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Stress concentration around a loaded bolt in an axially loaded bar

Published online by Cambridge University Press:  24 October 2008

R. D Gregory
R. D Gregory
Affiliation:
Department of Mathematics, University of Manchester
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Abstract

In Part I of the paper, a simple theory of infinite systems of linear equations of the type L2 is presented. In Part II, these results are applied to the elastostatic problem of determining the stress distribution in an axially loaded bar, held in position by a centrally placed circular bolt. Some numerical results are obtained and these are compared with experimental observation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 4 , October 1968 , pp. 1215 - 1236
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Bickley, W. G.The distribution of stress round a circular hole in a plate. Philos. Trans. Roy. Soc. London Ser A 227 (1928), 383–415.Google Scholar
(2)Cox, H. L. and Brown, A. F. C.Stresses round pins in holes Aero. Quart. 15 (1964), 357–372.CrossRefGoogle Scholar
(3)Frocht, M. M. and Hill, H. N.Stress-concentration factors around a central circular hole in a plate loaded through pin in the hole. Trans. A.S.M.E. 62 (1940), A 5–A 9.CrossRefGoogle Scholar
(4)Gregory, R. D.An expansion theorem applicable to problems of wave propagation in an elastic half-space containing a cavity. Proc. Cambridge Philos. Soc. 63 (1967), 1341–1367.CrossRefGoogle Scholar
(5)Howland, R. C. J.On the stress in the neighbourhood of a circular hole in a strip under tension. Philos. Trans. Roy. Soc. London Ser. A 229 (1930), 49–86.Google Scholar
(6)Jessop, H. T., Snell, C. and Hollister, G. S.Photoelastic investigation on plates with single interference fit pins with load applied (a) to pin only and (b) to pin and plate simultaneously Aero. Quart. 9 (1958), 147–163.CrossRefGoogle Scholar
(7)Kantorovich, L. V. and Krylov, V. I.Approximate methods of higher analysis (Interscience Publishers Inc., New York, 1964).Google Scholar
(8)Knight, R. C.On the stresses in a perforated strip. Quart. J. Math. Oxford Ser. 5 (1934), 255–268.CrossRefGoogle Scholar
(9)Knight, R. C.The action of a rivet in a plate of finite breadth. Philos. Mag. 19 (1935), 517–540.CrossRefGoogle Scholar
(10)Love, A. E. H.The mathematical theory of elasticity (Dover, 1944).Google Scholar
(11)Polskii, N. I.On the convergence of certain approximate methods of analysis. Ukrain. Mat. Z. 7 (1955), 56–70 (Russian).Google Scholar
(12)Riesz, F.Systèmes d'équations linéaires à une infinité d'inconnues. (Paris, 1913).Google Scholar
(13)Smithies, F.Integral equations (Cambridge University Press, 1962).Google Scholar
(14)Theocaris, P. S.The stress distribution in a strip loaded in tension by means of a central pin. Trans. A.S.M.E. (Ser. E), J. Appl. Mech. 78 (1956), 85–90.CrossRefGoogle Scholar
(15)Engineering sciences data, Item no. 65004.Google Scholar