Behaviour of structural stainless steel cross-sections under combined loading – Part II: Numerical modelling and design approach

Abstract In parallel with the experimental study described in the companion paper (Zhao et al., submitted for publication), a numerical modelling programme has been carried out to investigate further the structural behaviour of stainless steel cross-sections under combined loading. The numerical models, which were developed using the finite element (FE) package ABAQUS, were initially validated against the experiments, showing the capability of the FE models to replicate the key test results, the full experimental load–deformation histories and the observed local buckling failure modes. Upon validation of the FE models, parametric studies were conducted to generate additional structural performance data over a wide range of cross-section slenderness and combinations of loading. The experimental and numerical results were then compared with the design capacity predictions from the current European Standard EN 1993-1-4 (2006) and American Specification SEI/ASCE-8 (2002) for stainless steel structures. The comparisons revealed that the current design standards can significantly under-estimate the resistance of stainless steel cross-sections subjected to combined loading; this under-prediction of capacity can be primarily attributed to the lack of consideration of strain hardening of the material under load. The Continuous Strength Method (CSM) is a deformation-based design approach that accounts for strain hardening and has been shown to provide accurate predictions of cross-sectional resistance under compression and bending, acting in isolation. In the present paper, proposals are made to extend the scope of the CSM to the case of combined loading. Comparisons between the CSM design proposals and the test and FE results indicated a high level of accuracy and consistency in the predictions. The reliability of the proposals was confirmed by means of statistical analyses according to EN 1990 (2002).

[1]  Kim J.R. Rasmussen,et al.  Carrying Capacity of Stainless Steel Columns in the Low Slenderness Range , 2013 .

[2]  Mahmud Ashraf,et al.  Structural design for non-linear metallic materials , 2006 .

[3]  Tak-Ming Chan,et al.  Flexural behaviour of stainless steel oval hollow sections , 2009 .

[4]  Petr Hradil,et al.  Numerical verification of stainless steel overall buckling curves , 2014 .

[5]  Tak-Ming Chan,et al.  Structural response of stainless steel oval hollow section compression members , 2009 .

[6]  Ben Young,et al.  Experimental investigation of cold-formed lean duplex stainless steel beam-columns , 2014 .

[7]  Barbara Rossi,et al.  Behaviour of structural stainless steel cross-sections under combined loading – Part I: Experimental study , 2015 .

[8]  Leroy Gardner,et al.  Testing and numerical modelling of lean duplex stainless steel hollow section columns , 2009 .

[9]  Ben Young,et al.  Tests of pin-ended cold-formed lean duplex stainless steel columns , 2013 .

[10]  W. Ramberg,et al.  Description of Stress-Strain Curves by Three Parameters , 1943 .

[11]  Dinar Camotim,et al.  Post-buckling behaviour and direct strength design of lipped channel columns experiencing local/distortional interaction , 2012 .

[12]  S. Ádány Buckling Analysis of Cold-formed Steel Members Using CUFSM , 2006 .

[13]  Leroy Gardner,et al.  Residual stress analysis of structural stainless steel sections , 2008 .

[14]  Esther Real,et al.  Flexural behaviour of stainless steel beams , 2005 .

[15]  Gregory J. Hancock,et al.  Cold-formed steel structures , 2003 .

[16]  Ben Young,et al.  Material properties of cold-formed lean duplex stainless steel sections , 2012 .

[17]  Chanakya Arya,et al.  Eurocode 3: Design of steel structures , 2018, Design of Structural Elements.

[18]  Leroy Gardner,et al.  The continuous strength method for structural stainless steel design , 2013 .

[19]  Kim Rasmussen,et al.  Full-range stress–strain curves for stainless steelalloys , 2003 .

[20]  Jean-Pierre Jaspart,et al.  Combined Distortional and Overall Flexural-Torsional Buckling of Cold-Formed Stainless Steel Sections: Design , 2010 .

[21]  Markus Kettler,et al.  Interaction of bending and axial compression of stainless steel members , 2008 .

[22]  Ben Young,et al.  Design of Cold-Formed Lean Duplex Stainless Steel Members in Combined Compression and Bending , 2015 .

[23]  David A. Nethercot,et al.  Numerical Modeling of Stainless Steel Structural Components—A Consistent Approach , 2004 .

[24]  Maura Lecce,et al.  The direct strength method for stainless steel compression members , 2008 .

[25]  Ben Young,et al.  Behavior of Cold-Formed High Strength Stainless Steel Sections , 2005 .

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

[27]  David A. Nethercot,et al.  Experiments on stainless steel hollow sections—Part 2: Member behaviour of columns and beams , 2004 .

[28]  Andrew Liew,et al.  Ultimate capacity of structural steel cross-sections under compression, bending and combined loading , 2015 .

[29]  David A. Nethercot,et al.  Compression strength of stainless steel cross-sections , 2006 .

[30]  Ben Young,et al.  Experimental and numerical investigation of cold-formed lean duplex stainless steel flexural members , 2013 .

[31]  David A. Nethercot,et al.  Structural stainless steel design: Resistance based on deformation capacity , 2008 .

[32]  Leroy Gardner,et al.  Effect of element interaction and material nonlinearity on the ultimate capacity of stainless steel cross-sections , 2012 .

[33]  Leroy Gardner,et al.  Reliability analysis of structural stainless steel design provisions , 2015 .

[34]  Leroy Gardner,et al.  The continuous strength method , 2008 .

[35]  H. N. Hill Determination of stress-strain relations from "offset" yield strength values , 1944 .

[36]  David A. Nethercot,et al.  Experiments on stainless steel hollow sections—Part 1: Material and cross-sectional behaviour , 2004 .

[37]  Leroy Gardner,et al.  Strength enhancements induced during cold forming of stainless steel sections , 2008 .

[38]  Kim J.R. Rasmussen,et al.  Design of Cold-Formed Stainless Steel Tubular Members. II: Beams , 1993 .

[39]  Barbara Rossi,et al.  Strength enhancements in cold-formed structural sections - Part I: Material testing , 2013 .

[40]  Gregory J. Hancock,et al.  Development of the 2005 Edition of the Australian/New Zealand Standard for Cold-Formed Steel Structures AS/NZS 4600 , 2008 .

[41]  Leroy Gardner,et al.  Residual stresses in cold-rolled stainless steel hollow sections , 2008 .

[42]  null null,et al.  Specification for the Design of Cold-Formed Stainless Steel Structural Members , 2002 .

[43]  Leroy Gardner,et al.  Experimental and numerical studies of lean duplex stainless steel beams , 2010 .

[44]  Xxyyzz,et al.  Specification for the Design of Cold-Formed Stainless Steel Structural Members , 2023 .

[45]  E. Mirambell,et al.  On the calculation of deflections in structural stainless steel beams: an experimental and numerical investigation , 2000 .

[46]  Nuno Silvestre,et al.  Flexural behavior of lean duplex stainless steel girders with slender unstiffened webs , 2013 .

[47]  David A. Nethercot,et al.  Finite element modelling of structural stainless steel cross-sections , 2006 .

[48]  Alastair C. Walker,et al.  Post-Buckling of Geometrically Imperfect Plates , 1972 .