A large throughwall circumferential crack in an elbow subjected to in-plane bending moment can significantly reduce its collapse load. Therefore, it is very important to know the collapse moment of an elbow in the presence of a throughwall circumferential crack. The existing closed-form collapse moment equations of throughwall circumferentially cracked elbows are either too conservative or inadequate to correctly quantify the weakening effect due to the presence of the crack, especially for opening mode of bending moment. Therefore, the present study has been carried out to investigate through elastic-plastic finite element analysis the effect of a throughwall circumferential crack on the collapse moment of an elbow under in-plane bending moment. A total of 72 cases of elbows with various sizes of circumferential cracks (2θ=0–150 deg), different wall thickness (R/t=5–20), different elbow bend radii and two different bending modes, namely closing and opening have been considered in the analysis. Elastic-perfectly plastic stress-strain response of material has been assumed. Collapse moments have been evaluated from moment-end rotation curves by twice-elastic slope method. From these results, closed-form expressions have been proposed to evaluate collapse moments of elbows under closing and opening mode of bending moment. The predictions of these proposed equations have been compared with 8 published elbow test data and are found to be within ±11% variation except for one case.
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August 2004
Technical Papers
Closed-Form Collapse Moment Equations of Throughwall Circumferentially Cracked Elbows Subjected to In-Plane Bending Moment
J. Chattopadhyay,
e-mail: jchatt@apsara.barc.ernet.in
J. Chattopadhyay
Reactor Safety Division, Hall-7, Bhabha Atomic Research Center, Trombay, Mumbai—400085, India
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A. K. S. Tomar,
A. K. S. Tomar
Reactor Safety Division, Hall-7, Bhabha Atomic Research Center, Trombay, Mumbai—400085, India
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B. K. Dutta,
B. K. Dutta
Reactor Safety Division, Hall-7, Bhabha Atomic Research Center, Trombay, Mumbai—400085, India
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H. S. Kushwaha
H. S. Kushwaha
Reactor Safety Division, Hall-7, Bhabha Atomic Research Center, Trombay, Mumbai—400085, India
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J. Chattopadhyay
Reactor Safety Division, Hall-7, Bhabha Atomic Research Center, Trombay, Mumbai—400085, India
e-mail: jchatt@apsara.barc.ernet.in
A. K. S. Tomar
Reactor Safety Division, Hall-7, Bhabha Atomic Research Center, Trombay, Mumbai—400085, India
B. K. Dutta
Reactor Safety Division, Hall-7, Bhabha Atomic Research Center, Trombay, Mumbai—400085, India
H. S. Kushwaha
Reactor Safety Division, Hall-7, Bhabha Atomic Research Center, Trombay, Mumbai—400085, India
Contributed by the Pressure Vessels and Piping Division for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received by the PVP Division May 29, 2003; revision received April 1, 2004. Editor: S. Rahman.
J. Pressure Vessel Technol. Aug 2004, 126(3): 307-317 (11 pages)
Published Online: August 18, 2004
Article history
Received:
May 29, 2003
Revised:
April 1, 2004
Online:
August 18, 2004
Citation
Chattopadhyay, J., Tomar , A. K. S., Dutta , B. K., and Kushwaha, H. S. (August 18, 2004). "Closed-Form Collapse Moment Equations of Throughwall Circumferentially Cracked Elbows Subjected to In-Plane Bending Moment ." ASME. J. Pressure Vessel Technol. August 2004; 126(3): 307–317. https://doi.org/10.1115/1.1767177
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