A Parametric Study on Lateral Torsional Buckling of European IPN and IPE Cantilevers
Authors: H. Ozbasaran
Abstract:
IPN and IPE sections, which are commonly used European I shapes, are widely used in steel structures as cantilever beams to support overhangs. A considerable number of studies exist on calculating lateral torsional buckling load of I sections. However, most of them provide series solutions or complex closed-form equations. In this paper, a simple equation is presented to calculate lateral torsional buckling load of IPN and IPE section cantilever beams. First, differential equation of lateral torsional buckling is solved numerically for various loading cases. Then a parametric study is conducted on results to present an equation for lateral torsional buckling load of European IPN and IPE beams. Finally, results obtained by presented equation are compared to differential equation solutions and finite element model results. ABAQUS software is utilized to generate finite element models of beams. It is seen that the results obtained from presented equation coincide with differential equation solutions and ABAQUS software results. It can be suggested that presented formula can be safely used to calculate critical lateral torsional buckling load of European IPN and IPE section cantilevers.
Keywords: Cantilever, IPN, IPE, lateral torsional buckling
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1093482
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 4310References:
[1] N. Challamel, and C.M. Wang, "Exact lateral–torsional buckling solutions for cantilevered beams subjected to intermediate and end transverse pointloads,” Thin-Walled Structures, vol. 48, pp. 71-76, 2010.
[2] R. Goncalves, "A geometrically exact approach to lateral-torsional buckling of thin-walledbeams with deformable cross-section,” Computers and Structures, vol. 106-107, pp. 9-19, 2012.
[3] A.B. Beynyamina, S.A. Meftah, F. Mohri, and E.M. Daya, "Analytical solutions attempt for lateral torsional buckling of doublysymmetric web-tapered I-beams,” Engineering Structures, vol. 56, pp. 1207-1219, 2013.
[4] D.H. Hodges, and D.A. Peters, "Lateral-torsional buckling of cantilevered elastically coupled composite strip- and I-beams,” International Journal of Solids and Structures, vol. 38, pp. 1585-1603, 2001.
[5] A. Andrade, D. Camotim, and P. Providência e Costa, "On the evaluation of elastic critical moments in doubly and singly symmetricI-section cantilevers,” Journal of Constructional Steel Research, vol. 63, pp.894-908, 2007.
[6] L. Zhang, and G. S. Tong, "Elastic flexural-torsional buckling of thin-walled cantilevers,” Thin-Walled Structures, vol. 46, pp. 27-37, 2008.
[7] Specification for Structural Steel Buildings, American Institute of Steel Construction (A.I.S.C.), 2010.
[8] Eurocode 3: Design of steel structures, Part 1-1: General rules and rules for buildings (EN 1993-1-1), ComitéEuropéen de Normalisation (C.E.N.), 2005.
[9] S. P. Timoshenko, and J. M. Gere, Theory of Elastic Stability.2nd ed., McGraw-Hill, 1961.
[10] H. Ozbasaran, "Finite differences approach for calculating elastic lateral torsional buckling moment of cantilever I sections,” Journal of Science and Technology - A - Applied Sciences and Technology, vol. 14, no. 2, pp. 143-152, 2013.
[11] R. A. Adams, Calculus "A Complete Course”. 4th ed., Addison-Wesley, 1999.
[12] Sections and Merchant Bars,ArcelorMittal Commercial Sections,2014.
[13] R. Aydin, and M. Dogan, "Elastic, full plastic and lateral torsional buckling analysis of steel single-angle section beams subjected to biaxial bending,” Journal of Constructional Steel Research, vol. 63, pp. 13-23, 2007.
[14] M. R. Aydin, "Analysis of equal leg single-angle section beams subjected to biaxial bending and constant compressive axial force,” Journal of Constructional Steel Research, vol. 65, pp. 335-341, 2009.