The basic equations of deflection, slope, and moments for a thin, flat, circular plate subjected to a uniform load on a concentric circle were derived for four generalized cases. From these generalized cases, six simplified cases were deduced. The four generalized cases have the uniform load acting on a concentric circle of the plate between the inner and outer edges, with the following boundary conditions: (a) Outer edge supported and fixed, inner edge fixed; (b) outer edge simply supported, inner edge free; (c) outer edge simply supported, inner edge fixed; and (d) outer edge supported and fixed, inner edge free.
Bending of Circular Plates Under a Uniform Load on a Concentric Circle—Part II
J. C. Heap
Particle Acceleration Division, Argonne National Laboratory, Argonne, Ill.
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Heap, J. C. (May 1, 1968). "Bending of Circular Plates Under a Uniform Load on a Concentric Circle—Part II." ASME. J. Eng. Ind. May 1968; 90(2): 279–293. https://doi.org/10.1115/1.3604628
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