Mathematical Proceedings of the Cambridge Philosophical Society: Volume 52 - Issue 3

Bending of a circular plate with an eccentric circular patch symmetrically loaded with respect to its centre
W. A. Bassali, R. H. Dawoud
Published online by Cambridge University Press:

24 October 2008, pp. 584-598
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The complex variable method is applied to obtain solutions for the deflexion of a supported circular plate with uniform line loading along an eccentric circle under a general boundary condition including the clamped boundary , a boundary with zero peripheral couple , a boundary with equal boundary cross-couples , a hinged boundary and a boundary for which , η being Poisson's ratio. These solutions are used to obtain the deflexion at any point of a circular plate having an eccentric circular patch symmetrically loaded with respect to its centre. Expressions for the slope and cross-couples over the boundary and the deflexions at the centres of the plate and the loaded patch are obtained.

Mathematical Proceedings of the Cambridge Philosophical Society