Technical Papers
Oct 19, 2016

Lateral-Torsional Buckling Resistance of Castellated Beams

Publication: Journal of Structural Engineering
Volume 143, Issue 3

Abstract

The existing design expressions for the lateral-torsional buckling behavior of castellated beams conflict. Furthermore, they do not take into account the detrimental effect of the residual stress modification attributable to the fabrication process, which was only recently demonstrated by the authors. This makes these design rules possibly unsafe. In this paper, the lateral-torsional buckling behavior of doubly symmetric castellated beams loaded by a constant bending moment is investigated numerically. The numerical model, including the modified residual stresses, was validated by comparing its results with experimental results. A preliminary design approach is proposed based on the current European guidelines for the calculation of the lateral-torsional buckling resistance of I-section beams. According to the proposed approach, the lateral-torsional buckling resistance of castellated beams can be determined using the cross-sectional properties calculated at the center of the web opening. The modification of the residual stresses during the fabrication process results in resistances that lie approximately one buckling curve lower.

Get full access to this article

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

Acknowledgments

The authors would like to acknowledge Huys-Liggers (Venlo, Netherlands) for the production of the castellated members used for the LTB experiments performed at Ghent University. Part of the computational resources (STEVIN Supercomputer Infrastructure) and services used in this work were kindly provided by Ghent University, the Flemish Supercomputer Center (VSC), the Hercules Foundation, and the Flemish Government, department EWI.

References

ABAQUS 6.12 [Computer software]. Dassault Systèmes, Waltham, MA.
Beer, H., and Schulz, G. W. (1970). “Bases Théoriques des Courbes Européennes de Flambement.” Construction Métallique, 3, 37–57.
Boissonnade, N., and Somja, H. (2012). “Influence of imperfections in FEM modeling of lateral torsional buckling.” Proc., Annual Stability Conf., Structural Stability Research Council, (SSRC2012), Structural Stability Research Council (SSRC), Chicago.
Boissonnade, N., Nseir, J., Moussa, L., and Somja, H. (2013). “Design of cellular beams against lateral torsional buckling.” Proc. Inst. Civ. Eng. Struct. Build., 167(SB7), 436–444.
Bradford, M. A. (1992). “Lateral-distortional buckling of steel I-section members.” J. Constr. Steel Res., 23(1–3), 97–116.
CEN (European Committee for Standardization). (1998). “Design of steel Structures. Part 1-1: General rules and rules for buildings. Annex N: Openings in webs.” ENV 1993-1-1, Eurocode 3, Brussels, Belgium.
CEN (European Committee for Standardization). (2005). “Design of steel structures. Part 1-1: General rules and rules for buildings.” ENV 1993-1-1, Eurocode 3, Brussels, Belgium.
CTICM (Centre Technique Industriel de la Construction Métallique). (2006). “Arcelor cellular beams: Detailed technical description.” Saint-Aubin, France.
ECCS (European Convention for Constructional Steelwork). (1984). “Ultimate limit state calculations of sway frames with rigid joints.”, Brussels, Belgium.
Gietzelt, R., and Nethercot, D. A. (1983). “Biegedrillknicklasten von Wabenträgern.” Stahlbau, 11, 346–349.
Kerdal, D., and Nethercot, D. A. (1984). “Failure modes for castellated beams.” J. Constr. Steel Res., 4(4), 295–315.
Lakusic, V. T., Dzeba, I., and Androic, B. (2008). “The buckling curve for lateral-torsional buckling resistance of castellated beams.” Proc., 5th European Conf. on Steel Structures (Eurosteel 2008), ECCS, Brussels, Belgium, 1587–1592.
Maquoi, R., et al. (2003). Lateral torsional buckling in steel and composite beams, European Commision, Brussels, Belgium.
Maquoi, R., and Rondal, J. (1978). “Mise en equation des nouvelles courbes Européennes de flambement.” Construction Métallique, 1, 17–29.
Nethercot, D. A., and Kerdal, D. (1982). “Lateral-torsional buckling of castellated beams.” Struct Eng., 60B(3), 53–61.
Rebelo, C., Lopes, N., Simões da Silva, L., Nethercot, D. A., and Vila Real, P. M. M. (2009). “Statistical evaluation of the lateral-torsional buckling resistance of steel I-beams. Part 1: Variability of the Eurocode 3 resistance model.” J. Constr. Steel Res, 65(4), 818–831.
Schafer, B. W., and Ádány, S. (2005). “Understanding and classifying local, distortional and global buckling in open thin-walled members.” Proc., Annual Stability Conf., Structural Stability Research Council, (SSRC2012), Structural Stability Research Council (SSRC), Chicago, 1–20.
Simões da Silva, L., Rebelo, C., Nethercot, D. A., Marques, L., Simões, R., and Vila Real, P. M. M. (2009). “Statistical evaluation of the lateral-torsional buckling resistance of steel I-beams. Part 2: Variability of steel properties.” J. Constr. Steel Res., 65(4), 832–849.
Sonck, D. (2014). “Global buckling of castellated and cellular steel beams and columns.” Ph.D. dissertation, Ghent Univ., Ghent, Belgium.
Sonck, D., and Belis, J. (2015). “Lateral-torsional buckling resistance of cellular beams.” J. Constr. Steel Res., 105, 119–128.
Sonck, D., Van Impe, R., and Belis, J. (2014). “Experimental investigation of residual stresses in steel cellular and castellated members.” Constr. Build. Mater., 54, 512–519.
Sonck, D., Vanlaere, W., and Van Impe, R. (2011). “Influence of plasticity on lateral-torsional buckling behaviour of cellular beams.” Mater. Res. Innov., 15(sup1), s158–s161.
Sonck, D., Van Lancker, B., and Belis, J. (2015). “Influence of residual stresses on the global buckling resistance of cellular and castellated members.” Proc., Annual Stability Conf., Structural Stability Research Council, (SSRC2015), Structural Stability Research Council (SSRC), Chicago.
Taras, A. (2010). “Contribution to the development of consistent stability design rules for steel members.” Ph.D. dissertation, Graz Univ. of Technology, Graz, Austria.
Taras, A., and Greiner, R. (2008). “Development of consistent buckling curves for torsional and lateral-torsional buckling.” Steel Constr., 1(1), 42–50.
Taras, A., and Greiner, R. (2010). “New design curves for lateral-torsional buckling. Proposal based on a consistent derivation.” J. Constr. Steel Res., 66(5), 648–663.
Trahair, N. S. (1993). Flexural-torsional buckling behaviour of structures, E & FN Spon, London.
Zirakian, T., and Showkati, H. (2006). “Distortional buckling of castellated beams.” J. Constr. Steel Res., 62(9), 863–871.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 143Issue 3March 2017

History

Received: Mar 1, 2016
Accepted: Sep 8, 2016
Published online: Oct 19, 2016
Published in print: Mar 1, 2017
Discussion open until: Mar 19, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Postdoctoral Assistant, Dept. of Structural Engineering-LMO, Ghent Univ., Tech Ln. Ghent Science Park—Campus A, Technologiepark-Zwijnaarde 904, 9052 Ghent, Belgium (corresponding author). ORCID: https://orcid.org/0000-0001-8340-8797. E-mail: [email protected]
Jan Belis, Ph.D. [email protected]
Professor, Dept. of Structural Engineering-LMO, Ghent Univ., Tech Ln. Ghent Science Park—Campus A, Technologiepark-Zwijnaarde 904, 9052 Ghent, Belgium. E-mail: [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.

Cited by

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