Abstract
This chapter presents the relationships between the buckling loads of the classical Kirchhoff plate theory, the Mindlin plate theory, and the Reddy plate theory for simply supported polygonal plates, and circular and sectorial plates subjected to hydrostatic in-plane loads. The buckling load relationships enable obtaining the solutions of the shear deformable plate theories from the known Kirchhoff plate theory for the same problem. As examples, some buckling loads for rectangular plates, regular polygonal plates, and circular and sectorial plates are determined using these relationships.
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