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Long Cylindrical Tube Subjected to Two Diametrically Opposite Loads

Published online by Cambridge University Press:  07 June 2016

J. C. Yao
J. C. Yao*
Affiliation:
Douglas Aircraft Company, Long Beach, California
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Summary

A theoretical study is made of the problem of a long, thick cylindrical tube subjected to two equal and diametrically opposite normal loads. The stress state is analysed by the three-dimensional theory of elasticity, with the Papkovich and Neuber stress-function approach. Numerical results for stresses and radial displacement are obtained to show the nature of stress concentration in the neighbourhood of the load. Some related experiments using the photoelasticity technique are also accomplished. Favourable correlation is shown between the theory and the test results.

Type
Research Article
Information
Aeronautical Quarterly , Volume 20 , Issue 4 , November 1969 , pp. 365 - 381
Copyright
Copyright © Royal Aeronautical Society. 1964

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References

1. Klosner, J. M. The elasticity solution of a long circular-cylindrical shell subjected to a uniform, circumferential, radial line load. Journal of the Aerospace Sciences, pp. 834–841, July 1962.Google Scholar
2. Papkovich, P. F. The representation of ¡the general integral of the fundamental equations of elasticity theory in terms of harmonic functions. (In Russian), Izvestiya Akademii Nauk SSSR, Physics-Mathematical Series, Vol. 10, pp. 1425–1435, 1932.Google Scholar
3. Neuber, H. Ein neuer Ansatz zur Lösung räurnleicher Probleme der Elastizitäts Théorie, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 14, pp. 203–212, 1934.Google Scholar
4. Love, A. E. H. A treatise on the mathematical theory of elasticity. Dover Publications, New York, p. 134, 1944.Google Scholar
5. Yuan, S. W. Thin cylindrical shells subjected to concentrated loads. Quarterly of Applied Mathematics, Vol. 4, pp. 13–26, 1946.Google Scholar
6. Yao, J. C. Long cylindrical tube subjected to concentrated loads. Unpublished notes, 1962.Google Scholar
7. Abramowitz, M. and Stegun, I. A. Handbook of mathematical functions with formulas, graphs, and mathematical tables. National Bureau of Standards (US), 1964.Google Scholar
8. Stegun, I. A. and Abramowitz, M. Generation of Bessel Functions on high-speed computers. Mathematics of Computation, National Academy of Science, Vol. 11, No. 60, pp. 255–257, October 1957.Google Scholar
9. Yao, J. C. Bending due to ring loading of a cylindrical shell with an elastic core. Journal of Applied Mechanics, pp. 100–102, March 1965.Google Scholar
10. McCracken, D. D. A guide to Fortran IV programming. John Wiley, New York, p. 72, 1965.Google Scholar
11. Timoshenko, S. and Goodier, J. N. Theory of elasticity, McGraw-Hill, New York, 1951.Google Scholar
12. Leven, M. M. Quantitative three-dimensional photoelasticity. Proceedings of the Society for Experimental Stress Analysis, Vol. 12, No. 2, pp. 157–171, 1955.Google Scholar
13. Frocht, M. M. Photoelasticity. Vol. 1, John Wiley, New York. 1941.Google Scholar