Flexure by a Concentrated Force of the Infinite Plate on a Circular Support

[+] Author and Article Information
J. Dundurs

Northwestern University, Evanston, Ill.

Tung-Ming Lee

U. S. Army, Cold Regions Research and Engineering Laboratory, Hanover, N. H.

J. Appl. Mech 30(2), 225-231 (Jun 01, 1963) (7 pages) doi:10.1115/1.3636516 History: Received January 25, 1962; Online September 16, 2011


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.

Copyright © 1963 by ASME
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