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Abstract
An elastic analysis is developed for a rectangular plate under uniform longitudinal compression. The plate is simply supported on the loaded ends, rotationally restrained by an elastic medium and also fully supported against out-of-plane movements along one unloaded edge, while the fourth edge is completely free. The energy method is used, based on an approximate expression for the critical buckling mode, and the plate is assumed to contain an initial imperfection in this same mode. The analysis determines the elastic critical buckling stress, the elastic post-buckling stiffness and the distribution of membrane, bending and torsional shear stresses in the plate. Various locations of first yield are studied to determine an approximate failure criterion. Finite element solutions are described which provide data for comparison with the predicted elastic and ultimate strength behaviour and very good agreement is achieved.
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