Files
OneCAD-Simulation/tests/oracle/buckle-plate-square/README.md
T
jyvikoandClaude Opus 5.5 788edbbddd verification: Euler columns and Bryan's plate in buckling steps
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
2026-10-14 13:30:59 -04:00

679 B
Raw Blame History

Buckling of a simply supported square plate in uniaxial compression

A 50 × 50 × 0.5 plate (b/t = 100), E = 1000, ν = 0.3, modelled as its quarter (10 × 10 × 2 hex20) with symmetry planes. The outer edges are held out of plane along their bottom edge lines, which leaves their rotation and the plate's Poisson thickening free (simply supported), and they are free in plane; one is pressed by a unit pressure. Reference: Bryan's k = 4.

Choices: holding the whole edge faces instead blocks the thickening there and lowers the load by 2 % at ν = 0.3; at b/t = 50 the solid stays 1.5 % below thin-plate theory with either support, the difference falling as the plate thins.