Design of cold-formed stainless steel circular hollow section columns using machine learning methods

Abstract Most existing design methods for the bearing capacity of stainless steel circular hollow section (CHS) columns were developed for a specific grade considering merely the global buckling failure mode. However, a variety of stainless steel grades with significant differences in material properties exist, and CHS columns may undergo local buckling, global buckling and global–local interactive buckling. To develop a unified design method suitable for various stainless steel grades and failure modes, this study adopted a machine learning based framework. First, 39 tests were conducted on cold-formed stainless steel CHS columns. Material properties, imperfections, load-deformation curves, and failure modes were reported in detail. Then, test data on stainless steel CHS columns in literature were collected and formed a database with 280 columns. Afterwards, two machine learning algorithms, Random Forest and Extreme Gradient Boosting, were used to predict the bearing capacity of column based on four types of input parameters. The Random Forest algorithm obtained the highest prediction accuracy when using all the design parameters as input. The accuracy of Random Forest algorithm based on the Comprehensive parameters (i.e., the non-dimensional slenderness of cross-section and member) is improved considerably when including the ratio of yield strength over the Young’s modulus as the input parameter. Finally, the prediction of machine learning method was compared with that of the design method in Design manual for structural stainless steel, and the proposed method shows a better accuracy.

[1]  Ben Young,et al.  Buckling of stainless steel square hollow section compression members , 2003 .

[2]  Tianqi Chen,et al.  XGBoost: A Scalable Tree Boosting System , 2016, KDD.

[3]  Ben Young,et al.  Structural performance of stainless steel circular hollow sections under combined axial load and bending – Part 1: Experiments and numerical modelling , 2016 .

[4]  Abdulkadir Cevik,et al.  A new formulation for longitudinally stiffened webs subjected to patch loading , 2007 .

[5]  Jiangang Wei,et al.  Behaviour of grouted stainless steel tubular X-joints with CHS chord under axial compression , 2018 .

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

[7]  Qi Lu,et al.  An Intelligent Design Model for the Thin-Walled Steel Perforated Member , 2017 .

[8]  Leroy Gardner,et al.  Testing, simulation and design of cold-formed stainless steel CHS columns , 2018, Thin-Walled Structures.

[9]  Ben Young,et al.  Column design of cold-formed stainless steel slender circular hollow sections , 2006 .

[10]  Andrew Liew,et al.  The continuous strength method for the design of circular hollow sections , 2016 .

[11]  Stelios Kyriakides,et al.  Plastic buckling of circular tubes under axial compression—part I: Experiments , 2006 .

[12]  Ou Zhao,et al.  Experimental and numerical investigations of concrete-filled stainless steel tube stub columns under axial partial compression , 2019, Journal of Constructional Steel Research.

[13]  Murat Pala,et al.  Genetic programming-based formulation for distortional buckling stress of cold-formed steel members , 2008 .

[14]  Yating Liang,et al.  Flexural buckling behaviour and resistances of circular high strength concrete-filled stainless steel tube columns , 2020 .

[15]  Kim J.R. Rasmussen,et al.  Strength Curves for Metal Columns , 1997 .

[16]  G. Shu,et al.  Predictions of material properties in cold-rolled austenitic stainless steel tubular sections , 2020 .

[17]  Leo Breiman,et al.  Random Forests , 2001, Machine Learning.

[18]  Brian Uy,et al.  Behaviour of short and slender concrete-filled stainless steel tubular columns , 2011 .

[19]  Marley M. B. R. Vellasco,et al.  A neuro-fuzzy evaluation of steel beams patch load behaviour , 2008, Adv. Eng. Softw..

[20]  G. Shu,et al.  Test and design of stainless steel K-joints in cold-formed circular hollow sections , 2021, Journal of Constructional Steel Research.

[21]  Sajjad Tohidi,et al.  Neural networks for inelastic distortional buckling capacity assessment of steel I-beams , 2015 .

[22]  Leroy Gardner,et al.  Structural design of stainless steel concrete filled columns , 2008 .

[23]  G. Shu,et al.  Experimental study of cold-drawn duplex stainless steel circular tubes under axial compression , 2019, Thin-Walled Structures.

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

[25]  Amir Hossein Gandomi,et al.  New design equations for assessment of load carrying capacity of castellated steel beams: a machine learning approach , 2012, Neural Computing and Applications.

[26]  L. Gardner,et al.  Cold-formed stainless steel CHS beam-columns – Testing, simulation and design , 2020 .

[27]  Ou Zhao,et al.  Testing and numerical modelling of austenitic stainless steel CHS beam–columns , 2016 .

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

[29]  Yating Liang,et al.  Experimental and numerical studies of austenitic stainless steel CHS stub columns after exposed to elevated temperatures , 2019, Journal of Constructional Steel Research.

[31]  L. Gardner,et al.  The Continuous Strength Method for the design of stainless steel hollow section columns , 2020 .

[32]  G. Shu,et al.  Investigations on stainless steel T- and Y-joints in cold-rolled circular hollow sections , 2020 .

[33]  Kim J.R. Rasmussen,et al.  Tests of X- and K-Joints in SHS Stainless Steel Tubes , 2001 .

[34]  Ben Young,et al.  Investigation of cold-formed stainless steel non-slender circular hollow section columns , 2007 .

[35]  Ben Young,et al.  Compression tests of stainless steel tubular members , 2002 .

[36]  Ran Yang,et al.  Study on the Bending Capacity of Cold-formed Stainless Steel Hollow Sections , 2016 .

[37]  David A. Nethercot,et al.  Resistance of stainless steel CHS columns based on cross-section deformation capacity , 2008 .

[38]  Yating Liang,et al.  Experimental and numerical investigations of circular recycled aggregate concrete-filled stainless steel tube columns , 2021 .

[39]  Sajjad Tohidi,et al.  Lateral-torsional buckling capacity assessment of web opening steel girders by artificial neural networks — elastic investigation , 2014 .

[40]  G. Shu,et al.  Design of cold-rolled stainless steel rectangular hollow section columns , 2020 .

[41]  Yating Liang,et al.  Behaviour and residual compression resistances of circular high strength concrete-filled stainless steel tube (HCFSST) stub columns after exposure to fire , 2020 .

[42]  Amir Hossein Alavi,et al.  A new prediction model for the load capacity of castellated steel beams , 2011 .