For thin membranes subjected to uniform pressure q the maximum deflection is given by

qR Et

For rectangular plates subjected to uniform loads the maximum deflection and bending moments are given by equations of the form qbA

the constants a and fi depending on the method of support and plate dimensions. Typical values are listed later in Tables 7.3 and 7.4.

A. CIRCULAR PLATES 7.1. Stresses

Consider the portion of a thin plate or diaphragm shown in Fig. 7.1 bent to a radius Rxy in the XY plane and Ryz in the YZ plane. The relationship between stresses and strains in a three-dimensional strain system is given by eqn. (7.2),+

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