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.
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