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Diaphragm as a Plate

The pressure-loaded diaphragm can be considered as a circular plate subjected to a uniformly distributed loading, as shown in the schematic below.

The plate deflection depends upon its material properties, geometric properties, and boundary conditions, and on the magnitude of the loading. Some particular results are included in the table below. They can be found in most textbooks or handbooks on theory of plates, such as Roark's Formulas for Stress and Strain by Young and Roark and Formulas for Stress, Strain, and Structural Matrices by Pilkey.

Circular Plate with Uniformly Distributed Load

Clamped circular plate with uniformly distributed load

where is the bending rigidity of the plate, and h and n are the thickness and Poisson's ratio of the plate material, respectively.

Simply supported circular plate with uniformly distributed load