Buckling of Encased Elliptic Thin Ring
Publication: Journal of Engineering Mechanics
Volume 121, Issue 12
Abstract
This paper presents a new equation to obtain the ovality reduction factor for the buckling resistance of a rigidly encased thin ring under a uniform external load. The ovality reduction factor is used to relate the buckling pressure of a thin oval to that of a ring in its circular shape. A model for a thin ring subjected to shrink buckling is adapted for the analysis of a constrained ring under external pressure. The purpose of the research is to investigate the validity of the current design criteria of snug-fitting plastic liners, which are used to rehabilitate deteriorated underground pipes. The geometry of deformation of the ring's buckled portion is used to develop an equation to reduce the buckling capacity due to ovality. The proposed equation, which can be applied when the existing pipe has defects in shape, is shown to be much less conservative than the equation used in current practice.
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References
1.
Chicurel, R.(1968). “Shrink buckling of thin circular rings.”J. Appl. Mech., 35(3), 608–610.
2.
Guice, L. K., and Li, J. Y. (1994). “Buckling models and influencing factors for pipe rehabilitation design.”Proc., North Am. NO-DIG '94.
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Hsu, P. T., Elkton, J., and Pian, T. H. H.(1964). “Note on the instability of circular rings confined to a rigid boundary.”J. Appl. Mech., 31(3), 559–562.
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Li, J. Y. (1994). “Design criterion analysis for cured-in-place pipe,” MS thesis, Dept. of Civ. Engrg., Coll. of Engrg., Louisiana Tech Univ., Ruston, La.
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Soong, T. C., and Choi, I.(1985). “Buckling of an elastic elliptical ring inside a rigid boundary.”J. Appl. Mech., 52(3), 523–528.
6.
Standard practice for rehabilitation of existing pipelines and conduits by the inversion an curing of a resin-impregnated tube; F1216-93. (1993). ASTM, Philadelphia, Pa.
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Yamamoto, Y., and Matsubara, N. (1983). “Buckling of a cylindrical shell under external pressure restrained by an outer rigid wall.”Proc., Collapse and Buckling, Struct. Theory and Practice Symp., Cambridge University Press, London, England, 493–504.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 12 • December 1995
Pages: 1325 - 1329
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Dec 1, 1995
Published in print: Dec 1995
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