Computational modelling of flange crushing in cold-formed steel sections

Abstract The computational modelling of the flange crushing phenomenon in cold-formed steel profiles is described in this paper, with particular emphasis to the development of shell finite element (SFE) models and performance of quasi-static analyses with an explicit integration scheme. Web crippling failure is widely recognised as the most relevant collapse mode of cold-formed steel members subjected to transverse concentrated loads. However, it has been experimentally and numerically observed that a somewhat different collapse mode may occur, due to the heavy stress concentrations stemming from the adoption of narrow bearing plates. This phenomenon, termed flange crushing, should not be confused with web crippling. Usually, the web crippling phenomenon is numerically investigated by means of non-linear static SFE models with an implicit integration scheme. In this study, SFE models are developed in ABAQUS code to study the flange crushing failure of a plain channel beam subjected to Internal Two Flange (ITF) loading conditions. These models are described in detail, as well as additional modelling concerns regarding quasi-static analyses and the explicit integration method. Different parameters are discussed in this article and the numerical results obtained are commented throughout. Such parameters include the (i) SFE type and mesh, (ii) load rate, mass scaling, adoption of smoothed displacement amplitude curves and control of inertial effects, (iii) contact and friction definitions, (iv) effects of forming cold-work and manufacturing process and (v) geometrical imperfections. Finally, the load–displacement response obtained with the quasi-static model and an equivalent non-linear static analysis are compared with the experimental test curves. It is concluded that very good results are achieved with the quasi-static approach, not only in terms of the ultimate load prediction, but also regarding the post-collapse load–deflection curve and the failure mechanism.

[1]  Cristopher D. Moen,et al.  COMPUTATIONAL MODELING OF COLD-FORMED STEEL , 2010 .

[2]  Olli Kaitila Web crippling of cold-formed thin-walled steel cassettes , 2004 .

[3]  K. S. Sivakumaran,et al.  Analysis for web crippling behaviour of cold-formed steel members , 1989 .

[4]  Heiyanthuduwage Don,et al.  Web crippling behaviour of cold-formed thin-walled steel lipped channel beams , 2008 .

[5]  Dinar Camotim,et al.  Quasi-Static Web Crippling Analysis of Cold-Formed Steel Beams , 2012 .

[6]  Odd Sture Hopperstad,et al.  Steel girders subjected to concentrated loading—Validation of numerical simulations , 1999 .

[7]  O. Kaitila,et al.  Web crippling of thin-walled cold formed steel cassettes , 2007 .

[8]  Gregory J. Hancock,et al.  Design of Cold-Formed Channels Subjected to Web Crippling , 2001 .

[9]  Martin Macdonald,et al.  A design rule for web crippling of cold-formed steel lipped channel beams based on nonlinear FEA , 2012 .

[10]  Dinar Camotim,et al.  Web crippling failure using quasi-static FE models , 2014 .

[11]  Wei-Xin Ren,et al.  Finite-Element Simulation and Design of Cold-Formed Steel Channels Subjected to Web Crippling , 2006 .

[12]  Asraf Uzzaman,et al.  Cold-Formed Steel Sections with Web Openings Subjected to Web Crippling under Two-Flange Loading Conditions — Part I : Tests and Finite Element Analysis , 2012 .

[13]  Benjamin W. Schafer,et al.  Computational modeling of cold-formed steel: characterizing geometric imperfections and residual stresses , 1998 .

[14]  Feng Zhou,et al.  Experimental and numerical investigations of cold-formed stainless steel tubular sections subjected to concentrated bearing load , 2007 .

[15]  Wei-wen Yu,et al.  Webs for cold formed steel flexural members structural behavior of beam webs subjected to web crippling and a combination of web crippling and bending , 1978 .

[16]  Cristopher D. Moen,et al.  Prediction of residual stresses and strains in cold-formed steel members , 2008 .

[17]  H. P. Lee,et al.  Comparison of implicit and explicit finite element methods for dynamic problems , 2000 .

[18]  Ben Young,et al.  Tests and Design of Cold-formed Unlipped Channels Subjected to Web Crippling , 1999 .

[19]  David Nash,et al.  An investigation of web crushing behaviour in thin-walled beams , 1998 .