Design Considerations for Distortional Lateral Buckling
Publication: Journal of Structural Engineering
Volume 147, Issue 12
Abstract
A finite-element formulation is presented for the elastic distortional buckling analysis of doubly symmetric wide flange beams. The formulation characterizes the distribution of the lateral displacement along the web height through Fourier modes and is equipped with features to capture the load height effect and to enforce user-defined kinematic constraints. The formulation is used to investigate the load height and bracing height effects and develop a database of over 20,000 runs on practical beam cross-sections to characterize (1) the reduction in critical moment capacity due to web distortion; and (2) the effect of a load height on the elastic critical moments. A novel indicator characterizing web distortion along the beam span is proposed and integrated within the finite-element formulation in a procedure devised to optimize the location of transverse stiffener(s) along beam spans so as to reduce cross-sectional distortion and maximize the elastic critical moment attainable. The procedure is then applied to optimize the design of beams in two case studies.
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Data Availability Statement
Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request. Tables containing the results of parametric studies are available online at https://doi.org/10.6084/m9.figshare.13646753.v1.
Acknowledgments
The authors gratefully acknowledge funding from the Natural Science and Engineering Research Council (NSERC) of Canada.
References
AISC (American Institute of Steel construction). 2016. Specification for structural steel buildings. ANSI/AISC 360-16. Chicago: AISC.
Albert, C., and J. L. Dawe. 1990. “Buckling of continuous steel girders with flange restraint.” Can. J. Civ. Eng. 17 (2): 121–128. https://doi.org/10.1139/l90-016.
Arizou, R. 2020. “Distortional lateral torsional buckling of doubly symmetric wide flange beams.” Master of Applied Science, Dept. of Civil Engineering, Faculty of Engineering, Univ. of Ottawa.
Belaid, T., F. Ammari, and R. Adman. 2018. “Influence of load position on critical lateral torsional buckling moment of laterally restrained beam at tense flange.” Asian J. Civ. Eng. 19 (7): 839–848. https://doi.org/10.1007/s42107-018-0067-7.
Bradford, M. A. 1988. “Buckling of elastically restrained beams with web distortions.” Thin-Walled Struct. 6 (4): 287–304. https://doi.org/10.1016/0263-8231(88)90005-5.
Bradford, M. A. 1992. “Lateral-distortional buckling of steel I—Section members.” J. Constr. Steel Res. 23 (1): 97–116. https://doi.org/10.1016/0143-974X(92)90038-G.
Bradford, M. A. 1999. “Elastic distortional buckling of tee-section cantilevers.” Thin-Walled Struct. 33 (1): 3–17. https://doi.org/10.1016/S0263-8231(98)00039-1.
Bradford, M. A., and H. R. Ronagh. 1997. “Generalized elastic buckling of restrained I-beams by FEM.” J. Struct. Eng. 123 (12): 1631–1637. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:12(1631).
Bradford, M. A., and N. S. Trahair. 1982. “Distortional buckling of thin-web beam-columns.” Eng. Struct. 4 (1): 2–10. https://doi.org/10.1016/0141-0296(82)90017-7.
Bradford, M. A., and N. S. Trahair. 1983. “Lateral stability of beams on seats.” J. Struct. Eng. 109 (9): 2212–2215. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:9(2212).
Bradford Mark, A., and Z. Gao. 1992. “Distortional buckling solutions for continuous composite beams.” J. Struct. Eng. 118 (1): 73–89. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:1(73).
Chen, S., and X. Wang. 2012. “Finite element analysis of distortional lateral buckling of continuous composite beams with transverse web stiffeners.” Adv. Struct. Eng. 15 (9): 1607–1616. https://doi.org/10.1260/1369-4332.15.9.1607.
CISC (Canadian Institute of Steel Construction). 2016. Handbook of steel construction. 11th ed. Markham, ON, Canada: CISC.
Hancock, G. J., and N. S. Trahair. 1978. “Finite element analysis of the lateral buckling of continuously restrained beam-columns.” Inst. Eng. Civ. Eng. Trans. 2: 120–127.
Hassan, R., and M. Mohareb. 2015. “Distortional lateral torsional buckling for simply supported beams with web cleats.” Can. J. Civ. Eng. 42 (12): 1091–1103. https://doi.org/10.1139/cjce-2015-0084.
Johnson, R., C. Fan, and Eurocode 4. 1991. “Distortional lateral buckling of continuous composite beams.” Proc. Inst. Civ. Eng. 91 (1): 131–161. https://doi.org/10.1680/iicep.1991.13586.
Khelil, A., and B. Larue. 2008. “Simple solutions for the flexural-torsional buckling of laterally restrained I-beams.” Eng. Struct. 30 (10): 2923–2934. https://doi.org/10.1016/j.engstruct.2008.03.017.
Kitipomchai, S., P. F. Dux, and N. J. Richter. 1984. “Buckling and bracing of cantilevers.” J. Struct. Eng. 110 (9): 2250–2262. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:9(2250).
Kubo, M., and Y. Fukumoto. 1988. “Lateral-torsional buckling of thin-walled I-beams.” J. Struct. Eng. 114 (4): 841–855. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:4(841).
Larue, B., A. Khelil, and M. Gueury. 2007. “Elastic flexural–torsional buckling of steel beams with rigid and continuous lateral restraints.” J. Constr. Steel Res. 63 (5): 692–708. https://doi.org/10.1016/j.jcsr.2006.07.004.
Lee, H. E., C. T. Nguyen, J. H. Moon, and H. S. Joo. 2011. “Lateral-torsional buckling of discretely-braced i-girder.” Procedia Eng. 14 (Jan): 264–271. https://doi.org/10.1016/j.proeng.2011.07.032.
McCann, F., L. Gardner, and M. A. Wadee. 2013a. “Design of steel beams with discrete lateral restraints.” J. Constr. Steel Res. 80 (Jan): 82–90. https://doi.org/10.1016/j.jcsr.2012.09.011.
McCann, F., A. Wadee, and L. Gardner. 2013b. “Lateral stability of discretely-braced steel beams.” J. Eng. Mech. 139 (10): 1341–1349. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000586.
Mohammadi, E., S. S. Hosseini, and J. AsgariMarnani. 2018. “An interactive solution for lateral-torsional buckling of the mono-symmetric beam-columns with discrete lateral bracings.” In Vol. 14 of Structures, 164–177. Amsterdam, Netherlands: Elsevier.
Mohammadi, E., S. S. Hosseini, and M. S. Rohanimanesh. 2016. “Elastic lateral-torsional buckling strength and torsional bracing stiffness requirement for monosymmetric I-beams.” Thin-Walled Struct. 104 (Jul): 116–125. https://doi.org/10.1016/j.tws.2016.03.003.
Ng, M. L.-H., and H. R. Ronagh. 2004. “An analytical solution for the elastic lateral-distortional buckling of I-section beams.” Adv. Struct. Eng. 7 (2): 189–200. https://doi.org/10.1260/1369433041211129.
Nguyen, C. T., H.-S. Joo, J. Moon, and H.-E. Lee. 2012. “Flexural-torsional buckling strength of I-girders with discrete torsional braces under various loading conditions.” Eng. Struct. 36 (Mar): 337–350. https://doi.org/10.1016/j.engstruct.2011.12.022.
Nguyen, C. T., J. Moon, V. N. Le, and H.-E. Lee. 2010. “Lateral–torsional buckling of I-girders with discrete torsional bracings.” J. Constr. Steel Res. 66 (2): 170–177. https://doi.org/10.1016/j.jcsr.2009.09.011.
Park, J. S., J. M. Stallings, and Y. J. Kang. 2004. “Lateral–torsional buckling of prismatic beams with continuous top-flange bracing.” J. Constr. Steel Res. 60 (2): 147–160. https://doi.org/10.1016/j.jcsr.2003.08.013.
Pezeshky, P., and M. Mohareb. 2018. “Distortional lateral torsional buckling of beam-columns including pre-buckling deformation effects.” Comput. Struct. 209 (Oct): 93–116. https://doi.org/10.1016/j.compstruc.2018.08.010.
Pezeshky, P., A. Sahraei, and M. Mohareb. 2017. “Effect of bracing height on lateral torsional buckling resistance of steel beams.” In Proc., 6th Int. Conf. on Engineering Mechanics and Materials CSCE. Montreal, QC, Canada: Canadian Society for Civil Engineering.
Pezeshky, P., A. Sahraei, and M. Mohareb. 2019. “Distortional lateral torsional buckling analysis of beams with overhangs.” J. Struct. Eng. 145 (3): 04018266. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002271.
Reddy, J. N. 2006. Theory and analysis of elastic plates and shells. Boca Raton, FL: CRC Press.
Samanta, A., and A. Kumar. 2008. “Distortional buckling in braced-cantilever I-beams.” Thin-Walled Struct. 46 (6): 637–645. https://doi.org/10.1016/j.tws.2007.12.004.
Schmidt, L. C. 1965. “A problem of elastic lateral stability.” Q. J. Mech. Appl. Math. 18 (4): 501–512. https://doi.org/10.1093/qjmam/18.4.501.
Trahair, N. S. 1979. “Elastic lateral buckling of continuously restrained beam columns.” In The profession of a civil engineer, edited by D. Campbell-Allen and E. H. Davis, 61–73. Sydney, Australia: Sydney Univ. Press.
Valentino, J., and N. S. Trahair. 1998. “Torsional restraint against elastic lateral buckling.” J. Struct. Eng. 124 (10): 1217–1225. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:10(1217).
Vrcelj, Z., and M. A. Bradford. 2006. “Elastic distortional buckling of continuously restrained I-section beam–columns.” J. Constr. Steel Res. 62 (3): 223–230. https://doi.org/10.1016/j.jcsr.2005.07.014.
Wang, C., K. Ang, and L. Wang. 1995. “Optimization of bracing and internal support locations for beams against lateral buckling.” Struct. Optim. 9 (1): 12–17. https://doi.org/10.1007/BF01742638.
Wang, C. M., S. Kitipornchai, and V. Thevendran. 1987. “Buckling of braced monosymmetric cantilevers.” Int. J. Mech. Sci. 29 (5): 321–337. https://doi.org/10.1016/0020-7403(87)90115-9.
Williams Fred, W., K. Jemah Adel, and H. Lam Diem. 1993. “Distortional buckling curves for composite beams.” J. Struct. Eng. 119 (7): 2134–2149. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:7(2134).
Yura, J. A. 2001. “Fundamentals of beam bracing.” Eng. J. Am. Inst. Steel Constr. 38 (1): 11–26.
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Published In
Journal of Structural Engineering
Volume 147 • Issue 12 • December 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Feb 4, 2021
Accepted: Jul 8, 2021
Published online: Sep 22, 2021
Published in print: Dec 1, 2021
Discussion open until: Feb 22, 2022
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