The continuous strength method for the design of circular hollow sections

Abstract Circular hollow sections (CHS) are widely used in a range of structural engineering applications. Their design is covered by all major design codes, which currently use elastic, perfectly-plastic material models and cross-section classification to determine cross-secti\on compressive and flexural resistances. Experimental data for stocky sections show that this can result in overly conservative estimates of cross-section capacity. The continuous strength method (CSM) has been developed to reflect better the observed behaviour of structural sections of different metallic materials. The method is deformation based and allows for the rational exploitation of strain hardening. In this paper, the CSM is extended to cover the design of non-slender and slender structural steel, stainless steel and aluminium CHS, underpinned by and validated against 342 stub column and bending test results. Comparisons with the test results show that, overall, the CSM on average offers more accurate and less scattered predictions of axial and flexural capacities than existing design methods.

[1]  P. C. Birkemoe,et al.  BEAM-COLUMN BEHAVIOR OF FABRICATED STEEL TUBULAR MEMBERS , 1992 .

[2]  Hui Jiao,et al.  Imperfection, residual stress and yield slenderness limit of very high strength (VHS) circular steel tubes , 2003 .

[3]  Raphael H. Grzebieta,et al.  Tests on concrete filled double-skin (CHS outer and SHS inner) composite short columns under axial compression , 2002 .

[4]  Esther Real,et al.  Comparative study of analytical expressions for the modelling of stainless steel behaviour , 2014 .

[5]  Thomas D. O'Rourke,et al.  Compression Behavior of Nonslender Cylindrical Steel Members with Small and Large-Scale Geometric Imperfections , 2006 .

[6]  Xiao Ling Zhao,et al.  Section capacity of very high strength (VHS) circular tubes under compression , 2000 .

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

[8]  Xiao Ling Zhao,et al.  CFDST stub columns subjected to large deformation axial loading , 2010 .

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

[10]  Ben Young,et al.  Experimental investigation of aluminum alloy circular hollow section columns , 2006 .

[11]  Leroy Gardner,et al.  Material and local buckling response of ferritic stainless steel sections , 2015 .

[12]  Uwe Starossek,et al.  The interaction of steel tube and concrete core in concrete-filled steel tube columns , 2008 .

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

[14]  Raphael H. Grzebieta,et al.  Strength of circular hollow sections (CHS) tubular beams externally reinforced by carbon FRP sheets in pure bending , 2009 .

[15]  James O Jirsa,et al.  OVALING OF PIPELINES UNDER PURE BENDING. , 1972 .

[16]  W. F. Chen,et al.  Tests of fabricated tubular columns, September 1978. , 1978 .

[17]  Hiroyuki Nakahara,et al.  Behavior of centrally loaded concrete-filled steel-tube short columns , 2004 .

[18]  Lei Chen,et al.  Nonlinear stability of thin elastic cylinders of different length under global bending , 2014 .

[19]  Tak-Ming Chan,et al.  Bending strength of hot-rolled elliptical hollow sections , 2008 .

[20]  Tatsuhiko Ine,et al.  Basic Studies on the Crashworthiness of Structural Elements (Part 5) , 1988 .

[21]  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 .

[22]  Jeffrey A. Packer,et al.  Rehabilitation of tubular members with carbon reinforced polymers , 2006 .

[23]  Ben Young,et al.  Aluminum alloy circular hollow section beam-columns , 2006 .

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

[25]  Andrew Liew,et al.  INFLUENCE OF STRAIN HARDENING ON THE BEHAVIOR AND DESIGN OF STEEL STRUCTURES , 2011 .

[26]  Andrew Liew.  Design of structural steel elements with the Continuous Strength Method , 2014 .

[27]  G. Kiymaz.  Strength and stability criteria for thin-walled stainless steel circular hollow section members under bending , 2005 .

[28]  P. Seide,et al.  On the Buckling of Circular Cylindrical Shells Under Pure Bending , 1961 .

[29]  Joanna Nseir.  Development of a new design method for the cross-section capacity of steel hollow sections , 2015 .

[30]  Teruyasu Kamba,et al.  STUB COLUMN TEST OF HIGH-STRENGTH CRS STEEL COLUMN WITH SMALL DIAMETER-TO-THICKNESS RATIO , 1998 .

[31]  Yan Xiao,et al.  Confined Concrete-Filled Tubular Columns , 2005 .

[32]  Hui Jiao,et al.  Section slenderness limits of very high strength circular steel tubes in bending , 2004 .

[33]  Lanhui Guo,et al.  Behavior of thin-walled circular hollow section tubes subjected to bending , 2013 .

[34]  D. Sherman.  TESTS OF CIRCULAR STEEL TUBES IN BENDING , 1976 .

[35]  Tao Yu,et al.  Hybrid FRP-concrete-steel double-skin tubular columns with a square outer tube and a circular inner tube: Stub column tests , 2010 .

[36]  Stelios Kyriakides,et al.  Plastic buckling of tubes under axial compression and internal pressure , 2006 .

[37]  Sabrina Fawzia,et al.  Durability study of CFRP strengthened steel circular hollow section members under marine environment , 2014 .

[38]  Andrew Foster.  Stability and design of steel beams in the strain-hardening range , 2013 .

[39]  J. Liew,et al.  Experimental investigation on tubular columns infilled with ultra-high strength concrete , 2010 .

[40]  W. Flügge,et al.  Die Stabilität der Kreiszylinderschale , 1932 .

[41]  Yutaka Toi,et al.  Basic Studies on the Crashworthiness of Structural Elements , 1986 .

[42]  Ben Young,et al.  Testing and Design of Aluminum Alloy Cross Sections in Compression , 2014 .

[43]  Tak-Ming Chan,et al.  Compressive resistance of hot-rolled elliptical hollow sections , 2008 .

[44]  L. Gardner,et al.  Description of stress-strain curves for stainless steel alloys , 2015 .

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

[46]  Kim J.R. Rasmussen,et al.  Recent research on stainless steel tubular structures , 2000 .

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

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

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

[50]  Dennis Lam,et al.  Axial capacity of circular concrete-filled tube columns , 2004 .

[51]  C. R. Calladine,et al.  Classical buckling of a thin-walled tube subjected to bending moment and internal pressure , 1978 .

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

[53]  Lin-Hai Han,et al.  Experiments on special-shaped CFST stub columns under axial compression , 2014 .

[54]  S. T. Mau,et al.  Performance of New Sandwich Tube under Axial Loading: Experiment , 1995 .

[55]  N. R. Baddoo,et al.  Structural design of stainless steel members — comparison between Eurocode 3, Part 1.4 and test results , 2000 .

[56]  Raphael H. Grzebieta,et al.  Bending tests to determine slenderness limits for cold-formed circular hollow sections , 2002 .

[57]  Herbert Becker,et al.  Handbook of Structural Stability Part I: Buckling of Flat Plates , 1957 .

[58]  Ben Young,et al.  Concrete-filled aluminum circular hollow section column tests , 2009 .

[59]  L. Donnell,et al.  A New Theory for the Buckling of Thin Cylinders Under Axial Compression and Bending , 1934, Journal of Fluids Engineering.

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

[61]  Andrew Liew,et al.  The continuous strength method for circular hollow sections , 2015 .

[62]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[63]  A. M. Gresnigt,et al.  Local Buckling of UOE And Seamless Steel Pipes , 2001 .

[64]  Luís Simões da Silva,et al.  Design of Steel Structures: Eurocode 3: Design of Steel Structures, Part 1-1: General Rules and Rules for Buildings , 2010 .

[65]  Jin-Guang Teng,et al.  Behaviour of FRP-jacketed circular steel tubes and cylindrical shells under axial compression , 2007 .

[66]  Dipak Dutta.  Structures with Hollow Sections , 2002 .

[67]  Russell Q. Bridge,et al.  Local buckling of thin-walled circular steel sections with or without internal restraint , 1997 .

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

[69]  Hitoshi Kuwamura,et al.  2029 Local Buckling of High-Strength Thin-Walled Stainless Steel Members(STRUCTURES) , 2001 .

[70]  Kent Gylltoft,et al.  Mechanical Behavior of Circular Steel-Concrete Composite Stub Columns , 2002 .