Abstract
Abstract An existing method for the approximate analysis of two-dimensional stress distributions is extended in scope and applied to two examples of some practical interest. The first is a rectangular plate or block compressed by forces applied centrally to two opposite sides, as by knife edges. Tensions of considerable magnitude are developed across the middle plane through the knife edges. These tensions are determined, and illustration given of their dependence on the extent of spreading of the load over the bearing area. The second is intended as quantitative example of Saint-Venant’s principle in the bending of beams. The stresses due to a non-linear distribution of bending forces on the ends are investigated in order to estimate how far from the end one must go to find the linear distribution assumed in the elementary theory of flexure. Conclusions are given in the paper proper and the mathematical analyses from which they are drawn are given in appendices.
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