Determination of Symmetric End Loads from Bulk Stresses on a Rectangular Prism
AERONAUTICAL RESEARCH LABS MELBOURNE (AUSTRALIA)
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The stress distribution in rectangular prisms subjected to certain normal end forces on its two opposite faces is a fundamental problem in Applied Mechanics. The stress distribution near the loaded surface may be very complex, and the distribution given by elementary theory is often inaccurate. In this paper, it is assumed that the bulk stress on a lateral surface of a rectangular prism, which is being subjected to an arbitrary loading, is known. Such a measurement could be obtained using advanced thermal emission techniques. The aim of this paper is to reveal how the measured values of bulk stresses can be used to determine the actual end loads. A method for calculating the bulk stresses produced by a self-equilibrating end load is given in. This will be referred to as the Direct solution. In the Inverse method we will determine the end loading from a known distribution of bulk stress values on a lateral surface.