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Abstract

This study considered the solution of the system of coupled partial differential equations of equilibrium of rectangular Mindlin plates subjected to bisinusoidal transverse load over the entire plate domain. The method of undetermined parameters was used. Solutions were assumed in terms of unknown parameters for the unknown displacements in the governing equation that apriori satisfied all the simply supported boundary conditions on the plate edges. The unknown parameters were obtained by solving a system of algebraic equations. The in plane displacement, transverse displacement, inplane stresses and transverse stresses were obtained from the determined parameters using the equations of Mindlin plate theory. Comparison of the results of this study with the literature results shows agreement with the previous work of Reddy and Pagano. It was also found that for thin plates, the results agree remarkably well with classical plate theory.