A novel DSM-based approach for the rational design of fixed-ended and pin-ended short-to-intermediate thin-walled angle columns

Abstract This paper deals with the development of novel procedures for the design of fixed-ended and pin-ended equal-leg angle columns with short-to-intermediate lengths, i.e. , those buckling in flexural–torsional modes. Initially, numerical results concerning the buckling and post-buckling behaviour of the above angle columns are presented, (i) highlighting the main differences between the fixed-ended and pin-ended column responses, and (ii) evidencing the need for specific design procedures. Then, the paper gathers a large column ultimate strength data bank that includes (i) experimental values, collected from the available literature, and (ii) numerical values, obtained from A baqus shell finite element analyses. The set of experimental results collected comprises 41 fixed-ended and 35 pin-ended columns, and the numerical results obtained concern 337 fixed-ended and 197 pin-ended columns – various cross-section dimensions, lengths and yield stresses are considered. Next, after reviewing the available methods to estimate the ultimate strength of angle columns, the paper develops new design approaches for fixed-ended and pin-ended columns, based on the direct strength method (DSM) – the mechanical reasoning behind the procedures proposed, which include the use of genuine flexural–torsional strength curves, is also provided. Finally, the paper closes with the assessment of the ultimate strength predictions yielded by the proposed DSM design procedures, through their comparison with the assembled experimental and numerical failure loads – it is shown that both the quality and reliability of these predictions are very good and slightly higher than those exhibited by the available design methods for angle columns.

[1]  Kim J.R. Rasmussen Design of Angle Columns with Locally Unstable Legs , 2005 .

[2]  Ben Young Tests and Design of Fixed-Ended Cold-Formed Steel Plain Angle Columns , 2004 .

[3]  Benjamin W. Schafer,et al.  Cold-formed steel lipped and plain angle columns with fixed ends , 2014 .

[4]  Cristopher D. Moen,et al.  LRFD resistance factor for cold-formed steel compression members , 2012 .

[5]  Dinar Camotim,et al.  POST-BUCKLING BEHAVIOUR AND STRENGTH OF ANGLE COLUMNS , 2010 .

[6]  Dinar Camotim,et al.  GBTUL- a Code for the Buckling Analysis of Cold-formed Steel Members , 2008 .

[7]  Kim J.R. Rasmussen,et al.  Axial Compression Tests of Cold-Formed Angles , 1999 .

[8]  Dinar Camotim,et al.  Mode interaction in thin-walled equal-leg angle columns , 2014 .

[9]  Alexander Chajes,et al.  Principles of Structural Stability Theory , 1974 .

[10]  Benjamin W. Schafer,et al.  Cold-formed Steel Angles under Axial Compression , 2006 .

[11]  Faris Albermani,et al.  Elasto-Plastic Finite Element Models for Angle Steel Frames , 1990 .

[12]  Sritawat Kitipornchai,et al.  Nonlinear Finite Element Analysis of Angle and Tee Beam‐Columns , 1987 .

[13]  Maximiliano Malite,et al.  Stability of Cold-formed Steel Simple and Lipped Angles under Compression , 2008 .

[14]  Dinar Camotim,et al.  On the local and global buckling behaviour of angle, T-section and cruciform thin-walled members , 2010 .

[15]  Kim J.R. Rasmussen Design of Slender Angle Section Beam-Columns by the Direct Strength Method , 2006 .

[16]  Dinar Camotim,et al.  On the mechanics of thin-walled angle column instability , 2012 .

[17]  Dinar Camotim,et al.  Developments on the Design of Cold-Formed Steel Angles , 2013 .

[18]  Ben Young,et al.  SHIFT OF EFFECTIVE CENTROID OF CHANNEL COLUMNS , 1999 .

[19]  Benjamin W. Schafer,et al.  REVIEW: THE DIRECT STRENGTH METHOD OF COLD-FORMED STEEL MEMBER DESIGN , 2008 .

[20]  Ehab Ellobody,et al.  Behavior of Cold-Formed Steel Plain Angle Columns , 2005 .