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TECHNICAL PAPERS

Limit-Load Analysis of Pipe Bends Under Out-of-Plane Moment Loading and Internal Pressure

[+] Author and Article Information
Hashem M. Mourad, Maher Y. A. Younan

The American University in Cairo, Mechanical Engineering Department, Cairo 11511, Egypt

J. Pressure Vessel Technol 124(1), 32-37 (Mar 23, 2001) (6 pages) doi:10.1115/1.1425807 History: Received March 23, 2001; Revised March 23, 2001
Copyright © 2002 by ASME
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References

Gross,  N., 1952–1953, “Experiments on Short-Radius Pipe Bends,” Proc. Inst. Mech. Eng., 1(B) , pp. 465–479.
Marcal,  P. V., and Turner,  C. E., 1961, “Elastic Solution in the Limit Analysis of Shells of Revolution with Special Reference to Expansion Bellows.” J. Mech. Eng. Sci., 3, No. 3, pp. 252–257.
Marcal,  P. V., 1967, “Elastic-Plastic Behaviour of Pipe Bends with In-Plane Bending.” J. Strain Anal., 2, No. 1, p. 84.
Bolt, S. E., and Greenstreet, W. L., 1971, “Experimental Determinations of Plastic Collapse Loads for Pipe Elbows.” ASME Paper No. 71-PVP-37.
Greenstreet, W. L., 1978, Experimental Study of Plastic Responses of Pipe Elbows, ORNL/NUREG-24 Report, Contract No. W-7405-eng-26.
Spence, J., and Findlay, G. E., 1973, “Limit Loads for Pipe Bends under In-Plane Bending,” Proc. 2nd International Conference on Pressure Vessel Technology, I-28, ASME, New York, NY.
Spence, J., 1973, “Creep Analysis of Smooth Curved Pipes under In-Plane Bending.” J. Mech. Eng. Sci. .
Roadabaugh,  E. C., 1979 “Interpretive Report on Limit Analysis and Plastic Behavior of Piping Products,” Weld. Res. Counc. Bull., 254, pp. 65–82.
Kitching,  R., Zarrabi,  K., and Moore,  M. A., 1979, “Limit Moment for a Smooth Pipe Bend Under In-Plane Bending.” Int. J. Mech. Sci., 21, pp. 731–738.
Shalaby, M. A., 1996, Elastic-Plastic Behavior and Limit-Load Analysis of Pipe Elbows under In-Plane Bending and Internal Pressure, M.Sc. thesis, The American University in Cairo, Cairo, Egypt.
Shalaby,  M. A., and Younan,  M. Y. A., 1998, “Limit Loads for Pipe Elbows with Internal Pressure Under In-Plane Closing Bending Moments,” ASME J. Pressure Vessel Technol., 120, pp. 35–42.
Shalaby,  M. A., and Younan,  M. Y. A., 1999, “Limit Loads for Pipe Elbows Subjected to In-Plane Opening Bending Moments,” ASME J. Pressure Vessel Technol., , 121, pp. 17–23.
Sobel, L. H., and Newman, S. Z., 1979, Elastic-Plastic In-Plane Bending and Buckling of an Elbow: Comparison of Experimental and Simplified Analysis Results. Westinghouse Advanced Reactors Division, Report WARD-HT-94000-2.
Mourad, H. M., 1999, Elastic-Plastic Behavior and Limit Load Analysis of Pipe Bends Under Out-of-Plane Moment Loading and Internal Pressure, M.Sc. thesis, The American University in Cairo, Cairo, Egypt.
Mourad,  H. M., and Younan,  M. Y. A., 2000, “The Effect of Modeling Parameters on the Predicted Limit Loads for Pipe Bends Subjected to Out-of-Plane Moment Loading and Internal Pressure,” ASME J. Pressure Vessel Technol. 122, pp. 450–456.
Mourad,  H. M., and Younan,  M. Y. A., 2001, “Nonlinear Analysis of Pipe Bends Subjected to Out-of-Plane Moment Loading and Internal Pressure,” ASME J. Pressure Vessel Technol. 123, pp. 253–258.
ABAQUS/Standard Version 5.8, 1998, User’s Manual, Example Problems Manual, and Theory Manual, Hibbit, Karlsson and Sorensen Inc., Providence.
Gerdeen,  J. C., 1979, “A Critical Evaluation of Plastic Behavior Data and a Unified Definition of Plastic Collapse Loads for Pressure Components,” Weld. Res. Counc. Bull., 254, pp. 3–64.
ASME Boiler and Pressure Vessel Code, 1992, Section III, Division 1, “Nuclear Power Plant Components,” ASME, New York, NY.

Figures

Grahic Jump Location
Integration points around the section, and across the wall, where results are obtained
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Variation of moment with end-rotation for an elbow with h=0.1615,P=0 psi to P=800 psi
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Variation of moment with end-rotation for an elbow with h=0.1615,P=800 psi to P=1600 psi
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Variation of the limit moments with internal pressure, out-of-plane bending, h=0.1615
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Variation of the instability moment with internal pressure, out-of-plane bending
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Variation of the instability moment with internal pressure, out-of-plane bending
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Variation of the collapse moment with internal pressure, out-of-plane bending
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Variation of the collapse moment with internal pressure, out-of-plane bending
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Variation of the instability moment with internal pressure, in-plane bending (closing) 1011
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Variation of the instability moment with internal pressure, in-plane bending (closing) 1011
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Variation of the collapse moment with internal pressure, in-plane bending (closing) 1011
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Variation of the collapse moment with internal pressure, in-plane bending (closing) 1011
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Variation of the collapse moment with internal pressure, in-plane bending (opening) 1012
Grahic Jump Location
Variation of the collapse moment with internal pressure, in-plane bending (opening) 1012
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Variation of the limit moments with the pipe bend factor (h), out-of-plane loading, no internal pressure
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Variation of the limit moments with the pipe bend factor (h), out-of-plane loading, P=500 psi

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