The rectangle in generalized plane stress, with numerically prescribed boundary stresses and applications to discontinuous loading

Abstract
In papers by Gaydon & Shepherd (1964) and Gaydon (1965), matrices were presented which directly lead to the solution of rectangle problems in generalized plane stress. In these papers the authors supposed that the boundary stresses were easily developable in a certain set of orthogonal functions. In this paper two new matrices are presented which allow the use of the method given in Gaydon (1965) when the boundary stresses are either given in numerical form or when their functional form is such as to make their development in the set of orthogonal functions excessively laborious. The latter is the case when the given boundary stresses are discontinuous and some problems of this sort are solved as illustrations.

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