Technical Papers
Mar 22, 2016

Effects of Geometric Imperfections on Flexural Buckling Resistance of Laterally Braced Columns

Publication: Journal of Structural Engineering
Volume 142, Issue 9

Abstract

This paper deals with the effects of geometric imperfections on flexural inelastic buckling resistance of axially loaded columns with equally spaced lateral braces and presents a simplified way of forming the critical geometric imperfection for finite-element analyses, which leads to rational results for buckling resistances. First, laterally braced columns with geometric imperfections formed by the traditional single half sine wave or the eigenbuckling modes were analyzed by FEM to illustrate the effect of different imperfection shapes. Second, geometric imperfections of columns acquired from measurements in laboratory tests were adopted, and the statistical characteristic and probability distribution of initial deflections along the column length were obtained; then, extensive numerical results from finite-element analyses were obtained through random imperfection simulations. Last, the comparison was made between statistical results based on the random imperfections and those based on eigenbuckling modes to propose a critical geometric imperfection shape as a linear superposition of a limited number of scaled eigenbuckling modes, making it possible to obtain a rational buckling resistance result by one-time analysis, which is safe but not too conservative. The commonly used lowest eigenbuckling mode or equivalent sine shape for initial geometric imperfections do not provide a rational prediction for the inelastic buckling resistance of laterally braced columns. The critical geometric imperfection shape presented in this paper can be used in advanced analysis for inelastic buckling resistance of braced columns.

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Acknowledgments

This work has been supported by the National Natural Science Foundation of China (Grant No. 51278273) and the China Postdoctoral Science Foundation (Grant No. 2012M5104 57) awarded to the first author.

References

ABAQUS [Computer software]. Dassault Systèmes, Waltham, MA.
ANSYS R13.0 [Computer software]. ANSYS, Canonsburg, PA.
Ban, H. Y. (2012). “Research on the overall buckling behavior and design method of high strength steel columns under axial compression.” Ph.D. thesis, Tsinghua Univ., Beijing (in Chinese).
Bažant, Z. P., and Cedolin, L. (2003). Stability of structures, Dover, Mineola, NY.
CEN (European Committee for Standardization). (2005). “Design of steel structures—Part 1.1. General rules and rules for buildings.” Brussels, Belgium.
Chan, S. L., Huang, H. Y., and Fang, L. X. (2005). “Advanced analysis of imperfect portal frames with semirigid base connections.” J. Eng. Mech., 131(6), 633–640.
Chandrangsu, T., and Rasmussen, K. J. R. (2011). “Investigation of geometric imperfections and joint stiffness of support scaffold systems.” J. Constr. Steel. Res., 67(4), 576–584.
Code of China. (2003). Code for design of steel structures, Planning Press, Beijing.
Elishakoff, I. (2000). “Uncertain buckling: Its past, present and future.” Int. J. Solids. Struct., 37(46–47), 6869–6889.
Foster, A. S. J., and Gardner, L. (2013). “Ultimate behaviour of steel beams with discrete lateral restraints.” Thin. Wall. Struct., 72, 88–101.
Galambos, T. V., and Surovek, A. E. (2008). Structural stability of steel: Concepts and applications for structural engineers, Wiley, Hoboken, NJ.
Gil, H., and Yura, J. A. (1999). “Bracing requirements of inelastic columns.” J. Constr. Steel. Res., 51(1), 1–19.
Helwig, T. A., and Yura, J. A. (1999). “Torsional bracing of columns.” J. Struct. Eng, 547–555.
Kala, Z. (2007). “Stability problems of steel structures in the presence of stochastic and fuzzy uncertainty.” Thin. Wall. Struct., 45(10–11), 861–865.
Kala, Z. (2011). “Sensitivity analysis of steel plane frames with initial imperfections.” Eng. Struct., 33(8), 2342–2349.
Kala, Z. (2012). “Geometrically non-linear finite element reliability analysis of steel plane frames with initial imperfections.” J. Civ. Eng. Manage., 18(1), 81–90.
MATLAB [Computer software]. MathWorks, Natick, MA.
McCann, F., Wadee, M. A., and Gardner, L. (2013). “Lateral stability of imperfect discretely braced steel beams.” J. Eng. Mech., 139(10), 1341–1349.
Mutton, B. R., and Trahair, N. S. (1973). “Stiffness requirements for lateral bracing.” J. Struct. Div., 99(10), 2167–2182.
Mutton, B. R., and Trahair, N. S. (1975). “Design requirements for column braces.” Civ. Eng. Trans., CE17(1), 30–35.
Nethercot, D. A., and Rockey, K. C. (1972). “The lateral buckling of beams having discrete intermediate restraints.” Struct. Eng., 50(10), 391–403.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill, New York.
Wang, L., and Helwig, T. A. (2005). “Critical imperfection for beam bracing systems.” J. Struct. Eng., 933–940.
Winter, G. (1960). “Lateral bracing of columns and beams.” Trans. Am. Soc. Civ. Eng., 125(1), 809–825.
Yura, J. A. (1996). “Winter’s bracing approach revisited.” Eng. Struct., 18(10), 821–825.
Zhang, H., Chandrangsu, T., and Rasmussen, K. J. R. (2010). “Probabilistic study of the strength of steel scaffold systems.” Struct. Saf., 32(6), 393–401.
Ziemian, R. D. (2010). Guide to stability design criteria for metal structures, 6th Ed., Wiley, New York.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 142Issue 9September 2016

History

Received: May 24, 2015
Accepted: Jan 5, 2016
Published online: Mar 22, 2016
Discussion open until: Aug 22, 2016
Published in print: Sep 1, 2016

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Authors

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Associate Professor, School of Civil Engineering, Beijing Jiaotong Univ., Beijing 100044, P.R. China; Beijing’s Key Laboratory of Structural Wind Engineering and Urban Wind Environment, Beijing 100044, P.R. China (corresponding author). E-mail: [email protected]
Yong-Lin Pi [email protected]
Professor, School of Civil and Environmental Engineering, Univ. of New South Wales, Sydney, NSW 2052, Australia. E-mail: [email protected]

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