Plastic Interaction Relations for Pipe Sections
Publication: Journal of Engineering Mechanics
Volume 128, Issue 1
Abstract
General interaction relations for pipe sections subjected to combinations of normal forces, internal or external pressure, twisting moments, biaxial bending moments, and biaxial shearing forces are developed. The derivations are based on the fully plastic capacity of the pipe as determined by the maximum distortional energy density yield criterion. Close form interaction relations are obtained for general load combinations and an accurate approximation is proposed. Previously established interaction relations for bending moments, axial forces and internal pressure are recovered as a special case of the general solution. The developments are expressed as universal nondimensional relationships suitable for limit states design. Consideration is given to the limits of applicability of the interaction relations and a systematic design procedure is proposed based on the interaction relations obtained and their limits of applicability. The relations are applicable in the design of elevated pipes, submerged pipes, supports of offshore platforms, and tubular structural steel members.
Get full access to this article
View all available purchase options and get full access to this article.
References
AISC. (1994). Load and resistance factor design specification for structural steel buildings, American Institute of Steel Construction, Chicago.
Boresi, A., and Sidebottom, O. (1985). Advanced mechanics of materials, 4th Ed., Wiley, New York.
Bruneau, M., Uang, C., and Whittaker, A. (1998). Ductile design of steel structures, McGraw-Hill, New York.
CAN/CSA S16.1. (1994). “Limit states design of steel structures.” Canadian Standards Association, Rexdale, Ont.
CAN/CSA Z662. (1996). “Oil and gas pipeline systems.” Canadian Standards Association, Rexdale, Ont.
DNV. (1996). Rules for submarine pipelines, Det Norske Veritas, Oslo, Norway.
Gerald, G., and Becker, H. (1957). “Handbook of structural stability, part III—buckling of curved plates and shell.” Tech. Note No. 3783, National Advisory Committee for Aeronautics.
Goto, Y., and Zhang, C.(1999). “Plastic buckling transition modes in moderately thick cylindrical shells.” J. Eng. Mech., 125(4), 426–434.
Hodge, Ph. G. (1981). Plastic analysis of structures, Krieger, Malabar, Fla.
Hu, S. Z., Prion, H. G. L., and Birkemoe, P. C.(1993). “Influence of imperfections on the strength of unstiffened, fabricated, tubular beam-columns.” J. Constr. Steel Res., 25(1), 43–61.
Karamanos, S., and Tassoulas, J.(1995). “Tension effects on pressure capacity of tubular members.” J. Struct. Eng., 121(6), 955–963.
Mohareb, M., Alexander, S. D. B., Kulak, G. L., and Murray, D. W. (1993). “Laboratory testing of line pipe to determine deformational behavior.” Proc., 12th Int. Conf. on Offshore Mechanics and Arctic Engineering, Pipeline Technology, Glasgow, Scotland, 109–114.
Mohareb, M., Elwi, A. E., Kulak, G. L., and Murray, D. W. (1994). “Deformational Behaviour of Line Pipe.” Structural Engineering Rep. No. 202, Dept. of Civil Engineering, Univ. of Alberta, Edmonton, Alberta, Canada.
Mohareb, M., Kulak, G., Elwi, A., and Murray, D. W. (2001). “Testing and analysis of steel pipe segments.” J. Transp. Eng. in press.
Mohareb, M., and Murray, D. W.(1999). “Mobilization of fully plastic moment capacity for pressurized pipes subjected to axial loading.” ASME J. Offshore Mech. Arct. Eng., 121(4), 237–241.
Ramberg, W., and Osgood, W. B. (1943). “Description of stress-strain curves by three parameters.” Tech. Note 902, National Advisory Committee for Aeronautics, Washington, D. C.
Schilling, C. G.(1965). “Buckling strength of circular tubes.” ASCE J. Struct. Div., 91(5), 325–349.
Stewart, G., Klever, F., and Ritchie, D. (1994). “An analytical model to predict the burst capacity of pipelines.” Proc., 13th Int. Conf. on Offshore Mechanics and Arctic Engineering, Pipeline Technology, Houston, Vol. V, 177–188.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 128 • Issue 1 • January 2002
Pages: 112 - 120
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: May 19, 2000
Accepted: Jun 7, 2001
Published online: Jan 1, 2002
Published in print: Jan 2002
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.