflection": 0.017257974198903438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002595)" + }, + "parent_node_id": "node_3075", + "improvement_over_parent": null + }, + "node_3077": { + "node_id": "node_3077", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n Mass: 195.59 kg\n Factor of Safety: 1.24\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.5935942680839, + "fos_buckling": 1.2440818050073406, + "fos_yielding": 6.000399829463789, + "deflection": 0.014731106730828055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_3076", + "improvement_over_parent": null + }, + "node_3078": { + "node_id": "node_3078", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.43866382275584, + "fos_buckling": 1.5344957982407963, + "fos_yielding": 7.749169036376006, + "deflection": 0.011488097512345948, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_3077", + "improvement_over_parent": null + }, + "node_3079": { + "node_id": "node_3079", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3078", + "improvement_over_parent": null + }, + "node_3080": { + "node_id": "node_3080", + "content": "INITIAL DESIGN (Trace 437)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 149.25 kg\n Factor of Safety: 0.81\n Max Deflection: 1.51e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.24796408883537, + "fos_buckling": 0.807419310307032, + "fos_yielding": 3.389831017503978, + "deflection": 15061749454292.707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3081": { + "node_id": "node_3081", + "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 149.40 kg\n Factor of Safety: 0.81\n Max Deflection: 9.71e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.39774593845698, + "fos_buckling": 0.807419310307032, + "fos_yielding": 3.389831017503978, + "deflection": 9713904601002.307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.439)" + }, + "parent_node_id": "node_3080", + "improvement_over_parent": null + }, + "node_3082": { + "node_id": "node_3082", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 174.16 kg\n Factor of Safety: 0.11\n Max Deflection: 5.29e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.16437245428617, + "fos_buckling": 0.1093758913194257, + "fos_yielding": 0.8474577543759946, + "deflection": 52930535873349.82, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_3081", + "improvement_over_parent": null + }, + "node_3083": { + "node_id": "node_3083", + "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 174.55 kg\n Factor of Safety: 0.05\n Max Deflection: 5.29e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.55476237445814, + "fos_buckling": 0.05468794565971285, + "fos_yielding": 0.8474577543759945, + "deflection": 52930535873349.82, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.420)" + }, + "parent_node_id": "node_3082", + "improvement_over_parent": null + }, + "node_3084": { + "node_id": "node_3084", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n Mass: 197.64 kg\n Factor of Safety: 0.80\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.63642589973205, + "fos_buckling": 0.8026763356490275, + "fos_yielding": 5.808068655016665, + "deflection": 0.0172678729083383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006827)" + }, + "parent_node_id": "node_3083", + "improvement_over_parent": null + }, + "node_3085": { + "node_id": "node_3085", + "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n Mass: 198.23 kg\n Factor of Safety: 0.80\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.23007756720872, + "fos_buckling": 0.8026763356490275, + "fos_yielding": 5.808068655016666, + "deflection": 0.0172678729083383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.527)" + }, + "parent_node_id": "node_3084", + "improvement_over_parent": null + }, + "node_3086": { + "node_id": "node_3086", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 233.06 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.06335616017736, + "fos_buckling": 0.9157352064967599, + "fos_yielding": 6.804784839392714, + "deflection": 0.014745140901947843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_3085", + "improvement_over_parent": null + }, + "node_3087": { + "node_id": "node_3087", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.33 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.32959698108468, + "fos_buckling": 1.5344222878408504, + "fos_yielding": 7.7393082478355355, + "deflection": 0.011493179832625341, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_3086", + "improvement_over_parent": null + }, + "node_3088": { + "node_id": "node_3088", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3087", + "improvement_over_parent": null + }, + "node_3089": { + "node_id": "node_3089", + "content": "INITIAL DESIGN (Trace 438)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 161.04 kg\n Factor of Safety: 1.03\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.03688087567693, + "fos_buckling": 1.0312867111665918, + "fos_yielding": 4.99244809948908, + "deflection": 0.017795931368190878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3090": { + "node_id": "node_3090", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 189.05 kg\n Factor of Safety: 1.18\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.05371397942903, + "fos_buckling": 1.1844923229280095, + "fos_yielding": 5.859387173044821, + "deflection": 0.015207395985927514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_3089", + "improvement_over_parent": null + }, + "node_3091": { + "node_id": "node_3091", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 210.78 kg\n Factor of Safety: 1.30\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.7758094802361, + "fos_buckling": 1.2980452753050304, + "fos_yielding": 6.531108704890592, + "deflection": 0.013674047966961306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_3090", + "improvement_over_parent": null + }, + "node_3092": { + "node_id": "node_3092", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 211.38 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.37570981506988, + "fos_buckling": 1.3004679285549618, + "fos_yielding": 6.814661672909418, + "deflection": 0.013634282692588682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001794)" + }, + "parent_node_id": "node_3091", + "improvement_over_parent": null + }, + "node_3093": { + "node_id": "node_3093", + "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0066)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n\nPerformance:\n Mass: 214.38 kg\n Factor of Safety: 1.30\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.3750896482281, + "fos_buckling": 1.2988743098165694, + "fos_yielding": 6.692193455953139, + "deflection": 0.01357075651712864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.233)" + }, + "parent_node_id": "node_3092", + "improvement_over_parent": null + }, + "node_3094": { + "node_id": "node_3094", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0079)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 251.83 kg\n Factor of Safety: 1.48\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.82842675099508, + "fos_buckling": 1.4814374650758964, + "fos_yielding": 7.864804603356264, + "deflection": 0.01159988281536003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_3093", + "improvement_over_parent": null + }, + "node_3095": { + "node_id": "node_3095", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3094", + "improvement_over_parent": null + }, + "node_3096": { + "node_id": "node_3096", + "content": "INITIAL DESIGN (Trace 439)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 144.30 kg\n Factor of Safety: 0.34\n Max Deflection: 4.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.29645137205017, + "fos_buckling": 0.33787681809969883, + "fos_yielding": 1.3703087723454637, + "deflection": 0.0410391153356932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3097": { + "node_id": "node_3097", + "content": "MODIFICATION: Increase 10 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 147.40 kg\n Factor of Safety: 0.34\n Max Deflection: 4.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.3956826892131, + "fos_buckling": 0.3377233868963335, + "fos_yielding": 1.3698761024204245, + "deflection": 0.040197280792245695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.370)" + }, + "parent_node_id": "node_3096", + "improvement_over_parent": null + }, + "node_3098": { + "node_id": "node_3098", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 161.29 kg\n Factor of Safety: 0.34\n Max Deflection: 3.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.28969633963396, + "fos_buckling": 0.33726565636100286, + "fos_yielding": 1.3680323263968235, + "deflection": 0.03332323897534872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005007)" + }, + "parent_node_id": "node_3097", + "improvement_over_parent": null + }, + "node_3099": { + "node_id": "node_3099", + "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n\nPerformance:\n Mass: 163.97 kg\n Factor of Safety: 0.34\n Max Deflection: 3.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.96705011994666, + "fos_buckling": 0.33717759497866445, + "fos_yielding": 1.3676776039678915, + "deflection": 0.0330491253248932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.211)" + }, + "parent_node_id": "node_3098", + "improvement_over_parent": null + }, + "node_3100": { + "node_id": "node_3100", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 194.16 kg\n Factor of Safety: 0.39\n Max Deflection: 2.80e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.16489710780144, + "fos_buckling": 0.38904327701653846, + "fos_yielding": 1.6128637947172146, + "deflection": 0.028015426530723555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_3099", + "improvement_over_parent": null + }, + "node_3101": { + "node_id": "node_3101", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 227.40 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.39575823488897, + "fos_buckling": 0.44251961959193103, + "fos_yielding": 1.880342463366935, + "deflection": 0.02402125125449805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_3100", + "improvement_over_parent": null + }, + "node_3102": { + "node_id": "node_3102", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.51789988673582, + "fos_buckling": 1.5346497636620329, + "fos_yielding": 7.74652019510973, + "deflection": 0.01148489235848864, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_3101", + "improvement_over_parent": null + }, + "node_3103": { + "node_id": "node_3103", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3102", + "improvement_over_parent": null + }, + "node_3104": { + "node_id": "node_3104", + "content": "INITIAL DESIGN (Trace 440)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 204.98 kg\n Factor of Safety: 0.82\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.98178371406783, + "fos_buckling": 0.8201622713432806, + "fos_yielding": 4.8812328771858, + "deflection": 0.014332396281612675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3105": { + "node_id": "node_3105", + "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 210.24 kg\n Factor of Safety: 0.82\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.24202871783444, + "fos_buckling": 0.8201622713432805, + "fos_yielding": 4.887698041534542, + "deflection": 0.014038164323231676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.333)" + }, + "parent_node_id": "node_3104", + "improvement_over_parent": null + }, + "node_3106": { + "node_id": "node_3106", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n Mass: 225.10 kg\n Factor of Safety: 1.40\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.10371576390463, + "fos_buckling": 1.3987376430428546, + "fos_yielding": 6.9037491243482245, + "deflection": 0.012843847271538315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005631)" + }, + "parent_node_id": "node_3105", + "improvement_over_parent": null + }, + "node_3107": { + "node_id": "node_3107", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55356305768936, + "fos_buckling": 1.53502953307127, + "fos_yielding": 7.748032693115104, + "deflection": 0.011483662932678796, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_3106", + "improvement_over_parent": null + }, + "node_3108": { + "node_id": "node_3108", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3107", + "improvement_over_parent": null + }, + "node_3109": { + "node_id": "node_3109", + "content": "INITIAL DESIGN (Trace 441)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 150.32 kg\n Factor of Safety: 0.52\n Max Deflection: 2.63e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.31988604849016, + "fos_buckling": 0.5217638704492454, + "fos_yielding": 3.5362522057211567, + "deflection": 0.02628649339565558, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3110": { + "node_id": "node_3110", + "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 150.60 kg\n Factor of Safety: 0.52\n Max Deflection: 2.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.60119264532713, + "fos_buckling": 0.5217352508186061, + "fos_yielding": 3.5360582363075936, + "deflection": 0.02627449486008238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.179)" + }, + "parent_node_id": "node_3109", + "improvement_over_parent": null + }, + "node_3111": { + "node_id": "node_3111", + "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 157.42 kg\n Factor of Safety: 0.69\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.4238656052128, + "fos_buckling": 0.6867215241438486, + "fos_yielding": 3.5337077090753928, + "deflection": 0.02355808310765247, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.517)" + }, + "parent_node_id": "node_3110", + "improvement_over_parent": null + }, + "node_3112": { + "node_id": "node_3112", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0038)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 171.16 kg\n Factor of Safety: 0.74\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.15761161145636, + "fos_buckling": 0.7404938048498118, + "fos_yielding": 3.5313451074333004, + "deflection": 0.021470260711075734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004980)" + }, + "parent_node_id": "node_3111", + "improvement_over_parent": null + }, + "node_3113": { + "node_id": "node_3113", + "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 176.93 kg\n Factor of Safety: 0.74\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.93080481252358, + "fos_buckling": 0.7400778038899744, + "fos_yielding": 5.290263707895092, + "deflection": 0.018969348036761605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.534)" + }, + "parent_node_id": "node_3112", + "improvement_over_parent": null + }, + "node_3114": { + "node_id": "node_3114", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n\nPerformance:\n Mass: 194.90 kg\n Factor of Safety: 1.24\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.90475029775428, + "fos_buckling": 1.2398820138478164, + "fos_yielding": 5.972776151523884, + "deflection": 0.014782333561573836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005697)" + }, + "parent_node_id": "node_3113", + "improvement_over_parent": null + }, + "node_3115": { + "node_id": "node_3115", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.61 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.61221190930792, + "fos_buckling": 1.5347652307217265, + "fos_yielding": 7.74637374537878, + "deflection": 0.01148067349267821, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_3114", + "improvement_over_parent": null + }, + "node_3116": { + "node_id": "node_3116", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3115", + "improvement_over_parent": null + }, + "node_3117": { + "node_id": "node_3117", + "content": "INITIAL DESIGN (Trace 442)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0027)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 111.21 kg\n Factor of Safety: 0.26\n Max Deflection: 3.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.20955260489241, + "fos_buckling": 0.261279536838161, + "fos_yielding": 1.8059540348014744, + "deflection": 0.0392546720630744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3118": { + "node_id": "node_3118", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0029)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 112.76 kg\n Factor of Safety: 0.25\n Max Deflection: 3.92e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.76238190450331, + "fos_buckling": 0.249494193364524, + "fos_yielding": 1.805954034801478, + "deflection": 0.03916273116214577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.239)" + }, + "parent_node_id": "node_3117", + "improvement_over_parent": null + }, + "node_3119": { + "node_id": "node_3119", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 117.44 kg\n Factor of Safety: 0.25\n Max Deflection: 3.62e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.44326682658152, + "fos_buckling": 0.2491471882547328, + "fos_yielding": 1.8051186588256118, + "deflection": 0.03623271887951861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.511)" + }, + "parent_node_id": "node_3118", + "improvement_over_parent": null + }, + "node_3120": { + "node_id": "node_3120", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n\nPerformance:\n Mass: 132.88 kg\n Factor of Safety: 0.25\n Max Deflection: 2.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.87849750643568, + "fos_buckling": 0.2487668833747901, + "fos_yielding": 3.05360129128207, + "deflection": 0.02331753740804113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004449)" + }, + "parent_node_id": "node_3119", + "improvement_over_parent": null + }, + "node_3121": { + "node_id": "node_3121", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n\nPerformance:\n Mass: 150.72 kg\n Factor of Safety: 0.28\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.7196078313421, + "fos_buckling": 0.27849088511191017, + "fos_yielding": 3.46429082005769, + "deflection": 0.02059263748828542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3120", + "improvement_over_parent": null + }, + "node_3122": { + "node_id": "node_3122", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n\nPerformance:\n Mass: 184.16 kg\n Factor of Safety: 0.33\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.15578567419735, + "fos_buckling": 0.3318586241484947, + "fos_yielding": 4.2344108060898265, + "deflection": 0.0169078319522208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_3121", + "improvement_over_parent": null + }, + "node_3123": { + "node_id": "node_3123", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n\nPerformance:\n Mass: 198.99 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.99399837873085, + "fos_buckling": 1.262281931139207, + "fos_yielding": 6.09963334479655, + "deflection": 0.014484602261484956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005235)" + }, + "parent_node_id": "node_3122", + "improvement_over_parent": null + }, + "node_3124": { + "node_id": "node_3124", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.82 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.82336215103854, + "fos_buckling": 1.5362866312905874, + "fos_yielding": 7.754415548010725, + "deflection": 0.011470792078826415, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_3123", + "improvement_over_parent": null + }, + "node_3125": { + "node_id": "node_3125", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3124", + "improvement_over_parent": null + }, + "node_3126": { + "node_id": "node_3126", + "content": "INITIAL DESIGN (Trace 443)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0032)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0013)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 111.07 kg\n Factor of Safety: 0.45\n Max Deflection: 4.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.07458065223064, + "fos_buckling": 0.44974129832735243, + "fos_yielding": 2.556630593351558, + "deflection": 0.04009908559623322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3127": { + "node_id": "node_3127", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 130.98 kg\n Factor of Safety: 0.52\n Max Deflection: 3.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.98467471792802, + "fos_buckling": 0.5209413182542905, + "fos_yielding": 3.0124979958350577, + "deflection": 0.03411157320199771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_3126", + "improvement_over_parent": null + }, + "node_3128": { + "node_id": "node_3128", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n\nPerformance:\n Mass: 131.38 kg\n Factor of Safety: 0.52\n Max Deflection: 2.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.37960904053733, + "fos_buckling": 0.5208618021200754, + "fos_yielding": 2.873900714926995, + "deflection": 0.023219701210828097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001150)" + }, + "parent_node_id": "node_3127", + "improvement_over_parent": null + }, + "node_3129": { + "node_id": "node_3129", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0041)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0034)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0035)]\n\nPerformance:\n Mass: 141.35 kg\n Factor of Safety: 0.90\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.35315552955228, + "fos_buckling": 0.9020219110997065, + "fos_yielding": 4.315987593932343, + "deflection": 0.020310092897569618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003548)" + }, + "parent_node_id": "node_3128", + "improvement_over_parent": null + }, + "node_3130": { + "node_id": "node_3130", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 171.59 kg\n Factor of Safety: 1.07\n Max Deflection: 1.68e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.59411312614236, + "fos_buckling": 1.0748595964563015, + "fos_yielding": 5.2247932395717855, + "deflection": 0.016788600720673324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_3129", + "improvement_over_parent": null + }, + "node_3131": { + "node_id": "node_3131", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0041)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 171.90 kg\n Factor of Safety: 1.11\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.90285343607746, + "fos_buckling": 1.1137327912809538, + "fos_yielding": 5.268200701783662, + "deflection": 0.016715992503200758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.287)" + }, + "parent_node_id": "node_3130", + "improvement_over_parent": null + }, + "node_3132": { + "node_id": "node_3132", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 219.88 kg\n Factor of Safety: 1.37\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.88044933857893, + "fos_buckling": 1.371979645714218, + "fos_yielding": 6.7422310484681125, + "deflection": 0.013140475867897697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_3131", + "improvement_over_parent": null + }, + "node_3133": { + "node_id": "node_3133", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 252.50 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.50327379079354, + "fos_buckling": 1.5347891512975558, + "fos_yielding": 7.745434592692282, + "deflection": 0.011485323887691237, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_3132", + "improvement_over_parent": null + }, + "node_3134": { + "node_id": "node_3134", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3133", + "improvement_over_parent": null + }, + "node_3135": { + "node_id": "node_3135", + "content": "INITIAL DESIGN (Trace 444)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 186.54 kg\n Factor of Safety: 0.78\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.54272250056837, + "fos_buckling": 0.7838932962411083, + "fos_yielding": 5.651100171686591, + "deflection": 0.018616707954215245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3136": { + "node_id": "node_3136", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 226.05 kg\n Factor of Safety: 0.92\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.05318642399118, + "fos_buckling": 0.9169216006162485, + "fos_yielding": 6.818065695104597, + "deflection": 0.015425422208871878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_3135", + "improvement_over_parent": null + }, + "node_3137": { + "node_id": "node_3137", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 245.32 kg\n Factor of Safety: 1.52\n Max Deflection: 1.22e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 245.3194272448985, + "fos_buckling": 1.5162691953607041, + "fos_yielding": 7.2991328645094775, + "deflection": 0.012209299334603152, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_3136", + "improvement_over_parent": null + }, + "node_3138": { + "node_id": "node_3138", + "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.32 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.32094496442616, + "fos_buckling": 1.5348094946303101, + "fos_yielding": 7.744256396920054, + "deflection": 0.011496903056722985, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.401)" + }, + "parent_node_id": "node_3137", + "improvement_over_parent": null + }, + "node_3139": { + "node_id": "node_3139", + "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0096)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 256.71 kg\n Factor of Safety: 1.58\n Max Deflection: 1.13e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.70679512927, + "fos_buckling": 1.5762624149794948, + "fos_yielding": 7.980254408072642, + "deflection": 0.011277209212303123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.181)" + }, + "parent_node_id": "node_3138", + "improvement_over_parent": null + }, + "node_3140": { + "node_id": "node_3140", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3139", + "improvement_over_parent": null + }, + "node_3141": { + "node_id": "node_3141", + "content": "INITIAL DESIGN (Trace 445)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 175.41 kg\n Factor of Safety: 0.32\n Max Deflection: 6.59e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.41031745536557, + "fos_buckling": 0.3226142270628038, + "fos_yielding": 2.348870051885453, + "deflection": 0.06585056610848289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3142": { + "node_id": "node_3142", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 195.19 kg\n Factor of Safety: 0.35\n Max Deflection: 5.93e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.18621294384752, + "fos_buckling": 0.35241144016639975, + "fos_yielding": 2.604816683481246, + "deflection": 0.059338709418533905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_3141", + "improvement_over_parent": null + }, + "node_3143": { + "node_id": "node_3143", + "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 195.75 kg\n Factor of Safety: 0.35\n Max Deflection: 5.93e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.75216812378574, + "fos_buckling": 0.3523730298071772, + "fos_yielding": 2.604533998078466, + "deflection": 0.059323399263282964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.368)" + }, + "parent_node_id": "node_3142", + "improvement_over_parent": null + }, + "node_3144": { + "node_id": "node_3144", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n Mass: 217.76 kg\n Factor of Safety: 1.31\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.75904618846334, + "fos_buckling": 1.31286919108742, + "fos_yielding": 6.578732976433407, + "deflection": 0.013201829430185143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007047)" + }, + "parent_node_id": "node_3143", + "improvement_over_parent": null + }, + "node_3145": { + "node_id": "node_3145", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 248.71 kg\n Factor of Safety: 1.46\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.71275844667443, + "fos_buckling": 1.4591985004213144, + "fos_yielding": 7.5140300192853555, + "deflection": 0.011600394668025702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_3144", + "improvement_over_parent": null + }, + "node_3146": { + "node_id": "node_3146", + "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.79 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.79016466714128, + "fos_buckling": 1.497693272855507, + "fos_yielding": 7.430423455168633, + "deflection": 0.01152052640683313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.274)" + }, + "parent_node_id": "node_3145", + "improvement_over_parent": null + }, + "node_3147": { + "node_id": "node_3147", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.49448551406232, + "fos_buckling": 1.534634362676658, + "fos_yielding": 7.747212601096619, + "deflection": 0.011485713670836556, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_3146", + "improvement_over_parent": null + }, + "node_3148": { + "node_id": "node_3148", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3147", + "improvement_over_parent": null + }, + "node_3149": { + "node_id": "node_3149", + "content": "INITIAL DESIGN (Trace 446)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0041)]\n\nPerformance:\n Mass: 159.11 kg\n Factor of Safety: 0.54\n Max Deflection: 2.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.11439456937114, + "fos_buckling": 0.5442407113127117, + "fos_yielding": 2.8486322610613017, + "deflection": 0.024558457243210652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3150": { + "node_id": "node_3150", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 191.81 kg\n Factor of Safety: 0.64\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.81215805668168, + "fos_buckling": 0.6415961223573154, + "fos_yielding": 3.433254470384602, + "deflection": 0.020425214515388406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_3149", + "improvement_over_parent": null + }, + "node_3151": { + "node_id": "node_3151", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0057)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n\nPerformance:\n Mass: 193.77 kg\n Factor of Safety: 1.23\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.76549449058376, + "fos_buckling": 1.234120985215765, + "fos_yielding": 5.93748765230736, + "deflection": 0.014867606264785383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003048)" + }, + "parent_node_id": "node_3150", + "improvement_over_parent": null + }, + "node_3152": { + "node_id": "node_3152", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55176355088759, + "fos_buckling": 1.5349248225963095, + "fos_yielding": 7.7441260028369285, + "deflection": 0.011483565486015045, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_3151", + "improvement_over_parent": null + }, + "node_3153": { + "node_id": "node_3153", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3152", + "improvement_over_parent": null + }, + "node_3154": { + "node_id": "node_3154", + "content": "INITIAL DESIGN (Trace 447)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n\nPerformance:\n Mass: 138.24 kg\n Factor of Safety: 0.59\n Max Deflection: 2.46e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.24150891912774, + "fos_buckling": 0.588345136907029, + "fos_yielding": 4.07535400484727, + "deflection": 0.024595344576480136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3155": { + "node_id": "node_3155", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n\nPerformance:\n Mass: 149.66 kg\n Factor of Safety: 0.99\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.6614459737567, + "fos_buckling": 0.9862850261473542, + "fos_yielding": 4.585447207424865, + "deflection": 0.019151718754007778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004068)" + }, + "parent_node_id": "node_3154", + "improvement_over_parent": null + }, + "node_3156": { + "node_id": "node_3156", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n\nPerformance:\n Mass: 185.16 kg\n Factor of Safety: 1.19\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.15761377354812, + "fos_buckling": 1.187263900551224, + "fos_yielding": 5.675305685898192, + "deflection": 0.015543339812033215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_3155", + "improvement_over_parent": null + }, + "node_3157": { + "node_id": "node_3157", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n\nPerformance:\n Mass: 209.55 kg\n Factor of Safety: 1.32\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.5480438323321, + "fos_buckling": 1.318189831307739, + "fos_yielding": 6.424690559715287, + "deflection": 0.013772511511760194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3156", + "improvement_over_parent": null + }, + "node_3158": { + "node_id": "node_3158", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.48040116202134, + "fos_buckling": 1.5345962106778208, + "fos_yielding": 7.74478201486932, + "deflection": 0.011486619901047717, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_3157", + "improvement_over_parent": null + }, + "node_3159": { + "node_id": "node_3159", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3158", + "improvement_over_parent": null + }, + "node_3160": { + "node_id": "node_3160", + "content": "INITIAL DESIGN (Trace 448)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 142.97 kg\n Factor of Safety: 0.46\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.97079241262648, + "fos_buckling": 0.45562592157288995, + "fos_yielding": 2.943722269556869, + "deflection": 11847011280095.096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3161": { + "node_id": "node_3161", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 171.10 kg\n Factor of Safety: 0.37\n Max Deflection: 1.06e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.0982285663912, + "fos_buckling": 0.3674557126463138, + "fos_yielding": 3.9437870821908323, + "deflection": 10572178260659.656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_3160", + "improvement_over_parent": null + }, + "node_3162": { + "node_id": "node_3162", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n\nPerformance:\n Mass: 183.00 kg\n Factor of Safety: 0.66\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.99994575300965, + "fos_buckling": 0.6638230219541279, + "fos_yielding": 4.833671227581837, + "deflection": 0.017830114450841168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004946)" + }, + "parent_node_id": "node_3161", + "improvement_over_parent": null + }, + "node_3163": { + "node_id": "node_3163", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n\nPerformance:\n Mass: 196.47 kg\n Factor of Safety: 1.15\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.4744201344384, + "fos_buckling": 1.1502037514379695, + "fos_yielding": 6.411521148748503, + "deflection": 0.014599914042023788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005065)" + }, + "parent_node_id": "node_3162", + "improvement_over_parent": null + }, + "node_3164": { + "node_id": "node_3164", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 243.31 kg\n Factor of Safety: 1.39\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.3106369902428, + "fos_buckling": 1.3882346736991216, + "fos_yielding": 7.932124541674993, + "deflection": 0.011852962034292692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_3163", + "improvement_over_parent": null + }, + "node_3165": { + "node_id": "node_3165", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 244.01 kg\n Factor of Safety: 1.38\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.01495783716385, + "fos_buckling": 1.3848921421671372, + "fos_yielding": 8.199402472117338, + "deflection": 0.011834617496799888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_3164", + "improvement_over_parent": null + }, + "node_3166": { + "node_id": "node_3166", + "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 249.28 kg\n Factor of Safety: 1.54\n Max Deflection: 1.16e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 249.27611625057384, + "fos_buckling": 1.5360316611900173, + "fos_yielding": 7.77686016174526, + "deflection": 0.01158296505116898, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.412)" + }, + "parent_node_id": "node_3165", + "improvement_over_parent": null + }, + "node_3167": { + "node_id": "node_3167", + "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.68 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.68081966828808, + "fos_buckling": 1.5355510108222383, + "fos_yielding": 7.752423595662808, + "deflection": 0.011477386553482936, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.311)" + }, + "parent_node_id": "node_3166", + "improvement_over_parent": null + }, + "node_3168": { + "node_id": "node_3168", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3167", + "improvement_over_parent": null + }, + "node_3169": { + "node_id": "node_3169", + "content": "INITIAL DESIGN (Trace 449)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n\nPerformance:\n Mass: 175.13 kg\n Factor of Safety: 0.39\n Max Deflection: 3.31e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.13457550546246, + "fos_buckling": 0.3930297170604896, + "fos_yielding": 1.694915508751989, + "deflection": 33060897147099.703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3170": { + "node_id": "node_3170", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n\nPerformance:\n Mass: 191.78 kg\n Factor of Safety: 0.71\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.77650773984922, + "fos_buckling": 0.705211220683481, + "fos_yielding": 5.196782660158086, + "deflection": 0.016096726574505824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005925)" + }, + "parent_node_id": "node_3169", + "improvement_over_parent": null + }, + "node_3171": { + "node_id": "node_3171", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n\nPerformance:\n Mass: 206.49 kg\n Factor of Safety: 0.40\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.4947037472788, + "fos_buckling": 0.4042196792211214, + "fos_yielding": 5.175106632727737, + "deflection": 0.01527553878341071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005572)" + }, + "parent_node_id": "node_3170", + "improvement_over_parent": null + }, + "node_3172": { + "node_id": "node_3172", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 233.75 kg\n Factor of Safety: 0.45\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.7469641279565, + "fos_buckling": 0.44583533640675405, + "fos_yielding": 5.8222857677630815, + "deflection": 0.013541850177223801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_3171", + "improvement_over_parent": null + }, + "node_3173": { + "node_id": "node_3173", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3624901843238, + "fos_buckling": 1.5339910554443341, + "fos_yielding": 7.740783024918548, + "deflection": 0.01149200859161457, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_3172", + "improvement_over_parent": null + }, + "node_3174": { + "node_id": "node_3174", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3173", + "improvement_over_parent": null + }, + "node_3175": { + "node_id": "node_3175", + "content": "INITIAL DESIGN (Trace 450)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0036)]\n\nPerformance:\n Mass: 186.21 kg\n Factor of Safety: 1.00\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.2113924747169, + "fos_buckling": 1.0037742341892166, + "fos_yielding": 6.38233486667722, + "deflection": 0.01526651017819571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3176": { + "node_id": "node_3176", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 238.20 kg\n Factor of Safety: 1.24\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.20232885394077, + "fos_buckling": 1.2432699546444104, + "fos_yielding": 8.154893917084127, + "deflection": 0.012007816374704813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_3175", + "improvement_over_parent": null + }, + "node_3177": { + "node_id": "node_3177", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 243.32 kg\n Factor of Safety: 1.24\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.32084459985134, + "fos_buckling": 1.24323608139791, + "fos_yielding": 7.749958632220619, + "deflection": 0.011764684048788237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.397)" + }, + "parent_node_id": "node_3176", + "improvement_over_parent": null + }, + "node_3178": { + "node_id": "node_3178", + "content": "MODIFICATION: Increase 14 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 247.21 kg\n Factor of Safety: 1.32\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.2052148920188, + "fos_buckling": 1.3158521719786496, + "fos_yielding": 7.774752671506918, + "deflection": 0.011648386214139798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.307)" + }, + "parent_node_id": "node_3177", + "improvement_over_parent": null + }, + "node_3179": { + "node_id": "node_3179", + "content": "MODIFICATION: Increase 15 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.34 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.33685924790245, + "fos_buckling": 1.5340557861085737, + "fos_yielding": 7.739945260448096, + "deflection": 0.011492663675719834, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.418)" + }, + "parent_node_id": "node_3178", + "improvement_over_parent": null + }, + "node_3180": { + "node_id": "node_3180", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3179", + "improvement_over_parent": null + }, + "node_3181": { + "node_id": "node_3181", + "content": "INITIAL DESIGN (Trace 451)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 174.75 kg\n Factor of Safety: 0.90\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.74587347020568, + "fos_buckling": 0.9047254227734765, + "fos_yielding": 5.4724349184927075, + "deflection": 0.017089187086906443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3182": { + "node_id": "node_3182", + "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 181.13 kg\n Factor of Safety: 1.07\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.12531796044118, + "fos_buckling": 1.0675509751024415, + "fos_yielding": 5.946968210898275, + "deflection": 0.01589693399148554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.567)" + }, + "parent_node_id": "node_3181", + "improvement_over_parent": null + }, + "node_3183": { + "node_id": "node_3183", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 218.61 kg\n Factor of Safety: 1.26\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.6105190621669, + "fos_buckling": 1.2622145927725232, + "fos_yielding": 7.1759966644015964, + "deflection": 0.013226782648279922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_3182", + "improvement_over_parent": null + }, + "node_3184": { + "node_id": "node_3184", + "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 222.96 kg\n Factor of Safety: 1.39\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.9607859390535, + "fos_buckling": 1.3878533303381555, + "fos_yielding": 6.8381558573919925, + "deflection": 0.012964459194436227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.372)" + }, + "parent_node_id": "node_3183", + "improvement_over_parent": null + }, + "node_3185": { + "node_id": "node_3185", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.38571999376651, + "fos_buckling": 1.5342856705160628, + "fos_yielding": 7.7432004161344565, + "deflection": 0.011491371627198278, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_3184", + "improvement_over_parent": null + }, + "node_3186": { + "node_id": "node_3186", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3185", + "improvement_over_parent": null + }, + "node_3187": { + "node_id": "node_3187", + "content": "INITIAL DESIGN (Trace 452)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 208.25 kg\n Factor of Safety: 0.42\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.24958737827401, + "fos_buckling": 0.4248680599608044, + "fos_yielding": 4.096127986861527, + "deflection": 0.017086636151925832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3188": { + "node_id": "node_3188", + "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 208.35 kg\n Factor of Safety: 0.47\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.34971637227713, + "fos_buckling": 0.473435502069018, + "fos_yielding": 4.095973411275128, + "deflection": 0.01707096183784243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.182)" + }, + "parent_node_id": "node_3187", + "improvement_over_parent": null + }, + "node_3189": { + "node_id": "node_3189", + "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 214.09 kg\n Factor of Safety: 0.41\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.09486183570687, + "fos_buckling": 0.4116163943029896, + "fos_yielding": 4.089332582887845, + "deflection": 0.016969454557806355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.577)" + }, + "parent_node_id": "node_3188", + "improvement_over_parent": null + }, + "node_3190": { + "node_id": "node_3190", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 227.98 kg\n Factor of Safety: 0.92\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.98449267811787, + "fos_buckling": 0.9160065249570766, + "fos_yielding": 6.810931530313949, + "deflection": 0.014920090855809436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004912)" + }, + "parent_node_id": "node_3189", + "improvement_over_parent": null + }, + "node_3191": { + "node_id": "node_3191", + "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 228.47 kg\n Factor of Safety: 0.92\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.47466025778553, + "fos_buckling": 0.916006524957077, + "fos_yielding": 6.810931530313949, + "deflection": 0.014878978282236272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.468)" + }, + "parent_node_id": "node_3190", + "improvement_over_parent": null + }, + "node_3192": { + "node_id": "node_3192", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 247.74 kg\n Factor of Safety: 1.34\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.74090107869284, + "fos_buckling": 1.3405000341740483, + "fos_yielding": 7.776105303683882, + "deflection": 0.011627071164097124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_3191", + "improvement_over_parent": null + }, + "node_3193": { + "node_id": "node_3193", + "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0098)]\n\nPerformance:\n Mass: 254.05 kg\n Factor of Safety: 1.34\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.04641049069093, + "fos_buckling": 1.340238578256724, + "fos_yielding": 7.482997252269979, + "deflection": 0.011439516430867384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.374)" + }, + "parent_node_id": "node_3192", + "improvement_over_parent": null + }, + "node_3194": { + "node_id": "node_3194", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3193", + "improvement_over_parent": null + }, + "node_3195": { + "node_id": "node_3195", + "content": "INITIAL DESIGN (Trace 453)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 173.30 kg\n Factor of Safety: 0.66\n Max Deflection: 1.06e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.3041995642849, + "fos_buckling": 0.65764488654593, + "fos_yielding": 6.42994092261604, + "deflection": 10598256943723.623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3196": { + "node_id": "node_3196", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n\nPerformance:\n Mass: 186.41 kg\n Factor of Safety: 0.70\n Max Deflection: 2.46e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.41201017224404, + "fos_buckling": 0.6956262809487209, + "fos_yielding": 4.177712657176318, + "deflection": 0.024580754280215063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004917)" + }, + "parent_node_id": "node_3195", + "improvement_over_parent": null + }, + "node_3197": { + "node_id": "node_3197", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n Mass: 197.99 kg\n Factor of Safety: 1.23\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.99103323972184, + "fos_buckling": 1.2342302190928458, + "fos_yielding": 5.838872852282973, + "deflection": 0.01456188286239145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004802)" + }, + "parent_node_id": "node_3196", + "improvement_over_parent": null + }, + "node_3198": { + "node_id": "node_3198", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n\nPerformance:\n Mass: 198.54 kg\n Factor of Safety: 1.26\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.54485872606062, + "fos_buckling": 1.2598603620649267, + "fos_yielding": 6.086584019988766, + "deflection": 0.014517451608161468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001646)" + }, + "parent_node_id": "node_3197", + "improvement_over_parent": null + }, + "node_3199": { + "node_id": "node_3199", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.62 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.619959529705, + "fos_buckling": 1.535288080751101, + "fos_yielding": 7.7490907977791155, + "deflection": 0.011480406819610725, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_3198", + "improvement_over_parent": null + }, + "node_3200": { + "node_id": "node_3200", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3199", + "improvement_over_parent": null + }, + "node_3201": { + "node_id": "node_3201", + "content": "INITIAL DESIGN (Trace 454)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0030)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 121.01 kg\n Factor of Safety: 0.29\n Max Deflection: 4.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.00679479374828, + "fos_buckling": 0.2930600157520625, + "fos_yielding": 1.1441775952750646, + "deflection": 0.04897848308216837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3202": { + "node_id": "node_3202", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0057)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0061)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0047)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0050)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n\nPerformance:\n Mass: 148.65 kg\n Factor of Safety: 0.35\n Max Deflection: 4.00e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.65369506455164, + "fos_buckling": 0.35053318099402375, + "fos_yielding": 1.4000987815680137, + "deflection": 0.04000333596326467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_3201", + "improvement_over_parent": null + }, + "node_3203": { + "node_id": "node_3203", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 168.35 kg\n Factor of Safety: 0.39\n Max Deflection: 3.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.34556346137447, + "fos_buckling": 0.3893551330996582, + "fos_yielding": 1.5811729943126398, + "deflection": 0.035408408773894604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_3202", + "improvement_over_parent": null + }, + "node_3204": { + "node_id": "node_3204", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 170.66 kg\n Factor of Safety: 0.39\n Max Deflection: 3.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.65811170615325, + "fos_buckling": 0.38931125464513366, + "fos_yielding": 1.613492289752868, + "deflection": 0.03525944564088797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.244)" + }, + "parent_node_id": "node_3203", + "improvement_over_parent": null + }, + "node_3205": { + "node_id": "node_3205", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n\nPerformance:\n Mass: 193.77 kg\n Factor of Safety: 0.39\n Max Deflection: 2.81e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.77416834960673, + "fos_buckling": 0.388436113783431, + "fos_yielding": 1.609894883521211, + "deflection": 0.028068365431583718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006838)" + }, + "parent_node_id": "node_3204", + "improvement_over_parent": null + }, + "node_3206": { + "node_id": "node_3206", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.64036850975597, + "fos_buckling": 0.4429468658720509, + "fos_yielding": 1.8825210939285293, + "deflection": 0.023994348835608133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_3205", + "improvement_over_parent": null + }, + "node_3207": { + "node_id": "node_3207", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.76 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.76251016160282, + "fos_buckling": 1.5355530138624913, + "fos_yielding": 7.755649695416219, + "deflection": 0.011475246084568989, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_3206", + "improvement_over_parent": null + }, + "node_3208": { + "node_id": "node_3208", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3207", + "improvement_over_parent": null + }, + "node_3209": { + "node_id": "node_3209", + "content": "INITIAL DESIGN (Trace 455)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0030)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 153.21 kg\n Factor of Safety: 0.77\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.21334048172392, + "fos_buckling": 0.7704431861941812, + "fos_yielding": 4.5083416992242915, + "deflection": 0.019171460630008956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3210": { + "node_id": "node_3210", + "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0030)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 154.76 kg\n Factor of Safety: 0.77\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.75582936738303, + "fos_buckling": 0.7696814434701424, + "fos_yielding": 4.445686080000868, + "deflection": 0.019097123041028126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.179)" + }, + "parent_node_id": "node_3209", + "improvement_over_parent": null + }, + "node_3211": { + "node_id": "node_3211", + "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0048)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0051)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0044)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0025)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0020)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0047)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0042)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0041)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0042)]\n\nPerformance:\n Mass: 161.42 kg\n Factor of Safety: 1.05\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.41821120890293, + "fos_buckling": 1.0544257592693513, + "fos_yielding": 4.946984137497172, + "deflection": 0.01778019487134373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.658)" + }, + "parent_node_id": "node_3210", + "improvement_over_parent": null + }, + "node_3212": { + "node_id": "node_3212", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0060)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 200.66 kg\n Factor of Safety: 1.27\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.6643894304377, + "fos_buckling": 1.271400560191193, + "fos_yielding": 6.152503237457516, + "deflection": 0.014367158639475389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_3211", + "improvement_over_parent": null + }, + "node_3213": { + "node_id": "node_3213", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.21 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.21438492582794, + "fos_buckling": 1.5335589766854656, + "fos_yielding": 7.737589211018611, + "deflection": 0.01149799899837705, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_3212", + "improvement_over_parent": null + }, + "node_3214": { + "node_id": "node_3214", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3213", + "improvement_over_parent": null + }, + "node_3215": { + "node_id": "node_3215", + "content": "INITIAL DESIGN (Trace 456)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 215.32 kg\n Factor of Safety: 0.41\n Max Deflection: 3.22e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.32495348898144, + "fos_buckling": 0.4060436545163756, + "fos_yielding": 3.578320982819086, + "deflection": 0.0321867978089175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3216": { + "node_id": "node_3216", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 220.38 kg\n Factor of Safety: 0.41\n Max Deflection: 2.97e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.3803466136547, + "fos_buckling": 0.4058406349879493, + "fos_yielding": 4.618272977175785, + "deflection": 0.02967226096041996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.319)" + }, + "parent_node_id": "node_3215", + "improvement_over_parent": null + }, + "node_3217": { + "node_id": "node_3217", + "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 225.00 kg\n Factor of Safety: 0.41\n Max Deflection: 2.94e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.00325359617605, + "fos_buckling": 0.40565516129706436, + "fos_yielding": 4.618272977175792, + "deflection": 0.029369763699032835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.272)" + }, + "parent_node_id": "node_3216", + "improvement_over_parent": null + }, + "node_3218": { + "node_id": "node_3218", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0047)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 243.85 kg\n Factor of Safety: 0.81\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.85130161148825, + "fos_buckling": 0.8080044763730919, + "fos_yielding": 4.52216000121671, + "deflection": 0.015748521075261434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_3217", + "improvement_over_parent": null + }, + "node_3219": { + "node_id": "node_3219", + "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 249.91 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.91421953765922, + "fos_buckling": 0.8024615066003415, + "fos_yielding": 4.471656960549282, + "deflection": 0.015748435236066012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.504)" + }, + "parent_node_id": "node_3218", + "improvement_over_parent": null + }, + "node_3220": { + "node_id": "node_3220", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46021169872137, + "fos_buckling": 1.534430940801725, + "fos_yielding": 7.744624988486753, + "deflection": 0.011487478883533667, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_3219", + "improvement_over_parent": null + }, + "node_3221": { + "node_id": "node_3221", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3220", + "improvement_over_parent": null + }, + "node_3222": { + "node_id": "node_3222", + "content": "INITIAL DESIGN (Trace 457)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0051)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0055)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0045)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 160.23 kg\n Factor of Safety: 0.67\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.22909725549994, + "fos_buckling": 0.6696284953433199, + "fos_yielding": 4.713037210163189, + "deflection": 0.021273545434407553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3223": { + "node_id": "node_3223", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 206.94 kg\n Factor of Safety: 0.83\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.94068072686346, + "fos_buckling": 0.8313461647506277, + "fos_yielding": 6.058391064556219, + "deflection": 0.016559291706860973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_3222", + "improvement_over_parent": null + }, + "node_3224": { + "node_id": "node_3224", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nPerformance:\n Mass: 224.04 kg\n Factor of Safety: 1.39\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.03897853308922, + "fos_buckling": 1.3932527870139195, + "fos_yielding": 6.869827175970497, + "deflection": 0.012903034815573377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006259)" + }, + "parent_node_id": "node_3223", + "improvement_over_parent": null + }, + "node_3225": { + "node_id": "node_3225", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.38 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3816309715898, + "fos_buckling": 1.5341447067858343, + "fos_yielding": 7.741421738126403, + "deflection": 0.011491009927209207, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_3224", + "improvement_over_parent": null + }, + "node_3226": { + "node_id": "node_3226", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3225", + "improvement_over_parent": null + }, + "node_3227": { + "node_id": "node_3227", + "content": "INITIAL DESIGN (Trace 458)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 154.06 kg\n Factor of Safety: 0.60\n Max Deflection: 2.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.05696208097584, + "fos_buckling": 0.6001463997880272, + "fos_yielding": 3.517205279919815, + "deflection": 0.029070781237839814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3228": { + "node_id": "node_3228", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n Mass: 154.52 kg\n Factor of Safety: 0.60\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.52193884070005, + "fos_buckling": 0.6000390177333084, + "fos_yielding": 3.3685739297410913, + "deflection": 0.01971851079217675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001366)" + }, + "parent_node_id": "node_3227", + "improvement_over_parent": null + }, + "node_3229": { + "node_id": "node_3229", + "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0014)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0078)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n\nPerformance:\n Mass: 162.85 kg\n Factor of Safety: 0.60\n Max Deflection: 1.89e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.84857835573905, + "fos_buckling": 0.5995587484910365, + "fos_yielding": 3.388665859125236, + "deflection": 0.01892795892588471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.508)" + }, + "parent_node_id": "node_3228", + "improvement_over_parent": null + }, + "node_3230": { + "node_id": "node_3230", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0097)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 198.82 kg\n Factor of Safety: 0.71\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.82020373530506, + "fos_buckling": 0.7099026739613304, + "fos_yielding": 4.120091034138475, + "deflection": 0.015566376975072264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_3229", + "improvement_over_parent": null + }, + "node_3231": { + "node_id": "node_3231", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0097)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n Mass: 213.17 kg\n Factor of Safety: 1.09\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.16922801725786, + "fos_buckling": 1.0901207395414234, + "fos_yielding": 6.696063241110536, + "deflection": 0.013575905825291435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005220)" + }, + "parent_node_id": "node_3230", + "improvement_over_parent": null + }, + "node_3232": { + "node_id": "node_3232", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0123)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 263.82 kg\n Factor of Safety: 1.31\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.8176557625471, + "fos_buckling": 1.312188299616331, + "fos_yielding": 8.290508245418328, + "deflection": 0.011028710615836757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_3231", + "improvement_over_parent": null + }, + "node_3233": { + "node_id": "node_3233", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3232", + "improvement_over_parent": null + }, + "node_3234": { + "node_id": "node_3234", + "content": "INITIAL DESIGN (Trace 459)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 173.34 kg\n Factor of Safety: 0.75\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.34090905118714, + "fos_buckling": 0.7530827839151859, + "fos_yielding": 4.431364695254601, + "deflection": 0.01777765161529793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3235": { + "node_id": "node_3235", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n Mass: 186.77 kg\n Factor of Safety: 1.14\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.7659294750641, + "fos_buckling": 1.1422325412226937, + "fos_yielding": 6.273112249967767, + "deflection": 0.015791444577956407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005045)" + }, + "parent_node_id": "node_3234", + "improvement_over_parent": null + }, + "node_3236": { + "node_id": "node_3236", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n\nPerformance:\n Mass: 192.40 kg\n Factor of Safety: 1.14\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.40233424526016, + "fos_buckling": 1.143839315868235, + "fos_yielding": 7.066201660724381, + "deflection": 0.01491467036671458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.393)" + }, + "parent_node_id": "node_3235", + "improvement_over_parent": null + }, + "node_3237": { + "node_id": "node_3237", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0050)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 239.21 kg\n Factor of Safety: 1.37\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.20745292861653, + "fos_buckling": 1.368970708503787, + "fos_yielding": 8.76839346620574, + "deflection": 0.012060259313492406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_3236", + "improvement_over_parent": null + }, + "node_3238": { + "node_id": "node_3238", + "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 246.74 kg\n Factor of Safety: 1.35\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.73732849505188, + "fos_buckling": 1.3517039308477448, + "fos_yielding": 8.229921777671622, + "deflection": 0.011770393792900312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.524)" + }, + "parent_node_id": "node_3237", + "improvement_over_parent": null + }, + "node_3239": { + "node_id": "node_3239", + "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5582264072573, + "fos_buckling": 1.5348873927685176, + "fos_yielding": 7.748402320857442, + "deflection": 0.011483358242168968, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.475)" + }, + "parent_node_id": "node_3238", + "improvement_over_parent": null + }, + "node_3240": { + "node_id": "node_3240", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3239", + "improvement_over_parent": null + }, + "node_3241": { + "node_id": "node_3241", + "content": "INITIAL DESIGN (Trace 460)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 215.69 kg\n Factor of Safety: 1.28\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.6913084924666, + "fos_buckling": 1.2758048982876349, + "fos_yielding": 5.752182366681057, + "deflection": 0.013607765791311689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3242": { + "node_id": "node_3242", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 216.10 kg\n Factor of Safety: 1.27\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.10285957254834, + "fos_buckling": 1.2670634786925483, + "fos_yielding": 6.935977032857994, + "deflection": 0.013523129841782897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.247)" + }, + "parent_node_id": "node_3241", + "improvement_over_parent": null + }, + "node_3243": { + "node_id": "node_3243", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.80 kg\n Factor of Safety: 1.43\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.80237859066148, + "fos_buckling": 1.42650971399091, + "fos_yielding": 7.9849262942872326, + "deflection": 0.01178728878221835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_3242", + "improvement_over_parent": null + }, + "node_3244": { + "node_id": "node_3244", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.61 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.60704713637998, + "fos_buckling": 1.5353015316821308, + "fos_yielding": 7.75381908291035, + "deflection": 0.011481116919432736, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.196)" + }, + "parent_node_id": "node_3243", + "improvement_over_parent": null + }, + "node_3245": { + "node_id": "node_3245", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3244", + "improvement_over_parent": null + }, + "node_3246": { + "node_id": "node_3246", + "content": "INITIAL DESIGN (Trace 461)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0054)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n Mass: 164.71 kg\n Factor of Safety: 0.39\n Max Deflection: 8.21e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.70767185741138, + "fos_buckling": 0.3945169840072146, + "fos_yielding": 0.9023048738522801, + "deflection": 82137183782835.67, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3247": { + "node_id": "node_3247", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n\nPerformance:\n Mass: 183.84 kg\n Factor of Safety: 0.37\n Max Deflection: 2.07e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.8399048475608, + "fos_buckling": 0.36924288971957314, + "fos_yielding": 4.027776406619005, + "deflection": 20733055302980.79, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_3246", + "improvement_over_parent": null + }, + "node_3248": { + "node_id": "node_3248", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n\nPerformance:\n Mass: 206.47 kg\n Factor of Safety: 0.71\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.47015232914495, + "fos_buckling": 0.7141477667549209, + "fos_yielding": 5.278708190289062, + "deflection": 0.02027555653256174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007264)" + }, + "parent_node_id": "node_3247", + "improvement_over_parent": null + }, + "node_3249": { + "node_id": "node_3249", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n\nPerformance:\n Mass: 207.10 kg\n Factor of Safety: 0.41\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.10481795695262, + "fos_buckling": 0.412850222619247, + "fos_yielding": 5.277443054125668, + "deflection": 0.015259424207162963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001907)" + }, + "parent_node_id": "node_3248", + "improvement_over_parent": null + }, + "node_3250": { + "node_id": "node_3250", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0067)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 223.87 kg\n Factor of Safety: 1.28\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.8743586495712, + "fos_buckling": 1.2785096460945642, + "fos_yielding": 6.74469808887504, + "deflection": 0.012996772025441793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006018)" + }, + "parent_node_id": "node_3249", + "improvement_over_parent": null + }, + "node_3251": { + "node_id": "node_3251", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 248.56 kg\n Factor of Safety: 1.40\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.5622092927072, + "fos_buckling": 1.396533633609452, + "fos_yielding": 7.491763415923948, + "deflection": 0.011737792497614977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_3250", + "improvement_over_parent": null + }, + "node_3252": { + "node_id": "node_3252", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0076)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.36 kg\n Factor of Safety: 1.40\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.35805699867475, + "fos_buckling": 1.3950044351457134, + "fos_yielding": 7.389677046985363, + "deflection": 0.011695136059805909, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.188)" + }, + "parent_node_id": "node_3251", + "improvement_over_parent": null + }, + "node_3253": { + "node_id": "node_3253", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3252", + "improvement_over_parent": null + }, + "node_3254": { + "node_id": "node_3254", + "content": "INITIAL DESIGN (Trace 462)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 205.23 kg\n Factor of Safety: 0.21\n Max Deflection: 4.71e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.22826137141587, + "fos_buckling": 0.20578060582625482, + "fos_yielding": 1.0228295007998576, + "deflection": 47117611431413.484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3255": { + "node_id": "node_3255", + "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 205.93 kg\n Factor of Safety: 0.24\n Max Deflection: 4.71e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.93309824373455, + "fos_buckling": 0.2412458889497646, + "fos_yielding": 1.5293086237083375, + "deflection": 47117611431413.484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.543)" + }, + "parent_node_id": "node_3254", + "improvement_over_parent": null + }, + "node_3256": { + "node_id": "node_3256", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n\nPerformance:\n Mass: 217.30 kg\n Factor of Safety: 0.25\n Max Deflection: 5.73e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.29728775808127, + "fos_buckling": 0.2526155288474221, + "fos_yielding": 0.8943570817194284, + "deflection": 0.057258451639577115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004222)" + }, + "parent_node_id": "node_3255", + "improvement_over_parent": null + }, + "node_3257": { + "node_id": "node_3257", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 244.44 kg\n Factor of Safety: 0.82\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.43581132646372, + "fos_buckling": 0.8181917481184628, + "fos_yielding": 3.5423963294841694, + "deflection": 0.015848916357177154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_3256", + "improvement_over_parent": null + }, + "node_3258": { + "node_id": "node_3258", + "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.31 kg\n Factor of Safety: 0.82\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.30732900478475, + "fos_buckling": 0.8155669785114179, + "fos_yielding": 3.7976442748810153, + "deflection": 0.015682081613897732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.513)" + }, + "parent_node_id": "node_3257", + "improvement_over_parent": null + }, + "node_3259": { + "node_id": "node_3259", + "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 0.81\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.49231899161865, + "fos_buckling": 0.8068840229593377, + "fos_yielding": 4.838397202347688, + "deflection": 0.015599326154341366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.391)" + }, + "parent_node_id": "node_3258", + "improvement_over_parent": null + }, + "node_3260": { + "node_id": "node_3260", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0100)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 255.04 kg\n Factor of Safety: 1.44\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.0383111526808, + "fos_buckling": 1.438534484946937, + "fos_yielding": 8.091582886959458, + "deflection": 0.01148617602315058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_3259", + "improvement_over_parent": null + }, + "node_3261": { + "node_id": "node_3261", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3260", + "improvement_over_parent": null + }, + "node_3262": { + "node_id": "node_3262", + "content": "INITIAL DESIGN (Trace 463)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 0.40\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.1889096553087, + "fos_buckling": 0.4005665403031516, + "fos_yielding": 5.135907223859754, + "deflection": 0.015510739694281036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3263": { + "node_id": "node_3263", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 204.86 kg\n Factor of Safety: 0.40\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.85664978133752, + "fos_buckling": 0.40163099753556847, + "fos_yielding": 5.13590722385975, + "deflection": 0.015394438295107497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.603)" + }, + "parent_node_id": "node_3262", + "improvement_over_parent": null + }, + "node_3264": { + "node_id": "node_3264", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 221.16 kg\n Factor of Safety: 1.38\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.1636875309292, + "fos_buckling": 1.378529211176533, + "fos_yielding": 6.7814569319890685, + "deflection": 0.013066438111118753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005838)" + }, + "parent_node_id": "node_3263", + "improvement_over_parent": null + }, + "node_3265": { + "node_id": "node_3265", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.57 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.56539646555524, + "fos_buckling": 1.5350370583763704, + "fos_yielding": 7.74709628380178, + "deflection": 0.011482834066217418, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_3264", + "improvement_over_parent": null + }, + "node_3266": { + "node_id": "node_3266", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3265", + "improvement_over_parent": null + }, + "node_3267": { + "node_id": "node_3267", + "content": "INITIAL DESIGN (Trace 464)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n Mass: 159.27 kg\n Factor of Safety: 0.59\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.26744839980836, + "fos_buckling": 0.5878679030600529, + "fos_yielding": 4.247875034562665, + "deflection": 0.024042699879865327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3268": { + "node_id": "node_3268", + "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0050)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0046)]\n\nPerformance:\n Mass: 163.39 kg\n Factor of Safety: 0.59\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.39471895898527, + "fos_buckling": 0.5879906334418361, + "fos_yielding": 4.244529907599733, + "deflection": 0.02404957922444806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.634)" + }, + "parent_node_id": "node_3267", + "improvement_over_parent": null + }, + "node_3269": { + "node_id": "node_3269", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 190.84 kg\n Factor of Safety: 0.67\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.84077813101027, + "fos_buckling": 0.6722623612792316, + "fos_yielding": 4.926001670788367, + "deflection": 0.020647255828923777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_3268", + "improvement_over_parent": null + }, + "node_3270": { + "node_id": "node_3270", + "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n\nPerformance:\n Mass: 193.72 kg\n Factor of Safety: 0.67\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.7179906056042, + "fos_buckling": 0.6684415624714761, + "fos_yielding": 4.921973784902584, + "deflection": 0.020639678381172553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.280)" + }, + "parent_node_id": "node_3269", + "improvement_over_parent": null + }, + "node_3271": { + "node_id": "node_3271", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 231.46 kg\n Factor of Safety: 0.78\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.46155946103178, + "fos_buckling": 0.7756127382412599, + "fos_yielding": 5.831066589072764, + "deflection": 0.017335739763976312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_3270", + "improvement_over_parent": null + }, + "node_3272": { + "node_id": "node_3272", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 250.08 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.0770855173991, + "fos_buckling": 0.8028417343917754, + "fos_yielding": 4.4744252126646336, + "deflection": 0.015738846548499708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_3271", + "improvement_over_parent": null + }, + "node_3273": { + "node_id": "node_3273", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.62 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.62307767846124, + "fos_buckling": 1.5352720517043033, + "fos_yielding": 7.7444777732233225, + "deflection": 0.01148037512031195, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_3272", + "improvement_over_parent": null + }, + "node_3274": { + "node_id": "node_3274", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3273", + "improvement_over_parent": null + }, + "node_3275": { + "node_id": "node_3275", + "content": "INITIAL DESIGN (Trace 465)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0037)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 129.07 kg\n Factor of Safety: 0.34\n Max Deflection: 4.96e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.0672065110156, + "fos_buckling": 0.3386877801466644, + "fos_yielding": 0.9366216516582452, + "deflection": 0.049564858163621175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3276": { + "node_id": "node_3276", + "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 135.76 kg\n Factor of Safety: 0.34\n Max Deflection: 4.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.75880608252984, + "fos_buckling": 0.33835556737247513, + "fos_yielding": 0.9347960286376308, + "deflection": 0.04392276980454944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.585)" + }, + "parent_node_id": "node_3275", + "improvement_over_parent": null + }, + "node_3277": { + "node_id": "node_3277", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0058)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0047)]\n\nPerformance:\n Mass: 137.45 kg\n Factor of Safety: 0.34\n Max Deflection: 4.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.45390350045147, + "fos_buckling": 0.3383275454697455, + "fos_yielding": 0.934719108243893, + "deflection": 0.04393068760809327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.202)" + }, + "parent_node_id": "node_3276", + "improvement_over_parent": null + }, + "node_3278": { + "node_id": "node_3278", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0060)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n\nPerformance:\n Mass: 169.14 kg\n Factor of Safety: 0.40\n Max Deflection: 3.59e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.1429517886335, + "fos_buckling": 0.40313693619724056, + "fos_yielding": 1.1448956230460594, + "deflection": 0.035865185253592904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_3277", + "improvement_over_parent": null + }, + "node_3279": { + "node_id": "node_3279", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 190.08 kg\n Factor of Safety: 0.44\n Max Deflection: 3.20e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.08045140953521, + "fos_buckling": 0.44329765841706265, + "fos_yielding": 1.2827000646215005, + "deflection": 0.03201158371156352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_3278", + "improvement_over_parent": null + }, + "node_3280": { + "node_id": "node_3280", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 209.35 kg\n Factor of Safety: 0.44\n Max Deflection: 2.98e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.34669223044253, + "fos_buckling": 0.44246904701142076, + "fos_yielding": 1.2803235462842344, + "deflection": 0.029838285017295976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_3279", + "improvement_over_parent": null + }, + "node_3281": { + "node_id": "node_3281", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 227.14 kg\n Factor of Safety: 0.44\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.13816791884696, + "fos_buckling": 0.4420874994379611, + "fos_yielding": 1.878344723107432, + "deflection": 0.024052149456468785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)" + }, + "parent_node_id": "node_3280", + "improvement_over_parent": null + }, + "node_3282": { + "node_id": "node_3282", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.26 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.2603095706938, + "fos_buckling": 1.5335003551657715, + "fos_yielding": 7.732999505550694, + "deflection": 0.0114967381943986, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_3281", + "improvement_over_parent": null + }, + "node_3283": { + "node_id": "node_3283", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3282", + "improvement_over_parent": null + }, + "node_3284": { + "node_id": "node_3284", + "content": "INITIAL DESIGN (Trace 466)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 152.28 kg\n Factor of Safety: 0.60\n Max Deflection: 2.93e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.27511331112285, + "fos_buckling": 0.6004799968603283, + "fos_yielding": 3.6812155694760147, + "deflection": 0.029305394028094373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3285": { + "node_id": "node_3285", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0030)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n Mass: 162.00 kg\n Factor of Safety: 0.91\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.99855426118953, + "fos_buckling": 0.9125862880507669, + "fos_yielding": 5.238926828694935, + "deflection": 0.017772881899703035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003986)" + }, + "parent_node_id": "node_3284", + "improvement_over_parent": null + }, + "node_3286": { + "node_id": "node_3286", + "content": "MODIFICATION: Increase 3 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0038)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n Mass: 164.34 kg\n Factor of Safety: 1.05\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.34013004339633, + "fos_buckling": 1.0548624415595274, + "fos_yielding": 5.023866422140635, + "deflection": 0.017464824613613854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.290)" + }, + "parent_node_id": "node_3285", + "improvement_over_parent": null + }, + "node_3287": { + "node_id": "node_3287", + "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n\nPerformance:\n Mass: 166.24 kg\n Factor of Safety: 1.06\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.23869576626396, + "fos_buckling": 1.0649550229815206, + "fos_yielding": 4.902501118489922, + "deflection": 0.017280243420576102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.186)" + }, + "parent_node_id": "node_3286", + "improvement_over_parent": null + }, + "node_3288": { + "node_id": "node_3288", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n\nPerformance:\n Mass: 208.98 kg\n Factor of Safety: 1.29\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.9776583881667, + "fos_buckling": 1.2905677013959425, + "fos_yielding": 6.164739697038602, + "deflection": 0.013813497859236171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_3287", + "improvement_over_parent": null + }, + "node_3289": { + "node_id": "node_3289", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 251.61 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.60594324472044, + "fos_buckling": 1.4968089108130116, + "fos_yielding": 7.424456171635099, + "deflection": 0.011528914327813139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_3288", + "improvement_over_parent": null + }, + "node_3290": { + "node_id": "node_3290", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.31026409164147, + "fos_buckling": 1.5336322246636713, + "fos_yielding": 7.741303070572865, + "deflection": 0.011494028896536808, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_3289", + "improvement_over_parent": null + }, + "node_3291": { + "node_id": "node_3291", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3290", + "improvement_over_parent": null + }, + "node_3292": { + "node_id": "node_3292", + "content": "INITIAL DESIGN (Trace 467)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 164.66 kg\n Factor of Safety: 0.70\n Max Deflection: 2.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.65584547375323, + "fos_buckling": 0.704383089698532, + "fos_yielding": 4.99260518199218, + "deflection": 0.02019122370063203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3293": { + "node_id": "node_3293", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 186.38 kg\n Factor of Safety: 0.78\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.37985077761005, + "fos_buckling": 0.7823663427795802, + "fos_yielding": 5.638360508284341, + "deflection": 0.017882764173739303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3292", + "improvement_over_parent": null + }, + "node_3294": { + "node_id": "node_3294", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n\nPerformance:\n Mass: 205.57 kg\n Factor of Safety: 1.28\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.5687883763389, + "fos_buckling": 1.2843593275782612, + "fos_yielding": 6.5084352354487836, + "deflection": 0.013944602180550561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006112)" + }, + "parent_node_id": "node_3293", + "improvement_over_parent": null + }, + "node_3295": { + "node_id": "node_3295", + "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n\nPerformance:\n Mass: 208.93 kg\n Factor of Safety: 1.31\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.93395778673857, + "fos_buckling": 1.3128588034117792, + "fos_yielding": 6.64902970329303, + "deflection": 0.013827557435215836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.238)" + }, + "parent_node_id": "node_3294", + "improvement_over_parent": null + }, + "node_3296": { + "node_id": "node_3296", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0084)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 253.59 kg\n Factor of Safety: 1.54\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.58861112285163, + "fos_buckling": 1.5378975775902577, + "fos_yielding": 8.06828244924876, + "deflection": 0.011449748522539886, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_3295", + "improvement_over_parent": null + }, + "node_3297": { + "node_id": "node_3297", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3296", + "improvement_over_parent": null + }, + "node_3298": { + "node_id": "node_3298", + "content": "INITIAL DESIGN (Trace 468)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0053)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0043)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 166.10 kg\n Factor of Safety: 1.09\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.10084023611194, + "fos_buckling": 1.0852501735510178, + "fos_yielding": 5.206786384393377, + "deflection": 0.017209485822018884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3299": { + "node_id": "node_3299", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 214.09 kg\n Factor of Safety: 1.34\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.08949755917018, + "fos_buckling": 1.3426465587516823, + "fos_yielding": 6.712939797985981, + "deflection": 0.013426707400035657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_3298", + "improvement_over_parent": null + }, + "node_3300": { + "node_id": "node_3300", + "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0061)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 217.97 kg\n Factor of Safety: 1.36\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.9702069623803, + "fos_buckling": 1.3620296721481684, + "fos_yielding": 6.683297594126845, + "deflection": 0.01325322085428971, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.445)" + }, + "parent_node_id": "node_3299", + "improvement_over_parent": null + }, + "node_3301": { + "node_id": "node_3301", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4946318931204, + "fos_buckling": 1.5346421623695783, + "fos_yielding": 7.74492589219786, + "deflection": 0.011486107183525175, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_3300", + "improvement_over_parent": null + }, + "node_3302": { + "node_id": "node_3302", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3301", + "improvement_over_parent": null + }, + "node_3303": { + "node_id": "node_3303", + "content": "INITIAL DESIGN (Trace 469)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n\nPerformance:\n Mass: 178.91 kg\n Factor of Safety: 0.76\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.90630109992802, + "fos_buckling": 0.7630762746864838, + "fos_yielding": 4.251770036865846, + "deflection": 0.01993350877936125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3304": { + "node_id": "node_3304", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0046)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 0.92\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.12390988846647, + "fos_buckling": 0.9168812218291377, + "fos_yielding": 5.3359200846703185, + "deflection": 0.016049638082340428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_3303", + "improvement_over_parent": null + }, + "node_3305": { + "node_id": "node_3305", + "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 226.69 kg\n Factor of Safety: 0.92\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.68652416449032, + "fos_buckling": 0.9167230486414263, + "fos_yielding": 5.719333701952996, + "deflection": 0.015928971936396988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.350)" + }, + "parent_node_id": "node_3304", + "improvement_over_parent": null + }, + "node_3306": { + "node_id": "node_3306", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 249.97 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.97236376658756, + "fos_buckling": 0.8025410271807547, + "fos_yielding": 4.472821615717172, + "deflection": 0.01574559074678171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_3305", + "improvement_over_parent": null + }, + "node_3307": { + "node_id": "node_3307", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.5183559276497, + "fos_buckling": 1.534718056684499, + "fos_yielding": 7.744252865859618, + "deflection": 0.011485135817239993, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_3306", + "improvement_over_parent": null + }, + "node_3308": { + "node_id": "node_3308", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3307", + "improvement_over_parent": null + }, + "node_3309": { + "node_id": "node_3309", + "content": "INITIAL DESIGN (Trace 470)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 145.24 kg\n Factor of Safety: 0.37\n Max Deflection: 2.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.23729449390765, + "fos_buckling": 0.36840642498633, + "fos_yielding": 1.7658587415140259, + "deflection": 0.02986803302836316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3310": { + "node_id": "node_3310", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0016)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n\nPerformance:\n Mass: 155.65 kg\n Factor of Safety: 0.37\n Max Deflection: 2.75e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.65054809749967, + "fos_buckling": 0.36822019886286866, + "fos_yielding": 1.7649661158546752, + "deflection": 0.027453021007393053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004287)" + }, + "parent_node_id": "node_3309", + "improvement_over_parent": null + }, + "node_3311": { + "node_id": "node_3311", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n Mass: 172.65 kg\n Factor of Safety: 0.41\n Max Deflection: 2.48e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.6508024905498, + "fos_buckling": 0.4052234192859694, + "fos_yielding": 1.9586024606550512, + "deflection": 0.02479021421636941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_3310", + "improvement_over_parent": null + }, + "node_3312": { + "node_id": "node_3312", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n Mass: 176.16 kg\n Factor of Safety: 0.41\n Max Deflection: 2.44e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.1570955324267, + "fos_buckling": 0.4050170642308348, + "fos_yielding": 1.9576050663794011, + "deflection": 0.02435670665007818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.232)" + }, + "parent_node_id": "node_3311", + "improvement_over_parent": null + }, + "node_3313": { + "node_id": "node_3313", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0063)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0018)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0050)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n\nPerformance:\n Mass: 177.23 kg\n Factor of Safety: 0.40\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.22937144240385, + "fos_buckling": 0.4049329826624874, + "fos_yielding": 1.957198667442856, + "deflection": 0.023765520918455723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.603)" + }, + "parent_node_id": "node_3312", + "improvement_over_parent": null + }, + "node_3314": { + "node_id": "node_3314", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0065)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 225.63 kg\n Factor of Safety: 0.50\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.626622040759, + "fos_buckling": 0.5044217304391074, + "fos_yielding": 2.496927381140485, + "deflection": 0.0187639853702073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_3313", + "improvement_over_parent": null + }, + "node_3315": { + "node_id": "node_3315", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0065)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.77 kg\n Factor of Safety: 1.24\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.76514560914146, + "fos_buckling": 1.2432645062734076, + "fos_yielding": 6.154257440518665, + "deflection": 0.011482481878013342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_3314", + "improvement_over_parent": null + }, + "node_3316": { + "node_id": "node_3316", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3315", + "improvement_over_parent": null + }, + "node_3317": { + "node_id": "node_3317", + "content": "INITIAL DESIGN (Trace 471)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 224.85 kg\n Factor of Safety: 0.68\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.8494345181427, + "fos_buckling": 0.6781902077223765, + "fos_yielding": 4.375347183476602, + "deflection": 0.013561909174557213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3318": { + "node_id": "node_3318", + "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 230.22 kg\n Factor of Safety: 0.90\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.2162157474937, + "fos_buckling": 0.9020411471590768, + "fos_yielding": 4.368449000725503, + "deflection": 0.0129552343362842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.437)" + }, + "parent_node_id": "node_3317", + "improvement_over_parent": null + }, + "node_3319": { + "node_id": "node_3319", + "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 230.38 kg\n Factor of Safety: 0.90\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.37755950488022, + "fos_buckling": 0.9020699196357383, + "fos_yielding": 5.478453388899266, + "deflection": 0.012900337354233607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.326)" + }, + "parent_node_id": "node_3318", + "improvement_over_parent": null + }, + "node_3320": { + "node_id": "node_3320", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 247.05 kg\n Factor of Safety: 1.34\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.04784331113729, + "fos_buckling": 1.3427744131320574, + "fos_yielding": 7.383065455412625, + "deflection": 0.011850997757278037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_3319", + "improvement_over_parent": null + }, + "node_3321": { + "node_id": "node_3321", + "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46868091210257, + "fos_buckling": 1.5346495211049023, + "fos_yielding": 7.744203863314365, + "deflection": 0.011486983501338838, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.274)" + }, + "parent_node_id": "node_3320", + "improvement_over_parent": null + }, + "node_3322": { + "node_id": "node_3322", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3321", + "improvement_over_parent": null + }, + "node_3323": { + "node_id": "node_3323", + "content": "INITIAL DESIGN (Trace 472)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0031)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0029)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0025)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0015)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0016)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0013)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0033)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0031)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0026)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0020)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0027)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n Mass: 105.72 kg\n Factor of Safety: 0.61\n Max Deflection: 2.68e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.71553371811035, + "fos_buckling": 0.605527094886611, + "fos_yielding": 3.17965541802112, + "deflection": 0.02682710988439394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3324": { + "node_id": "node_3324", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0043)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0037)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0032)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0019)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0021)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0011)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0017)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0039)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0025)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0034)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0035)]\n\nPerformance:\n Mass: 132.71 kg\n Factor of Safety: 0.75\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.71057354840354, + "fos_buckling": 0.7514533696347577, + "fos_yielding": 3.993770698706614, + "deflection": 0.02143549164390739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_3323", + "improvement_over_parent": null + }, + "node_3325": { + "node_id": "node_3325", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0029)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 152.74 kg\n Factor of Safety: 0.86\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.7350729874323, + "fos_buckling": 0.8573871596375701, + "fos_yielding": 4.598258179942446, + "deflection": 0.018667324365004602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_3324", + "improvement_over_parent": null + }, + "node_3326": { + "node_id": "node_3326", + "content": "MODIFICATION: Increase 13 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0049)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0048)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0037)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0049)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0045)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0038)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0039)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0040)]\n\nPerformance:\n Mass: 155.90 kg\n Factor of Safety: 1.02\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.89509500268954, + "fos_buckling": 1.0224886950665752, + "fos_yielding": 4.776715819563423, + "deflection": 0.01839905861864091, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.393)" + }, + "parent_node_id": "node_3325", + "improvement_over_parent": null + }, + "node_3327": { + "node_id": "node_3327", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0066)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0057)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0065)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0060)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0051)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0054)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0054)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.29\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.0519785387676, + "fos_buckling": 1.2892049408572162, + "fos_yielding": 6.255709332741978, + "deflection": 0.014134573470997355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3326", + "improvement_over_parent": null + }, + "node_3328": { + "node_id": "node_3328", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.55554711391486, + "fos_buckling": 1.5349713700677505, + "fos_yielding": 7.746995679090921, + "deflection": 0.011483282122806457, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_3327", + "improvement_over_parent": null + }, + "node_3329": { + "node_id": "node_3329", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3328", + "improvement_over_parent": null + }, + "node_3330": { + "node_id": "node_3330", + "content": "INITIAL DESIGN (Trace 473)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 153.30 kg\n Factor of Safety: 0.59\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.29556483652985, + "fos_buckling": 0.5947830110609684, + "fos_yielding": 3.334370873679776, + "deflection": 0.01991750582415083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3331": { + "node_id": "node_3331", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 183.04 kg\n Factor of Safety: 0.69\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.03944194763477, + "fos_buckling": 0.6910534339468931, + "fos_yielding": 3.9640021436788544, + "deflection": 0.01674320639235189, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_3330", + "improvement_over_parent": null + }, + "node_3332": { + "node_id": "node_3332", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n\nPerformance:\n Mass: 194.22 kg\n Factor of Safety: 1.25\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.22427589150374, + "fos_buckling": 1.2505531825757685, + "fos_yielding": 6.020058607735591, + "deflection": 0.014743315042552746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004003)" + }, + "parent_node_id": "node_3331", + "improvement_over_parent": null + }, + "node_3333": { + "node_id": "node_3333", + "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0065)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0040)]\n\nPerformance:\n Mass: 197.65 kg\n Factor of Safety: 1.25\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.6498943742131, + "fos_buckling": 1.250741877784919, + "fos_yielding": 6.0052185012484225, + "deflection": 0.014621141514624484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.258)" + }, + "parent_node_id": "node_3332", + "improvement_over_parent": null + }, + "node_3334": { + "node_id": "node_3334", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0085)]\n M15: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n\nPerformance:\n Mass: 253.22 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.21937606072635, + "fos_buckling": 1.5335216921497576, + "fos_yielding": 7.7013874763478025, + "deflection": 0.011482364366583486, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3333", + "improvement_over_parent": null + }, + "node_3335": { + "node_id": "node_3335", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3334", + "improvement_over_parent": null + }, + "node_3336": { + "node_id": "node_3336", + "content": "INITIAL DESIGN (Trace 474)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0033)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0031)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 145.22 kg\n Factor of Safety: 0.63\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.22362557963464, + "fos_buckling": 0.6335422938803311, + "fos_yielding": 3.4247076065422584, + "deflection": 0.023985004826999796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3337": { + "node_id": "node_3337", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 181.67 kg\n Factor of Safety: 0.76\n Max Deflection: 1.93e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.6652012220314, + "fos_buckling": 0.7629227066185185, + "fos_yielding": 4.266639716470658, + "deflection": 0.019259476718251494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_3336", + "improvement_over_parent": null + }, + "node_3338": { + "node_id": "node_3338", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 197.25 kg\n Factor of Safety: 0.82\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.2470427822476, + "fos_buckling": 0.8235419312797964, + "fos_yielding": 5.989978702078868, + "deflection": 0.017018978375195646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005706)" + }, + "parent_node_id": "node_3337", + "improvement_over_parent": null + }, + "node_3339": { + "node_id": "node_3339", + "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n\nPerformance:\n Mass: 200.27 kg\n Factor of Safety: 0.82\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.26813422387892, + "fos_buckling": 0.8234211391318674, + "fos_yielding": 5.98910012824312, + "deflection": 0.016898496378673945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.312)" + }, + "parent_node_id": "node_3338", + "improvement_over_parent": null + }, + "node_3340": { + "node_id": "node_3340", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0039)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n\nPerformance:\n Mass: 217.14 kg\n Factor of Safety: 1.31\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.14221664979783, + "fos_buckling": 1.313170356656747, + "fos_yielding": 7.024335553340834, + "deflection": 0.013181101210651459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006170)" + }, + "parent_node_id": "node_3339", + "improvement_over_parent": null + }, + "node_3341": { + "node_id": "node_3341", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 248.02 kg\n Factor of Safety: 1.47\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.01757216319362, + "fos_buckling": 1.4675772844078332, + "fos_yielding": 8.020596833195835, + "deflection": 0.011580994928002856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_3340", + "improvement_over_parent": null + }, + "node_3342": { + "node_id": "node_3342", + "content": "MODIFICATION: Increase 12 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0097)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 255.00 kg\n Factor of Safety: 1.54\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.99523248309805, + "fos_buckling": 1.5400036846050063, + "fos_yielding": 8.28993427358564, + "deflection": 0.011425635048292514, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.425)" + }, + "parent_node_id": "node_3341", + "improvement_over_parent": null + }, + "node_3343": { + "node_id": "node_3343", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3342", + "improvement_over_parent": null + }, + "node_3344": { + "node_id": "node_3344", + "content": "INITIAL DESIGN (Trace 475)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 108.70 kg\n Factor of Safety: 0.49\n Max Deflection: 3.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.69773746221695, + "fos_buckling": 0.4898173480922237, + "fos_yielding": 3.331481159101999, + "deflection": 0.030304192043925884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3345": { + "node_id": "node_3345", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0029)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0007)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0038)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0022)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0035)]\n\nPerformance:\n Mass: 119.95 kg\n Factor of Safety: 0.79\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.94534394987322, + "fos_buckling": 0.7921262585771882, + "fos_yielding": 3.8262846577335172, + "deflection": 0.02362005122959924, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003474)" + }, + "parent_node_id": "node_3344", + "improvement_over_parent": null + }, + "node_3346": { + "node_id": "node_3346", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n Mass: 146.42 kg\n Factor of Safety: 0.95\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.4231093866689, + "fos_buckling": 0.9500860265289891, + "fos_yielding": 4.6705337472131365, + "deflection": 0.019408035086607114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_3345", + "improvement_over_parent": null + }, + "node_3347": { + "node_id": "node_3347", + "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0009)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n Mass: 149.83 kg\n Factor of Safety: 0.98\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.828134023683, + "fos_buckling": 0.9839942381194637, + "fos_yielding": 4.79919172342304, + "deflection": 0.019183346942653764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.328)" + }, + "parent_node_id": "node_3346", + "improvement_over_parent": null + }, + "node_3348": { + "node_id": "node_3348", + "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0047)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0040)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0035)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0027)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0037)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0038)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0043)]\n\nPerformance:\n Mass: 149.94 kg\n Factor of Safety: 0.98\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.94470103980484, + "fos_buckling": 0.984256442851835, + "fos_yielding": 4.827013012383252, + "deflection": 0.019170280952193558, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.410)" + }, + "parent_node_id": "node_3347", + "improvement_over_parent": null + }, + "node_3349": { + "node_id": "node_3349", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0062)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0053)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0061)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0036)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0067)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0049)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0050)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0056)]\n\nPerformance:\n Mass: 194.44 kg\n Factor of Safety: 1.23\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.44262235620644, + "fos_buckling": 1.2337385918147055, + "fos_yielding": 6.2574784278021, + "deflection": 0.014856468664988352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_3348", + "improvement_over_parent": null + }, + "node_3350": { + "node_id": "node_3350", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0073)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0056)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0055)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0071)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0042)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0079)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0058)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0059)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0066)]\n\nPerformance:\n Mass: 224.87 kg\n Factor of Safety: 1.39\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.87266174834642, + "fos_buckling": 1.3933505810385514, + "fos_yielding": 7.235000876353053, + "deflection": 0.012889273068695811, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_3349", + "improvement_over_parent": null + }, + "node_3351": { + "node_id": "node_3351", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0090)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0068)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0076)]\n\nPerformance:\n Mass: 254.28 kg\n Factor of Safety: 1.54\n Max Deflection: 1.14e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.27794137311352, + "fos_buckling": 1.5391808159017142, + "fos_yielding": 8.17897843279477, + "deflection": 0.011435547408216251, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_3350", + "improvement_over_parent": null + }, + "node_3352": { + "node_id": "node_3352", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3351", + "improvement_over_parent": null + }, + "node_3353": { + "node_id": "node_3353", + "content": "INITIAL DESIGN (Trace 476)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0044)]\n\nPerformance:\n Mass: 219.38 kg\n Factor of Safety: 0.92\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.37834937717165, + "fos_buckling": 0.9167483341076248, + "fos_yielding": 6.816447223920146, + "deflection": 0.016202227277988163, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3354": { + "node_id": "node_3354", + "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 225.49 kg\n Factor of Safety: 0.92\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.49234855714116, + "fos_buckling": 0.9164769603134082, + "fos_yielding": 6.428619770968594, + "deflection": 0.016068394025167597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.536)" + }, + "parent_node_id": "node_3353", + "improvement_over_parent": null + }, + "node_3355": { + "node_id": "node_3355", + "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 230.67 kg\n Factor of Safety: 0.92\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.66917400217693, + "fos_buckling": 0.916247309157942, + "fos_yielding": 5.791545108297008, + "deflection": 0.01591887098295903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.555)" + }, + "parent_node_id": "node_3354", + "improvement_over_parent": null + }, + "node_3356": { + "node_id": "node_3356", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 233.22 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.21516616323908, + "fos_buckling": 0.9157958699284936, + "fos_yielding": 6.809365212894686, + "deflection": 0.014737748811228487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_3355", + "improvement_over_parent": null + }, + "node_3357": { + "node_id": "node_3357", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4814069841464, + "fos_buckling": 1.5345675130658132, + "fos_yielding": 7.743880902779212, + "deflection": 0.01148676219772134, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_3356", + "improvement_over_parent": null + }, + "node_3358": { + "node_id": "node_3358", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3357", + "improvement_over_parent": null + }, + "node_3359": { + "node_id": "node_3359", + "content": "INITIAL DESIGN (Trace 477)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3360": { + "node_id": "node_3360", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n\nPerformance:\n Mass: 127.88 kg\n Factor of Safety: 1.15\n Max Deflection: 1.33e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.88224903637214, + "fos_buckling": 1.150512094598952, + "fos_yielding": 6.779662035007957, + "deflection": 13290719620569.734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004202)" + }, + "parent_node_id": "node_3359", + "improvement_over_parent": null + }, + "node_3361": { + "node_id": "node_3361", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n\nPerformance:\n Mass: 140.23 kg\n Factor of Safety: 0.81\n Max Deflection: 1.13e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.2290181864511, + "fos_buckling": 0.8122894604863694, + "fos_yielding": 3.3898310175039783, + "deflection": 11264863971172.697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004445)" + }, + "parent_node_id": "node_3360", + "improvement_over_parent": null + }, + "node_3362": { + "node_id": "node_3362", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0045)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0044)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n\nPerformance:\n Mass: 159.06 kg\n Factor of Safety: 0.68\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.06333166886108, + "fos_buckling": 0.67563247425419, + "fos_yielding": 4.76140515638768, + "deflection": 0.021059241451320557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005490)" + }, + "parent_node_id": "node_3361", + "improvement_over_parent": null + }, + "node_3363": { + "node_id": "node_3363", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0063)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n\nPerformance:\n Mass: 177.03 kg\n Factor of Safety: 0.74\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.0259387890285, + "fos_buckling": 0.7405122197870188, + "fos_yielding": 5.289475445582225, + "deflection": 0.01896130645859447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_3362", + "improvement_over_parent": null + }, + "node_3364": { + "node_id": "node_3364", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 229.12 kg\n Factor of Safety: 0.92\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.12177313030588, + "fos_buckling": 0.9158758604933886, + "fos_yielding": 6.810214441326399, + "deflection": 0.01473725319123525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_3363", + "improvement_over_parent": null + }, + "node_3365": { + "node_id": "node_3365", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M12: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.41 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.40761273240312, + "fos_buckling": 1.53421532181602, + "fos_yielding": 7.741852649940858, + "deflection": 0.011489884184515999, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_3364", + "improvement_over_parent": null + }, + "node_3366": { + "node_id": "node_3366", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3365", + "improvement_over_parent": null + }, + "node_3367": { + "node_id": "node_3367", + "content": "INITIAL DESIGN (Trace 478)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0017)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n\nPerformance:\n Mass: 112.99 kg\n Factor of Safety: 0.05\n Max Deflection: 2.40e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.98642162654205, + "fos_buckling": 0.052906622062934075, + "fos_yielding": 0.21186443859399864, + "deflection": 239545718916611.03, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3368": { + "node_id": "node_3368", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n\nPerformance:\n Mass: 113.30 kg\n Factor of Safety: 0.20\n Max Deflection: 5.03e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.30123197924448, + "fos_buckling": 0.19863975536903558, + "fos_yielding": 0.8474577543759946, + "deflection": 50315966792037.57, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.290)" + }, + "parent_node_id": "node_3367", + "improvement_over_parent": null + }, + "node_3369": { + "node_id": "node_3369", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0046)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n\nPerformance:\n Mass: 124.07 kg\n Factor of Safety: 0.49\n Max Deflection: 2.47e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.06863620296376, + "fos_buckling": 0.4872502567987365, + "fos_yielding": 3.4133464623119907, + "deflection": 0.0246824787637304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003725)" + }, + "parent_node_id": "node_3368", + "improvement_over_parent": null + }, + "node_3370": { + "node_id": "node_3370", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n\nPerformance:\n Mass: 158.86 kg\n Factor of Safety: 0.60\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.85601322398293, + "fos_buckling": 0.603341322181148, + "fos_yielding": 4.336381609578655, + "deflection": 0.01935705219567507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_3369", + "improvement_over_parent": null + }, + "node_3371": { + "node_id": "node_3371", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n Mass: 180.66 kg\n Factor of Safety: 0.67\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.6622196504224, + "fos_buckling": 0.6716763588593654, + "fos_yielding": 4.907686279015841, + "deflection": 0.017064561927136384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_3370", + "improvement_over_parent": null + }, + "node_3372": { + "node_id": "node_3372", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 196.14 kg\n Factor of Safety: 0.77\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.14107988166992, + "fos_buckling": 0.7734246393729417, + "fos_yielding": 4.563430657696163, + "deflection": 0.015025542086760279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005518)" + }, + "parent_node_id": "node_3371", + "improvement_over_parent": null + }, + "node_3373": { + "node_id": "node_3373", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 235.79 kg\n Factor of Safety: 0.90\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.79050481300885, + "fos_buckling": 0.9019649957815843, + "fos_yielding": 5.474658055654204, + "deflection": 0.012549940170906375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3372", + "improvement_over_parent": null + }, + "node_3374": { + "node_id": "node_3374", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.46078861926594, + "fos_buckling": 1.534518188093106, + "fos_yielding": 7.743725065085664, + "deflection": 0.011487456157631231, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_3373", + "improvement_over_parent": null + }, + "node_3375": { + "node_id": "node_3375", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3374", + "improvement_over_parent": null + }, + "node_3376": { + "node_id": "node_3376", + "content": "INITIAL DESIGN (Trace 479)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 198.26 kg\n Factor of Safety: 0.81\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.2563837954856, + "fos_buckling": 0.8100885792334719, + "fos_yielding": 4.947019853244373, + "deflection": 0.01846980201576541, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3377": { + "node_id": "node_3377", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n\nPerformance:\n Mass: 214.81 kg\n Factor of Safety: 0.71\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.81463560045043, + "fos_buckling": 0.7071275362722248, + "fos_yielding": 3.844396122200464, + "deflection": 0.01827139202486598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006045)" + }, + "parent_node_id": "node_3376", + "improvement_over_parent": null + }, + "node_3378": { + "node_id": "node_3378", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 249.82 kg\n Factor of Safety: 0.80\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.82017458713096, + "fos_buckling": 0.802156739311201, + "fos_yielding": 4.469797860833563, + "deflection": 0.01575486450212876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_3377", + "improvement_over_parent": null + }, + "node_3379": { + "node_id": "node_3379", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.37 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3661667481931, + "fos_buckling": 1.5340619034653762, + "fos_yielding": 7.743731435212168, + "deflection": 0.011491587062487513, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_3378", + "improvement_over_parent": null + }, + "node_3380": { + "node_id": "node_3380", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3379", + "improvement_over_parent": null + }, + "node_3381": { + "node_id": "node_3381", + "content": "INITIAL DESIGN (Trace 480)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0018)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nPerformance:\n Mass: 105.88 kg\n Factor of Safety: 0.21\n Max Deflection: 1.09e-01 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.8769764125377, + "fos_buckling": 0.20910436504132493, + "fos_yielding": 1.447374558062981, + "deflection": 0.1090851065331954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3382": { + "node_id": "node_3382", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0018)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n\nPerformance:\n Mass: 106.21 kg\n Factor of Safety: 0.23\n Max Deflection: 4.96e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 106.21453629898025, + "fos_buckling": 0.234707780679482, + "fos_yielding": 0.9423593187683366, + "deflection": 0.04957023947332702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.000976)" + }, + "parent_node_id": "node_3381", + "improvement_over_parent": null + }, + "node_3383": { + "node_id": "node_3383", + "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n\nPerformance:\n Mass: 108.99 kg\n Factor of Safety: 0.23\n Max Deflection: 4.94e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.98760593708342, + "fos_buckling": 0.2346758753711494, + "fos_yielding": 0.9157619497263967, + "deflection": 0.04937511551314521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.626)" + }, + "parent_node_id": "node_3382", + "improvement_over_parent": null + }, + "node_3384": { + "node_id": "node_3384", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0038)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0033)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n\nPerformance:\n Mass: 121.03 kg\n Factor of Safety: 0.82\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.03098429339909, + "fos_buckling": 0.8151065300782201, + "fos_yielding": 3.707070601149494, + "deflection": 0.023603941846080768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.003720)" + }, + "parent_node_id": "node_3383", + "improvement_over_parent": null + }, + "node_3385": { + "node_id": "node_3385", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0048)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0042)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0022)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0024)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0044)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0040)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n\nPerformance:\n Mass: 152.52 kg\n Factor of Safety: 1.00\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.52145867788974, + "fos_buckling": 1.0029637347098919, + "fos_yielding": 4.673273705703166, + "deflection": 0.018798554582315333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_3384", + "improvement_over_parent": null + }, + "node_3386": { + "node_id": "node_3386", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0053)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0057)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0049)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0043)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0022)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0052)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0044)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0047)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0056)]\n\nPerformance:\n Mass: 178.18 kg\n Factor of Safety: 1.15\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.1821119706441, + "fos_buckling": 1.1487758759889013, + "fos_yielding": 5.4611173425828134, + "deflection": 0.016138752334886958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_3385", + "improvement_over_parent": null + }, + "node_3387": { + "node_id": "node_3387", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n\nPerformance:\n Mass: 212.04 kg\n Factor of Safety: 1.33\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.03995901033582, + "fos_buckling": 1.3312697882569553, + "fos_yielding": 6.501340656171303, + "deflection": 0.013614375422242201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_3386", + "improvement_over_parent": null + }, + "node_3388": { + "node_id": "node_3388", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.39 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.3913997789981, + "fos_buckling": 1.5341995349896422, + "fos_yielding": 7.742118773636486, + "deflection": 0.011490429629489948, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_3387", + "improvement_over_parent": null + }, + "node_3389": { + "node_id": "node_3389", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3388", + "improvement_over_parent": null + }, + "node_3390": { + "node_id": "node_3390", + "content": "INITIAL DESIGN (Trace 481)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n\nPerformance:\n Mass: 186.38 kg\n Factor of Safety: 0.22\n Max Deflection: 1.67e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.3768765022786, + "fos_buckling": 0.22217137967681308, + "fos_yielding": 3.3898310175039783, + "deflection": 16709771465286.08, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3391": { + "node_id": "node_3391", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0068)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n Mass: 202.03 kg\n Factor of Safety: 0.57\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.0300040323351, + "fos_buckling": 0.5702711280607919, + "fos_yielding": 4.085419683648914, + "deflection": 0.01898871124749257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004515)" + }, + "parent_node_id": "node_3390", + "improvement_over_parent": null + }, + "node_3392": { + "node_id": "node_3392", + "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0109)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n Mass: 213.35 kg\n Factor of Safety: 0.57\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.35095964048048, + "fos_buckling": 0.5696451847648466, + "fos_yielding": 4.080935428815956, + "deflection": 0.019009131204605012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.618)" + }, + "parent_node_id": "node_3391", + "improvement_over_parent": null + }, + "node_3393": { + "node_id": "node_3393", + "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0109)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n Mass: 213.45 kg\n Factor of Safety: 0.57\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.452541097287, + "fos_buckling": 0.5696395744774329, + "fos_yielding": 4.080895236743268, + "deflection": 0.01900855464468664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.206)" + }, + "parent_node_id": "node_3392", + "improvement_over_parent": null + }, + "node_3394": { + "node_id": "node_3394", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0069)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0074)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0073)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0056)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0033)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0036)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0019)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0029)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0109)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0057)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0061)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0059)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0060)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0064)]\n\nPerformance:\n Mass: 230.89 kg\n Factor of Safety: 1.16\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.8873923531546, + "fos_buckling": 1.1629945159474948, + "fos_yielding": 5.998869365201134, + "deflection": 0.013059107354446046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006393)" + }, + "parent_node_id": "node_3393", + "improvement_over_parent": null + }, + "node_3395": { + "node_id": "node_3395", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0122)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M15: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 254.88 kg\n Factor of Safety: 1.27\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.87817854188208, + "fos_buckling": 1.2700138900911688, + "fos_yielding": 6.637566049406385, + "deflection": 0.011853601473549007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_3394", + "improvement_over_parent": null + }, + "node_3396": { + "node_id": "node_3396", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3395", + "improvement_over_parent": null + }, + "node_3397": { + "node_id": "node_3397", + "content": "INITIAL DESIGN (Trace 482)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0031)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0014)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 163.69 kg\n Factor of Safety: 0.93\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.69398118892488, + "fos_buckling": 0.9308058984647087, + "fos_yielding": 5.474849541953872, + "deflection": 0.017580913875557116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3398": { + "node_id": "node_3398", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0034)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 180.89 kg\n Factor of Safety: 1.02\n Max Deflection: 1.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.89353399806856, + "fos_buckling": 1.0199330560681092, + "fos_yielding": 6.0491869125888975, + "deflection": 0.015939944945863132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_3397", + "improvement_over_parent": null + }, + "node_3399": { + "node_id": "node_3399", + "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0051)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0058)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0054)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 185.33 kg\n Factor of Safety: 1.19\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.3335531403021, + "fos_buckling": 1.1882216908345453, + "fos_yielding": 5.6808013294316515, + "deflection": 0.015528884601985331, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.488)" + }, + "parent_node_id": "node_3398", + "improvement_over_parent": null + }, + "node_3400": { + "node_id": "node_3400", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 215.35 kg\n Factor of Safety: 1.35\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.35034296258667, + "fos_buckling": 1.348472825216479, + "fos_yielding": 6.60313031056926, + "deflection": 0.013410296994333855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_3399", + "improvement_over_parent": null + }, + "node_3401": { + "node_id": "node_3401", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.41 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.40531981535187, + "fos_buckling": 1.5342234761669864, + "fos_yielding": 7.74259410961778, + "deflection": 0.011489929817959543, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_3400", + "improvement_over_parent": null + }, + "node_3402": { + "node_id": "node_3402", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3401", + "improvement_over_parent": null + }, + "node_3403": { + "node_id": "node_3403", + "content": "INITIAL DESIGN (Trace 483)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0020)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 223.42 kg\n Factor of Safety: 0.51\n Max Deflection: 1.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.41562757497886, + "fos_buckling": 0.5059655990481414, + "fos_yielding": 2.051587680946329, + "deflection": 0.01989538834074878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3404": { + "node_id": "node_3404", + "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0030)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 224.00 kg\n Factor of Safety: 0.68\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.0029128853218, + "fos_buckling": 0.6776774757317708, + "fos_yielding": 2.922082955539572, + "deflection": 0.0190934593856078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.471)" + }, + "parent_node_id": "node_3403", + "improvement_over_parent": null + }, + "node_3405": { + "node_id": "node_3405", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 224.63 kg\n Factor of Safety: 0.68\n Max Deflection: 1.86e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.63079206726462, + "fos_buckling": 0.6775950639458408, + "fos_yielding": 3.8526585589941793, + "deflection": 0.018637923797701784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.359)" + }, + "parent_node_id": "node_3404", + "improvement_over_parent": null + }, + "node_3406": { + "node_id": "node_3406", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 251.77 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.76931563564708, + "fos_buckling": 1.4975223423716064, + "fos_yielding": 7.430659097823061, + "deflection": 0.011521679714144547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)" + }, + "parent_node_id": "node_3405", + "improvement_over_parent": null + }, + "node_3407": { + "node_id": "node_3407", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4736364825681, + "fos_buckling": 1.5345422342143278, + "fos_yielding": 7.747642688185963, + "deflection": 0.011486826308915213, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_3406", + "improvement_over_parent": null + }, + "node_3408": { + "node_id": "node_3408", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3407", + "improvement_over_parent": null + }, + "node_3409": { + "node_id": "node_3409", + "content": "INITIAL DESIGN (Trace 484)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 208.03 kg\n Factor of Safety: 0.78\n Max Deflection: 1.76e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.02732822526798, + "fos_buckling": 0.7770146756226506, + "fos_yielding": 5.840455499770206, + "deflection": 0.01764823971774995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3410": { + "node_id": "node_3410", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 231.31 kg\n Factor of Safety: 0.78\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.31316782736522, + "fos_buckling": 0.7752196051769019, + "fos_yielding": 5.827681060025174, + "deflection": 0.017346133880674967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)" + }, + "parent_node_id": "node_3409", + "improvement_over_parent": null + }, + "node_3411": { + "node_id": "node_3411", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 249.93 kg\n Factor of Safety: 0.80\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.92869388373254, + "fos_buckling": 0.8024348650397091, + "fos_yielding": 4.471659813436082, + "deflection": 0.015748305070586218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_3410", + "improvement_over_parent": null + }, + "node_3412": { + "node_id": "node_3412", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47468604479468, + "fos_buckling": 1.5345733879322294, + "fos_yielding": 7.7438950662768695, + "deflection": 0.011486915002081113, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_3411", + "improvement_over_parent": null + }, + "node_3413": { + "node_id": "node_3413", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3412", + "improvement_over_parent": null + }, + "node_3414": { + "node_id": "node_3414", + "content": "INITIAL DESIGN (Trace 485)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 202.45 kg\n Factor of Safety: 0.29\n Max Deflection: 4.42e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.44953493174432, + "fos_buckling": 0.29117032977530005, + "fos_yielding": 1.6949155087519892, + "deflection": 44240697772417.695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3415": { + "node_id": "node_3415", + "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 205.81 kg\n Factor of Safety: 0.24\n Max Deflection: 5.13e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.8075050796779, + "fos_buckling": 0.24162082967441484, + "fos_yielding": 1.6949155087519892, + "deflection": 51343839109392.92, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.238)" + }, + "parent_node_id": "node_3414", + "improvement_over_parent": null + }, + "node_3416": { + "node_id": "node_3416", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0055)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 220.53 kg\n Factor of Safety: 0.39\n Max Deflection: 5.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.53201268833547, + "fos_buckling": 0.3919796838047384, + "fos_yielding": 2.9606195529786437, + "deflection": 0.05160726385529992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)" + }, + "parent_node_id": "node_3415", + "improvement_over_parent": null + }, + "node_3417": { + "node_id": "node_3417", + "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 226.64 kg\n Factor of Safety: 0.39\n Max Deflection: 5.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.63558803984282, + "fos_buckling": 0.3917503635066115, + "fos_yielding": 2.9588959625637337, + "deflection": 0.051450173860123155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.410)" + }, + "parent_node_id": "node_3416", + "improvement_over_parent": null + }, + "node_3418": { + "node_id": "node_3418", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 227.34 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.33990888676385, + "fos_buckling": 0.44254738318520953, + "fos_yielding": 1.8798020295335216, + "deflection": 0.024024812887988842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_3417", + "improvement_over_parent": null + }, + "node_3419": { + "node_id": "node_3419", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M7: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.46 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4620505386107, + "fos_buckling": 1.5347831461869998, + "fos_yielding": 7.743625145138539, + "deflection": 0.011487762755513834, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_3418", + "improvement_over_parent": null + }, + "node_3420": { + "node_id": "node_3420", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3419", + "improvement_over_parent": null + }, + "node_3421": { + "node_id": "node_3421", + "content": "INITIAL DESIGN (Trace 486)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 208.14 kg\n Factor of Safety: 0.60\n Max Deflection: 9.50e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.136492818382, + "fos_buckling": 0.6039381259973311, + "fos_yielding": 3.3898310175039783, + "deflection": 9496963335615.777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3422": { + "node_id": "node_3422", + "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n\nPerformance:\n Mass: 224.81 kg\n Factor of Safety: 0.44\n Max Deflection: 2.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.8067766246391, + "fos_buckling": 0.4426819354349327, + "fos_yielding": 1.8809720515827721, + "deflection": 0.026525023947982368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)" + }, + "parent_node_id": "node_3421", + "improvement_over_parent": null + }, + "node_3423": { + "node_id": "node_3423", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 227.35 kg\n Factor of Safety: 0.44\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.35276878570124, + "fos_buckling": 0.4424634346093898, + "fos_yielding": 1.8800524804171403, + "deflection": 0.024025166940959342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)" + }, + "parent_node_id": "node_3422", + "improvement_over_parent": null + }, + "node_3424": { + "node_id": "node_3424", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M14: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4749104375481, + "fos_buckling": 1.5345627623964346, + "fos_yielding": 7.743869215333045, + "deflection": 0.01148690394530531, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_3423", + "improvement_over_parent": null + }, + "node_3425": { + "node_id": "node_3425", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3424", + "improvement_over_parent": null + }, + "node_3426": { + "node_id": "node_3426", + "content": "INITIAL DESIGN (Trace 487)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n\nPerformance:\n Mass: 190.62 kg\n Factor of Safety: 0.64\n Max Deflection: 2.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.6160746459842, + "fos_buckling": 0.6399771192802693, + "fos_yielding": 3.3389612658616397, + "deflection": 0.020320498793402354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3427": { + "node_id": "node_3427", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0059)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0064)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0055)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0048)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0058)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0049)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0052)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0051)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0052)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n\nPerformance:\n Mass: 192.61 kg\n Factor of Safety: 1.06\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.61121127717158, + "fos_buckling": 1.0634098255536222, + "fos_yielding": 6.3928322560183215, + "deflection": 0.015314128645566952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003118)" + }, + "parent_node_id": "node_3426", + "improvement_over_parent": null + }, + "node_3428": { + "node_id": "node_3428", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 246.07 kg\n Factor of Safety: 1.32\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.06662923154167, + "fos_buckling": 1.3165473303405701, + "fos_yielding": 8.16269539963102, + "deflection": 0.012053166790618018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_3427", + "improvement_over_parent": null + }, + "node_3429": { + "node_id": "node_3429", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0060)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0107)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 253.67 kg\n Factor of Safety: 1.31\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.6658030610263, + "fos_buckling": 1.3134666610915247, + "fos_yielding": 8.326426260208448, + "deflection": 0.011704584827285404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.318)" + }, + "parent_node_id": "node_3428", + "improvement_over_parent": null + }, + "node_3430": { + "node_id": "node_3430", + "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0107)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 259.80 kg\n Factor of Safety: 1.45\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.80499054849906, + "fos_buckling": 1.45409632652344, + "fos_yielding": 8.127951450791045, + "deflection": 0.011156285855191453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.355)" + }, + "parent_node_id": "node_3429", + "improvement_over_parent": null + }, + "node_3431": { + "node_id": "node_3431", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3430", + "improvement_over_parent": null + }, + "node_3432": { + "node_id": "node_3432", + "content": "INITIAL DESIGN (Trace 488)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0025)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n Mass: 130.72 kg\n Factor of Safety: 0.75\n Max Deflection: 2.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.7217699424928, + "fos_buckling": 0.7489545908715911, + "fos_yielding": 4.013711013619769, + "deflection": 0.021667574269501798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3433": { + "node_id": "node_3433", + "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0027)]\n\nPerformance:\n Mass: 133.97 kg\n Factor of Safety: 0.86\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.97188258618274, + "fos_buckling": 0.8635974659799331, + "fos_yielding": 4.191183572441836, + "deflection": 0.021309720413539252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.460)" + }, + "parent_node_id": "node_3432", + "improvement_over_parent": null + }, + "node_3434": { + "node_id": "node_3434", + "content": "MODIFICATION: Increase 15 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0032)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 136.53 kg\n Factor of Safety: 0.91\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.53109141835142, + "fos_buckling": 0.9087892380465253, + "fos_yielding": 4.179027148864412, + "deflection": 0.02112369016444725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.337)" + }, + "parent_node_id": "node_3433", + "improvement_over_parent": null + }, + "node_3435": { + "node_id": "node_3435", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0042)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0021)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0039)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0034)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0020)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0022)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0044)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0041)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0035)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0037)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0036)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0037)]\n\nPerformance:\n Mass: 139.47 kg\n Factor of Safety: 0.91\n Max Deflection: 2.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.469738453839, + "fos_buckling": 0.9089878310569529, + "fos_yielding": 4.4002940127869525, + "deflection": 0.020436928098538365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.316)" + }, + "parent_node_id": "node_3434", + "improvement_over_parent": null + }, + "node_3436": { + "node_id": "node_3436", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0049)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0052)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0025)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0045)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0039)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0023)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0026)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0013)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0051)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0040)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0043)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 160.97 kg\n Factor of Safety: 1.03\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.97008108497022, + "fos_buckling": 1.0304743955109064, + "fos_yielding": 5.079228958113482, + "deflection": 0.017751654418568786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_3435", + "improvement_over_parent": null + }, + "node_3437": { + "node_id": "node_3437", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0032)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.26\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.21261454011125, + "fos_buckling": 1.2603037667061359, + "fos_yielding": 6.445105213000362, + "deflection": 0.01406310850793329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_3436", + "improvement_over_parent": null + }, + "node_3438": { + "node_id": "node_3438", + "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0063)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0068)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0055)]\n\nPerformance:\n Mass: 208.92 kg\n Factor of Safety: 1.31\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.9205532965284, + "fos_buckling": 1.314832746901572, + "fos_yielding": 6.405897641693972, + "deflection": 0.013812851154637405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.631)" + }, + "parent_node_id": "node_3437", + "improvement_over_parent": null + }, + "node_3439": { + "node_id": "node_3439", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4862064619192, + "fos_buckling": 1.5345549011242297, + "fos_yielding": 7.7455444954099235, + "deflection": 0.011486337698195305, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_3438", + "improvement_over_parent": null + }, + "node_3440": { + "node_id": "node_3440", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3439", + "improvement_over_parent": null + }, + "node_3441": { + "node_id": "node_3441", + "content": "INITIAL DESIGN (Trace 489)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0070)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0069)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0042)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n\nPerformance:\n Mass: 206.89 kg\n Factor of Safety: 1.01\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.88906068878097, + "fos_buckling": 1.0147584916700363, + "fos_yielding": 5.751842599339359, + "deflection": 0.014344548447198536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3442": { + "node_id": "node_3442", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 241.83 kg\n Factor of Safety: 1.17\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.8313386306338, + "fos_buckling": 1.1676562662069547, + "fos_yielding": 6.729608049751437, + "deflection": 0.012314425220266914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_3441", + "improvement_over_parent": null + }, + "node_3443": { + "node_id": "node_3443", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 242.54 kg\n Factor of Safety: 1.17\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.53565947755484, + "fos_buckling": 1.17018595508476, + "fos_yielding": 7.002717652994741, + "deflection": 0.012276151257164147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_3442", + "improvement_over_parent": null + }, + "node_3444": { + "node_id": "node_3444", + "content": "MODIFICATION: Increase 10 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0123)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 255.05 kg\n Factor of Safety: 1.27\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.04911504215093, + "fos_buckling": 1.2659937806085488, + "fos_yielding": 6.62268837857311, + "deflection": 0.011858077551714585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.631)" + }, + "parent_node_id": "node_3443", + "improvement_over_parent": null + }, + "node_3445": { + "node_id": "node_3445", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3444", + "improvement_over_parent": null + }, + "node_3446": { + "node_id": "node_3446", + "content": "INITIAL DESIGN (Trace 490)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0041)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 184.27 kg\n Factor of Safety: 0.39\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.26915371858277, + "fos_buckling": 0.3877213997654644, + "fos_yielding": 3.4787172848139005, + "deflection": 0.01744401704001394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3447": { + "node_id": "node_3447", + "content": "MODIFICATION: Increase 10 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0062)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0067)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0058)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0050)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0030)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0033)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0061)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0052)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0055)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0053)]\n\nPerformance:\n Mass: 192.31 kg\n Factor of Safety: 0.38\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.30680543998918, + "fos_buckling": 0.382087547041522, + "fos_yielding": 3.4760674361337727, + "deflection": 0.016520316805794345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.603)" + }, + "parent_node_id": "node_3446", + "improvement_over_parent": null + }, + "node_3448": { + "node_id": "node_3448", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 233.47 kg\n Factor of Safety: 0.45\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.46545216640945, + "fos_buckling": 0.44604657227088695, + "fos_yielding": 4.203585237299378, + "deflection": 0.013696232394946384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_3447", + "improvement_over_parent": null + }, + "node_3449": { + "node_id": "node_3449", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.08 kg\n Factor of Safety: 1.37\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.08097822277676, + "fos_buckling": 1.3714591118353208, + "fos_yielding": 7.739197584734293, + "deflection": 0.011516365591287754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_3448", + "improvement_over_parent": null + }, + "node_3450": { + "node_id": "node_3450", + "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0082)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.54 kg\n Factor of Safety: 1.54\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.53923013364943, + "fos_buckling": 1.5355496673474656, + "fos_yielding": 7.747223343985143, + "deflection": 0.011483678919827406, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.425)" + }, + "parent_node_id": "node_3449", + "improvement_over_parent": null + }, + "node_3451": { + "node_id": "node_3451", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3450", + "improvement_over_parent": null + }, + "node_3452": { + "node_id": "node_3452", + "content": "INITIAL DESIGN (Trace 491)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 228.94 kg\n Factor of Safety: 0.41\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.93787130887335, + "fos_buckling": 0.40572119413261504, + "fos_yielding": 5.410054461119413, + "deflection": 0.014140296770340342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3453": { + "node_id": "node_3453", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0066)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 247.79 kg\n Factor of Safety: 1.40\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.78591932418556, + "fos_buckling": 1.4043965196445292, + "fos_yielding": 7.708287580348302, + "deflection": 0.011882686196786514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)" + }, + "parent_node_id": "node_3452", + "improvement_over_parent": null + }, + "node_3454": { + "node_id": "node_3454", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.06 kg\n Factor of Safety: 1.52\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.05767340851048, + "fos_buckling": 1.5176534193202857, + "fos_yielding": 7.721713420778256, + "deflection": 0.011532049813685377, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.225)" + }, + "parent_node_id": "node_3453", + "improvement_over_parent": null + }, + "node_3455": { + "node_id": "node_3455", + "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.474041374767, + "fos_buckling": 1.5345685393027682, + "fos_yielding": 7.744523607782298, + "deflection": 0.011486919812732463, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.267)" + }, + "parent_node_id": "node_3454", + "improvement_over_parent": null + }, + "node_3456": { + "node_id": "node_3456", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3455", + "improvement_over_parent": null + }, + "node_3457": { + "node_id": "node_3457", + "content": "INITIAL DESIGN (Trace 492)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n\nPerformance:\n Mass: 163.96 kg\n Factor of Safety: 0.65\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.9601048355369, + "fos_buckling": 0.6498584599001994, + "fos_yielding": 3.7022496365655835, + "deflection": 0.027205400780275772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3458": { + "node_id": "node_3458", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0036)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0026)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0057)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0053)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0045)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0048)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0047)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0048)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0044)]\n\nPerformance:\n Mass: 174.63 kg\n Factor of Safety: 1.01\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.62616598212693, + "fos_buckling": 1.0052596566359389, + "fos_yielding": 5.107681683673431, + "deflection": 0.016884627799905134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004398)" + }, + "parent_node_id": "node_3457", + "improvement_over_parent": null + }, + "node_3459": { + "node_id": "node_3459", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n\nPerformance:\n Mass: 193.68 kg\n Factor of Safety: 1.10\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.6816780099753, + "fos_buckling": 1.1021409047267434, + "fos_yielding": 5.665544208878822, + "deflection": 0.015252647337355598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_3458", + "improvement_over_parent": null + }, + "node_3460": { + "node_id": "node_3460", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 194.25 kg\n Factor of Safety: 1.10\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.24770443832952, + "fos_buckling": 1.0992079748171475, + "fos_yielding": 5.900503677214788, + "deflection": 0.015207086001681379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001685)" + }, + "parent_node_id": "node_3459", + "improvement_over_parent": null + }, + "node_3461": { + "node_id": "node_3461", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0040)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 196.86 kg\n Factor of Safety: 1.24\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.85715969283564, + "fos_buckling": 1.2392347614177406, + "fos_yielding": 5.739436024487021, + "deflection": 0.014982336812674179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.218)" + }, + "parent_node_id": "node_3460", + "improvement_over_parent": null + }, + "node_3462": { + "node_id": "node_3462", + "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0061)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0065)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0056)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0029)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0032)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0064)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0059)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0050)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0053)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0053)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0049)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0017)]\n\nPerformance:\n Mass: 202.77 kg\n Factor of Safety: 1.28\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.7718650056136, + "fos_buckling": 1.282340667094039, + "fos_yielding": 6.216556449568262, + "deflection": 0.014221726151754835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.524)" + }, + "parent_node_id": "node_3461", + "improvement_over_parent": null + }, + "node_3463": { + "node_id": "node_3463", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.45 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.45300952279297, + "fos_buckling": 1.534396867789757, + "fos_yielding": 7.744066595587908, + "deflection": 0.011487812267934954, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_3462", + "improvement_over_parent": null + }, + "node_3464": { + "node_id": "node_3464", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3463", + "improvement_over_parent": null + }, + "node_3465": { + "node_id": "node_3465", + "content": "INITIAL DESIGN (Trace 493)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0047)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 152.90 kg\n Factor of Safety: 0.35\n Max Deflection: 3.99e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.90296707512218, + "fos_buckling": 0.3463442067199952, + "fos_yielding": 0.9586784099931204, + "deflection": 0.03991320572963861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3466": { + "node_id": "node_3466", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 180.22 kg\n Factor of Safety: 0.40\n Max Deflection: 3.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.21848891264523, + "fos_buckling": 0.39765725179827294, + "fos_yielding": 1.124821596497348, + "deflection": 0.0340108821266012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_3465", + "improvement_over_parent": null + }, + "node_3467": { + "node_id": "node_3467", + "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n\nPerformance:\n Mass: 193.12 kg\n Factor of Safety: 0.40\n Max Deflection: 2.77e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.11721331467692, + "fos_buckling": 0.3974078736082721, + "fos_yielding": 1.6135557139743661, + "deflection": 0.02770971365843392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005395)" + }, + "parent_node_id": "node_3466", + "improvement_over_parent": null + }, + "node_3468": { + "node_id": "node_3468", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 220.62 kg\n Factor of Safety: 0.44\n Max Deflection: 2.43e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.61617498619097, + "fos_buckling": 0.44270910330667185, + "fos_yielding": 1.8363272456543185, + "deflection": 0.024344152721502938, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_3467", + "improvement_over_parent": null + }, + "node_3469": { + "node_id": "node_3469", + "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0086)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n\nPerformance:\n Mass: 225.08 kg\n Factor of Safety: 0.44\n Max Deflection: 2.43e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.07828495256183, + "fos_buckling": 0.4426133357227505, + "fos_yielding": 1.8147708281253334, + "deflection": 0.024301926895171456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.271)" + }, + "parent_node_id": "node_3468", + "improvement_over_parent": null + }, + "node_3470": { + "node_id": "node_3470", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0086)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 250.20 kg\n Factor of Safety: 1.59\n Max Deflection: 1.17e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 250.20042660440868, + "fos_buckling": 1.585042294906175, + "fos_yielding": 7.475883514130268, + "deflection": 0.011699387560373056, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)" + }, + "parent_node_id": "node_3469", + "improvement_over_parent": null + }, + "node_3471": { + "node_id": "node_3471", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M6: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M10: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M11: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M12: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0052)]\n M13: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0086)]\n M14: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 253.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.43727749879946, + "fos_buckling": 1.5341615030876097, + "fos_yielding": 7.704390960517106, + "deflection": 0.011475690690098529, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.185)" + }, + "parent_node_id": "node_3470", + "improvement_over_parent": null + }, + "node_3472": { + "node_id": "node_3472", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3471", + "improvement_over_parent": null + }, + "node_3473": { + "node_id": "node_3473", + "content": "INITIAL DESIGN (Trace 494)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 172.08 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.08052979681838, + "fos_buckling": 1.4839220240014692, + "fos_yielding": 7.630887913979913, + "deflection": 15194442026005.615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3474": { + "node_id": "node_3474", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0046)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0071)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0064)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0058)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0056)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n\nPerformance:\n Mass: 195.56 kg\n Factor of Safety: 0.81\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.56184722582066, + "fos_buckling": 0.8146633646999292, + "fos_yielding": 4.210845990737685, + "deflection": 0.018806530082977207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006955)" + }, + "parent_node_id": "node_3473", + "improvement_over_parent": null + }, + "node_3475": { + "node_id": "node_3475", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0054)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 226.07 kg\n Factor of Safety: 0.92\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.0710966636511, + "fos_buckling": 0.9163291545115103, + "fos_yielding": 4.871974380933408, + "deflection": 0.016306111615993487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_3474", + "improvement_over_parent": null + }, + "node_3476": { + "node_id": "node_3476", + "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n\nPerformance:\n Mass: 232.47 kg\n Factor of Safety: 0.92\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.46561917155736, + "fos_buckling": 0.9157621447427984, + "fos_yielding": 6.808511718573423, + "deflection": 0.014757144349320864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.437)" + }, + "parent_node_id": "node_3475", + "improvement_over_parent": null + }, + "node_3477": { + "node_id": "node_3477", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n\nPerformance:\n Mass: 251.73 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.73185999246468, + "fos_buckling": 1.4972986098910468, + "fos_yielding": 7.426177184326169, + "deflection": 0.011523473156765659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)" + }, + "parent_node_id": "node_3476", + "improvement_over_parent": null + }, + "node_3478": { + "node_id": "node_3478", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M13: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M14: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.44 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.4361808393857, + "fos_buckling": 1.5344428106693342, + "fos_yielding": 7.743037528418274, + "deflection": 0.011488598600322142, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_3477", + "improvement_over_parent": null + }, + "node_3479": { + "node_id": "node_3479", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3478", + "improvement_over_parent": null + }, + "node_3480": { + "node_id": "node_3480", + "content": "INITIAL DESIGN (Trace 495)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0052)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0056)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0048)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0042)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0025)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0028)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0012)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0051)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0043)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0045)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0046)]\n\nPerformance:\n Mass: 163.01 kg\n Factor of Safety: 0.31\n Max Deflection: 1.91e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.00529069349142, + "fos_buckling": 0.31057294927074425, + "fos_yielding": 3.7583929071789206, + "deflection": 0.019071755012188295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3481": { + "node_id": "node_3481", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 203.81 kg\n Factor of Safety: 0.38\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.81314955817209, + "fos_buckling": 0.37636978263324766, + "fos_yielding": 4.7013115010295925, + "deflection": 0.015312990530002905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_3480", + "improvement_over_parent": null + }, + "node_3482": { + "node_id": "node_3482", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 0.37\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.15439618465896, + "fos_buckling": 0.3668641176300941, + "fos_yielding": 4.701311501029586, + "deflection": 0.01527844195843845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.435)" + }, + "parent_node_id": "node_3481", + "improvement_over_parent": null + }, + "node_3483": { + "node_id": "node_3483", + "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0067)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0054)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0023)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n\nPerformance:\n Mass: 215.49 kg\n Factor of Safety: 1.14\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.49261861531306, + "fos_buckling": 1.140695692588724, + "fos_yielding": 6.470571891062636, + "deflection": 0.013325527108193711, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003933)" + }, + "parent_node_id": "node_3482", + "improvement_over_parent": null + }, + "node_3484": { + "node_id": "node_3484", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n\nPerformance:\n Mass: 246.35 kg\n Factor of Safety: 1.29\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.34555453949835, + "fos_buckling": 1.2874397452251334, + "fos_yielding": 7.402267322394405, + "deflection": 0.011696698426609897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_3483", + "improvement_over_parent": null + }, + "node_3485": { + "node_id": "node_3485", + "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0026)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n\nPerformance:\n Mass: 253.88 kg\n Factor of Safety: 1.28\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.88231763548063, + "fos_buckling": 1.277796402247991, + "fos_yielding": 7.425792308994169, + "deflection": 0.011586503289276228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.490)" + }, + "parent_node_id": "node_3484", + "improvement_over_parent": null + }, + "node_3486": { + "node_id": "node_3486", + "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0098)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0046)]\n\nPerformance:\n Mass: 254.17 kg\n Factor of Safety: 1.28\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.17443887863956, + "fos_buckling": 1.275888644478507, + "fos_yielding": 7.430041779082883, + "deflection": 0.011565804373979112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.238)" + }, + "parent_node_id": "node_3485", + "improvement_over_parent": null + }, + "node_3487": { + "node_id": "node_3487", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3486", + "improvement_over_parent": null + }, + "node_3488": { + "node_id": "node_3488", + "content": "INITIAL DESIGN (Trace 496)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0050)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0053)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0046)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0052)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0040)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0024)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0016)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0036)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0049)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0041)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0044)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0043)]\n\nPerformance:\n Mass: 160.25 kg\n Factor of Safety: 0.52\n Max Deflection: 2.62e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.24595610557407, + "fos_buckling": 0.5193115675272819, + "fos_yielding": 2.11230882726289, + "deflection": 0.02617305256692059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3489": { + "node_id": "node_3489", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 179.18 kg\n Factor of Safety: 0.58\n Max Deflection: 2.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.18333322301095, + "fos_buckling": 0.5758896933542946, + "fos_yielding": 2.3664667263956414, + "deflection": 0.023427825183779317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_3488", + "improvement_over_parent": null + }, + "node_3490": { + "node_id": "node_3490", + "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n\nPerformance:\n Mass: 179.30 kg\n Factor of Safety: 0.58\n Max Deflection: 2.33e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.30431437492018, + "fos_buckling": 0.5800502564656689, + "fos_yielding": 2.9247587827566255, + "deflection": 0.02328378405286441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.321)" + }, + "parent_node_id": "node_3489", + "improvement_over_parent": null + }, + "node_3491": { + "node_id": "node_3491", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0018)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0040)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0055)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0049)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n Mass: 181.20 kg\n Factor of Safety: 0.95\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.1982988270493, + "fos_buckling": 0.9488462445060535, + "fos_yielding": 5.3086273978790475, + "deflection": 0.01620865795685219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002949)" + }, + "parent_node_id": "node_3490", + "improvement_over_parent": null + }, + "node_3492": { + "node_id": "node_3492", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0067)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0051)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0021)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0046)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0062)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0054)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0056)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n\nPerformance:\n Mass: 204.59 kg\n Factor of Safety: 1.06\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.58962722733293, + "fos_buckling": 1.0588547988523085, + "fos_yielding": 5.9974906319338865, + "deflection": 0.014390475730432414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_3491", + "improvement_over_parent": null + }, + "node_3493": { + "node_id": "node_3493", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0055)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 244.00 kg\n Factor of Safety: 1.24\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.9991724146635, + "fos_buckling": 1.237762059699758, + "fos_yielding": 7.160204287925108, + "deflection": 0.012115403609808046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_3492", + "improvement_over_parent": null + }, + "node_3494": { + "node_id": "node_3494", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 249.19 kg\n Factor of Safety: 1.43\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.1880598884912, + "fos_buckling": 1.430336452983057, + "fos_yielding": 7.556016834401596, + "deflection": 0.011693140594109495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.297)" + }, + "parent_node_id": "node_3493", + "improvement_over_parent": null + }, + "node_3495": { + "node_id": "node_3495", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0072)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0111)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n\nPerformance:\n Mass: 258.77 kg\n Factor of Safety: 1.47\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.76780000044835, + "fos_buckling": 1.4682162256723572, + "fos_yielding": 7.195780501585557, + "deflection": 0.011418993052176153, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.475)" + }, + "parent_node_id": "node_3494", + "improvement_over_parent": null + }, + "node_3496": { + "node_id": "node_3496", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3495", + "improvement_over_parent": null + }, + "node_3497": { + "node_id": "node_3497", + "content": "INITIAL DESIGN (Trace 497)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0044)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0034)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0041)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0036)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0021)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0023)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0012)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0019)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0047)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0027)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0037)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0039)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0038)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0039)]\n\nPerformance:\n Mass: 126.06 kg\n Factor of Safety: 0.29\n Max Deflection: 4.56e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.0601068361545, + "fos_buckling": 0.2852848772787801, + "fos_yielding": 1.134700733318977, + "deflection": 0.045590216652464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3498": { + "node_id": "node_3498", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n\nPerformance:\n Mass: 163.99 kg\n Factor of Safety: 0.36\n Max Deflection: 3.52e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.98913688187943, + "fos_buckling": 0.3583996591291483, + "fos_yielding": 1.467317264850686, + "deflection": 0.035165577297760243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_3497", + "improvement_over_parent": null + }, + "node_3499": { + "node_id": "node_3499", + "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0058)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0045)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0054)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0047)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0028)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0031)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0016)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0025)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0062)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0036)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0048)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0051)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0051)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0045)]\n\nPerformance:\n Mass: 178.40 kg\n Factor of Safety: 0.99\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.40322524010006, + "fos_buckling": 0.9866884668726142, + "fos_yielding": 5.727308043631791, + "deflection": 0.01703950933083839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004489)" + }, + "parent_node_id": "node_3498", + "improvement_over_parent": null + }, + "node_3500": { + "node_id": "node_3500", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0065)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0050)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0040)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0054)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0057)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0055)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0057)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0050)]\n\nPerformance:\n Mass: 196.83 kg\n Factor of Safety: 1.08\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.83323729860922, + "fos_buckling": 1.076764526689988, + "fos_yielding": 6.31521736353774, + "deflection": 0.015467985356807542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_3499", + "improvement_over_parent": null + }, + "node_3501": { + "node_id": "node_3501", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n Mass: 230.95 kg\n Factor of Safety: 1.24\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.94709159444565, + "fos_buckling": 1.237736910533928, + "fos_yielding": 7.402588519875308, + "deflection": 0.013220384806676989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_3500", + "improvement_over_parent": null + }, + "node_3502": { + "node_id": "node_3502", + "content": "MODIFICATION: Increase 11 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0100)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n Mass: 239.16 kg\n Factor of Safety: 1.20\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.15561231611431, + "fos_buckling": 1.201136573831698, + "fos_yielding": 7.593915490373952, + "deflection": 0.013114708309940798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.575)" + }, + "parent_node_id": "node_3501", + "improvement_over_parent": null + }, + "node_3503": { + "node_id": "node_3503", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0059)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0085)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0100)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n Mass: 243.95 kg\n Factor of Safety: 1.20\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.94769764127795, + "fos_buckling": 1.2034555453611104, + "fos_yielding": 7.572722190289366, + "deflection": 0.013033515536121792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.372)" + }, + "parent_node_id": "node_3502", + "improvement_over_parent": null + }, + "node_3504": { + "node_id": "node_3504", + "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0085)]\n M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0048)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0100)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n Mass: 250.97 kg\n Factor of Safety: 1.27\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.96881544820303, + "fos_buckling": 1.2713441442719113, + "fos_yielding": 8.046734451151082, + "deflection": 0.012291249371201738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.403)" + }, + "parent_node_id": "node_3503", + "improvement_over_parent": null + }, + "node_3505": { + "node_id": "node_3505", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3504", + "improvement_over_parent": null + }, + "node_3506": { + "node_id": "node_3506", + "content": "INITIAL DESIGN (Trace 498)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n\nPerformance:\n Mass: 181.64 kg\n Factor of Safety: 1.29\n Max Deflection: 1.86e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.64339480314126, + "fos_buckling": 1.2938139257076058, + "fos_yielding": 8.003129784795076, + "deflection": 18563561963561.07, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3507": { + "node_id": "node_3507", + "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0064)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0069)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0059)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0052)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0031)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0034)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0027)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0068)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0063)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0053)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0056)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0042)]\n\nPerformance:\n Mass: 193.31 kg\n Factor of Safety: 0.68\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.31106406305162, + "fos_buckling": 0.6772145279888895, + "fos_yielding": 4.962525942417396, + "deflection": 0.022650720148439333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004186)" + }, + "parent_node_id": "node_3506", + "improvement_over_parent": null + }, + "node_3508": { + "node_id": "node_3508", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0050)]\n\nPerformance:\n Mass: 229.10 kg\n Factor of Safety: 0.78\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.09519921946887, + "fos_buckling": 0.7753004828489035, + "fos_yielding": 5.83341309302679, + "deflection": 0.019221304950948197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_3507", + "improvement_over_parent": null + }, + "node_3509": { + "node_id": "node_3509", + "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n\nPerformance:\n Mass: 233.00 kg\n Factor of Safety: 0.77\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.00177178233258, + "fos_buckling": 0.774726078231235, + "fos_yielding": 5.82271236156918, + "deflection": 0.018263928172301762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.309)" + }, + "parent_node_id": "node_3508", + "improvement_over_parent": null + }, + "node_3510": { + "node_id": "node_3510", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 251.62 kg\n Factor of Safety: 1.50\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.6172978386999, + "fos_buckling": 1.4967879497491174, + "fos_yielding": 7.422409303364799, + "deflection": 0.011528958738210814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)" + }, + "parent_node_id": "node_3509", + "improvement_over_parent": null + }, + "node_3511": { + "node_id": "node_3511", + "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M11: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M12: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M13: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n\nPerformance:\n Mass: 252.32 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.32161868562093, + "fos_buckling": 1.5337474329762548, + "fos_yielding": 7.73926390998295, + "deflection": 0.011494031851690104, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)" + }, + "parent_node_id": "node_3510", + "improvement_over_parent": null + }, + "node_3512": { + "node_id": "node_3512", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3511", + "improvement_over_parent": null + }, + "node_3513": { + "node_id": "node_3513", + "content": "INITIAL DESIGN (Trace 499)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (12 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n\nPerformance:\n Mass: 132.70 kg\n Factor of Safety: 0.24\n Max Deflection: 8.33e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.7029521835976, + "fos_buckling": 0.24469444934301385, + "fos_yielding": 0.8474577543759946, + "deflection": 83341803155620.4, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3514": { + "node_id": "node_3514", + "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (13 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n\nPerformance:\n Mass: 152.85 kg\n Factor of Safety: 0.53\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.85387799412956, + "fos_buckling": 0.5305442311820356, + "fos_yielding": 4.396288626124868, + "deflection": 0.02397625853615435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005900)" + }, + "parent_node_id": "node_3513", + "improvement_over_parent": null + }, + "node_3515": { + "node_id": "node_3515", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0056)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0060)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0052)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0038)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0027)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0015)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0024)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0046)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0049)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0048)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0059)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0029)]\n\nPerformance:\n Mass: 154.74 kg\n Factor of Safety: 0.32\n Max Deflection: 2.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.7442565241827, + "fos_buckling": 0.32371058062503827, + "fos_yielding": 4.394702951978027, + "deflection": 0.022816818356790603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002943)" + }, + "parent_node_id": "node_3514", + "improvement_over_parent": null + }, + "node_3516": { + "node_id": "node_3516", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (14 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n\nPerformance:\n Mass: 182.20 kg\n Factor of Safety: 0.37\n Max Deflection: 1.94e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.20252686562893, + "fos_buckling": 0.3705336456416294, + "fos_yielding": 5.139956763121368, + "deflection": 0.019445830802777935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_3515", + "improvement_over_parent": null + }, + "node_3517": { + "node_id": "node_3517", + "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (15 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n\nPerformance:\n Mass: 198.48 kg\n Factor of Safety: 0.82\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.4786454047628, + "fos_buckling": 0.8214632974385538, + "fos_yielding": 5.97243015994577, + "deflection": 0.016859570095832332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005826)" + }, + "parent_node_id": "node_3516", + "improvement_over_parent": null + }, + "node_3518": { + "node_id": "node_3518", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0066)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0072)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0062)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0045)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0032)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0018)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0028)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0055)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0059)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0057)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0070)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0035)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0058)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0065)]\n\nPerformance:\n Mass: 218.84 kg\n Factor of Safety: 1.33\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.83806592299885, + "fos_buckling": 1.3273244377545834, + "fos_yielding": 6.75434175329138, + "deflection": 0.013155201980035992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006516)" + }, + "parent_node_id": "node_3517", + "improvement_over_parent": null + }, + "node_3519": { + "node_id": "node_3519", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0053)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 250.14 kg\n Factor of Safety: 1.48\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.13917367130261, + "fos_buckling": 1.4826190288362533, + "fos_yielding": 7.722518944021685, + "deflection": 0.011550740960450482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_3518", + "improvement_over_parent": null + }, + "node_3520": { + "node_id": "node_3520", + "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M8: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M9: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M10: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M11: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M12: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M13: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M14: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n M15: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n\nPerformance:\n Mass: 252.24 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.2393174097835, + "fos_buckling": 1.5334631741827667, + "fos_yielding": 7.736304489028901, + "deflection": 0.011497313818767752, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.183)" + }, + "parent_node_id": "node_3519", + "improvement_over_parent": null + }, + "node_3521": { + "node_id": "node_3521", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0077)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0083)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0071)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0062)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0037)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0041)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0021)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0033)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0081)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0075)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0064)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0068)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0066)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0067)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.53\n Max Deflection: 1.15e-02 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.47350407438842, + "fos_buckling": 1.534569200232752, + "fos_yielding": 7.744491336201017, + "deflection": 0.011486930451481015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3520", + "improvement_over_parent": null + } + }, + "edges": [ + { + "from_node": "node_0", + "to_node": "node_1", + "edge_type": "modification", + "reasoning": "Add member connecting joints 4 and 5", + "metadata": null, + "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_1", + "to_node": "node_2", + "edge_type": "modification", + "reasoning": "Increase 13 thickness by 64%", + "metadata": null, + "grammar_action": "SCALE_PARAM(13, thickness, 1.645)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_2", + "to_node": "node_3", + "edge_type": "modification", + "reasoning": "Add member connecting joints 2 and 7", + "metadata": null, + "grammar_action": "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_3", + "to_node": "node_4", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_5", + "to_node": "node_6", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 17%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_6", + "to_node": "node_7", + "edge_type": "modification", + "reasoning": "Increase 15 thickness by 47%", + "metadata": null, + "grammar_action": "SCALE_PARAM(15, thickness, 1.471)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_7", + "to_node": "node_8", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 30%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_8", + "to_node": "node_9", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_10", + "to_node": "node_11", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 25%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_11", + "to_node": "node_12", + "edge_type": "modification", + "reasoning": "Add member connecting joints 5 and 6", + "metadata": null, + "grammar_action": "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_12", + "to_node": "node_13", + "edge_type": "modification", + "reasoning": "Add member connecting joints 0 and 5", + "metadata": null, + "grammar_action": "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_13", + "to_node": "node_14", + "edge_type": "modification", + "reasoning": "Add member connecting joints 2 and 6", + "metadata": null, + "grammar_action": "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_14", + "to_node": "node_15", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_16", + "to_node": "node_17", + "edge_type": "modification", + "reasoning": "Increase 12 thickness by 24%", + "metadata": null, + "grammar_action": "SCALE_PARAM(12, thickness, 1.244)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_17", + "to_node": "node_18", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 28%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_18", + "to_node": "node_19", + "edge_type": "modification", + "reasoning": "Add member connecting joints 2 and 5", + "metadata": null, + "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005234)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_19", + "to_node": "node_20", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 30%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_20", + "to_node": "node_21", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_22", + "to_node": "node_23", + "edge_type": "modification", + "reasoning": "Increase 12 thickness by 33%", + "metadata": null, + "grammar_action": "SCALE_PARAM(12, thickness, 1.326)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_23", + "to_node": "node_24", + "edge_type": "modification", + "reasoning": "Increase 12 thickness by 21%", + "metadata": null, + "grammar_action": "SCALE_PARAM(12, thickness, 1.206)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_24", + "to_node": "node_25", + "edge_type": "modification", + "reasoning": "Add member connecting joints 2 and 5", + "metadata": null, + "grammar_action": "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": 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"modification", + "reasoning": "Increase all_members thickness by 16%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_3519", + "to_node": "node_3520", + "edge_type": "modification", + "reasoning": "Increase 5 thickness by 18%", + "metadata": null, + "grammar_action": "SCALE_PARAM(5, thickness, 1.183)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_3520", + "to_node": "node_3521", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + } + ] +} \ No newline at end of file