SERIES SOLUTIONS FOR A TRANSVERSELY LOADED AND COMPLETELY CLAMPED THICK RECTANGULAR PLATE BASED ON THE 3-DIMENSIONAL THEORY OF ELASTICITY

The bending of a thick rectangular plate with all the edges completely clamped is analyzed by the three-dimensional theory of elasticity. A partially distributed uniform load over the top face is dealt within t he analysis. The boundary conditions of the completely clamped edges a re prescribed by three-dimensional, exact conditions that three displa cement components vanish at the faces. The stress distributions at the edges are minutely examined by making the best use of advantages of t he exact analysis. The stress distributions for the case of a fully di stributed uniform load are compared with those obtained by Reissner's theory. The values of deflections and internal forces for various thic kness-length ratios are also presented.