Simply supported rectangular plates subjected to the combined action of a uniformly distributed lateral load and compressive forces in the middle plane

Article type: Research Article

Authors: Burghgraef, B.

Abstract: A method to evaluate the maximum deflection and maximum stresses in a simply supported plate subjected to water pressure and compressive forces in the middle plane is discussed. It is based on a comparison of the results obtained from Marguerre’s theory of large deflections and from de Saint Venant’s linear equation for small deflections of plates. A magnification factor is derived by means of a similar procedure as used by F. Bleich. However a more accurate result is aimed at by taking into account a term neglected by F. Bleich. Charts are given from which a rapid computation of maximum deflection and stresses may be made. Limitations to the use of the magnification factor are discussed and a numerical example is given. In an appendix the method to prepare the chart from which the magnification factor can be determined, is described. It is shown that a simple construction and only a minimum of numerical work are necessary. Finally some references are given.

DOI: 10.3233/ISP-1957-43902

Journal: International Shipbuilding Progress, vol. 4, no. 39, pp. 572-578, 1957