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TECHNICAL PAPERS

Bending Moment Capacity of Pipes

[+] Author and Article Information
So̸ren R. Hauch, Yong Bai

American Bureau of Shipping, Offshore Technology Department, Houston, TX 77060-6008

J. Offshore Mech. Arct. Eng 122(4), 243-252 (May 12, 2000) (10 pages) doi:10.1115/1.1314866 History: Received January 01, 1999; Revised May 12, 2000
Copyright © 2000 by ASME
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References

Murphey, C. E., and Langner C. G., 1985, “Ultimate Pipe Strength Under Bending, Collapse and Fatigue,” Proc., Offshore Mechanics and Arctic Engineering.
Winter, P. E., Stark, J. W. B., and Witteveen, J., 1985, “Collapse Behavior of Submarine Pipelines,” Shell Structures Stability and Strength, Elsevier Applied Science Publishers, Chap. 7.
Ellinas,  C. P., Raven,  P. W. J., Walker,  A. C., and Davies,  P., 1986, “Limit State Philosophy in Pipeline Design,” ASME J. Energy Resour. Technol., 108, pp. 9–22.
Mohareb,  M. E., Elwi,  A. E., Kulak,  G. L., and Murray,  D. W., 1994, “Deformational Behavior of Line Pipe,” Structural Engineering Report No. 202, University of Alberta, Canada.
Bai,  Y., Igland,  R., and Moan,  T., 1993, “Tube Collapse Under Combined Pressure, Tension and Bending,” International Journal of Offshore and Polar Engineering,3, No. 2, pp. 121–129.
Bai,  Y., Igland,  R., and Moan,  T., 1997, “Tube Collapse under Combined External Pressure, Tension and Bending,” J. Marine Structures, 10, No. 5, pp. 389–410.
Galambos, T. V., 1998, Guide to Stability Design Criteria for Metal Structures, John Wiley & Sons, New York, NY.
Mohareb,  M. E., and Murray,  D. W., 1999, “Mobilization of Fully Plastic Moment Capacity for Pressurized Pipes,” ASME J. Offshore Mech. Arct. Eng., 121, pp. 237–241.
SUPERB, 1996, “Buckling and Collapse Limit State” Joint industry project, SINTEF Report STF 22 F96741, Dec.
Timoshenko, S. P., and Gere, J. M., 1961, Theory of Elastic Stability, 3rd Ed., McGraw-Hill International Book Company, New York, NY.
Haagsma, S. C., and Schaap, D., 1981, “Collapse Resistance of Submarine Lines Studied,” Oil & Gas Journal, Feb., pp. 86–95.
DNV (2000), Offshore Standard OS-F101, Submarine Pipeline Systems, Det Norske Veritas, Veritasveien 1, N-1322 Hövik, Norway, Jan.
API (1998), “Design, Construction, Operation and Maintenance of Offshore Hydrocarbon Pipelines (Limit State Design).” American Petroleum Institute, 1220 L Street, NW Washington, DC 20005-4070.
Corona,  E., and Kyriakides,  S., 1988, “On the Collapse of Inelastic Tubes Under Combined Bending and Pressure,” Int. J. Solids Struct., 24, No. 5, pp. 505–535.
Chen, W. F., and Sohal, I. S., 1998, “Cylindrical Members In Offshore Structures,” Thin-Walled Structures, Vol. 6, Special Issue on Offshore Structures, Elsevier Applied Science.
Bruschi, R. Monti, P., Bolzoni, G., and Tagliaferri, R., 1995, “Finite Element Method as Numerical Laboratory for Analysing Pipeline Response Under Internal Pressure, Axial Load, Bending Moment,” Proc. Offshore Mechanics and Arctic Engineering.
Hauch, S., and Bai, Y., 1998, “Use of Finite Element Analysis for Local Buckling Design of Pipelines,” Proc. Offshore Mechanics and Arctic Engineering.
ISO/FDIS 13847, 1999, “Petroleum and Natural Gas Industries—Pipelines Transportation Systems—Welding of Pipelines,” Draft Version issued Nov.

Figures

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Examples of bending moment versus curvature relation
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Pipe cross-sectional deformation of pipes subjected to single loads
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Pipe cross section with stress distribution diagram (dashed line) and idealized stress diagram for plastified cross section (full line)
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Model example of buckled/collapsed pipe section
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Moment capacity as a function of diameter over wall thickness for a pipe subjected to pure bending
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Limit bending moment surface as a function of pressure and longitudinal force
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Normalized bending moment capacity as a function of pressure. No longitudinal force is applied.
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Normalized bending moment capacity as a function of longitudinal force. Pressure equal to zero.
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Normalized bending moment capacity as a function of longitudinal force. Pressure equal to 0.8 times Haagsma’s collapse pressure, Eq. (5).
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Limit longitudinal force as a function of diameter over wall thickness for a pipe subjected to pure tensile force
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Collapse pressure as a function of diameter over wall thickness for a pipe subjected to pure external overpressure. Initial out-of-roundness f0 equal to 1.5 percent.
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Limit bending moment surface as a function of pressure and longitudinal force including cross sections for which comparison between analytical solution and results from finite element analyses has been performed
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Normalized bending moment capacity as a function of longitudinal force. Pressure equal to 0.9 times the plastic buckling pressure, Eq. (4).
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Bursting pressure as a function of diameter over wall thickness for a pipe subjected to pure internal overpressure

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