Vol. 4, No. 3, pp. 243-259 (2008)
EFFECT OF END CONNECTION RESTRAINTS ON THE STABILITY
OF STEEL BEAMS IN BENDING
S. Amara 1,*, D.E. Kerdal 2 and J.P. Jaspart 3
1 Department of Civil Engineering, Civil Engineering Laboratory, Laghouat University, Algeria
2 Professor, Department of Civil Engineering, LM2SC Laboratory, U.S.T.Oran, Algeria
3 Professor, ArGEnCo Department, Liège University, 1 Chemin des Chevreuils, Liège, Belgium
* (Corresponding author: tel:+213 776 13 05 51; fax:+213 29 93 26 98; email: This email address is being protected from spambots. You need JavaScript enabled to view it.)
Received: 1 June 2008; Accepted: 15 August 2008
DOI: 10.18057/IJASC.2008.4.3.6
View Article | Export Citation:Plain Text | RIS | Endnote |
ABSTRACT
The influence of the end restraint conditions on the lateral-torsional buckling of beams is investigated in detail using finite element method. The paper focuses on the limitation of Eurocode 3 regarding the lateral bending and torsional restraint coefficients kz and kθ of the end supports. Theoretical expressions of the coefficients kz and kθ taking into account the minor axis flexural restraint at the support and the end torsional restraint respectively are presented. The introduction of new coefficients kz and kθ representing the actual support conditions in the expression of the elastic critical moment is suggested. A comparison between the elastic critical moments for various beam cross-sections, lengths and various end restraints, obtained from the finite-element method, and those derived from EC3 ENV method, in which the proposed coefficients kz and kθ are introduced, confirms the reliability of these coefficients that model the end support conditions.
KEYWORDS
Elastic lateral-torsional buckling; End restraints; Elastic critical moment; Out-of plane bending; Uniform torsion; Warping
REFERENCES
[1] AISC LRFD 1986. American Institute of Steel Construction (AISC). Load and resistance factor design. Chicago: AISC; 1986.
[2] AISC LRFD 1994. American Institute of Steel Construction (AISC). Load and resistance factor design. Chicago: AISC; 1994.
[3] BS 5950-1. Structural use of steelwork in buildings. Code of practice for design. Rolled and welded sections. British Standards Institution; 2000.
[4] EC3 2005. European Committee for Standardization. Eurocode 3: Design of steel structures, Part 1-1: General rules and rules for buildings (EN 1993-1-1). Brussels; May 2005.
[5] EC3 1992. European Committee for Standardization. Eurocode 3: Design of steel structures, Part 1-1: General rules and rules for buildings. (ENV 1993-1-1). Brussels; 1992.
[6] Trahair, N.S., “Multiple Design Curves for Beam Lateral Buckling”, Stability and Ductility of Steel Structures, T. Usami and Y. Itoh (Eds.), Pergamon, 1998.
[7] Serna, M.A., Lopez, A., Puente, I. and Yong, D.J., “Equivalent Uniform Moment Factors for Lateral-torsional Buckling of Steel Members”, Journal of Constructional Steel Research, Vol. 62, pp. 566-580, 2006.
[8] Galéa, Y., “Moment Critique de Déversement élastique de Poutres Fléchies”, Presentation du logiciel LTBEAM. Revue de la Construction Métallique. Vol. 2, CTICM 2003.
[9] Flint, A.R., “The Influence of Restraints on the Stability of Beams”, The Structural Engineer, Vol. 29, pp. 235-246, September 1951.
[10] Schmidt, L.C., “Restraints Against Elastic Lateral Buckling”, J. of Eng. Mech. Div., ASCE, Vol. 91, No. EM6, pp. 1-10, December 1965.
[11] Bose, B., ‘The Influence of Torsional Restraint Stiffness at Supports on the Buckling Strength of Beams”, The Structural Engineer, pp. 69-74, December 1982.
[12] Bennetts, I.D., Thomas, I.R. and Grundy, P., “Torsional Stiffness of Shear Connections”, Preprints, Metal Structures Conference, Institution of Engineers, pp.-102, Australia, 1981.
[13] Grundy, P., Murray, A.W. and Bennetts, I.D., “Torsional Rigidity of Standard Beam-to-Column Connections”, Preprints, Metal Structures Conference, Institution of Engineers, Australia, pp.-164, 1983.
[14] ECCS Technical Committee 8- Stability, 2006. European Convention for Constructional Steelwork, Rules for Member Stability in EN 1993-1-1. Background documentation and design guidelines, No. 119, 2006.