forked from 1b-agent/fieldcraft-upstream
jyvikoandClaude Opus 5.5
788edbbddd
buckle-euler-pinned and buckle-euler-cantilever (hex20 columns, −0.18 % from Euler with Engesser's shear correction) and buckle-plate-square (a simply supported square plate, b/t = 100, −0.39 % from k = 4; the support and thickness choices in its README). ROADMAP and parity updated, docs/oracle.md regenerated. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
20 lines
856 B
JSON
20 lines
856 B
JSON
{
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"title": "Euler buckling of a clamped–free column of solids",
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"kind": "theory",
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"source": "Euler's column with Engesser's shear correction P = P_e/(1 + P_e/(κ G A)), κ = 5/6 (S. P. Timoshenko, J. M. Gere, Theory of Elastic Stability, 2nd ed., McGraw-Hill 1961, §2.1, §2.17): square section 1 × 1, E = 1000, ν = 0, length 10 clamped–free, effective length 20, P_e = π² E I/20², so σ_cr = P/A = 2.046071",
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"quantities": [
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{
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"id": "lambda",
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"quantity": "first buckling stress (load factor of a unit end pressure)",
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"measure": {
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"from": "solve",
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"pointer": "/modes/0/load_factor"
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},
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"value": 2.046070629714299,
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"tolerance": {
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"relative": 0.005
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},
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"reason": "hex20, 2 × 2 across and 10 along: the 3D solid's bending and shear against beam theory, and the preload concentrated at the held face"
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}
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]
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} |