Technical Papers
May 18, 2015

Load Height and Moment Factors for Doubly Symmetric Wide Flange Beams

Publication: Journal of Structural Engineering
Volume 141, Issue 12

Abstract

An analytical procedure is used to study the effects of moment gradient and load height on the elastic stability of wide flange steel beams. Lateral torsional buckling is the limit state considered. Solutions are developed for a series of general moment functions which are produced by continuous load types with possible end moments. For each load type, an equivalent uniform moment factor is developed. Additionally, a load height factor is developed to modify the equivalent uniform moment factor for these load types where loading is applied above the shear center. Solutions are processed numerically using a Taylor series polynomial approximation. Results are presented in terms of an equivalent uniform moment factor and a load height factor. Comparison with national code procedures for moment factor show discrepancies that are conservative in some circumstances by up to 51% and unconservative in others by up to 8%. The largest discrepancies occur under the effect of reverse curvature bending and load position above the shear center. Results for load position show that members loaded above their shear center are more susceptible to lateral torsional buckling than those loaded at their shear center. Some design examples are presented using the load height factors developed.

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References

AISC. (2010). “Specification/commentary for structural steel buildings.”, Chicago.
Austin, W. J. (1961). “Strength and design of metal beam-columns.” J. Struct. Div., 87(ST4), 1–29.
Austin, W. J., Yegian, S., and Tung, T. P. (1956). “Lateral buckling of elastically end-restrained beams.” The steel skeleton, J. F. Pro-Baker, M. R. Horne, and J. Heyman, eds., Vol. II, Cambridge University Press, Cambridge, U.K.
Clark, J. W., and Hill, H. N. (1960). “Lateral buckling of beams.” J. Struct. Div., 86(ST7), 175–196.
Clark, J. W. and Jombock, J. R. (1957). “Lateral buckling of I-beams subjected to unequal end moments.” J. Eng. Mech. Div., 83.
Dumont, C. (1937). “The lateral stability of deep rectangular beams.”, National Advisory Committee for Aeronautics, New Kensington, PA.
Dumont, C., and Hill, H. N. (1940). “Lateral stability of equal flanged aluminum alloy I-beams subject to pure bending.”, National Advisory Committee for Aeronautics, New Kensington, PA.
Helwig, T., Frank, K., and Yura, J. (1997). “Lateral-torsional buckling of singly-symmetric I-beams.” J. Struct. Eng., 1172–1179.
Kirby, P. A., and Nethercot, D. A. (1979). Design for structural stability, Halsted, New York.
Kitipornchai, S., Wang, C. M., and Trahair, N. S. (1986). “Buckling of monosymmetric I-beams under moment gradient.” J. Struct. Eng., 781–799.
Nagle, R. K., Saff, E. B., and Snider, A. D. (2004). Fundamentals of differential equations, 6th Ed., Pearson, New York.
Nethercot, D. A., and Rockey, K. C. (1971). “A unified approach to the elastic lateral buckling of beams,” Struct. Eng., 49(7), 321–330.
Nethercot, D. A., and Trahair, N. S. (1976). “Lateral buckling approximations for elastic beams.” Struct. Eng., 54(6), 197–204.
Salvadori, M. G. (1955). “Lateral bucking of I-beams.” ASCE Trans., 120, 1165–1177.
Serna, M. A., Lopez, A., Puente, I., and Yong, D. J. (2006). “Equivalent uniform moment factors for lateral-torsional buckling of steel members.” J. Constr. Steel Res., 62(6), 566–580.
Suryoatmono, B., and Ho, D. (2002). “The moment gradient factor in lateral-torsional buckling on wide flange steel sections.” J. Constr. Steel Res., 58(9), 1247–1264.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, McGraw–Hill, New York.
Trahair, N. S. (1998). Flexural-torsional buckling of structures, Chapman and Hall, London.
Wang, Y. Q., Yuan, H. X., Shi, Y. J., and Cheng, M. (2012). “Lateral-torsional buckling resistance of aluminum I-beams.” Thin Walled Struct., 50(1), 24–36.
White, D. W., and Kim, Y. D. (2008). “Unified flexural resistance equations for stability design of steel I-section members: Moment gradient tests.” J. Struct. Eng., 1471–1486.
Wong, E., and Driver, R. G. (2010). “Critical evaluation of equivalent moment factor procedures for laterally unsupported beams.” AISC Eng. J., 47(1), 1–20.
Ziemian, R. D. (2010). Guide to stability design criteria for metal structures, Wiley, Hoboken, NJ.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 141Issue 12December 2015

History

Received: Nov 10, 2014
Accepted: Mar 24, 2015
Published online: May 18, 2015
Discussion open until: Oct 18, 2015
Published in print: Dec 1, 2015

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Authors

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Alexander W. Lamb [email protected]
Adjunct Professor of Civil and Environmental Engineering, Wayne State Univ., Detroit, MI 48202 (corresponding author). E-mail: [email protected]
Christopher D. Eamon [email protected]
Associate Professor of Civil and Environmental Engineering, Wayne State Univ., Detroit, MI 48202. E-mail: [email protected]

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