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Geometric nonlinearity — Snap Truss

Static (geometric NL)PASS · 0.04%

Large-displacement and large-rotation equilibrium-path verification. Checks: limit point snap-through and negative tangent.

Tolerance:
5%
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Problem statement

Geometry
Symmetric half-model shallow truss: E=500000 N/mm2, A=100 mm2, H=25 mm, L=2500 mm; vertical displacement control at the apex.
Material
Constitutive or analytical definition: Use the published shallow-strut cubic P(u); verify dP/du=0 at the limit point.
Boundary conditions
Required solver capability: corotational_or_total_lagrangian_truss. Use the loading/path control stated in the setup and preserve the complete response history.
Measured quantity
First limit point u=10.57 mm and Pcr=9.6225 N; reproduce the positive and negative branches through the horizontal configuration.

WebCAE Terminal

Paste these commands into the Terminal panel inside WebCAE. They use the same text DSL as the application; run one command per line:

units mm
frame up=z
material E=500000 nu=0.3
frame node at=0,0,0
frame node at=2500,0,25
frame member 1 2 section=rect w=10 h=10
frame support node=1 dofs="all"
frame support node=2 dofs="ux,uy,rx,ry,rz"
frame load node=2 force=0,0,-15
frame solve static nlgeom=on method=arc steps=40 maxiter=40 tol=1e-6

Results comparison

Reference valueu=10.57 mm, Pcr=9.6225 N
Our resultu=10.57 mm, Pcr=9.6225 N
Deviation0.04%
Tolerance5%
StatusPASS · 0.04%
Element familyBeam element
Mesh detailsсимметричная полумодель фермы Мизеса L=2500 мм, H=25 мм, A=100 мм²; Crisfield arc-length webcae_solve

Updated: 2026-10-19 · WebCAE solver

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