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A Circular Elastic Cylinder Under Extension

Published online by Cambridge University Press:  31 August 2011

W.-D. Tseng and
J.-Q. Tarn
W.-D. Tseng*
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.Department of Construction Engineering, Nan-Jeon Institute of Technology, Tainan, Taiwan 73746, R.O.C.
J.-Q. Tarn
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Graduate student, corresponding author

Abstract

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Analysis of deformation and stress field in a circular elastic cylinder under the extension is presented, with emphasis on the end effect. The problem is formulated on the basis of the state space formalism for axisymmetric deformation of transversely isotropic materials. A rigorous solution that satisfies the prescribed end conditions is determined by using symplectic eigenfunction expansion, thereby, the applicability of the Saint-Venant solution is examined. The results show that the end effect is significant but confined to a local region near the base of the cylinder where the end plane is perfectly bonded or subjected to a concentrated load. As the axial stiffness increases, the end effect on the stress state increases at the loaded end but decreases at the bonded end. The displacement and stress distributions across the section are uniform throughout the length of the cylinder except near the ends.

Keywords

Circular cylindersEnd effectsState spaceSymplectic orthogonality

Information

Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 3 , September 2011, pp. 399 - 407
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

References

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