A Mixed Boundary-Value Problem in the Elementary Theory of Elastic Plates

This paper deals with the solution of a mixed boundary-value problem in the elementary theory of thin elastic plates. The plates are in the form of half-planes, with the boundaries partly clamped and partly simply supported. The solution involves the determination of a function, regular in the upper half-plane, the real part of the function being given on part of the boundary, and the imaginary part on the remainder of the boundary. The method of solution is illustrated by a number of examples, some involving isolated loads.