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Transverse bending of infinite and semi-infinite thin elastic plates. III

Published online by Cambridge University Press:  24 October 2008

W. A. Bassali ,
M. Nassif  and
H. P. F. Swinnerton-Dyer
W. A. Bassali
Affiliation:
Faculty of Science, University of Alexandria, Egypt
M. Nassif
Affiliation:
Faculty of Engineering, University of Alexandria, Egypt
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Abstract

Within the restrictions of the classical plate theory, complex variable methods are used in this paper to develop an exact expression for the transverse displacement of an infinitely large isotropic plate having a free outer boundary and elastically restrained at an inner circular boundary, the plate being subjected to a general type of loading distributed over the area of a circle. The limiting case of a half-plane clamped along the straight edge and acted upon normally by the same loading is also considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 54 , Issue 2 , April 1958 , pp. 288 - 299
Copyright
Copyright © Cambridge Philosophical Society 1958

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References

REFERENCES

(1)Bassali, W. A.Proc. Camb. Phil. Soc. 53 (1957), 248.Google Scholar
(2)Bassali, W. A.Bull. Calcutta Math. Soc. 49 (1957), 119.Google Scholar
(3)Bassali, W. A.Proc. Camb. Phil. Soc. 53 (1957), 744.Google Scholar
(4)Dawoud, R. H.Proc. Math. Phys. Soc. Egypt, 5 (1954), 51.Google Scholar
(5)Dean, W. R.Proc. Camb. Phil. Soc. 50 (1954), 623.Google Scholar
(6)Holgate, S.Proc. Roy. Soc. A, 185 (1946), 35–69.Google Scholar
(7)Jaramillo, T. J.J. Appl. Mech. 17 (1950), 67.Google Scholar
(8)Muskhelishvili, N. I.Some basic problems of the mathematical theory of elasticity, 3rd ed. (Moscow, 1949).Google Scholar
(9)Stevenson, A. C.Phil. Mag. (7), 33 (1942), 639 and 34 (1943), 105.CrossRefGoogle Scholar
(10)Symonds, P. S.J. Appl. Mech. 13 (1946), 181.Google Scholar
(11)Tiffen, R.Quart. J. Mech. Appl. Math. 8 (1955), 237.Google Scholar