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The Deflection of a Uniformly Loaded Circular Plate Supported by a Concentric Ring

Published online by Cambridge University Press:  04 July 2016

S. A. Urry
S. A. Urry*
Affiliation:
Brunei College
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Summary

For a given plate and loading the optimum supporting ring radius is shown to be approximately 0·677a, there being a slight variation with Poisson’s ratio.

The “edge square” condition, i.e. zero slope at the circumference of the plate, is also investigated. It is satisfied by a ring radius of , a result which is independent of Poisson’s ratio.

Macaulay’s brackets are used in the analysis as an example of their value in circular plate problems.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 67 , Issue 631 , July 1963 , pp. 452 - 454
Copyright
Copyright © Royal Aeronautical Society 1963

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References

1.Timoshenko, S. and Woinowsky-krieger, S.Theory of Plates and Shells, 2nd Ed., Chapter III. McGraw-Hill, 1959.Google Scholar
2.Kitching, R. Optimum Support Position for Flat Plate Subjected to Pressure. Journal of the Royal Aeronautical Society, December 1961.CrossRefGoogle Scholar