plate_check
Calculate bending stress and deflection for uniformly loaded flat plates using handbook formulas. Determine if finite element analysis is required.
Instructions
Handbook bending of a uniformly loaded flat plate (NO solver) — the
"do I need FEM at all?" screen. shape: 'rectangular' (a_mm × b_mm, short side
drives; Roark/Timoshenko ν=0.3 coefficients σ=β·q·b²/t², δ=α·q·b⁴/(E·t³),
interpolated in a/b) | 'circular' (diameter_mm; exact closed forms).
support: 'simply_supported' | 'clamped' (all edges). E from youngs_gpa or a
Materials-DB material (which also supplies yield for yield_safety_factor).
Exact within thin-plate theory, and the limits are returned as flags
(thin_plate_ok: span/t ≥ 10; small_deflection_ok: δ ≤ t/2) — a tripped flag
means escalate to the CCX fem_* pipeline (escalate_to='fem_run').
Returns {shape, support, aspect_ratio, beta, alpha, sigma_max_mpa, deflection_max_mm, yield_safety_factor, thin_plate_ok, small_deflection_ok, fidelity, band_pct, valid_range_ok, warnings, escalate_to}.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| a_mm | No | ||
| b_mm | No | ||
| shape | Yes | ||
| poisson | No | ||
| support | No | simply_supported | |
| material | No | ||
| youngs_gpa | No | ||
| diameter_mm | No | ||
| pressure_kpa | Yes | ||
| thickness_mm | Yes |