Hostname: page-component-76fb5796d-5g6vh Total loading time: 0 Render date: 2024-04-25T13:38:59.722Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  24 October 2008

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

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
Copyright
Copyright © Cambridge Philosophical Society 1969

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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), 166179.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), 523540.CrossRefGoogle Scholar
(3)Rao, A. K. and Rajaiah, K.Polygon-circle paradox of simply supported thin plates under uniform pressure. AIAA J. 6 (1968), 155156.CrossRefGoogle Scholar
(4)Timoshenko, S. and Woinowsky-Krieger, S.Theory of plates and shells, 2nd edition (New York: McGraw-Hill, 1959).Google Scholar