fsi_plate_deflection
Calculate exact small-deflection tip or centre deflection, root moment, reaction, and stress for uniform-pressure-loaded cantilever or clamped-clamped thin plate strips without running a solver.
Instructions
Exact small-deflection tip/centre deflection of a uniform-pressure-loaded
thin plate strip (NO solver) — the closed-form twin the coupled
OpenFOAM→CalculiX FSI solve (fsi_pressure_plate_submit) is gated against. The
wetted strip is width_mm×length_mm; the fluid pressure pressure_pa (Pa)
acts normal to it, giving the line load q = pressure·width. Section is the
solid rectangle I = width·thickness³/12 unless an explicit i_mm4 is given. E
from youngs_gpa or a Materials-DB material. support='cantilever' (clamped
one edge): δ_tip = q·L⁴/(8·E·I), root moment q·L²/2, reaction q·L; 'clamped-
clamped': centre δ = q·L⁴/(384·E·I), reaction q·L/2 each. Valid while δ ≲
thickness (small-deflection); past that escalate to an NLGEOM follower-pressure
ccx solve.
Returns {support, pressure_pa, line_load_n_per_mm, total_load_n, I_mm4, tip_disp_mm, root_moment_nmm, reaction_n, max_stress_mpa, youngs_mpa, slenderness, fidelity, band_pct, valid_range_ok, warnings, escalate_to}.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| i_mm4 | No | ||
| support | No | cantilever | |
| material | No | ||
| width_mm | Yes | ||
| length_mm | Yes | ||
| youngs_gpa | No | ||
| pressure_pa | Yes | ||
| thickness_mm | Yes |