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 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
20 lines
859 B
JSON
20 lines
859 B
JSON
{
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"title": "Buckling of a simply supported square plate in uniaxial compression",
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"kind": "theory",
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"source": "Bryan's plate buckling stress σ_cr = k π² E/(12 (1 − ν²)) (t/b)² with k = 4 for a square plate simply supported on four edges (G. H. Bryan, Proc. London Math. Soc. 22:54–67, 1891; Timoshenko & Gere 1961, §9.2): b = 50, t = 0.5, E = 1000, ν = 0.3, σ_cr = 0.361524",
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"quantities": [
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{
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"id": "lambda",
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"quantity": "buckling stress of a unit edge 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": 0.36152397073587395,
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"tolerance": {
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"relative": 0.01
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},
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"reason": "a quarter plate of 10 × 10 × 2 hex20 (b/t = 100) supported on its bottom edge lines: the solid against thin-plate theory (−1.5 % at b/t = 50, falling with t/b) and the discretisation"
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}
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]
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} |