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Symmetrically Loaded Circular Plates under the Combined Action of Lateral and End Loading

Published online by Cambridge University Press:  07 June 2016

Raymond Hicks
Raymond Hicks*
Affiliation:
G.E.C. Simon-Carves Atomic Energy Group
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Extract

Expressions are obtained for the radial and tangential bending moments in a circular plate under the combined action of (a) a lateral load concentrated on the circumference of a circle and an end tension or compression, and (b) a uniformly distributed lateral load, having a diameter less than the diameter of the plate, and an end tension or compression. For both types of loading, solutions are obtained for plates which are simply-supported and for plates with an arbitrary end rotation.

In addition, the following limiting cases are considered: (i) concentrated lateral load with end tension or compression, and (ii) an infinite plate under the simultaneous action of an end tension and a lateral load concentrated on the circumference of a circle of finite diameter.

Type
Research Article
Information
Aeronautical Quarterly , Volume 10 , Issue 3 , August 1959 , pp. 266 - 282
Copyright
Copyright © Royal Aeronautical Society. 1959

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References

1. Bickley, W. G. Deflection and Vibration of a Circular Plate under Torsion, Phil. Mag., Vol. 15, p. 776, 1933.Google Scholar
2. Bryan, G. H. On the Stability of a Plane Plate under Thrust in its own Plane with Application to the Buckling of the Sides of the Ship. Proceedings of the London Mathematical Society, Vol. 22, p. 54, 1891.Google Scholar
3. Nadai, A. Uber das Ausbeulen von Kreisformigen Platten. V. D. I. Zeitschrift, Vol. 59, p. 169, 1915.Google Scholar
4. Meissner, E. Uber das Knicken Kreisformiger Scheiben. Schweizerische Bauzeitung, Vol. 101, p. 87, 1933.Google Scholar
5. British Association Mathematical Tables. Cambridge University Press, 1950.Google Scholar
6. McLachlan, N. W. Bessel Functions for Engineers. Second Edition. Clarendon Press, Oxford, 1955.Google Scholar
7. Jahnke, E. and Emde, F. Funktionentafeln. Teubmer, Leipzig, 1933; Dover Publications, New York, 1943.Google Scholar
8. Dwight, H. D. Tables of Integrals and other Mechanical Data. Macmillan, 1953.Google Scholar
9. Timoshenko, S. Theory of Elastic Stability. McGraw-Hill, New York, 1936.Google Scholar