NAFEMS LE3

Static (shells)PASS · 0.13%

Hemispherical shell under point loads

Tolerance:: 5%

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Problem statement

Geometry: 90° sector of a hemispherical shell, radius 10 m, thickness 0.04 m.
Material: E = 68.25 GPa, ν = 0.3.
Boundary conditions: Symmetry on the cut edges, a point restrained vertically; concentrated loads Fx = +2 kN and Fy = −2 kN 90° apart.
Measured quantity: Radial displacement at the loaded point A.

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=68250 nu=0.3
import path="nafems-le3.step" format=step
section shell t=0.04
mesh shell size=0.2 element=quad
fix edge number 1 component=x
fix edge number 2 component=y
load vertex number 1 force=2.0 component=x
load vertex number 2 force=-2.0 component=y
solve
probe displacement_magnitude vertex=1

Results comparison

Reference value	0.185 м
Our result	0.18497489066239903
Deviation	0.13%
Tolerance	5%
Status	PASS · 0.13%
Element family	Shell element
Mesh details	MITC4-quad, четверть полусферы с отверстием 18°, 24×24 (R=10 м, t=0.04 м); сходимость 8×8 → 16×16 → 24×24: 1.844e-1 → 1.851e-1 → 1.850e-1 м против эталона 0.185 м; постановка с отверстием 18°, штраф drilling Хьюза–Брецци

Updated: 2026-10-10 · WebCAE solver