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TECHNICAL PAPERS

Effect of Curved Bar Properties on Bending of Curved Pipes

[+] Author and Article Information
V. P. Cherniy

Department of Strength and Stability of Pipelines, Scientific Research Institute of Natural Gases and Gas Technologies, VNIIGAZ, Russian Joint-Stock Company “GAZPROM,” Moscow, Russia

J. Appl. Mech 68(4), 650-655 (Oct 19, 2000) (6 pages) doi:10.1115/1.1357518 History: Received May 23, 2000; Revised October 19, 2000
Copyright © 2001 by ASME
Topics: Pipes , Stress , Displacement
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References

Karman,  Th., 1911, “Über die Formänderung dünnwandiger Rohre, insbesondere federnder Ausgleichrohre,” Z. Ver. Deut. Ing., 55, pp. 1889–1895.
Clark, R. A., and Reissner, E., 1951, “Bending of Curved Tubes,” Advances in Applied Mechanics, Vol. II, Academic Press, San Diego, pp. 93–122.
Cheng,  D. H., and Thailer,  H. J., 1968, “In-Plane Bending of Curved Circular Tubes,” J. Eng. Ind., 90, Series B, No. 4, pp. 666–670.
Cheng,  D. H., and Thailer,  H. J., 1970, “On Bending of Curved Circular Tubes,” J. Eng. Ind., 92, Series B, No. 1, pp. 62–66.
Stasenko, I. V., and Rakhmanova, I. I., 1986, “Analysis of Thin-Walled Pipes of the Large Curvature,” Strength Analyses, Vol. 27, Mashinostroienie, Moscow, pp. 57–69. (in Russian).
Vissat,  P. L., and Del Buono,  A. J., 1955, “In Plane Bending Properties of Welding Elbows,” Trans. ASME, 77, pp. 161–175.

Figures

Grahic Jump Location
Bending of a curved circular pipe
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Displacements of the neutral line of curved pipes; (a) s/e (solid line), (b) s=sn/r (dotted line)
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Longitudinal strain distribution; (a) presented theory λ≠0,s≠0 (solid line), (b) intermediate variant λ≠0,s=0 (dashed line), (c) ordinary theory λ=0,s=0 (dotted line)
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Longitudinal strain distribution; (a) λ=0.8 (solid line), (b) λ=0.5 (dashed line), (c) ordinary theory λ=0,s=0 (dotted line)
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Meridional bending strain distribution; (a) λ=0.8 (solid line), (b) λ=0.5 (dashed line), (c) ordinary theory λ=0,s=0 (dotted line)
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Longitudinal stress distribution; (a) presented theory λ≠0,s≠0 (solid line), (b) Cheng and Thailer 3λ≠0,s=0 (dashed line), (c) experimental data of Vissat and Del Buono 6 (solid circles)

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