TECHNICAL PAPERS
May 1, 1988

Elastic Buckling of Tapered Monosymmetric I‐Beams

Publication: Journal of Structural Engineering
Volume 114, Issue 5

Abstract

A finite‐element method of analysis is presented for the elastic flexural‐torsional buckling of non‐prismatic I‐section beam‐columns. The formulation presents a general approach to the problem, in which the coupling of torsion and bending is simplified by adopting the web mid‐height as an arbitrary axis of twist. By making this simplification, the formulation does not sutler from the restrictions of other solutions, such as the use of uniform elements and finite differences. Buckling stiffness and stability matrices are developed, and these may be readily included in existing finite‐element programs. The method is shown to be in good agreement with the more complex finite‐integral treatment, and its scope is demonstrated by application to the buckling of tapered cantilevers.

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References

1.
Barsoum, R. S., and Gallagher, R. H. (1970). “Finite element analysis of torsional and torsional‐flexural stability problems.” Int. J. Numer. Methods Eng., 2, 335–352.
2.
Brown, T. G. (1981). “Lateral torsional buckling of tapered I‐beams.” J. Struct. Div., ASCE, 107(ST4), 689–697.
3.
Cuk, P. E. (1984). “Flexural‐torsional buckling in frame structures,” thesis presented to the University of Sydney, at Sydney, Australia, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Hancock, G. J. (1984). “Structural buckling and vibration analyses on microcomputers.” Civ. Engrg. Trans., Institution of Engineers, Australia, CE26, 327–332.
5.
Hancock, G. J., and Trahair, N. S. (1978). “Finite element analysis of the lateral buckling of continuously restrained beam‐columns.” Civ. Engrg. Trans., Institution of Engineers, Australia, CE20, 120–127.
6.
Home, M. R., and Morris, L. J. (1977). “The design against lateral stability of haunched members restrained at intervals along the tension flange.” Proc. of Second International Colloquium on Stability, Washington, D.C., 618–629.
7.
Horne, M. R., Shakir‐Khalil, H., and Akhtar, S. (1979). “Stability of tapered and haunched members.” Proc. Inst. Civ. Engrg., London, U.K., 67, Part 2, 677–694.
8.
Kitipornchai, S., and Trahair, N. S. (1972). “Elastic stability of tapered I‐beams.” J. Struct. Div., ASCE, 98(ST3), 713–728.
9.
Kitipornchai, S., and Trahair, N. S. (1975). “Elastic behavior of tapered monosymmetric I‐beams.” J. Struct. Div., ASCE, 101(ST8), 1661–1678.
10.
Ku, A. B. (1979). “Buckling of non‐uniform columns.” Proc. of Third Engineering Mechanics Division Specialty Conference, ASCE, University of Texas, Austin, Tex., 240–243.
11.
Lee, G. C., Morrell, M. L., and Ketter, R. L. (1972). “Design of tapered members.” Bulletin No. 173, Welding Research Council.
12.
Morrell, M. L., and Lee, G. C. (1974). “Allowable stress for web tapered beams.” Bulletin No. 192, Welding Research Council.
13.
Nakane, K. (1984). “The design for instability of non‐uniform beams.” Proc.9th Australasian Conference on Mechanics of Structures and Materials, Sydney, Australia, 18–22.
14.
Nethercot, D. A. (1973). “Lateral buckling of tapered beams.” Publications, IABSE, 33‐II, 173–192.
15.
Nethercot, D. A. (1973). “The effective length of cantilevers as governed by lateral buckling.” Struct. Engr., 57(5), 161–168.
16.
O'Rourke, M. (1977). “Buckling loads for non‐uniform columns.” Comput. Struct., 7(6), 717–720.
17.
Powell, G., and Klinger, R. (1970). “Elastic lateral buckling of steel beams.” J. Struct. Div., ASCE, 96(ST9), 1919–1932
18.
Shiomi, H., and Kurata, M. (1984). “Strength formula for tapered beam‐columns.” J. Struct. Engrg., ASCE, 110(7), 1630–1643.
19.
Structural Stability Research Council. (1976). Guide to stability design criteria for metal structures. John Wiley and Sons, New York, N.Y.
20.
Taylor, J. C., Dwight, J. B., and Nethercot, D. A. (1974). “Buckling of beams and struts: proposals for a new British code.” Proc. Conference on Metal Structures and the Practicing Engineer, Melbourne, Australia, 27–31.
21.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. McGraw Hill, New York, N.Y.
22.
Vlasov, V. Z. (1961). Thin walled elastic beams. 2nd ed., Israel Program for Scientific Translation, Jerusalem, Israel.
23.
Wekezer, J. W. (1985). “Instability of thin walled bars.” J. Engrg. Mech., ASCE, 111(7), 923–935.
24.
Zienkiewicz, O. C. (1971). The finite element method in engineering science. McGraw Hill, New York, N.Y.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 114Issue 5May 1988
Pages: 977 - 996

History

Published online: May 1, 1988
Published in print: May 1988

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Authors

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Mark A. Bradford, Associate Member, ASCE
Lect. in Civ. Engrg., The Univ. of New South Wales, Kensington, NSW 2033, Australia
Peter E. Cuk
Assoc. Dir., Wargon Chapman Partners, Sydney, NSW 2000, Australia

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