Effects of Shear on the Elastic Lateral Torsional Buckling of Doubly Symmetric I-Beams
Publication: Journal of Structural Engineering
Volume 148, Issue 3
Abstract
The theoretical lateral-torsional buckling solutions for I-beams utilized in many design specifications may the overestimate lateral torsional buckling (LTB) resistance when significant shear is present due to web distortion. This paper investigates the effects of shear on the elastic LTB of doubly symmetric steel I-beams through computational models. A parametric study was conducted considering a range of geometric parameters and loading conditions commonly found in design applications in buildings and bridges. The results show that shear can have a substantial impact on the LTB resistance under many practical design circumstances. The impact of shear on LTB is more significant for sections with larger web slenderness ratios and smaller depth-to-flange width ratios. Postbuckling shear resistance does not significantly impact the reductions in LTB resistance due to shear. A practical design method that accounts for shear effects on the LTB behavior in stiffened and unstiffened beams was proposed and verified by comparison with computational solutions. Design examples demonstrating the proposed method are provided.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The first author would like to acknowledge the financial support provided by the China Scholarship Council (CSC) during his stay in the University of Texas at Austin (Grant No. 201906260170).
References
AASHTO. 1998. AASHTO LRFD bridge design specifications. Washington, DC: AASHTO.
AASHTO. 2020. AASHTO LRFD bridge design specifications. Washington, DC: AASHTO.
Abaqus. 2017. Abaqus/CAE user’s guide. Providence, RI: Dassault Systemes Simulia Corporation.
AISC. 1999. LRFD specification for structural steel buildings. Chicago: AISC.
AISC. 2016. Specification for structural steel buildings. Chicago: AISC.
Basler, K. 1961. “Strength of plate girders in combined bending and shear.” ASCE J. Struct. Div. 87 (7): 181–198. https://doi.org/10.1061/JSDEAG.0000698.
Bradford, M. A. 1985. “Distortional buckling of monosymmetric I-beams.” J. Constr. Steel Res. 5 (2): 123–136. https://doi.org/10.1016/0143-974X(85)90010-0.
Bradford, M. A. 1986. “Inelastic distortional buckling of I-beams.” Comput. Struct. 24 (6): 923–933. https://doi.org/10.1016/0045-7949(86)90300-7.
Bradford, M. A. 1992a. “Buckling of doubly-symmetric cantilevers with slender webs.” Eng. Struct. 14 (5): 327–334. https://doi.org/10.1016/0141-0296(92)90046-S.
Bradford, M. A. 1992b. “Lateral-distortional buckling of steel I—Section members.” J. Constr. Steel Res. 23 (1–3): 97–116. https://doi.org/10.1016/0143-974X(92)90038-G.
Bradford, M. 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).
Bradford, M. A., and N. S. Trahair. 1981. “Distortional buckling of I-beams.” J. Struct. Div. 107 (2): 355–370. https://doi.org/10.1061/JSDEAG.0005646.
CEN (European Committee for Standardization). 2006. Design of steel structures—Part 1-5: Plated structural elements. Eurocode 3. EN 1993-1-5:2006. Brussels, Belgium: CEN.
Daley, A. J., D. B. Davis, and D. W. White. 2017. “Shear strength of unstiffened steel I-section members.” J. Struct. Eng. 143 (3): 04016190. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001639.
Helwig, T. A., K. H. Frank, and J. A. Yura. 1997. “Lateral-torsional buckling of singly symmetric I-beams.” J. Struct. Eng. 123 (9): 1172–1179. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:9(1172).
Herzog, M. A. M. 1974. “Ultimate static strength of plate girders.” J. Struct. Div. 100 (5): 849–864. https://doi.org/10.1061/JSDEAG.0003789.
Lee, S. C., D. S. Lee, and C. H. Yoo. 2013. “Flexure and shear interaction in steel I-girders.” J. Struct. Eng. 139 (11): 1882–1894. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000746.
Moore, K. S. 1995. “Strength of singly symmetric steel beams with non-compact and slender compression elements.” M.S. thesis, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin.
Reichenbach, M. C., Y. Liu, T. A. Helwig, and M. D. Engelhardt. 2020. “Lateral-torsional buckling of singly symmetric I-girders with stepped flanges.” J. Struct. Eng. 146 (10): 04020203. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002780.
Shokouhian, M., Y. Shi, and M. Head. 2016. “Interactive buckling failure modes of hybrid steel flexural members.” Eng. Struct. 125 (Oct): 153–166. https://doi.org/10.1016/j.engstruct.2016.07.001.
Sinur, F., and D. Beg. 2013. “Moment-shear interaction of stiffened plate girders—Numerical study and reliability analysis.” J. Constr. Steel Res. 88 (Sep): 231–243. https://doi.org/10.1016/j.jcsr.2013.05.016.
Stith, J., A. Schuh, J. Farris, B. Petruzzi, T. Helwig, E. Williamson, K. Frank, M. Engelhardt, and H. J. Kim. 2010. Guidance for erection and construction of curved I-girder bridges. Washington, DC: USDOT.
Studer, R. P., C. D. Binion, and D. B. Davis. 2015. “Shear strength of tapered I-shaped steel members.” J. Constr. Steel Res. 112 (Sep): 167–174. https://doi.org/10.1016/j.jcsr.2015.04.013.
Timoshenko, S. P., and J. M. Gere. 1961. Theory of elastic stability. New York: McGraw-Hill.
White, D. W., and M. G. Barker. 2008. “Shear resistance of transversely stiffened steel I-girders.” J. Struct. Eng. 134 (9): 1425–1436. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:9(1425).
White, D. W., M. G. Barker, and A. Azizinamini. 2008. “Shear strength and moment-shear Interaction in transversely stiffened steel I-girders.” J. Struct. Eng. 134 (9): 1437–1449. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:9(1437).
White, D. W., and S. K. Jung. 2007. “Effect of web distortion on the buckling strength of noncomposite discretely-braced steel I-section members.” Eng. Struct. 29 (8): 1872–1888. https://doi.org/10.1016/j.engstruct.2006.09.020.
Winter, G. 1943. “Lateral stability of unsymmetrical I-beams and trusses in bending.” Trans. Am. Soc. Civil Eng. 108 (1): 1851–1864. https://doi.org/10.1061/TACEAT.0005677.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 148 • Issue 3 • March 2022
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Aug 6, 2021
Accepted: Nov 8, 2021
Published online: Dec 29, 2021
Published in print: Mar 1, 2022
Discussion open until: May 29, 2022
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
Cited by
- Sheldon C. Twizell, Xiao Lin “Dimple” Ji, Ali Imanpour, Robert G. Driver, Lateral–Torsional and Distortional Buckling of I-Shaped Welded Steel Girders, Journal of Structural Engineering, 10.1061/JSENDH.STENG-11961, 149, 9, (2023).
- Matthew Phillips, Ajit M. Kamath, Ryan J. Sherman, Donald W. White, Influence of web distortion and onset of yield on doubly symmetric built-up I-girders subjected to high moment gradient, Thin-Walled Structures, 10.1016/j.tws.2023.110545, 185, (110545), (2023).
- Ryan Slein, Ajit M. Kamath, Matthew Phillips, Ryan J. Sherman, David W. Scott, Donald W. White, Experimental and analytical assessment of LTB resistance of built-up steel I-section members, Journal of Constructional Steel Research, 10.1016/j.jcsr.2022.107771, 204, (107771), (2023).