Flexure of Simply Supported Thick Homogeneous and Laminated Rectangular Plates

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Abstract
A three‐dimensional, linear, small deformation theory of elasticity solution by the direct method is given for the flexure of simply supported homogeneous, isotropic, thick rectangular plates under arbitrary loading. This solution, in terms of infinite series is formally exact and yields accurate numerical results without undue effort. Numerical results are presented for uniformly distributed normal load on the top surface. The results from Reissner's theory of thick plates and the predictions of thin plate theory are compared with the values from the present exact solution. The analysis is readily extended for laminated plates of isotropic materials. Numerical results are also given for a three‐ply laminate under uniformly distributed normal load on the top surface, and are used to assess the accuracy of thin plate theory predictions for laminates.

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