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
11 lines
679 B
Markdown
11 lines
679 B
Markdown
# Buckling of a simply supported square plate in uniaxial compression
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A 50 × 50 × 0.5 plate (b/t = 100), E = 1000, ν = 0.3, modelled as its quarter (10 × 10 × 2 hex20)
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with symmetry planes. The outer edges are held out of plane along their bottom edge lines, which
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leaves their rotation and the plate's Poisson thickening free (simply supported), and they are
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free in plane; one is pressed by a unit pressure. Reference: Bryan's k = 4.
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Choices: holding the whole edge faces instead blocks the thickening there and lowers the load by
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2 % at ν = 0.3; at b/t = 50 the solid stays 1.5 % below thin-plate theory with either support,
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the difference falling as the plate thins.
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