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Symmetrically loaded shallow shells of revolution

Published online by Cambridge University Press:  26 February 2010

R. H. Dawoud
R. H. Dawoud
Affiliation:
Faculty of Engineering, Cairo University, Giza, Egypt.
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Extract

The membrane theory for calculating stresses in symmetrically loaded elastic shells of revolution was introduced in 1828 by Lamé and Clapeyron [1] who assumed that a thin shell is incapable of resisting bending. In 1892 Love [2] gave the general equations of equilibrium for an element of an elastic shell taking bending into consideration and obtained expressions for the strains in terms of the displacements as well as the stress-strain relations. Since then the problem of the elastic shell has been the subject of numerous researches. The spherical shell has, however, drawn the attention of many investigators due to its importance in structural and mechanical engineering, e.g. roof and boiler constructions.

Type
Research Article
Information
Mathematika , Volume 7 , Issue 1 , June 1960 , pp. 23 - 35
Copyright
Copyright © University College London 1960

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References

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