Technical Papers
Apr 25, 2023

Design Expressions for Elastic Lateral Torsional Buckling Capacity of I-Beams Strengthened While under Loading

Publication: Journal of Structural Engineering
Volume 149, Issue 7

Abstract

Starting from a recently developed variational principle for the lateral torsional buckling analysis of steel I-beams strengthened with cover plates, this study formulated an energy-based solution that quantifies the lateral torsional buckling resistance of simply supported strengthened I-beams. The solution captures the detrimental effect of loads that may act on the beam prior to strengthening through an interaction relation combining the prestrengthening and poststrengthening peak moments. Additionally, it captures the effects of moment gradient and load height for pre and poststrengthening loads, as well as prebuckling deformation effects through a series of design-oriented coefficients. A systematic comparison of the solution to finite-element analysis (FEA) predictions demonstrated its accuracy for a wide range of cross sections, strengthening plate geometries, spans, pre and poststrengthening load distributions, and load heights. The use of the proposed solution in typical strengthening design scenarios was illustrated through two examples. The simplicity of the solution compared with the FEA, the universality implied by its dimensionless format, and its predictive accuracy make it attractive in a design environment.

Get full access to this article

View all available purchase options and get full access to this article.

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.

Acknowledgments

The authors gratefully acknowledge scholarship support from the University of Ottawa to the first author and further research funding from the Natural Science and Engineering Research Council of Canada (NSERC) to the second author.

References

Andrade, A., and D. Camotim. 2004. “Lateral-torsional buckling of prismatic and tapered thin-walled open beams: Assessing the influence of pre-buckling deflections.” Steel Compos. Struct. 4 (4): 281–301. https://doi.org/10.12989/scs.2004.4.4.281.
ANSI (American Institute of Steel Construction). 2016. Specification for structural steel buildings. ANSI/AISC 360-16. Chicago: ANSI.
AS (Australian Standards). 2020. Steel structures. AS-4100. Sydney, NSW, Australia: AS.
Bazant, Z., and L. Cedolin. 2010. Stability of structures: Elastic, inelastic, fracture and damage theories. Singapore: World Scientific.
Bresser, D., G. J. P. Ravenshorst, and P. C. J. Hoogenboom. 2020. “General formulation of equivalent moment factor for elastic lateral torsional buckling of slender rectangular sections and I-sections.” Eng. Struct. 207 (Sep): 110230. https://doi.org/10.1016/j.engstruct.2020.110230.
CSA (Canadian Standards Association). 2019. Design of steel structures, Canada. CSA S16:19. Toronto: CSA.
Hsu, W. T., D. M. Lue, and Y. F. Chen. 2012. “Design aid for moment strength of built-up crane runway girders.” Int. J. Steel Struct. 12 (3): 403–417. https://doi.org/10.1007/s13296-012-3009-3.
Hsu, W. T., D. M. Lue, and B. T. Hsiao. 2009. “Numerical approach for torsion properties of built-up runway girders.” J. Appl. Sci. Eng. 12 (4): 381–389. https://doi.org/10.6180/jase.2009.12.4.02.
Iranpour, A., and M. Mohareb. 2022. “Elastic lateral torsional buckling resistance of beams strengthened with cover plates under pre-existing loads.” In Proc., CSCE 2022 Annual Conf., Structural Specialty. Whistler, BC, Canada: Canadian Society for Civil Engineering.
Iranpour, A., and M. Mohareb. 2023a. “Elastic lateral torsional buckling of I-beams strengthened while under loading.” J. Struct. Eng. 149 (1): 04022206. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003479.
Iranpour, A., and M. Mohareb. 2023b. “Lateral torsional buckling for strengthened I-beams (version 01) (Python-based computer app).” Accessed April 1, 2023. https://uottawa-my.sharepoint.com/personal/mmohareb_uottawa_ca/_layouts/15/guestaccess.aspx?folderid=02ed59f2628fa49a0846542652daf137f&authkey=AZbBFQiU0sbAMK04M4ZjE1s&e=NtQsTw.
Kitipornchai, S., C. M. Wang, and N. S. Trahair. 1986. “Buckling of monosymmetric I-beams under moment gradient.” J. Struct. Eng. 112 (4): 781–799. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:4(781).
Liu, Y., and L. Gannon. 2009a. “Experimental behavior and strength of steel beams strengthened while under load.” J. Constr. Steel Res. 65 (6): 1346–1354. https://doi.org/10.1016/j.jcsr.2009.01.008.
Liu, Y., and L. Gannon. 2009b. “Finite element study of steel beams reinforced while under load.” Eng. Struct. 31 (11): 2630–2642. https://doi.org/10.1016/j.engstruct.2009.06.011.
MacCrimmon, R. 2009. Guide for the design of crane-supporting steel structures. Markham, ON, Canada: Canadian Institute of Steel Construction.
Machado, S. P., and V. H. Cortínez. 2005. “Lateral buckling of thin-walled composite bisymmetric beams with prebuckling and shear deformation.” Eng. Struct. 27 (8): 1185–1196. https://doi.org/10.1016/j.engstruct.2005.02.018.
Mohri, F., and M. Potier-Ferry. 2006. “Effects of load height application and pre-buckling deflections on lateral buckling of thin-walled beams.” Steel Compos. Struct. 6 (5): 401. https://doi.org/10.12989/scs.2006.6.5.401.
Pezeshky, P., and M. Mohareb. 2018. “Distortional lateral torsional buckling of beam-columns including pre-buckling deformation effects.” Comput. Struct. 209 (Apr): 93–116. https://doi.org/10.1016/j.compstruc.2018.08.010.
Pezeshky, P., A. Sahraei, F. Rong, S. Sasibut, and M. Mohareb. 2020. “Generalization of the Vlasov theory for lateral torsional buckling analysis of built-up monosymmetric assemblies.” Eng. Struct. 221 (6): 111055. https://doi.org/10.1016/j.engstruct.2020.111055.
Pham, P. V., M. Mohareb, and A. Fam. 2017. “Elastic analysis of steel beams strengthened with GFRP plates including preexisting loading effects.” J. Struct. Eng. 143 (12): 04017163. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001904.
Pi, Y. L., and N. Trahair. 1992b. “Prebuckling deflections and lateral buckling. II: Applications.” J. Struct. Eng. 118 (11): 2967–2985. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:11(2967).
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.
Roberts, T., and Z. Azizian. 1983. “Instability of thin walled bars.” J. Eng. Mech. 109 (3): 781–794. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:3(781).
Sahraei, A., P. Pezeshky, M. Mohareb, and G. Doudak. 2018. “Simplified expressions for elastic lateral torsional buckling of wooden beams.” Eng. Struct. 174 (6): 229–241. https://doi.org/10.1016/j.engstruct.2018.07.042.
Slein, R., R. J. Sherman, and D. W. White. 2022. “Manual estimation of elastic lateral torsional buckling resistance of I-section members with cross-section transitions.” J. Bridge Eng. 27 (10): 04022099. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001931.
Trahair, N. S., and S. T. Woolcock. 1973. “Effect of major axis curvature on I-beam stability.” J. Eng. Mech. Div. 99 (1): 85–98. https://doi.org/10.1061/JMCEA3.0001731.
Vacharajittiphan, P., S. T. Woolcock, and N. S. Trahair. 1974. “Effect of in-plane deformation on lateral buckling.” J. Struct. Mech. 3 (1): 29–60. https://doi.org/10.1080/03601217408907255.
Wang, Y.-Q., L. Zong, R.-X. Zhu, X.-Y. Liu, and Y.-J. Shi. 2015. “Behavior of I-section steel beam welding reinforced while under load.” J. Constr. Steel Res. 106 (Dec): 278–288. https://doi.org/10.1016/j.jcsr.2014.12.020.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 149Issue 7July 2023

History

Received: Oct 29, 2022
Accepted: Feb 14, 2023
Published online: Apr 25, 2023
Published in print: Jul 1, 2023
Discussion open until: Sep 25, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Graduate Research Assistant, Dept. of Civil Engineering, Univ. of Ottawa, Ottawa, ON, Canada K1N 6N5 (corresponding author). ORCID: https://orcid.org/0000-0003-4675-6287. Email: [email protected]
Professor, Dept. of Civil Engineering, Univ. of Ottawa, Ottawa, ON, Canada K1N 6N5. ORCID: https://orcid.org/0000-0001-8038-1816. Email: [email protected]

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.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share