A method is presented for predicting the flexural behaviour of circular plates supported in elastic mountings. When loaded, such plates acquire a boundary condition intermediate between a simply supported and encastré condition. If, is as often the case, a relation Mr / dw/dr= A exists between the moment exerted on the mounting by the plate, Mr, and the slope produced in the mounting, dw/dr, the plate deflects like a simply supported plate having an ‘effective Poisson's ratio’ equal to Aa/D+ρ where ρ is the natural Poisson's ratio. This has been demonstrated both theoretically and experimentally and related to the existence of points of inflection in simply supported plates.
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