TECHNICAL PAPERS
Apr 1, 2005

Equivalent Uniform Moment Diagram Factor for Composite Columns in Major Axis Bending

Publication: Journal of Structural Engineering
Volume 131, Issue 4

Abstract

The ACI Building Code permits the use of the equivalent uniform bending moment diagram factor (Cm) for computing the effect of moment gradient, along the column height, caused by unequal column end moments. The concept of equivalent uniform moment diagram was introduced into design practice to eliminate the need for extensive calculations based on the solution to a differential equation. The expression currently used by the ACI Building Code is a simplified equation based on the elastic behavior of columns, and does not include the inelastic material behavior. This study was conducted to investigate the influence of different variables on Cm of slender, tied, rectangular composite columns in which steel shapes are encased in concrete and to examine existing expressions for Cm . Approximately, 11,000 square composite columns, each with a different combination of specified values of variables, were simulated. The columns studied were subjected to short-term ultimate loads and unequal end moments causing moment gradient in single curvature and double curvature bending about the major axis of the encased steel section. Two design Cm equations are proposed in this paper.

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References

American Concrete Institute (ACI Committee 318. (2002). “Building code requirements for structural concrete.” ACI 318-02 and “commentary.” ACI 318R-02, Farmington Hills, Mich.
American Institute of Steel Construction (AISC. (1999). “Load and resistance factor design specification for structural steel buildings.” Chicago, Ill., 292 pp.
Austin, W. J. (1961). “Strength and design of metal beam-columns.” J. Struct. Div. ASCE, 87(4), 1–32.
Chen, W. F., and Lui, E. M. (1987). Structural stability—Theory and implementation, Elsevier Science, New York.
Chen, W. F., and Lui, E. M. (1991). Stability design of steel frames, CRC, Boca Raton, Fl.
Duan, L., Sohal, I. S., and Chen, W. F. (1989). “On beam-column moment amplification factor.” Eng. J., 26(4), 130–135.
Galambos, T. V. (1963). “Inelastic lateral buckling of beams.” J. Struct. Div. ASCE, 89(5), 217–242.
Johnson, R. P., and May, I. M. (1978). “Tests on restrained composite columns.” Struct. Eng., 56B(2), 21–27.
Mirza, S. A. (1989). “Parametric study of composite column strength variability.” J. Constr. Steel Res., 14, 121–137.
Mirza, S. A. (1990). “Flexural stiffness of rectangular reinforced concrete columns.” ACI Struct. J., 87(4), 425–435.
Mirza, S. A., and MacGregor, J. G. (1982). “Probabilistic study of strength of reinforced concrete members.” Can. J. Civ. Eng., 9(3), 431–448.
Mirza, S. A., and Skrabek, B. W. (1991). “Reliability of short composite beam-column strength interaction.” J. Struct. Eng., 117(8), 2320–2239.
Mirza, S. A., and Skrabek, B. W. (1992). “Statistical analysis of slender composite beam-column strength.” J. Struct. Eng., 118(5), 1312–1332.
Morino, S., Matsui, C., and Watanabe, H. (1984). “Strength of biaxially loaded SRC columns.” Composite and mixed construction, American Society of Civil Engineers, New York, 241–253.
Newmark, N. M. (1943). “Numerical procedure for computing deflections, moments, and buckling loads.” Trans. Am. Soc. Civ. Eng., 108, 1161–1234.
Park, R., Priestly, M. J. N., and Gill, W. D. (1982). “Ductility of square-confined concrete columns.” J. Struct. Div. ASCE, 108(4), 929–950.
Procter, A. N. (1967). “Full size tests facilitate derivation of reliable design methods.” Consulting Eng., 31(8), 54–60.
Roik, K., and Mangerig, I. (1987). “Experimentelle Untersuchungen der Tragfähigkeit von einbetonierten Stahlprofil-stützen unter besonderer Berücksichtigung des Langzeit Verhaltens von Beton.” Bericht zu P102, Studiengesellschaft für Anwendungstechnik von Eisen und Stahl e.V., Düsseldorf, Germany, 83 pp.
Roik, K. H., and Schwalbenhofer, K. (1988). “Experimentelle Untersuchungen zum plastischen Verhalten von Verbundstützen.” Bericht zu P125, Studiengesellschaft für Anwendungstechnik von Eisen und Stahl e.V., Düsseldorf, Germany, 196 pp.
Suzuki, T., Takiguchi, K., Ichinose, T., and Okamoto, T. (1984). “Effects of hoop reinforcement in steel and reinforced concrete composite sections.” Proc., 3rd South Pacific Regional Conf. on Earthquake Engineering, Wellington, New Zealand, 198–214.
Tikka, T. K., and Mirza, S. A. (2004). “Equivalent uniform moment diagram factor for reinforced concrete columns.” ACI Struct. J., 101(4), 521–531.
Trahair, N. S. (1985). “Design strength of steel beam-columns.” Structural Engineering Rep. No. 132, Dept. of Civil Engineering, The Univ. of Alberta, Edmonton, Alberta, Canada.
Young, B. W. (1971). “Residual stresses in hot rolled sections.” Rep. No. CUED/C-Struct/TR.8, Dept. of Engineering, Univ. of Cambridge, London.

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Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 131Issue 4April 2005
Pages: 569 - 581

History

Received: Aug 4, 2003
Accepted: Jun 10, 2004
Published online: Apr 1, 2005
Published in print: Apr 2005

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Notes

Note. Associate Editor: Jose I. Restrepo

Authors

Affiliations

Timo K. Tikka, M.ASCE
Assistant Professor, Dept. of Civil Engineering, Lakehead Univ., Thunder Bay, Ontario, Canada P7B 5E1.
S. Ali Mirza, F.ASCE
Professor Emeritus, Dept. of Civil Engineering, Lakehead Univ., Thunder Bay, Ontario, Canada P7B 5E1.

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