{ "schemaVersion": 1, "generatedAt": "2026-07-26T14:12:08.482Z", "suite": { "id": "optimal-beam-priority-analytical", "title": "Optimal Beam priority analytical verification", "description": "Closed-form P0 checks for axial response, flexural response, member releases, coordinate transformations, equilibrium, and reported extrema.", "defaultAbsoluteTolerance": 1e-8, "defaultRelativeTolerance": 1e-8, "equilibriumResidualLimit": 1e-10 }, "sourceFixture": "tests/fixtures/structural-verification/priority-analytical.json", "runtime": { "node": "v23.3.0", "platform": "darwin", "architecture": "arm64" }, "application": { "gitCommit": "684001e3ad153e748f96368762c8bdcbd0ee62d6", "workingTreeDirty": true, "solverPath": "js/frame-truss-solver.js", "solverSha256": "7cb2472d5ee0864d1b5c5b0db4fbbc8413c8fa13185c784403fb8591c3ebb89c" }, "summary": { "status": "passed", "totalCases": 12, "passedCases": 12, "failedCases": 0, "totalChecks": 87, "passedChecks": 87, "failedChecks": 0 }, "cases": [ { "id": "OB-V-BAR-001", "title": "Horizontal axial bar with end force", "family": "bar", "priority": "P0", "features": [ "axial stiffness", "nodal force", "reaction", "axial displacement" ], "reference": { "type": "closed-form", "description": "Uniform prismatic bar fixed at one end and loaded axially at the other.", "equations": [ "R_x = -P", "delta = P L / (E A)", "N = P" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "fixed" }, { "id": 2, "x": 3, "y": 0, "support": "free" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "nodal", "nodeId": 2, "fx": 100, "fy": 0, "mz": 0 } ] }, "checks": [ { "label": "node[1].rx", "target": "node", "id": 1, "field": "rx", "operator": "close", "unit": "kN", "expected": -100, "actual": -100, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 0.0000010099999999999999, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "node[2].ux", "target": "node", "id": 2, "field": "ux", "operator": "close", "unit": "mm", "expected": 0.3, "actual": 0.30000000000000004, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.3e-8, "difference": 5.551115123125783e-17, "relativeDifference": 1.8503717077085943e-16, "toleranceReason": null }, { "label": "member[1].peakAxial", "target": "member", "id": 1, "field": "peakAxial", "operator": "close", "unit": "kN", "expected": 100, "actual": 100, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 0.0000010099999999999999, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 0, "actual": 0, "status": "passed", "absoluteTolerance": 1e-9, "relativeTolerance": 1e-8, "allowedDifference": 1e-9, "difference": 0, "relativeDifference": null, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 0, "status": "passed", "difference": -1e-10 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 3.9999999999999982, "relativeResidual": 0, "warnings": [] }, "durationMs": 2.587209 }, { "id": "OB-V-BEAM-001", "title": "Cantilever with transverse tip force", "family": "beam", "priority": "P0", "features": [ "flexural stiffness", "nodal force", "reaction", "tip displacement", "peak moment" ], "reference": { "type": "closed-form", "description": "Prismatic cantilever with a vertical point force at the free end.", "equations": [ "R_y = P", "M_root = P L", "delta_tip = P L^3 / (3 E I)" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "fixed" }, { "id": 2, "x": 4, "y": 0, "support": "free" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "nodal", "nodeId": 2, "fx": 0, "fy": -10, "mz": 0 } ] }, "checks": [ { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 10, "actual": 9.999999999999993, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.0999999999999999e-7, "difference": -7.105427357601002e-15, "relativeDifference": 7.105427357601002e-16, "toleranceReason": null }, { "label": "node[1].rm", "target": "node", "id": 1, "field": "rm", "operator": "close", "unit": "kN m", "expected": 40, "actual": 39.999999999999964, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4.1e-7, "difference": -3.552713678800501e-14, "relativeDifference": 8.881784197001252e-16, "toleranceReason": null }, { "label": "node[2].uy", "target": "node", "id": 2, "field": "uy", "operator": "close", "unit": "mm", "expected": -5.333333333333333, "actual": -5.33333333333333, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 6.333333333333333e-8, "difference": 2.6645352591003757e-15, "relativeDifference": 4.996003610813204e-16, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 40, "actual": 39.999999999999964, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4.1e-7, "difference": -3.552713678800501e-14, "relativeDifference": 8.881784197001252e-16, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 4.547473508864643e-16, "status": "passed", "difference": -9.999954525264912e-11 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 3.999999999999999, "relativeResidual": 4.547473508864643e-16, "warnings": [] }, "durationMs": 0.850958 }, { "id": "OB-V-BEAM-002", "title": "Cantilever with applied tip moment", "family": "beam", "priority": "P0", "features": [ "nodal moment", "rotation", "curvature", "constant moment" ], "reference": { "type": "closed-form", "description": "Prismatic cantilever with a positive moment applied at the free end.", "equations": [ "M_root = -M", "theta_tip = M L / (E I)", "delta_tip = M L^2 / (2 E I)" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "fixed" }, { "id": 2, "x": 4, "y": 0, "support": "free" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "nodal", "nodeId": 2, "fx": 0, "fy": 0, "mz": 10 } ] }, "checks": [ { "label": "node[1].rm", "target": "node", "id": 1, "field": "rm", "operator": "close", "unit": "kN m", "expected": -10, "actual": -9.99999999999999, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.0999999999999999e-7, "difference": 1.0658141036401503e-14, "relativeDifference": 1.0658141036401502e-15, "toleranceReason": null }, { "label": "node[2].uy", "target": "node", "id": 2, "field": "uy", "operator": "close", "unit": "mm", "expected": 2, "actual": 1.9999999999999987, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.0000000000000004e-8, "difference": -1.3322676295501878e-15, "relativeDifference": 6.661338147750939e-16, "toleranceReason": null }, { "label": "node[2].rz", "target": "node", "id": 2, "field": "rz", "operator": "close", "unit": "rad", "expected": 0.001, "actual": 0.0009999999999999994, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.001e-8, "difference": -6.505213034913027e-19, "relativeDifference": 6.505213034913027e-16, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 10, "actual": 10, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.0999999999999999e-7, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakShear", "target": "member", "id": 1, "field": "peakShear", "operator": "close", "unit": "kN", "expected": 0, "actual": 0, "status": "passed", "absoluteTolerance": 1e-9, "relativeTolerance": 1e-8, "allowedDifference": 1e-9, "difference": 0, "relativeDifference": null, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 5.456968210637573e-16, "status": "passed", "difference": -9.999945430317893e-11 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 3.999999999999999, "relativeResidual": 5.456968210637573e-16, "warnings": [] }, "durationMs": 0.658416 }, { "id": "OB-V-BEAM-003", "title": "Simply supported beam with full uniform load", "family": "beam", "priority": "P0", "features": [ "distributed load", "released rotations", "reactions", "shear", "moment", "member displacement" ], "reference": { "type": "closed-form", "description": "Six metre simply supported prismatic beam with a ten kilonewton-per-metre uniform load.", "equations": [ "R_A = R_B = w L / 2", "V_max = w L / 2", "M_max = w L^2 / 8", "delta_max = 5 w L^4 / (384 E I)" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "pin" }, { "id": 2, "x": 6, "y": 0, "support": "rollerY" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "member-distributed", "memberId": 1, "start": 0, "end": 6, "qStart": -10, "qEnd": -10, "direction": "local-y" } ] }, "checks": [ { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 30, "actual": 30, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.1e-7, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "node[2].ry", "target": "node", "id": 2, "field": "ry", "operator": "close", "unit": "kN", "expected": 30, "actual": 29.999999999999996, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.1e-7, "difference": -3.552713678800501e-15, "relativeDifference": 1.1842378929335003e-16, "toleranceReason": null }, { "label": "member[1].peakShear", "target": "member", "id": 1, "field": "peakShear", "operator": "close", "unit": "kN", "expected": 30, "actual": 30, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.1e-7, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 45, "actual": 44.999999999999986, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4.6000000000000004e-7, "difference": -1.4210854715202004e-14, "relativeDifference": 3.1579677144893343e-16, "toleranceReason": null }, { "label": "metric.maxDisplacement", "target": "metric", "id": null, "field": "maxDisplacement", "operator": "close", "unit": "mm", "expected": 4.21875, "actual": 4.21875, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 5.21875e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].momentI", "target": "member", "id": 1, "field": "momentI", "operator": "close", "unit": "kN m", "expected": 0, "actual": 1.0913936421275139e-14, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1e-8, "difference": 1.0913936421275139e-14, "relativeDifference": null, "toleranceReason": null }, { "label": "member[1].momentJ", "target": "member", "id": 1, "field": "momentJ", "operator": "close", "unit": "kN m", "expected": 0, "actual": 1.0913936421275139e-14, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1e-8, "difference": 1.0913936421275139e-14, "relativeDifference": null, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 3.637978807091713e-16, "status": "passed", "difference": -9.99996362021193e-11 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 1.3333333333333333, "relativeResidual": 3.637978807091713e-16, "warnings": [] }, "durationMs": 1.539333 }, { "id": "OB-V-BEAM-004", "title": "Fixed-pinned beam with full uniform load", "family": "beam", "priority": "P0", "features": [ "one-end release", "release condensation", "reaction distribution", "end moment" ], "reference": { "type": "closed-form", "description": "Six metre prismatic member fixed at the start and rotationally released at the restrained finish.", "equations": [ "R_A = 5 w L / 8", "R_B = 3 w L / 8", "|M_A| = w L^2 / 8", "M_B = 0" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "fixed" }, { "id": 2, "x": 6, "y": 0, "support": "fixed" } ], "members": [ { "id": 1, "start": 1, "end": 2, "releases": { "startRz": false, "endRz": true } } ], "loads": [ { "id": "L1", "type": "member-distributed", "memberId": 1, "start": 0, "end": 6, "qStart": -10, "qEnd": -10, "direction": "local-y" } ] }, "checks": [ { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 37.5, "actual": 37.49999999999999, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.85e-7, "difference": -7.105427357601002e-15, "relativeDifference": 1.8947806286936006e-16, "toleranceReason": null }, { "label": "node[2].ry", "target": "node", "id": 2, "field": "ry", "operator": "close", "unit": "kN", "expected": 22.5, "actual": 22.5, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 2.3500000000000003e-7, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].momentI", "target": "member", "id": 1, "field": "momentI", "operator": "close", "unit": "kN m", "expected": 45, "actual": 45, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4.6000000000000004e-7, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].momentJ", "target": "member", "id": 1, "field": "momentJ", "operator": "close", "unit": "kN m", "expected": 0, "actual": 0, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1e-8, "difference": 0, "relativeDifference": null, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 0, "status": "passed", "difference": -1e-10 } ], "status": "passed", "diagnostics": { "stability": "fully-restrained", "conditionEstimate": 1, "relativeResidual": 0, "warnings": [] }, "durationMs": 1.631167 }, { "id": "OB-V-XFORM-001", "title": "Inclined simply supported member with global point load", "family": "coordinate-transformation", "priority": "P0", "features": [ "inclined member", "global member load", "local force transformation", "reaction transformation" ], "reference": { "type": "closed-form", "description": "Three-four-five inclined member with a ten kilonewton global vertical point load at midspan.", "equations": [ "R_Ay = R_By = P / 2", "P_local,x = -P sin(theta) = -8 kN", "P_local,y = -P cos(theta) = -6 kN", "|N|max = 4 kN", "|V|max = 3 kN", "M_max = P_local,y L / 4 = 7.5 kN m" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "pin" }, { "id": 2, "x": 3, "y": 4, "support": "rollerY" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "member-point", "memberId": 1, "position": 2.5, "fx": 0, "fy": -10, "coordinateSystem": "global" } ] }, "checks": [ { "label": "node[1].rx", "target": "node", "id": 1, "field": "rx", "operator": "close", "unit": "kN", "expected": 0, "actual": 0, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1e-8, "difference": 0, "relativeDifference": null, "toleranceReason": null }, { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 5, "actual": 5, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 6e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "node[2].ry", "target": "node", "id": 2, "field": "ry", "operator": "close", "unit": "kN", "expected": 5, "actual": 5, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 6e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakAxial", "target": "member", "id": 1, "field": "peakAxial", "operator": "close", "unit": "kN", "expected": 4, "actual": 4, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 5e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakShear", "target": "member", "id": 1, "field": "peakShear", "operator": "close", "unit": "kN", "expected": 3, "actual": 3, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 7.5, "actual": 7.500000000000001, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 8.5e-8, "difference": 8.881784197001252e-16, "relativeDifference": 1.1842378929335003e-16, "toleranceReason": null }, { "label": "member[1].momentI", "target": "member", "id": 1, "field": "momentI", "operator": "close", "unit": "kN m", "expected": 0, "actual": -9.094947017729283e-16, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1e-8, "difference": -9.094947017729283e-16, "relativeDifference": null, "toleranceReason": null }, { "label": "member[1].momentJ", "target": "member", "id": 1, "field": "momentJ", "operator": "close", "unit": "kN m", "expected": 0, "actual": 9.094947017729283e-16, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1e-8, "difference": 9.094947017729283e-16, "relativeDifference": null, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 1.8189894035458566e-16, "status": "passed", "difference": -9.999981810105964e-11 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 1.3447111111111112, "relativeResidual": 1.8189894035458566e-16, "warnings": [] }, "durationMs": 1.004334 }, { "id": "OB-V-BEAM-005", "title": "Simply supported beam with triangular distributed load", "family": "beam", "priority": "P0", "features": [ "linearly varying load", "asymmetric reactions", "off-grid critical moment", "critical-station recovery" ], "reference": { "type": "closed-form", "description": "Six metre simply supported beam with a triangular load increasing from zero to twelve kilonewtons per metre.", "equations": [ "R_A = w_max L / 6 = 12 kN", "R_B = w_max L / 3 = 24 kN", "V(x) = 12 - x^2", "x_Mmax = sqrt(12) = 3.464101615 m", "M_max = 16 sqrt(3) = 27.712812921 kN m" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "pin" }, { "id": 2, "x": 6, "y": 0, "support": "rollerY" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "member-distributed", "memberId": 1, "start": 0, "end": 6, "qStart": 0, "qEnd": -12, "direction": "local-y" } ] }, "checks": [ { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 12, "actual": 11.999999999999993, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.3000000000000003e-7, "difference": -7.105427357601002e-15, "relativeDifference": 5.921189464667501e-16, "toleranceReason": null }, { "label": "node[2].ry", "target": "node", "id": 2, "field": "ry", "operator": "close", "unit": "kN", "expected": 24, "actual": 24.000000000000007, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 2.5000000000000004e-7, "difference": 7.105427357601002e-15, "relativeDifference": 2.9605947323337506e-16, "toleranceReason": null }, { "label": "member[1].peakShear", "target": "member", "id": 1, "field": "peakShear", "operator": "close", "unit": "kN", "expected": 24, "actual": 24.000000000000007, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 2.5000000000000004e-7, "difference": 7.105427357601002e-15, "relativeDifference": 2.9605947323337506e-16, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 27.712812921102035, "actual": 27.71281292110202, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 2.8712812921102036e-7, "difference": -1.4210854715202004e-14, "relativeDifference": 5.127900497022838e-16, "toleranceReason": null }, { "label": "member[1].peakMomentAt", "target": "member", "id": 1, "field": "peakMomentAt", "operator": "close", "unit": "m", "expected": 3.4641016151377544, "actual": 3.464101615139901, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4.464101615137755e-8, "difference": 2.1467272404152027e-12, "relativeDifference": 6.197067750652099e-13, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 2.165463575649829e-16, "status": "passed", "difference": -9.999978345364244e-11 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 1.3333333333333333, "relativeResidual": 2.165463575649829e-16, "warnings": [] }, "durationMs": 1.366834 }, { "id": "OB-V-BEAM-006", "title": "Simply supported beam with off-centre point load", "family": "beam", "priority": "P0", "features": [ "member point load", "asymmetric reactions", "point-load moment", "off-grid displacement maximum" ], "reference": { "type": "closed-form", "description": "Six metre simply supported beam with a ten kilonewton point load two metres from the left support.", "equations": [ "R_A = P b / L = 6.666666667 kN", "R_B = P a / L = 3.333333333 kN", "M_max = P a b / L = 13.333333333 kN m", "x_delta,max = L - sqrt((L^2 - a^2) / 3) = 2.734013676 m", "delta_max = 0.967699651 mm" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "pin" }, { "id": 2, "x": 6, "y": 0, "support": "rollerY" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "member-point", "memberId": 1, "position": 2, "fx": 0, "fy": -10, "coordinateSystem": "local" } ] }, "checks": [ { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 6.666666666666667, "actual": 6.666666666666667, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 7.666666666666666e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "node[2].ry", "target": "node", "id": 2, "field": "ry", "operator": "close", "unit": "kN", "expected": 3.3333333333333335, "actual": 3.3333333333333335, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4.333333333333334e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 13.333333333333334, "actual": 13.333333333333336, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.4333333333333335e-7, "difference": 1.7763568394002505e-15, "relativeDifference": 1.3322676295501878e-16, "toleranceReason": null }, { "label": "member[1].peakMomentAt", "target": "member", "id": 1, "field": "peakMomentAt", "operator": "close", "unit": "m", "expected": 2, "actual": 2, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.0000000000000004e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].maxDisplacement", "target": "member", "id": 1, "field": "maxDisplacement", "operator": "close", "unit": "mm", "expected": 0.9676996514698977, "actual": 0.9676996514698972, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.9676996514698978e-8, "difference": -4.440892098500626e-16, "relativeDifference": 4.589122349847999e-16, "toleranceReason": null }, { "label": "member[1].maxDisplacementAt", "target": "member", "id": 1, "field": "maxDisplacementAt", "operator": "close", "unit": "m", "expected": 2.734013676289096, "actual": 2.7340136762882956, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.734013676289096e-8, "difference": -8.002487561498128e-13, "relativeDifference": 2.9270108013358534e-13, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 2.0463630789890885e-16, "status": "passed", "difference": -9.99997953636921e-11 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 1.3333333333333333, "relativeResidual": 2.0463630789890885e-16, "warnings": [] }, "durationMs": 0.54125 }, { "id": "OB-V-BEAM-007", "title": "Simply supported beam with partial uniform load", "family": "beam", "priority": "P0", "features": [ "partial distributed load", "load boundaries", "off-grid critical moment" ], "reference": { "type": "closed-form", "description": "Six metre simply supported beam with an eight kilonewton-per-metre load from x = 1 m to x = 4 m.", "equations": [ "W = 24 kN at x = 2.5 m", "R_A = 14 kN", "R_B = 10 kN", "V(x) = 14 - 8(x - 1) within the loaded interval", "x_Mmax = 2.75 m", "M_max = 26.25 kN m" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "pin" }, { "id": 2, "x": 6, "y": 0, "support": "rollerY" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "member-distributed", "memberId": 1, "start": 1, "end": 4, "qStart": -8, "qEnd": -8, "direction": "local-y" } ] }, "checks": [ { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 14, "actual": 13.999999999999998, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.5000000000000002e-7, "difference": -1.7763568394002505e-15, "relativeDifference": 1.2688263138573217e-16, "toleranceReason": null }, { "label": "node[2].ry", "target": "node", "id": 2, "field": "ry", "operator": "close", "unit": "kN", "expected": 10, "actual": 10, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.0999999999999999e-7, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakShear", "target": "member", "id": 1, "field": "peakShear", "operator": "close", "unit": "kN", "expected": 14, "actual": 13.999999999999998, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.5000000000000002e-7, "difference": -1.7763568394002505e-15, "relativeDifference": 1.2688263138573217e-16, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 26.25, "actual": 26.25, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 2.7250000000000004e-7, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakMomentAt", "target": "member", "id": 1, "field": "peakMomentAt", "operator": "close", "unit": "m", "expected": 2.75, "actual": 2.7500000000000444, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.75e-8, "difference": 4.440892098500626e-14, "relativeDifference": 1.6148698540002278e-14, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 1.0012785707591872e-16, "status": "passed", "difference": -9.999989987214292e-11 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 1.3333333333333333, "relativeResidual": 1.0012785707591872e-16, "warnings": [] }, "durationMs": 1.790375 }, { "id": "OB-V-BEAM-008", "title": "Fixed-fixed beam with full uniform load", "family": "beam", "priority": "P0", "features": [ "fully restrained system", "fixed-end forces", "member displacement recovery" ], "reference": { "type": "closed-form", "description": "Six metre fixed-fixed prismatic beam with a ten kilonewton-per-metre uniform load.", "equations": [ "R_A = R_B = w L / 2 = 30 kN", "|M_A| = |M_B| = w L^2 / 12 = 30 kN m", "delta_max = w L^4 / (384 E I) = 0.84375 mm" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "fixed" }, { "id": 2, "x": 6, "y": 0, "support": "fixed" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "member-distributed", "memberId": 1, "start": 0, "end": 6, "qStart": -10, "qEnd": -10, "direction": "local-y" } ] }, "checks": [ { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 30, "actual": 29.999999999999996, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.1e-7, "difference": -3.552713678800501e-15, "relativeDifference": 1.1842378929335003e-16, "toleranceReason": null }, { "label": "node[2].ry", "target": "node", "id": 2, "field": "ry", "operator": "close", "unit": "kN", "expected": 30, "actual": 30, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.1e-7, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "node[1].rm", "target": "node", "id": 1, "field": "rm", "operator": "close", "unit": "kN m", "expected": 30, "actual": 29.999999999999996, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.1e-7, "difference": -3.552713678800501e-15, "relativeDifference": 1.1842378929335003e-16, "toleranceReason": null }, { "label": "node[2].rm", "target": "node", "id": 2, "field": "rm", "operator": "close", "unit": "kN m", "expected": -30, "actual": -29.999999999999996, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.1e-7, "difference": 3.552713678800501e-15, "relativeDifference": 1.1842378929335003e-16, "toleranceReason": null }, { "label": "member[1].maxDisplacement", "target": "member", "id": 1, "field": "maxDisplacement", "operator": "close", "unit": "mm", "expected": 0.84375, "actual": 0.84375, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.8437500000000002e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].maxDisplacementAt", "target": "member", "id": 1, "field": "maxDisplacementAt", "operator": "close", "unit": "m", "expected": 3, "actual": 3, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 30, "actual": 30.00000000000003, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.1e-7, "difference": 2.842170943040401e-14, "relativeDifference": 9.473903143468002e-16, "toleranceReason": null }, { "label": "diagnostics.stability", "target": "diagnostics", "id": null, "field": "stability", "operator": "equal", "unit": null, "expected": "fully-restrained", "actual": "fully-restrained", "status": "passed" }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 0, "status": "passed", "difference": -1e-10 } ], "status": "passed", "diagnostics": { "stability": "fully-restrained", "conditionEstimate": 1, "relativeResidual": 0, "warnings": [] }, "durationMs": 1.141875 }, { "id": "OB-V-BEAM-009", "title": "Cantilever with full uniform load", "family": "beam", "priority": "P0", "features": [ "distributed load", "cantilever reaction", "tip rotation", "tip displacement" ], "reference": { "type": "closed-form", "description": "Four metre prismatic cantilever with a ten kilonewton-per-metre uniform load.", "equations": [ "R_y = w L = 40 kN", "M_root = w L^2 / 2 = 80 kN m", "theta_tip = -w L^3 / (6 E I) = -0.002666666667 rad", "delta_tip = -w L^4 / (8 E I) = -8 mm" ] }, "model": { "mode": "frame", "material": { "E": 200 }, "section": { "A": 5000, "I": 200000000 }, "nodes": [ { "id": 1, "x": 0, "y": 0, "support": "fixed" }, { "id": 2, "x": 4, "y": 0, "support": "free" } ], "members": [ { "id": 1, "start": 1, "end": 2 } ], "loads": [ { "id": "L1", "type": "member-distributed", "memberId": 1, "start": 0, "end": 4, "qStart": -10, "qEnd": -10, "direction": "local-y" } ] }, "checks": [ { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 40, "actual": 39.99999999999999, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4.1e-7, "difference": -7.105427357601002e-15, "relativeDifference": 1.7763568394002506e-16, "toleranceReason": null }, { "label": "node[1].rm", "target": "node", "id": 1, "field": "rm", "operator": "close", "unit": "kN m", "expected": 80, "actual": 79.99999999999996, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 8.1e-7, "difference": -4.263256414560601e-14, "relativeDifference": 5.329070518200751e-16, "toleranceReason": null }, { "label": "node[2].uy", "target": "node", "id": 2, "field": "uy", "operator": "close", "unit": "mm", "expected": -8, "actual": -7.999999999999995, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 9e-8, "difference": 5.329070518200751e-15, "relativeDifference": 6.661338147750939e-16, "toleranceReason": null }, { "label": "node[2].rz", "target": "node", "id": 2, "field": "rz", "operator": "close", "unit": "rad", "expected": -0.0026666666666666666, "actual": -0.0026666666666666644, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.0026666666666667e-8, "difference": 2.168404344971009e-18, "relativeDifference": 8.131516293641283e-16, "toleranceReason": null }, { "label": "member[1].maxDisplacement", "target": "member", "id": 1, "field": "maxDisplacement", "operator": "close", "unit": "mm", "expected": 8, "actual": 7.999999999999993, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 9e-8, "difference": -7.105427357601002e-15, "relativeDifference": 8.881784197001252e-16, "toleranceReason": null }, { "label": "member[1].maxDisplacementAt", "target": "member", "id": 1, "field": "maxDisplacementAt", "operator": "close", "unit": "m", "expected": 4, "actual": 4, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 5e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[1].peakShear", "target": "member", "id": 1, "field": "peakShear", "operator": "close", "unit": "kN", "expected": 40, "actual": 39.99999999999999, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 4.1e-7, "difference": -7.105427357601002e-15, "relativeDifference": 1.7763568394002506e-16, "toleranceReason": null }, { "label": "member[1].peakMoment", "target": "member", "id": 1, "field": "peakMoment", "operator": "close", "unit": "kN m", "expected": 80, "actual": 79.99999999999996, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 8.1e-7, "difference": -4.263256414560601e-14, "relativeDifference": 5.329070518200751e-16, "toleranceReason": null }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 2.338700661701816e-16, "status": "passed", "difference": -9.999976612993384e-11 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 3.999999999999999, "relativeResidual": 2.338700661701816e-16, "warnings": [] }, "durationMs": 0.902 }, { "id": "OB-V-TRUSS-001", "title": "Four-panel Pratt truss under symmetric joint loading", "family": "truss", "priority": "P0", "features": [ "axial-only members", "support reactions", "zero-force members", "member force", "nodal displacement" ], "reference": { "type": "hand-calculation", "description": "Statically determinate four-panel Pratt truss checked by whole-structure equilibrium, the method of joints, the method of sections and the unit-load method.", "equations": [ "m + r = 2j: 13 + 3 = 2(8)", "R_Ay = R_By = 3(16) / 2 = 24 kN", "M7 = -24 / sin(45 degrees) = -33.941125497 kN", "M9 = (24 - 16) / sin(45 degrees) = 11.313708499 kN", "delta_N7 = sum(N_i n_i L_i / EA) = 0.655529004 mm downward" ] }, "model": { "version": 10, "name": "Four-panel Pratt truss", "mode": "pin-ended", "defaultMemberBehavior": "pin-ended", "units": "metric", "workspace": { "grid": 0.5, "showGrid": true }, "material": { "E": 200 }, "materials": [ { "id": "MAT1", "name": "Structural steel", "type": "standard", "E": 200, "density": 7850, "source": { "key": "structural-steel", "note": "Typical carbon steel" } } ], "defaultMaterialId": "MAT1", "section": { "A": 5000, "I": 200000000 }, "sections": [ { "id": "S1", "name": "Uniform truss member", "type": "custom", "A": 5000, "I": 200000000, "source": null } ], "defaultSectionId": "S1", "nodes": [ { "id": 1, "label": "N1", "x": 0, "y": 0, "support": "pin", "restraints": { "ux": true, "uy": true, "rz": false } }, { "id": 2, "label": "N2", "x": 3, "y": 0, "support": "free", "restraints": { "ux": false, "uy": false, "rz": false } }, { "id": 3, "label": "N3", "x": 6, "y": 0, "support": "free", "restraints": { "ux": false, "uy": false, "rz": false } }, { "id": 4, "label": "N4", "x": 9, "y": 0, "support": "free", "restraints": { "ux": false, "uy": false, "rz": false } }, { "id": 5, "label": "N5", "x": 12, "y": 0, "support": "rollerY", "restraints": { "ux": false, "uy": true, "rz": false } }, { "id": 6, "label": "N6", "x": 3, "y": 3, "support": "free", "restraints": { "ux": false, "uy": false, "rz": false } }, { "id": 7, "label": "N7", "x": 6, "y": 3, "support": "free", "restraints": { "ux": false, "uy": false, "rz": false } }, { "id": 8, "label": "N8", "x": 9, "y": 3, "support": "free", "restraints": { "ux": false, "uy": false, "rz": false } } ], "members": [ { "id": 1, "label": "M1", "start": 1, "end": 2, "behavior": "pin-ended" }, { "id": 2, "label": "M2", "start": 2, "end": 3, "behavior": "pin-ended" }, { "id": 3, "label": "M3", "start": 3, "end": 4, "behavior": "pin-ended" }, { "id": 4, "label": "M4", "start": 4, "end": 5, "behavior": "pin-ended" }, { "id": 5, "label": "M5", "start": 6, "end": 7, "behavior": "pin-ended" }, { "id": 6, "label": "M6", "start": 7, "end": 8, "behavior": "pin-ended" }, { "id": 7, "label": "M7", "start": 1, "end": 6, "behavior": "pin-ended" }, { "id": 8, "label": "M8", "start": 6, "end": 2, "behavior": "pin-ended" }, { "id": 9, "label": "M9", "start": 6, "end": 3, "behavior": "pin-ended" }, { "id": 10, "label": "M10", "start": 7, "end": 3, "behavior": "pin-ended" }, { "id": 11, "label": "M11", "start": 8, "end": 3, "behavior": "pin-ended" }, { "id": 12, "label": "M12", "start": 8, "end": 4, "behavior": "pin-ended" }, { "id": 13, "label": "M13", "start": 8, "end": 5, "behavior": "pin-ended" } ], "loads": [ { "id": "L1", "label": "L1", "type": "nodal", "nodeId": 6, "fx": 0, "fy": -16, "mz": 0 }, { "id": "L2", "label": "L2", "type": "nodal", "nodeId": 7, "fx": 0, "fy": -16, "mz": 0 }, { "id": "L3", "label": "L3", "type": "nodal", "nodeId": 8, "fx": 0, "fy": -16, "mz": 0 } ], "loadCases": [], "loadCombinations": [], "activeLoadCaseId": null, "analysisScenario": { "type": "all", "id": "all" }, "counters": { "node": 9, "member": 14, "load": 4, "loadCase": 1, "combination": 1, "material": 2, "section": 2 } }, "checks": [ { "label": "node[1].rx", "target": "node", "id": 1, "field": "rx", "operator": "close", "unit": "kN", "expected": 0, "actual": 2.9103830456733704e-14, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1e-8, "difference": 2.9103830456733704e-14, "relativeDifference": null, "toleranceReason": null }, { "label": "node[1].ry", "target": "node", "id": 1, "field": "ry", "operator": "close", "unit": "kN", "expected": 24, "actual": 24.00000000000002, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 2.5000000000000004e-7, "difference": 2.1316282072803006e-14, "relativeDifference": 8.881784197001252e-16, "toleranceReason": null }, { "label": "node[5].ry", "target": "node", "id": 5, "field": "ry", "operator": "close", "unit": "kN", "expected": 24, "actual": 24.000000000000007, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 2.5000000000000004e-7, "difference": 7.105427357601002e-15, "relativeDifference": 2.9605947323337506e-16, "toleranceReason": null }, { "label": "member[5].axial", "target": "member", "id": 5, "field": "axial", "operator": "close", "unit": "kN", "expected": -32, "actual": -32, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.3e-7, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "member[7].axial", "target": "member", "id": 7, "field": "axial", "operator": "close", "unit": "kN", "expected": -33.94112549695428, "actual": -33.94112549695432, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 3.494112549695428e-7, "difference": -4.263256414560601e-14, "relativeDifference": 1.2560739669470201e-15, "toleranceReason": null }, { "label": "member[8].axial", "target": "member", "id": 8, "field": "axial", "operator": "close", "unit": "kN", "expected": 0, "actual": 0, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1e-8, "difference": 0, "relativeDifference": null, "toleranceReason": null }, { "label": "member[9].axial", "target": "member", "id": 9, "field": "axial", "operator": "close", "unit": "kN", "expected": 11.313708498984761, "actual": 11.313708498984765, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.231370849898476e-7, "difference": 3.552713678800501e-15, "relativeDifference": 3.14018491736755e-16, "toleranceReason": null }, { "label": "member[12].axial", "target": "member", "id": 12, "field": "axial", "operator": "close", "unit": "kN", "expected": 0, "actual": 0, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1e-8, "difference": 0, "relativeDifference": null, "toleranceReason": null }, { "label": "node[7].uy", "target": "node", "id": 7, "field": "uy", "operator": "close", "unit": "mm", "expected": -0.6555290039756344, "actual": -0.6555290039756344, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.6555290039756343e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "metric.maxDisplacement", "target": "metric", "id": null, "field": "maxDisplacement", "operator": "close", "unit": "mm", "expected": 0.6711589044729179, "actual": 0.6711589044729179, "status": "passed", "absoluteTolerance": 1e-8, "relativeTolerance": 1e-8, "allowedDifference": 1.671158904472918e-8, "difference": 0, "relativeDifference": 0, "toleranceReason": null }, { "label": "diagnostics.stability", "target": "diagnostics", "id": null, "field": "stability", "operator": "equal", "unit": null, "expected": "stable", "actual": "stable", "status": "passed" }, { "label": "diagnostics.relativeResidual", "target": "diagnostics", "id": null, "field": "relativeResidual", "operator": "maximum", "unit": null, "expected": 1e-10, "actual": 2.9103830456733704e-11, "status": "passed", "difference": -7.08961695432663e-11 } ], "status": "passed", "diagnostics": { "stability": "stable", "conditionEstimate": 6.608757210636102, "relativeResidual": 2.9103830456733704e-11, "warnings": [] }, "durationMs": 3.304333 } ] }