journal article·2024-06-06Open access

An Assessment of the Eurocode 3 Simplified Formulas for Distortional Buckling of Cold-Formed Steel Lipped Channels

André Dias Martins, Nuno Peres, Pedro Jacinto, Rodrigo Gonçalves

Applied Sciences· Volume 14· Issue 11

Abstract

This paper concerns the Eurocode 3 Part 1-3 (EN 1993-1-3) methods for calculating the distortional buckling (bifurcation) load of cold-formed steel-lipped channels subjected to axial force, major and minor axis bending. More specifically, the paper presents the results of a parametric study that assesses the accuracy of the simplified method in EN 1993-1-3, which relies on direct/iterative hand calculations and an approximate mechanical model, through comparison with “exact” numerical results, obtained using semi-analytical linearized buckling analyses based on Generalized Beam Theory, which are also allowed by the code. Isoline error maps are presented for a wide range of geometric and material parameters, covering common commercial profiles and corresponding to a dataset of more than 24,000 cases. These maps make it possible to identify the parameter ranges leading to an acceptable error and, even though they strongly depend on the loading, general remarks concerning the expected error pertaining to the simplified method are drawn.
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Research context

OpenAlex topics: Structural Load-Bearing Analysis · Structural Engineering and Materials Analysis · Laser and Thermal Forming Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

IDMEC (Institute of Mechanical Engineering), Instituto Superior Técnico, University of Lisbon, 1049-001 Lisbon, Portugal

Faculty of Engineering, Universidade Lusófona, 1749-024 Lisbon, Portugal

CERIS, Instituto Superior Técnico, University of Lisbon, 1049-001 Lisbon, Portugal

Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Campus de Caparica, 2829-516 Caparica, Portugal

CERIS and Departamento de Engenharia Civil, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Campus de Caparica, 2829-516 Caparica, Portugal

Funding

Portuguese Foundation for Science and Technology’s (“Fundação para a Ciência e a Tecnologia”, FCT)

References (23)

Show source-provided references
1. Ziemian, R. (2010). Guide to Stability Design Criteria for Metal Structures, Wiley.10.1002/9780470549087 ↗
2. Dubina, D., Ungureanu, V., and Landolfo, R. (2012). Design of Cold-Formed Steel Structures: Eurocode 3: Design of Steel Structures. Part 1-3 Design of Cold-Formed Steel Structures, Wiley.10.1002/9783433602256 ↗
3. Distortional Buckling Formulas for Channel Columns10.1061/(ASCE)0733-9445(1987)113:5(1063) ↗
4. Buhagiar, D., Chapman, J., and Dowling, P. (1992, January 20–21). Design of C-sections against deformational lip buckling. Proceedings of the CCFSS Proceedings of International Specialty Conference on Cold-Formed Steel Structures, St. Louis, MO, USA.
5. Distortional buckling of channel beam-columns10.1016/S0263-8231(03)00007-7 ↗
6. FEM-based analysis of the local-plate/distortional mode interaction in cold-formed steel lipped channel columns10.1016/j.compstruc.2007.02.013 ↗
7. Local, Distortional, and Lateral Buckling of I-Beams10.1061/JSDEAG.0005035 ↗
8. Generalized beam theory—An adequate method for coupled stability problems10.1016/0263-8231(94)90027-2 ↗
9. (2009). Eurocode 3: Design of Steel Structures—Part 1-3: General Rules—Supplementary Rules for Cold-Formed Members and Sheeting (Standard No. EN 1993-1-3:2006).
10. Application of the finite strip method in cold-formed steel member design10.1016/j.jcsr.2010.04.001 ↗
11. GBTUL 2.0—A second-generation code for the GBT-based buckling and vibration analysis of thin-walled members10.1016/j.tws.2017.12.002 ↗
12. AISI (2016). North American Specification for the Design of Cold-Formed Steel Structural Members, American Iron and Steel Institute.
13. Cold-Formed Steel Profiles with Multiple Stiffeners Effective Section Calculation Using Alternative Methodology of the EN1993-1-3 Standard10.1002/cepa.1698 ↗
14. Moment Resistance Analysis of Thin-walled Stiffened Sections by the Alternative Method of EN1993: Part:1-310.1002/cepa.1738 ↗
15. Pham, C., and Hancock, G. (2012). Experimental Investigation and Direct Strength Complex C-Section in Pure Bending, School of Civil Engineering, The University of Sydney. Technical Report.
16. Experimental investigation on cold-formed steel stiffened lipped channel columns undergoing local-distortional interaction10.1016/j.tws.2020.106682 ↗
17. Experimental investigation on cold-formed steel lipped channel beams affected by local-distortional interaction under non-uniform bending10.1016/j.tws.2021.107494 ↗
18. Schardt, R. (1989). Verallgemeinerte Technische Biegetheorie, Springer.10.1007/978-3-642-52330-4 ↗
19. Lateral torsional and distortional buckling of channel- and hat-sections10.1016/0143-974X(94)90012-4 ↗
20. Distortional buckling formulae for cold-formed steel C and Z-section members: Part I—Derivation10.1016/j.tws.2004.05.001 ↗
21. Distortional buckling formulae for cold-formed steel C- and Z-section members: Part II—Validation and application10.1016/j.tws.2004.05.002 ↗
22. (MATLAB, 2018). MATLAB, version 9.4.0 (R2018a).
23. (2008). ECCS TC7 TWG 7.5: Pratical Improvement of Design Procedures, European Convention for Constructional Steelwork.