Lateral–distortional buckling of hollow tubular flange plate girders with slender unstiffened webs

Abstract In this paper, the lateral–distortional buckling (LDB) of hollow tubular flange plate girders (HTFPGs) with slender unstiffened webs is investigated. Firstly, shell finite element analyses are performed in order (i) to study the elastic buckling behaviour of simply supported HTFPGs under uniform bending and (ii) to compare it with the behaviour of I-section plate girders (IPGs) with unstiffened and stiffened webs. The results show that HTFPGs (without stiffeners) have much higher critical moments than IPGs (with stiffeners). Secondly, the LDB behaviour of HTFPGs is investigated using finite strip analyses and the results show the girder length range in which LDB is relevant. After that, an analytical model to estimate the critical LDB moment is proposed and validated by comparison between analytical and numerical values. Thirdly, the investigation is extended to the inelastic domain and non linear shell finite element analyses are performed to evaluate the ultimate strengths of the HTFPGs. Several remarks regarding the flexural strength of HTFPGs are presented. Finally, the predictions given by Eurocode 3 are compared with the numerical results and it is found that the predictions given by the design equations are unconservative. Therefore, it is recommended to use the European specifications by adopting the proposed expression to estimate the critical LDB moment.

[1]  Richard Sause,et al.  Flexural strength of tubular flange girders , 2009 .

[2]  O. F. Hughes,et al.  Lateral distortional buckling of monosymmetric I-beams under distributed vertical load , 1996 .

[3]  Mark A. Bradford,et al.  Lateral-distortional buckling of continuously restrained columns , 1997 .

[4]  Richard Sause,et al.  High Performance Steel Girders with Tubular Flanges , 2005 .

[5]  Nuno Silvestre Distortional mechanics of restrained steel sections , 2010 .

[6]  M. Bradford Distortional buckling of monosymmetric I beams , 1985 .

[7]  Jiho Moon,et al.  Lateral–torsional buckling of I-girders with discrete torsional bracings , 2010 .

[8]  Donald W. White,et al.  Effect of web distortion on the buckling strength of noncomposite discretely-braced steel I-section members , 2007 .

[9]  Mark A. Bradford,et al.  Web distortion and flexural torsional buckling , 1979 .

[10]  Mark A. Bradford Lateral-Distortional buckling of steel I—Section members , 1992 .

[11]  C. R. Hendy,et al.  Designers' Guide to EN 1993-2 Eurocode 3: Design of Steel Structures, Part 2: Steel Bridges , 2007 .

[12]  Mahen Mahendran,et al.  Lateral distortional buckling tests of a new hollow flange channel beam , 2011 .

[13]  Mahen Mahendran,et al.  The buckling behaviour of hollow flange beams , 1992 .

[14]  Ri Dempsey Structural Behaviour and Design of Hollow Flange Beams , 1990 .

[15]  Mostafa Fahmi Hassanein,et al.  Lateral–torsional buckling of hollow tubular flange plate girders with slender stiffened webs , 2013 .

[16]  Mark A. Bradford,et al.  Distortional Buckling of I-Beams , 1979 .

[17]  Ashwini Kumar,et al.  Distortional buckling in monosymmetric I-beams , 2006 .

[18]  Hasan U. Akay,et al.  Lateral and Local Buckling of Beams and Frames , 1977 .

[19]  Mostafa Fahmi Hassanein,et al.  An extended evaluation for the shear behavior of hollow tubular flange plate girders , 2012 .

[20]  Richard Sause,et al.  Finite element analysis of curved steel girders with tubular flanges , 2010 .

[21]  P. Goltermann,et al.  Lateral Distortional Buckling: Predicting Elastic Critical Stress , 1988 .

[22]  K. F. Chung,et al.  Composite column design to Eurocode 4 : based on DD ENV 1994-1-1: 1994 Eurocode 4: design of composite steel and concrete structures: part 1.1: general rules and rules for buildings , 1994 .

[23]  Mostafa Fahmi Hassanein,et al.  Shear strength and behavior of transversely stiffened tubular flange plate girders , 2010 .

[24]  Nicholas S. Trahair,et al.  Lateral-Distortional Buckling of Hollow Flange Beams , 1997 .

[25]  Mahen Mahendran,et al.  Elastic lateral buckling of simply supported LiteSteel beams subject to transverse loading , 2009 .

[26]  Mahen Mahendran,et al.  Finite-element analysis of hollow flange beams with web stiffeners , 1997 .

[27]  Jihong Ye,et al.  ELASTIC LATERAL AND RESTRAINED DISTORTIONAL BUCKLING OF DOUBLY SYMMETRIC I-BEAMS , 2010 .

[28]  Gregory J. Hancock,et al.  A theoretical investigation of the column behaviour of cold-formed square hollow sections , 1993 .

[29]  Tadeh Zirakian Elastic distortional buckling of doubly symmetric I-shaped flexural members with slender webs , 2008 .

[30]  Tadeh Zirakian,et al.  ELASTIC DISTORTIONAL BUCKLING OF SINGLY SYMMETRIC I-SHAPED FLEXURAL MEMBERS WITH SLENDER WEBS , 2012 .