TECHNICAL PAPERS
Apr 1, 1987

Local and Overall Buckling in Thin‐Walled Beams and Columns

Publication: Journal of Structural Engineering
Volume 113, Issue 4

Abstract

The design of steel beams and columns must take into account overall instability (Euler, torsional, lateral‐torsional buckling, etc.), and also, if the section is made up of thin plate elements, the instability of the component plates in the form of local plate buckling. The possible interaction of these two modes of buckling, and its effect on member stability and strength, is therefore of interest. A tool has been developed for this type of analysis by adapting a finite element for a thin‐walled beam‐column of arbitrary cross section to include “local” degrees of freedom, allowing cross‐sectional distortion. The formulation involves geometric nonlinearities due to large displacements and rotations, but material behavior is limited to the elastic case.

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References

1.
Bathe, K.‐J. (1982). Finite element procedures in engineering analysis. Prentice‐Hall, Englewood Cliffs, N.J.
2.
Fukumoto, Y., and Kubo, M. (1982). “Buckling in steel U‐shaped beams.” J. Struct. Div., ASCE, 108(ST5), 1174–1190.
3.
Graves‐Smith, T. R., and Sidharan, S. (1979). “Elastic collapse of thin‐walled columns.” Thin‐walled structures, Conference proceedings, Glasgow, Apr., 718–730.
4.
Johnston, B., Ed. (1976). Guide to stability design criteria. 3rd ed., Wiley, New York, N.Y.
5.
Osterrieder, P. (1983). “Traglastberechnung von räumlichen Stabtragwerken bei grossen Verformungen mit finiten Elementen,” thesis presented to the Institut für Baustatik der Universität Stuttgart, at Stuttgart, West Germany, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
6.
Rajasekaran, S., and Murray, D. W. (1973). “Coupled local buckling in wide flange beam columns.” J. Struct. Div., ASCE, 99(ST6), 1003–1023.
7.
Toneff, J. D. (1986). “Local and overall buckling of thin‐walled beams and columns using finite elements,” thesis presented to the University of British Columbia, at Vancouver, B.C., Canada, in partial fulfillment of the requirements for the degree of Master of Science.
8.
Wang, S. T., and Pao, H. Y. (1980). “Torsional‐flexural buckling of locally buckled columns.” Computers and structures, 11, 127–136.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 4April 1987
Pages: 769 - 786

History

Published online: Apr 1, 1987
Published in print: Apr 1987

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J. D. Toneff
Research Assoc., Univ. of British Columbia, Vancouver, British Columbia, Canada
S. F. Stiemer
Assoc. Prof., Dept. of Civ. Engrg., Univ. of British Columbia, Vancouver, British Columbia, Canada, V6T 1W5
P. Osterreder
Akademischer Rat, Univ. of Stuttgart, Stuttgart, Federal Republic of Germany

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