Treated is the flexure of an infinite plate which is simply supported on a circle and subjected to a concentrated force at an arbitrary point. The portion of the plate inside the circular support is allowed to have elastic properties that are different from those of the outside part. The solution is exact within the framework of the classical theory of thin elastic plates and is in the form of a uniformly convergent series. Several previously known solutions appear as limiting cases of the results given here.
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Flexure by a Concentrated Force of the Infinite Plate on a Circular Support
J. Dundurs ,
Northwestern University, Evanston, Ill.
U. S. Army, Cold Regions Research and Engineering Laboratory, Hanover, N. H.
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Dundurs, J., and Lee, T. (June 1, 1963). "Flexure by a Concentrated Force of the Infinite Plate on a Circular Support." ASME. J. Appl. Mech. June 1963; 30(2): 225–231. https://doi.org/10.1115/1.3636516
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