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 Problem 10
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Problem

Morley’s Spherical Shell.

Reference

R.H. Macneal and R.L.Harder, "A Proposed Standard Set of Problems To Test Finite Element Accuracy," Finite Elements in Analysis and Design, 1, pp 3-20, 1985.
Also
Morley, L.S.D. and A.J. Morris, Conflict between Finite Elements and Shell Theory, Royal Aircraft Establishment Report, London, 1978.

Data

Radius of Shell = 10.0, Thickness=0.04
Young’s Modulus =6.825E7, Poisson’s ratio = 0.3
Loading: Unit forces as shown.
Constraints: Symmetric boundary conditions along vertical edges.

Comments

It is a doubly-curved shell problem. The equator is a free edge so that this problem represents a hemisphere with four point loads alternating in sign at 90 degree intervals on the equator. Both membrane and bending strains contribute significantly to the radial displacement at the load point.

 

CAEFEM v6.0, MSC NASTRAN for Windows v1.0, ANSYS v5.3 (generated using FEMAP)

 

 

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