Deflection of Uniformly Loaded Circular Plates

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Abstract
The equation for small deflections of a uniformly loaded and supported circular plate is rewritten so that the two constants of integration are interpreted as the center deflection ω0 and a boundary parameter α. Stresses and bending moments are given in terms of ω0 and α. A particular advantage of this treatment is that the nature of the support may be found experimentally even if the elastic constants, plate thickness, and load are unknown. The energy method is used to develop a more general theory of large deflections, valid for any condition of uniform support at the edge.

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