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A problem of a thin circular plate transversely loaded and rigidly held on its boundary

Published online by Cambridge University Press:  24 October 2008

F. P. Sayer
F. P. Sayer
Affiliation:
College of Technology, Portsmouth
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Extract

The plate is of thickness 2h and occupies the region defined by 0 ≤ x2+y2 ≤ x2, −h ≤ Z ≤ h, x, y, Z being rectangular Cartesian coordinates. A normal load , where p is a constant, is applied to the surface Z = h and the boundary is held so that the displacement on it is zero. Using the results of an earlier paper by Tiffen and Sayer (3), expressions are obtained for the mean stresses and stress couples at any point of the plate.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 1 , January 1965 , pp. 289 - 293
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1)Love, A. E. H.Mathematical theory of elasticity (Cambridge, 1934).Google Scholar
(2)Stevenson, A. C.Philos. Mag. (7) 33 (1942), 639–661.Google Scholar
(3)Tiffen, R. and Sayer, F. P.A moment theory of elastic plates. Mathematika 9 (1962), 11–24.Google Scholar
(4)Watson, G. N.Theory of Bessel functions (Cambridge, 1952).Google Scholar