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The transverse flexure of thin elastic plates supported at several points

Published online by Cambridge University Press:  24 October 2008

W. A. Bassali
W. A. Bassali
Affiliation:
Faculty of ScienceUniversity of Alexandria, Egypt
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Abstract

This paper depends upon the method developed by Kolossoff and Muskhelishvili for problems of plane elasticity and later extended to plate problems by Lechnitzky. Exact solutions in closed forms are obtained for the problem of a thin circular plate supported at several interior or boundary points and normally loaded over the area of an eccentric circle, the load being symmetrical with respect to the centre of the circle and the boundary of the plate being free. Explicit formulae for the deflexion, the bending and twisting moments and shearing stresses are given at any point of the plate. As limiting cases plates in the form of the infinite plane and half plane are also considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 728 - 743
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

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