Effects of shear and normal strain on plate bending

The equations governing the bending of plates, taking into account the influence of transverse normal strain, are recast into a form involving the average transverse displacement function, w. The resulting sixth order bending system of equations is solved for the Levy-type plates, with a variety of boundary conditions considered in the direction orthogonal to the simply supported direction. Results are tabulated for the displacement, w, together with the plate moments M, and My. Comparisons are made to corresponding quantities as obtained from the classical plate theory and the shear deformation theory where available.