Technical Papers
Aug 18, 2020

Behavior and Design of Normal- and High-Strength Steel SHS and RHS Columns

Publication: Journal of Structural Engineering
Volume 146, Issue 11

Abstract

The behavior and design of hot-rolled and cold-formed steel square and rectangular hollow section (SHS and RHS) columns, made of both normal- and high-strength material, are addressed in this paper. A series of experiments on hot-rolled high-strength steel SHS columns was first conducted—six tests on S690 SHS 100×100×4 columns and six tests on S770 SHS 120×120×6.3 columns were performed. Finite-element (FE) models were developed to replicate the experimental results and to carry out parametric studies to expand the column buckling data pool. The accuracy of the European and North American buckling design rules for normal- and high-strength steel SHS and RHS columns was evaluated through comparisons with the freshly generated test and FE results, as well as with existing test data collected from the literature. Finally, a modified approach was proposed and statistically verified in accordance with existing standards; the new approach features an imperfection factor that is a continuous function of yield strength, reflecting the reducing relative influence of residual stresses and global imperfections with increasing steel grades. Improved consistency in resistance predictions over the existing design provisions is demonstrated across a wide range of steel grades and relative slenderness values.

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Acknowledgments

The authors gratefully acknowledge the Skempton scholarship from Imperial College London for the financial support. The authors would also like to thank Trevor Stickland and Soh Harn Chong for their assistance during the experiments.

References

Afshan, S., P. Francis, N. R. Baddoo, and L. Gardner. 2015. “Reliability analysis of structural stainless steel design provisions.” J. Constr. Steel Res. 114 (Nov): 293–304. https://doi.org/10.1016/j.jcsr.2015.08.012.
Afshan, S., B. Rossi, and L. Gardner. 2013. “Strength enhancements in cold-formed structural sections—Part I: Material testing.” J. Constr. Steel Res. 83 (Apr): 177–188. https://doi.org/10.1016/j.jcsr.2012.12.008.
AISC (American Institute of Steel Construction). 2016. Specification for structural steel buildings. ANSI/AISC 360-16. Chicago: AISC.
ASTM. 2015. Standard specification for cold-formed welded carbon steel hollow structural sections (HSS). ASTM A1085/A1085M. West Conshohocken, PA: ASTM.
ASTM. 2018. Standard specification for high-yield-strength, quenched and tempered alloy steel plate, suitable for welding. ASTM A514/A514M–18e1. West Conshohocken, PA: ASTM.
Ayrton, W. E., and J. Perry. 1886. “On struts.” The Engineer 62: 464–465, 513–515.
Ban, H., G. Shi, Y. Shi, and M. A. Bradford. 2013. “Experimental investigation of the overall buckling behaviour of 960 MPa high strength steel columns.” J. Constr. Steel Res. 88: 256–266. https://doi.org/10.1016/j.jcsr.2013.05.015.
Beer, H., and G. Schulz. 1970. “Bases théoriques des courbes européennes de flambement.” [In French.] Construction Métallique, 3: 5–12.
Bjorhovde, R. 1977. Strength and behavior of cold-formed HSS columns. Edmonton, AB, Canada: Univ. of Alberta.
Boissonnade, N., R. Geriner, J. P. Jaspart, and J. Lindner. 2006. Rules for member stability in EN 1993-1-1: Background documentation and design guidelines, Guide to stability design criteria for metal structures. Brussels, Belgium: European Convention for Constructional Steelwork.
Braham, M., J. P. Grimault, and J. Rondal. 1979. Flambement des profils creux á parois minces, cas des profils rectangulaires chargés axialement. Altendorf, Switzerland: Committee for International Development and Education on Construction of Tubular Structures.
CEN (European Committee for Standardization). 2002. Eurocode—Basis of structural design. EN 1990:2002. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2005. Eurocode 3: Design of steel structures—Part 1-1: General rules and rules for buildings. EN 1993-1-1:2005. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2006a. Cold formed welded structural hollow sections of non-alloy and fine grain steels—Part 2: Tolerances, dimensions and sectional properties. EN 10219-2:2006. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2006b. Eurocode 3—Design of steel structures—Part 1-5: Plated structural elements. EN 1993-1-5. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2006c. Hot finished structural hollow sections of non-alloy and fine grain steels—Part 2: Tolerances, dimensions and sectional properties. EN 10210-2. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2007. Eurocode 3—Design of steel structures—Part 1-12: Additional rules for the extension of EN 1993 up to steel grades S 700. EN 1993-1-12. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2016. Metallic materials—Tensile testing Part 1: Method of test at room temperature. EN ISO 6892-1. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2018. Eurocode 3—Design of steel structures—Part 1-1: General rules and rules for buildings. EN 1993-1-1:2018. Brussels, Belgium: CEN.
Chan, T. M., L. Gardner, and K. H. Law. 2010. “Structural design of elliptical hollow sections: A review.” Proc. Inst. Civ. Eng. Struct. Build. 163 (6): 391–402. https://doi.org/10.1680/stbu.2010.163.6.391.
Cruise, R. B., and L. Gardner. 2008. “Strength enhancements induced during cold forming of stainless steel sections.” J. Constr. Steel Res. 64 (11): 1310–1316. https://doi.org/10.1016/j.jcsr.2008.04.014.
ECCS (European Convention for Constructional Steelwork). 1984. Ultimate limit state calculation of sway framed with rigid joints. Brussels, Belgium: ECCS.
Gardner, L., N. Saari, and F. Wang. 2010. “Comparative experimental study of hot-rolled and cold-formed rectangular hollow sections.” Thin-Walled Struct. 48 (7): 495–507. https://doi.org/10.1016/j.tws.2010.02.003.
Gardner, L., and X. Yun. 2018. “Description of stress-strain curves for cold-formed steels.” Constr. Build. Mater. 189 (Nov): 527–538. https://doi.org/10.1016/j.conbuildmat.2018.08.195.
Guiaux, P. 1972. Essais de flambement sur profils creux formes a froid, carres et circulaires. CIDECT 72/28/F. Altendorf, Switzerland: Committee for International Development and Education on Construction of Tubular Structures.
Huang, Y., and B. Young. 2018. “Design of cold-formed stainless steel circular hollow section columns using direct strength method.” Eng. Struct. 163 (May): 177–183. https://doi.org/10.1016/j.engstruct.2018.02.012.
Jandera, M., L. Gardner, and J. Machacek. 2008. “Residual stresses in cold-rolled stainless steel hollow sections.” J. Constr. Steel Res. 64 (11): 1255–1263. https://doi.org/10.1016/j.jcsr.2008.07.022.
Key, P. W., S. W. Hasan, and G. J. Hancock. 1988. “Column behavior of cold-formed hollow sections.” J. Struct. Eng. 114 (2): 390–407. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:2(390).
Law, K. H., and L. Gardner. 2012. “Lateral instability of elliptical hollow section beams.” Eng. Struct. 37 (Apr): 152–166. https://doi.org/10.1016/j.engstruct.2011.12.008.
Ma, J. L. 2016. “Behaviour and design of cold-formed high strength steel tubular members.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Hong Kong.
Ma, J. L., T. M. Chan, and B. Young. 2016. “Experimental investigation on stub-column behavior of cold-formed high-strength steel tubular sections.” J. Struct. Eng. 142 (5): 04015174. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001456.
Ma, J. L., T. M. Chan, and B. Young. 2019. “Cold-formed high-strength steel rectangular and square hollow sections under combined compression and bending.” J. Struct. Eng. 145 (12): 04019154. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002446.
Meng, X., and L. Gardner. 2020a. “Simulation and design of semi-compact elliptical hollow sections.” Eng. Struct. 202 (Jan): 109807. https://doi.org/10.1016/j.engstruct.2019.109807.
Meng, X., and L. Gardner. 2020b. “Testing of hot-finished high strength steel SHS and RHS under combined compression and bending.” Thin-Walled Struct. 148 (Mar): 106262. https://doi.org/10.1016/j.tws.2019.106262.
Meng, X., L. Gardner, A. J. Sadowski, and J. M. Rotter. 2020. “Elasto-plastic behaviour and design of semi-compact circular hollow sections.” Thin-Walled Struct. 148 (Mar): 106486. https://doi.org/10.1016/j.tws.2019.106486.
Pavlovcic, L., B. Froschmeier, U. Kuhlmann, and D. Beg. 2012. “Finite element simulation of slender thin-walled box columns by implementing real initial conditions.” Adv. Eng. Software 44 (1): 63–74. https://doi.org/10.1016/j.advengsoft.2011.05.036.
Rasmussen, K. J. R., and G. J. Hancock. 1993. “Design of cold-formed stainless steel tubular members. I: Columns.” J. Struct. Eng. 119 (8): 2349–2367. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:8(2349).
Rasmussen, K. J. R., and G. J. Hancock. 1995. “Tests of high strength steel columns.” J. Constr. Steel Res. 34 (1): 27–52. https://doi.org/10.1016/0143-974X(95)97296-A.
Rondal, J. 1984. “Contribution à l'étude de la stabilité des profils creux à parois minces.” Ph.D. thesis, Faculté des sciences appliquées, Univ. of Liège.
Rossi, B., S. Afshan, and L. Gardner. 2013. “Strength enhancements in cold-formed structural sections—Part II: Predictive models.” J. Constr. Steel Res. 83 (Apr): 189–196. https://doi.org/10.1016/j.jcsr.2012.12.007.
Salvarinas, J. J., J. D. Barber, and P. C. Birkemoe. 1978. An experimental investigation of the column behaviour of cold-formed stress-relieved hollow structural steel sections. CIDECT 2F-78/10. Altendorf, Switzerland: Committee for International Development and Education on Construction of Tubular Structures.
Schillo, N., and M. Feldmann. 2018. “Interaction of local and global buckling of box sections made of high strength steel.” Thin-Walled Struct. 128 (Jul): 126–140. https://doi.org/10.1016/j.tws.2017.07.009.
Sedlacek, G., B. Kuhn, J. Rondal, and P. Boeraeve. 1999. Buckling behaviour of hot-formed SHS in high strength steel grade E-460. CIDECT 2T-2/99. Altendorf, Switzerland: Committee for International Development and Education on Construction of Tubular Structures.
Sedlacek, G., J. Rondal, P. Boeraeve, N. Stranghöner, R. Schneider, and D. Grotmann. 1996. Buckling behaviour of a new generation of cold-formed hollow sections. Altendorf, Switzerland: Committee for International Development and Education on Construction of Tubular Structures.
Sfintesco, D., and A. Carpena. 1977. “Experimental bases of the ECCS column curves.” In Proc., 2nd Int. Colloquium on Stability, 68–75. Bethlehem, PA: Lehigh Univ., Secretary, Structural Stability Research Council.
Simões da Silva, L., T. Tankova, L. Marques, U. Kuhlmann, A. Kleiner, J. Spiegler, H. H. Snijder, R. Dekker, A. Taras, and N. Popa. 2017. “Safety assessment across modes driven by plasticity, stability and fracture.” In Proc., Eurosteel 2017, 3689–3698. Berlin: Ernst & Sohn.
Somodi, B., and B. Kövesdi. 2017. “Flexural buckling resistance of cold-formed HSS hollow section members.” J. Constr. Steel Res. 128 (Jan): 179–192. https://doi.org/10.1016/j.jcsr.2016.08.014.
SSAB. 2014. Axial resistance of double grade (S355, S420) hollow sections manufactured by SSAB, statistical evaluation based on tests. Helsinki, Finland: SSAB.
Starting, S., and H. Vos. 1973. “Computer simulation of the E.C.C.S. buckling curve using a Monte-Carlo method.” HERON 19 (2): 3–38.
Sully, R. M., and G. J. Hancock. 1996. “Behavior of cold-formed SHS beam-columns.” J. Struct. Eng. 122 (3): 326–336. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:3(326).
Taras, A., and R. Greiner. 2010. “New design curves for lateral-torsional buckling—Proposal based on a consistent derivation.” J. Constr. Steel Res. 66 (5): 648–663. https://doi.org/10.1016/j.jcsr.2010.01.011.
Toffolon, A., and A. Taras. 2019. “Development of an OIC-Type local buckling design approach for cold-formed unstiffened and groove-stiffened hollow sections.” Thin-Walled Struct. 144 (Nov): 106266. https://doi.org/10.1016/j.tws.2019.106266.
Walport, F., L. Gardner, E. Real, I. Arrayago, and D. A. Nethercot. 2019. “Effects of material nonlinearity on the global analysis and stability of stainless steel frames.” J. Constr. Steel Res. 152 (Jan): 173–182. https://doi.org/10.1016/j.jcsr.2018.04.019.
Wang, J., S. Afshan, M. Gkantou, M. Theofanous, C. Baniotopoulos, and L. Gardner. 2016. “Flexural behaviour of hot-finished high strength steel square and rectangular hollow sections.” J. Constr. Steel Res. 121 (Jun): 97–109. https://doi.org/10.1016/j.jcsr.2016.01.017.
Wang, J., S. Afshan, N. Schillo, M. Theofanous, M. Feldmann, and L. Gardner. 2017. “Material properties and compressive local buckling response of high strength steel square and rectangular hollow sections.” Eng. Struct. 130 (Jan): 297–315. https://doi.org/10.1016/j.engstruct.2016.10.023.
Wang, J., and L. Gardner. 2017. “Flexural buckling of hot-finished high-strength steel SHS and RHS columns.” J. Struct. Eng. 143 (6): 04017028. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001763.
Yun, X., and L. Gardner. 2017. “Stress-strain curves for hot-rolled steels.” J. Constr. Steel Res. 133 (Jun): 36–46. https://doi.org/10.1016/j.jcsr.2017.01.024.
Yun, X., and L. Gardner. 2018. “The continuous strength method for the design of cold-formed steel nonslender tubular cross-sections.” Eng. Struct. 175 (Nov): 549–564. https://doi.org/10.1016/j.engstruct.2018.08.070.
Yun, X., L. Gardner, and N. Boissonnade. 2018. “The continuous strength method for the design of hot-rolled steel cross-sections.” Eng. Struct. 157 (Feb): 179–191. https://doi.org/10.1016/j.engstruct.2017.12.009.
Zhao, O., L. Gardner, and B. Young. 2019. “Finite element modelling and design of stainless steel SHS and RHS beam-columns under moment gradients.” Thin Walled Struct. 134 (Jan): 220–232. https://doi.org/10.1016/j.tws.2018.10.004.
Ziemian, R. D. 2010. Guide to stability design criteria for metal structures. 6th ed. Hoboken, NJ: Wiley.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 146Issue 11November 2020

History

Received: Nov 22, 2019
Accepted: Mar 2, 2020
Published online: Aug 18, 2020
Published in print: Nov 1, 2020
Discussion open until: Jan 18, 2021

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Ph.D. Candidate, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK (corresponding author). Email: [email protected]
Professor of Structural Engineering, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK. ORCID: https://orcid.org/0000-0003-0126-6807. Email: [email protected]

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