Exact Solution of the Elliptical and Rectangular Plates Uniformly Loaded and with "Clamped Edges" in the Sense hitherto Used

Abstract

The author presented, on the Journal No.86 of the Society, the general solution of the uniformly loaded plate which is accordant strictly to the requirements of the theory of elasticity. Now, the author shows the applications of the solution to the elliptical and rectangular plates with clamped edges. According to the results obtained, the deflection of the middle surface derived from the plate equation ∇^4w=P/D assuming w=0 and (〓w)/(〓n) at the boundary is smaller than what actually occurs.