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TECHNICAL PAPERS

The Effect of Modeling Parameters on the Predicted Limit Loads for Pipe Bends Subjected to Out-of-Plane Moment Loading and Internal Pressure

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

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

J. Pressure Vessel Technol 122(4), 450-456 (Jul 24, 2000) (7 pages) doi:10.1115/1.1310334 History: Received May 01, 2000; Revised July 24, 2000
Copyright © 2000 by ASME
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References

Ohtsubo, H., and Watanabe, O., 1976, “Flexibility and Stress Factors of Pipe Bends—An Analysis by the Finite Ring Method,” Trans. ASME, Paper No. 76-PVP-40, pp. 1–10.
Mello,  R. M., and Griffin,  D. S., 1974, “Plastic Collapse Loads for Pipe Elbows Using Inelastic Analysis,” Trans. ASME, 96(J) , pp. 177–183.
Sobel, L. H., and Newman, S. Z., 1977, “Instability Analysis of Elbows in the Plastic Range,” Proc., 4th Structural Mechanics in Reactor Technology (SMiRT) Conference, Vol. L3, pp. 1–11.
Dhalla, A. K., 1980, “Plastic Collapse of a Piping Elbow: Effects of Finite Element Convergence and Residual Stresses,” Proc., 4th International Conference on Pressure Vessel Technology, The Institution of Mechanical Engineers, Vol. 11, pp. 243–249.
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., 1998, “Nonlinear Analysis and Plastic Deformation of Pipe Elbows Subjected to In-Plane Bending,” Int. J. Pressure Vessels Piping, 75, pp. 603–611.
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.
Shalaby,  M. A., and Younan,  M. Y. A., 1999, “Effect of Internal Pressure on Elastic-Plastic Behavior of Pipe Elbows Under In-Plane Bending Moments,” ASME J. Pressure Vessel Technol., 121, pp. 400–405.
ABAQUS/Standard Version 5.8, 1998, User’s Manual, Example Problems Manual, and Theory Manual, Hibbit, Karlsson and Sorensen Inc., Providence, RI.
Crisfield, M. A., 1991, Non-Linear Finite Element Analysis of Solids and Structures, Wiley, New York, NY.
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.
Greenstreet, W. L., 1978, The Experimental Study of Plastic Responses of Pipe Elbows, ORNL/NUREG-24 Report, Contract No. W-7405-eng-26.
Rodabaugh,  E. C., 1979, “Interpretive Report on Limit Analysis and Plastic Behavior of Piping Products,” Weld. Res. Counc. (WRC) Bull., 254, pp. 65–82.
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.

Figures

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Stress-strain curves of perfectly plastic and strain-hardening materials
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Load-deflection curve for an elbow with h=0.0632, obtained using two different stabilization methods, P=400 psi
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Computed load-deflection curves, compared to the response measured by Greenstreet 14 using dial indicator D1 in his Test PE-3
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Computed load-deflection curves, compared to the response measured by Greenstreet 14 using dial indicator D2 in his Test PE-3
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Computed load-strain curves (connected elbow), compared to the response measured by Greenstreet 14 using strain gage SG01 (hoop strain) in his Test PE-3
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Computed load-strain curves (standalone elbow) compared to the response measured by Greenstreet 14 using strain gage SG01 (hoop strain) in his Test PE-3
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Load-deflection curves, large-displacement analysis, elastic-perfectly plastic material, pressure range: 0∼800 psi
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Variation of limit moments with internal pressure, large-displacement analysis, elastic-perfectly plastic material
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Load-deflection curves, small and large-displacement analyses, elastic-perfectly plastic material, no pressure
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Load-deflection curves, small-displacement analysis, elastic-perfectly plastic material, pressure range: 0∼2000 psi
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Variation of limit moments with internal pressure, small-displacement analysis, elastic-perfectly plastic material
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Load-deflection curves, large-displacement analysis, elastic-perfectly plastic and strain-hardening materials, no pressure
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Load-deflection curves, large-displacement analysis, strain-hardening material, pressure range: 0∼1200 psi
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Variation of limit moments with internal pressure, large-displacement analysis, strain-hardening material
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Load-deflection curves, small-displacement analysis, elastic-perfectly plastic and strain-hardening materials, no pressure
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Load-deflection curves, small and large-displacement analyses, strain-hardening material, no pressure
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Load-deflection curves, small-displacement analysis, strain-hardening material, pressure range: 0∼2200 psi
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Variation of limit (collapse) moment with internal pressure, small-displacement analysis, strain-hardening material
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Variation of instability moment with bend factor, comparison between finite element results and analytical limit loads, no pressure

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