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Space Shell

Description

A hemispherical shell with an opening at its top is loaded with point loads along its edge. As the geometry and loading are symmetrical, only one-quarter of the shell is modeled.

Geometry

Elements: rectangular

Radius: 10.0

Thickness: 0.4

Modulus of Elasticity: 6.825×107

Poisson ratio: 0.3

Supports: Symmetry supports along the side of the shell, a support for stability at the midpoint of the base.

Loads

  • Concentrated load: 1.0 at node 11
  • -1.0 at node 103

Reference

Richard H.Macneal, Robert L. Harder, A Proposed Set of Problems to Test Finite Element Accuracy, R.C.Finite Elements in Analysis and Design, North Holland, 1985.

Calculations

The reference gives 0.094 as the value for the comparison of results.

Comparison of Results

Node Result type Result Deviation
Theoretical STRAP
11, 103 Deflection in the

direction of load

0.094 0.0902 4.04%

 

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