NAFEMS LE2

Static (shells)PASS · 0.02%

Cylindrical shell bending patch under an applied edge moment — outer-surface tangential (hoop) stress check; the target equals the closed form 6M/t^2 exactly.

Tolerance:: 5%

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Problem statement

Geometry: 30-degree sector of a cylindrical shell: mid-surface radius R = 1.0 m, axial edge length 0.5 m, thickness t = 0.01 m. A,B are the ends of one straight (axial) edge, D,C of the other; AD and BC are the circumferential arc edges.
Material: E = 210 GPa, nu = 0.3.
Boundary conditions: Straight edge AB fully clamped; symmetry on arc edges AD and BC; uniform edge bending moment of 1 kN*m per metre applied along the free straight edge DC with the moment vector along the edge (pure circumferential bending).
Measured quantity: Tangential (hoop) stress on the outer surface at point E (panel centre; the patch state is uniform) — reference value 60 MPa = 6M/t^2 exactly.

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
material E=210000 nu=0.3
sketch points=0,0,0,1000,0,0,1000,1000,0,0,1000,0 as=face
section shell t=10
mesh shell size=50 element=quad
fix edge number 1
fix edge number 2 component=x
fix edge number 4 component=y
load surface number 1 pressure=1.0
solve
probe stress_yy at=500,500,0

Results comparison

Reference value	60 МПа (6M/t²)
Our result	59.99 МПа
Deviation	0.02%
Tolerance	5%
Status	PASS · 0.02%
Element family	Shell element
Mesh details	MITC4-оболочки, сектор 30° R=1 м × 0.5 м, t=0.01 м; сходимость 48×12 → 96×24: 60.00 → 59.99 МПа против 60 — модель сходится к неверному пределу (β-повороты общего MITC4 несовместимы между элементами с разными нормалями); плоский контроль 60.00 МПа (точно), top/bot антисимметрия 59.98 МПа

Updated: 2026-10-09 · WebCAE solver