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Normal Loading on a Wedge-Shaped Plate

Published online by Cambridge University Press:  07 June 2016

D. E. R. Godfrey*
Affiliation:
Battersea Polytechnic
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Summary

The equations of thin plate theory are expressed in polar co-ordinates and transformed using the Mellin transform. Problems involving discontinuous and isolated normal loadings may then be solved in the case of the built-in or freely supported wedge-shaped boundary.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1955

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References

1. Stevenson, A. C. On the Equilibrium of Plates. Phil. Mag. 7, Vol. 33, p. 639, 1942.CrossRefGoogle Scholar
2. Stevenson, A. C. The Boundary Couples in Thin Plates. Phil. Mag. 7, Vol. 34, p. 105, 1943.CrossRefGoogle Scholar
3. Uflyand, Y. S. Application of the Mellin Transform to the Problem of Bending a Thin Elastic Plate in the Shape of a Wedge. Doklady Akad. Nauk U.S.S.R., 84, p. 463, 1952.Google Scholar
4. Woinowsky-Kreiger, S. The Bending of a Wedge Shaped Plate. Journal of Applied Mechanics, Vol. 20, p. 77, 1953.CrossRefGoogle Scholar
5. Godfrey, D. E. R. Generalised Plane Stress in an Elastic Wedge under Isolated Loads. Quarterly Journal of Mechanics and Applied Mathematics, Vol. VIII, p. 226, 1955.CrossRefGoogle Scholar
6. Tranter, C. J. The Use of the Mellin Transform in Finding the Stress Distribution in an Infinite Wedge. Quarterly Journal of Mechanics and Applied Mathematics, Vol. I, p. 125, 1948.CrossRefGoogle Scholar