Curved beam

StaticPASS · 1.44%

In-plane and out-of-plane response of a curved cantilever

Tolerance:: 5%

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Problem statement

Geometry: Quarter-circle curved beam, mean radius 4.22, depth 0.2, width 0.1 (consistent units).
Material: Linear-elastic isotropic material, E = 10×10⁶, ν = 0.25.
Boundary conditions: Clamped at one end; a unit force at the free end (in-plane and out-of-plane load cases).
Measured quantity: Tip displacement along the load direction for both load cases.

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 m
frame up=z
material E=1e7 nu=0.25
frame node at=4.22,0,0
frame node at=4.12,0.92,0
frame node at=3.82,1.79,0
frame node at=3.34,2.58,0
frame node at=2.71,3.23,0
frame node at=1.96,3.74,0
frame node at=1.09,4.08,0
frame node at=0.16,4.22,0
frame member 1 2 section=rect w=0.2 h=0.1
frame member 2 3 section=rect w=0.2 h=0.1
frame member 3 4 section=rect w=0.2 h=0.1
frame member 4 5 section=rect w=0.2 h=0.1
frame member 5 6 section=rect w=0.2 h=0.1
frame member 6 7 section=rect w=0.2 h=0.1
frame member 7 8 section=rect w=0.2 h=0.1
frame support node=1 dofs="all"
frame load node=8 force=0,0,1
frame solve static
frame probe disp node=8 comp=uz

Results comparison

Reference value	UY = 0.08734 (в плоскости), UZ = 0.5022 (из плоскости)
Our result	UY = 0.088597, UZ = 0.500421
Deviation	1.44%
Tolerance	5%
Status	PASS · 1.44%
Element family	Beam element
Mesh details	96 прямых элементов по дуге 90° (R=4.220000000000001, сечение 0.20000000000000018×0.1, Jt=4.5776e-5); предписанная MH сетка из 6 элементов даёт UY=0.087346, UZ=0.496746

Updated: 2026-10-19 · WebCAE solver