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Bending of an elastically restrained circular plate under a linearly varying load over an eccentric circle

Published online by Cambridge University Press:  24 October 2008

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

The complex potentials and deflexion at any point of a thin circular plate with a normal linearly varying load over an eccentric circle are determined under a general boundary condition including the usual clamped and hinged boundaries.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 4 , October 1956 , pp. 734 - 741
Copyright
Copyright © Cambridge Philosophical Society 1956

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References

REFERENCES

(1) Muskhelishvili, S. Some basic problems of the mathematical theory of elasticity, 3rd ed. (Moscow, 1949).Google Scholar
(2) Stevenson, A. C. On the equilibrium of plates. Phil. Mag. (7) 33 (1942), 639.Google Scholar
(3) Stevenson, A. C. The boundary couples in thin plates. Phil. Mag. (7) 34 (1943), 105.Google Scholar
(4) Dawoud, R. H. Continuity and boundary conditions in thin elastic plates. Proc. Math. Phys. Soc. Egypt 5 (1954), 51.Google Scholar
(5) Dawoud, R. H. Ph.D. Thesis (London, 1950).Google Scholar
(6) Bassali, W. A. and Dawoud, R. H. Bending of a circular plate with an eccentric circular patch symmetrically loaded with respect to its centre. Proc. Camb. Phil. Soc. 52 (1956), 584.Google Scholar
(7) Timoshenko, S. Theory of plates and shells (New York, 1940).Google Scholar
(8) Bassali, W. A. and Dawoud, R. H. Bending of a thin circular plate concentrically loaded under a general boundary condition. Proc. Math. Phys. Soc. Egypt (in the Press).Google Scholar
(9) Schmidt, H. Ingen.-Arch. 1 (1930), 147.Google Scholar
(10) Sokolnikoff, I. S. Bull. Amer. Math. Soc. 48 (1942), 539.Google Scholar