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Clamped Rectangular Plates with a Central Concentrated Load*

Published online by Cambridge University Press:  28 July 2016

Dana Young
Dana Young*
Affiliation:
Department of Civil Engineering, Connecticut State College
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Extract

A general method of solution for rectangular plates with clamped edges and any kind of loading has been developed by Professor S. P. Timoshenko. The present paper gives the results of calculations using this method for the maximum deflection, moment, and edge shears for rectangular plates of various proportions with all four edges clamped and loaded by a single concentrated load at the centre. Similar data for a clamped rectangular plate with a uniformly distributed load have been given by I. A. Wojtaszak and also T. H. Evans. A report of an experimental investigation of this problem with some analytical results has been given by R. G. Sturm and R. L. Moore.

Type
Research Article
Information
The Aeronautical Journal , Volume 44 , Issue 352 , April 1940 , pp. 350 - 354
Copyright
Copyright © Royal Aeronautical Society 1940

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Footnotes

*

Presented at the National Meeting of the Applied Mechanics Division of The American Society of Mechanical Engineers, New York, N.Y., June 14-15, 1939, and reprinted by courteous permission of the American Society of Mechanical Engineers.

References

1. “Bending of Rectangular Plates with Clamped Edges,” by Timoshenko, S. P., Proceedings of the Fifth International Congress for Applied Mechanics, Cambridge, Mass., September, 1938. For abstract see Journal of Applied Mechanics, Trans. A.S.M.E., vol. 60, September, 1938, p. A–132.Google Scholar
2. “The Calculation of Maximum Deflection, Moment, and Shear for Uniformly Loaded Rectangular Plate With Clamped Edges,” by Wojtaszak, I. A., Journal of Applied Mechanics, Trans. A.S.M.E., vol. 59, December, 1937, p . A–173. Also: “Tables of Moments and Deflections for Rectangular Plate Fixed on All Edges and Carrying a Uniformly Distributed Load,” by Evans, T. H., Journal of Applied Mechanics, Trans. A.S.M.E., vol. 61, March, 1939, p. A-7.Google Scholar
3. “The Behaviour of Rectangular Plates Under Concentrated Load,” by Sturm, R. G. and Moore, R. L., Journal of Applied Mechanics, Trans. A.S.M.E., vol. 59, June, 1937, p. A–75.Google Scholar
4. “Über die Biegung der allseitig unterstützten rechteckigen Platte unter Wirkung einer Einzellast,” by Timoshenko, S. P., Der Bauingenieur, vol. 3, 1922, p. 51.Google Scholar
5. “A Distribution Procedure for the Analysis of Slabs Continuous Over Flexible Beams,” by Newmark, N. M., Engineering Experiment Station, University of Illinois, Urbana, Ill., Bulletin No. 304, 1938, p . 112.Google Scholar