TECHNICAL PAPERS
Aug 1, 1987

Cm Factor in Load and Resistance Factor Design

Publication: Journal of Structural Engineering
Volume 113, Issue 8

Abstract

The linear approximate expression for the Cm factor used in the American Institute of Steel Construction's 1986 load and resistance factor design specification is derived on the basis of an in‐plane elastic beam‐column analysis. This expression is assumed to be conservative for the design of beamcolumns in the inelastic range, in plane and in space. In this paper, the validity of these assumptions is examined closely for box‐ and I‐shaped cross sections under uniaxial and biaxial loading conditions. It is found that the linear expression Cm=0.6-0.4(M1/M2) without the condition Cm0.4 is valid for beamcolumns in plane and in space, and provides a close approximation to the exact results based on the inelastic analysis of an imperfect beam‐column, just as that based on the elastic analysis does.

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References

1.
American Institute of Steel Construction, “Load and Resistance Factor Design Specification for Structural Steel Buildings,” AISC, Chicago, Ill., Nov., 1986.
2.
Chen, W. F., and Zhou, S. P., “Design of Beam‐Columns with ASD and LRFD,” Engineering Structures, Butterworths, Surrey, England, Vol. 9, 1987.
3.
Chen, W. F., and Lui, E. M, Structural Stability—Theory and Implementation, Elsevier, New York, N.Y., 1987.
4.
Cuk, P. E., Bradford, M. A., and Trahair, N. S., “Inelastic Lateral Buckling of Steel Beam‐Columns,” Structural Engineering Report No. 13, Dept. of Civil Engineering, The University of Alberta, Edmonton, Alberta, Canada, Dec., 1985.
5.
Johnston, B. G., Ed., Guide to Stability Design Criteria for Metal Structures, 3rd ed., Wiley, New York, N.Y., 1976.
6.
Matthey, P.‐A., “Simulation Numerique de Comportement des Poutres‐Colonn Metalliques,” ICOM‐Construction Metalique GCB, (Ecublens) 1015 Lausanne, Nov., 1984, (Unpublished).
7.
Matthey, P.‐A., “Comportement des Poutres‐Colonnes Metalliques en Double Te,” thesis, presented to Ecole Polytechnique Federale de Lausanne, in Lausanne, Switzerland, in 1985, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
Salmon, C. G., and Johnson, J. E., Steel Structures, Design and Behavior, 2nd ed., Harper & Row, New York, N.Y., 1971.
9.
Trahair, N. S., “Design Strength of Steel Beam‐Columns” Structural Engineering Report No. 132, Dept. of Civil Engineering, The University of Alberta, Edmonton, Alberta, Canada, Dec., 1985.
10.
Zhou, S. P., and Chen, W. F., “Design Criteria for Box Columns Under Biaxial Loading,” Journal of Structural Engineering, ASCE, Vol. 111, No. 12, Dec., 1985, pp. 2643–2658.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 8August 1987
Pages: 1738 - 1754

History

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

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Authors

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Wai‐Fah Chen, M. ASCE
Prof. and Head, Dept. of Struct. Engrg., School of Civ. Engrg., Purdue Univ., West Lafayette, IN 47907
Suiping Zhou
Visiting Scholar, School of Civ. Engrg., Purdue Univ., West Lafayette, IN 47907

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