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Bending of a simply-supported shallow spherical shell under a uniform line load on a part of a parallel circle

Published online by Cambridge University Press:  24 October 2008

D. N. Mitra
D. N. Mitra
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur
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Abstract

The two fourth-order partial differential equations giving the transverse displacement and the stress functions for shallow shells are reduced to a sixth-order differential equation in one variable which has been solved, and the values of displacements, stress resultants and couples are all expressed in terms of Bessel Functions of imaginary argument. Numerical values of the displacement presented for points on the shell on different meridian lines, showed that on the symmetrical line deflexion is maximum at the point of loading but the point of maximum deflexion shifts gradually towards the pole.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 239 - 246
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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