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On limiting cases in the flexure of simply supported regular polygonal plates

Published online by Cambridge University Press:  24 October 2008

K. Rajaiah  and
Akella Kameswara Rao
K. Rajaiah
Affiliation:
Indian Institute of Science, Bangalore 12, India
Akella Kameswara Rao
Affiliation:
Indian Institute of Science, Bangalore 12, India
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Abstract

Limiting solutions are derived for the flexure of simply supported many-sided regular polygons, as the number of sides is increased indefinitely. It is shown that these solutions are different from those for simply supported circular plates. For axisymmetric loading, circular plate solutions overestimate the deflexions and the moments by significant factors.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 831 - 834
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Bassali, W. A. and Hanna, N. O. M.Bending of curvilinear and rectilinear polygonal plates symmetrically loaded over a concentric circle. Proc. Cambridge Philos. Soc. 57 (1961), 166–179.CrossRefGoogle Scholar
(2)Bassali, W. A. and Barsoum, F. R.The transverse flexure of uniformly loaded curvilinear and rectilinear polygonal plates. Proc. Cambridge Philos. Soc. 62 (1966), 523–540.CrossRefGoogle Scholar
(3)Rao, A. K. and Rajaiah, K.Polygon-circle paradox of simply supported thin plates under uniform pressure. AIAA J. 6 (1968), 155–156.CrossRefGoogle Scholar
(4)Timoshenko, S. and Woinowsky-Krieger, S.Theory of plates and shells, 2nd edition (New York: McGraw-Hill, 1959).Google Scholar