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TECHNICAL PAPERS

Closed-Form Collapse Moment Equations of Elbows Under Combined Internal Pressure and In-Plane Bending Moment

[+] Author and Article Information
J. Chattopadhyay

Reactor Safety Division, Hall-7, Bhabha Atomic Research Centre, Trombay, Mumbai 400085, Maharastra, Indiae-mail: jchatt@apsara.barc.ernet.in

D. K. Nathani

Reactor Engineering Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400085, Maharastra, India

B. K. Dutta, H. S. Kushwaha

Reactor Safety Division, Hall-7, Bhabha Atomic Research Centre, Trombay, Mumbai 400085, Maharastra, India

J. Pressure Vessel Technol 122(4), 431-436 (Mar 07, 2000) (6 pages) doi:10.1115/1.1285988 History: Received August 03, 1999; Revised March 07, 2000
Copyright © 2000 by ASME
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References

Marcal,  P. V., 1967, “Elastic-Plastic Behavior of Pipe Bends With In-Plane Bending,” J. Strain Anal., 2, No. 1, pp. 84–90.
Spence, J., and Findlay, G. E., 1973, “Limit Load for Pipe Bends Under In-Plane Bending,” Proceedings of the 2nd International Conference on Pressure Vessel Technology, San Antonio, pp. 393–399.
Calladine,  C. R., 1974, “Limit Analysis of Curved Tubes,” J. Mech. Eng. Sci. Inst. Mech. Eng., 16, No. 2, pp. 85–87.
Goodall, I. W., 1978a, “Large Deformations in Plastically Deforming Curved Tubes Subjected to In-plane Bending,” Research Division Report RD/B/N4312, Central Electricity Generating Board, UK.
Goodall, I. W., 1978b, “Lower Bound Limit Analysis of Curved Tubes Loaded by Combined Internal Pressure and In-plane Bending Moment,” Research Division Report RD/B/N4360, Central Electricity Generating Board, UK.
Griffiths,  J. E., 1979, “The Effect of Cracks on the Limit Load of Pipe Bends Under In-Plane Bending: Experimental Study,” Int. J. Mech. Sci., 21, pp. 119–130.
Rodabaugh,  E. C., 1979, “Interpretive Report on Limit Load Analysis and Plastic Deformations of Piping Products,” Weld. Res. Counc. Bull., No. 254, 65–82.
Hilsenkpf,  P. , 1988, “Experimental Study of Behavior and Functional Capability of Ferritic Steel Elbows and Austenitic Stainless Steel Thin-Walled Elbows,” Int. J. Pres. Vessel and Piping, 33, No. 2, pp. 111–128.
Touboul, F., et al., 1989, “Design Criteria for Piping Components Against Plastic Collapse: Application to Pipe Bend Experiments,” Proceedings of 6th International Conference of Pressure Vessel Technology, Beijing, China, September 11–15, eds., Cengdian, Liu, and Nichols, pp. 73–84.
Kussmaul, K., et al., 1995, “Pipe Bend Behavior at Load Levels Beyond Design,” Proceedings of 13th International Conference on Structural Mechanics in Reactor Technology, SMiRT, G , Brazil, pp. 187–198.
Shalaby,  M. A., and Younan,  M. Y. A., 1998a, “Limit Loads for Pipe Elbows with Internal Pressure Under In-plane Closing Bending Moment,” ASME J. Pressure Vessel Technol., 120, pp. 35–42.
Shalaby, M. A., and Younan, M. Y. A., 1998b, “Limit Loads for Pipe Elbows Subjected to In-plane Opening Moment and Internal Pressure,” presented at the ASME/JSME Joint Pressure Vessels and Piping Conference Held at San Diego, CA, July 26–30, 1998, ASME PVP-Vol. 368, pp. 163–170.
Chattopadhyay, J., et al., 1999, “Limit Load of Elbows Under Combined Internal Pressure and Bending Moment,” Proceedings of the 15th International Conference on Structural Mechanics in Reactor Technology, SMiRT, V , Korea, pp. 281–288.
Drubay, B., et al., 1995, “A16: Guide for Defect Assessment and Leak-Before-Break Analysis,” Third Draft, Commissariat A L’energie Atomique, Rapport DMT 96.096, France.
NISA, 1997, A General Purpose Finite Element Program, Windows NT/95 Production Version, Engineering Mechanics Research Center, MI.

Figures

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Closing moment versus end rotation curves for elbow of 20 mm thickness subjected to different internal pressure
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Normalized closing collapse moments for various normalized internal pressures and elbow factors (symbols show the FE results and solid lines show predictions of closed-form Eq. (9))
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Normalized opening collapse moments for various normalized internal pressures and elbow factors (symbols show FE results and solid lines show predictions of closed-form Eq. (10))
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Variation of normalized collapse moment with elbow factor for different degree of internal pressure for closing case
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Effect of internal pressure on limit moments—a comparison
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The typical finite element mesh of an elbow
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Comparison of moment-end rotation curves between pure closing and opening mode of bending moment for elbow factors of 0.24 and 0.6

Tables

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