Stress Distribution in Wedges with Arbitrary Boundary Forces

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Abstract
Stress distribution under plain strain in a corner of any angular magnitude. A generalization of the method of von Kármán, applicable to the wedge, for any force distribution over the straight boundaries is outlined. In the first application the stress function is found for a concentrated force acting at any point of the boundaries of the three‐quarter plane. Certain stresses are plotted. The stress functions are given without mathematical details for the following boundary conditions in the three‐quarter plane: (a) Uniform tension over a part of the boundary; (b) linear distribution over a part of the boundary; (c) superposition of (a) and (b), giving hydrostatic distribution, with a plot of certain stresses. The discussion contains the stress functions for uniform continuous tension on one or both boundaries and points out the very interesting paradox that stresses may be finite for certain continuous loadings, but become infinite if a portion of the load is removed.

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