FINITE DIFFERENCES APPROACH FOR CALCULATING ELASTIC LATERAL TORSIONAL BUCKLING MOMENT OF CANTILEVER I SECTIONS
Abstract
In steel structures, beams are usually assembled so as to be under bending about their major axis in order to use the structural material economically. Two major problems take place in design of these steel beams. First problem is exceeding of yield stress at the extreme fiber of the section. External force magnitude for any loading case which causes exceeding of yield stress on a steel beam can be easily calculated. Second problem is loss of stability. In beams which are loaded so as to be under bending about their major axis an equilibrium state is also possible for a certain load magnitude, in which the beam is twisted and buckled about its weak axis. This case is called lateral torsional buckling. Depending on the loading case, yield stress of the structural material and slenderness of the beam, which is related to section properties and length of the element, lateral torsional buckling may occur before the extreme fiber of the section reaches to yield stress. In this case, instead of first yield moment, lateral torsional buckling moment should be considered in design of the beam. In this paper, application of finite differences method for determining elastic critical lateral torsional buckling moment of cantilever I sections which are loaded from shear center is presented. The results are compared with ABAQUS software and it is seen that results obtained from the presented 1D model and ABAQUS software coincide.
Keywords
Lateral Torsional Buckling; Finite Differences Method; Cantilever Beam; I Section; Stability
References
- Andrade, A., Camotim, D. and Providência e Costa, P. (2007). On The Evaluation of Elastic Critical Moments in Doubly and Singly Symmetric I-section Cantilevers, Journal of Constructional Steel Research 63, 894-908.
- Comité Européen de Normalisation (C.E.N.). (1992) Eurocode 3: Design of Steel Structures, Part 1-1: General rules and Rules for Buildings (ENV 1993-1-1).
- Deren, H., Uzgider, E. and Piroğlu, F. (2003). Çelik Yapılar, Çağlayan Kitabevi.
- Eryiğit, E., Zor, M. and Arman, Y. (2009). Hole Effects on Lateral Buckling of Laminated Cantilever Beams, Composites Part:B 40, 174-179.
- Galambos, T.V. (1998). Guide to Stability Design Criteria for Metal Structures, John Wiley & Sons Inc.
- Lu, L.W., Shen, S.Z., Shen, Z.Y. and Hu, X.R. (1983). Stability of Steel Members, Architecture and Building Press.
- Özbaşaran, H. (2013). Analytical and Experimental Research of Lateral
KONSOL I KESİTLİ KİRİŞLERİN ELASTİK YANAL BURULMALI BURKULMA MOMENTİNİN HESAPLANMASINDA SONLU FARKLAR YAKLAŞIMI
Abstract
References
- Andrade, A., Camotim, D. and Providência e Costa, P. (2007). On The Evaluation of Elastic Critical Moments in Doubly and Singly Symmetric I-section Cantilevers, Journal of Constructional Steel Research 63, 894-908.
- Comité Européen de Normalisation (C.E.N.). (1992) Eurocode 3: Design of Steel Structures, Part 1-1: General rules and Rules for Buildings (ENV 1993-1-1).
- Deren, H., Uzgider, E. and Piroğlu, F. (2003). Çelik Yapılar, Çağlayan Kitabevi.
- Eryiğit, E., Zor, M. and Arman, Y. (2009). Hole Effects on Lateral Buckling of Laminated Cantilever Beams, Composites Part:B 40, 174-179.
- Galambos, T.V. (1998). Guide to Stability Design Criteria for Metal Structures, John Wiley & Sons Inc.
- Lu, L.W., Shen, S.Z., Shen, Z.Y. and Hu, X.R. (1983). Stability of Steel Members, Architecture and Building Press.
- Özbaşaran, H. (2013). Analytical and Experimental Research of Lateral
Details
| Primary Language | English |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | February 7, 2013 |
| Published in Issue | Year 2013 Volume: 14 Issue: 2 |
