Abstract

Abstract Two solutions of the problem of the clamped rectangular plate under hydrostatic pressure are given in this paper. The first solution is based on the usual procedures employed in solving problems of bending of thin plates, and the second is the method developed by H. Marcus. Since Marcus’ method is quite general and is applicable to plates with various types of edge conditions and loadings, and since it is apparently but little known in this country, it was thought desirable to present the analysis in full. Tables of moments given herein are for side ratios of 0.6 to 2 at intervals of 0.2 and were computed by means of the Marcus method. The values of the moments computed in this manner for a square plate were checked using the analysis developed in this paper. The tabular values for the side ratios of 1 and 2 are also in substantial agreement with the values given by Lippa.

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