Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-24T13:08:32.548Z Has data issue: false hasContentIssue false
  • English
  • Français

A thin circular plate normally and uniformly loaded over a concentric elliptic patch

Published online by Cambridge University Press:  24 October 2008

W. A. Bassali  and
M. Nassif
W. A. Bassali
Affiliation:
Faculty of Science Alexandria University, Egypt
M. Nassif
Affiliation:
Department of MathematicsAssiut University, Egypt
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper is concerned with the small transverse displacement of a thin circular plate elastically restrained along the circular boundary and subject to uniform normal pressure distributed over the area of an ellipse concentric with the plate. The method of complex potentials is used and the general assumptions relating to the small deflexion theory of thin plates are adopted. Explicit formulae for the bending and twisting moments and shearing forces are given at any point on the boundary and at the centre of the plate.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 55 , Issue 1 , January 1959 , pp. 101 - 109
Copyright
Copyright © Cambridge Philosophical Society 1959

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 Dawoud, R. H.Proc. Camb. Phil. Soc. 52 (1956), 584.CrossRefGoogle Scholar
(2)Bassali, W. A.Proc. Camb. Phil. Soc. 52 (1956), 734–49.CrossRefGoogle Scholar
(3)Bassali, W. A.Proc. Camb. Phil. Soc. 53 (1957), 728.CrossRefGoogle Scholar
(4)Bassali, W. A. and Dawoud, R. H.Mathematika, 3 (1956), 144.CrossRefGoogle Scholar
(5)Bassali, W. A. and Dawoud, R. H.J. Appl. Mech. 25 (1958), 37.CrossRefGoogle Scholar
(6)Bassali, W. A. and Nassif, M. J.J. Appl. Mech. 26 (1959) (to appear).CrossRefGoogle Scholar
(7)Dawoud, R. H.Proc. Math. Phys. Soc. Egypt, 5 (1954), 51.Google Scholar
(8)Sapondzy˘an, O. M.Akad. Nauk. Armyan. SSR. Izv. Fiz.-Mat. Estest. Thehn. Nauki 7 (1954), 19–43.Google Scholar
(9)Stevenson, A. C.Phil. Mag. (7), 34 (1943), 105.CrossRefGoogle Scholar
(10)Timoshenko, S.Theory of plates and shells (New York, 1940).Google Scholar