A new higher order theory of homogeneous plates is developed in this p
aper. The present theory accounts for all nonclassical effects such as
transverse strains and normal strain. The governing equations are pre
sented in the form of four simultaneous partial differential equations
. An exact closed-form solution is obtained for an infinite plate, sim
ply supported on opposite edges and infinitely long in the other direc
tion, subjected to a sinusoidal static load. The results are compared
with the exact solution and higher order theory solutions. It is found
that the present theory predicts displacements, stresses and strains
accurately.