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 Mx and My. Comparisons are made to corresponding quantities as obtained from the classical plate theory and the shear deformation theory where available.