TECHNICAL PAPERS
Mar 2, 2009

Flexural Buckling of Elliptical Hollow Section Columns

Publication: Journal of Structural Engineering
Volume 135, Issue 5

Abstract

Complementary to recent studies on the cross-section behavior of elliptical hollow sections, investigations into the member response have also been performed and described in this paper. The first stage of these investigations involved a series of precise column buckling tests on hot-finished steel elliptical hollow sections. In total, 24 flexural buckling tests about the minor and major axes were carried out. Specimen sizes and lengths were carefully chosen in order to cover a wide range of both cross section and member slendernesses. The nondimensional column slenderness of the test specimens varied between 0.19 and 1.58. Measurements were taken of specimen geometry, global initial geometric imperfections, and tensile material properties. Key results from the tests including the full load-deformation histories have been presented and discussed. The test results have also been supplemented by 158 numerically generated results, allowing a wider range of geometries to be investigated. Design rules for the member buckling resistance of elliptical hollow section columns have been proposed and verified by means of reliability analysis. The results presented are the first member buckling tests on elliptical hollow sections, and represent part of the development of comprehensive structural design rules for these sections.

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Acknowledgments

The writers are grateful to the Dorothy Hodgkin Postgraduate Award Scheme for project funding, and would like to thank Corus Tubes for the supply of test specimens and funding contributions, Andrew Orton (Corus Tubes) and Ada Law (Imperial College London) for their technical input, and Ron Millward (Imperial College London) for his assistance in the laboratory works.

References

ABAQUS. (2006). ABAQUS, Version 6.6, Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, R.I.
AISC. (2005). Specification for structural steel buildings, AISC 360, Chicago.
Allen, H. G., and Bulson, P. S. (1980). Background to buckling, McGraw-Hill, London.
ASTM. (2005). Standard specification for hot-formed welded and seamless carbon steel structural tubing, ASTM A501, West Conshohocken, Pa.
Ayrton, W. E., and Perry, J. (1886). “On struts.” Engineer (London), 62, 464–465.
Bartlette, R. M., Dexter, R. J., Graeser, M., Jelinek, J. J., Schmidt, B. J., and Galambos, T. V. (2003). “Updating standard shape material properties database for design and reliability.” Eng. J., 40(1), 2–14.
Batterman, R. H., and Johnston, B. G. (1967). “Behavior and maximum strength of metal columns.” J. Struct. Div., 93(2), 205–230.
Beedle, L. S., ed.-in-chief (1991). Stability of metal structures: A world view, 2nd Ed., Structural Stability Research Council, Lehigh Univ., Bethlehem, Pa.
Beer, H., and Schulz, G. (1970). “Bases théoriques des courbes européennes de flambement.” Constr. Metallique, 3, 37–57.
Bild, S., and Trahair, N. S. (1989). “In-plane strengths of steel columns and beam-columns.” J. Constr. Steel Res., 13(1), 1–22.
Bjorhovde, R. (1972). “Deterministic and probabilistic approaches to the strength of steel columns.” Ph.D. thesis, Lehigh Univ., Bethlehem, Pa.
Bjorhovde, R. (1977). “Strength and behaviour of cold-formed HSS columns.” Structural Engineering Rep. No. 65, Dept. of Civil Engineering, Univ. of Alberta, Edmonton, Alta., Canada.
Bjorhovde, R. (1978). “The safety of steel columns.” J. Struct. Div., 104(3), 463–477.
Bjorhovde, R., and Tall, L. (1971). “Maximum column strength and the multiple column curve concept.” Fritz Engineering Laboratory Rep. No. 338.29, Lehigh Univ., Bethlehem, Pa.
Bortolotti, E., Jaspart, J. P., Pietrapertosa, C., Nicaud, G., Petitjean, P. D., and Grimault, J. P. (2003). “Testing and modelling of welded joints between elliptical hollow sections.” Proc., 10th Int. Symp. on Tubular Structures, Madrid, Spain, Balkema, Rotterdam, The Netherlands, 259–266.
Byfield, M. P., and Nethercot, D. A. (1997). “Material and geometric properties of structural steel for use in design.” Struct. Eng., 75(21), 363–367.
Chan, T. M. (2007). “Structural behaviour of elliptical hollow sections.” Ph.D. thesis, Imperial College, London.
Chan, T. M., and Gardner, L. (2008a). “Bending strength of hot-rolled elliptical hollow sections.” J. Constr. Steel Res., 64(9), 971–986.
Chan, T. M., and Gardner, L. (2008b). “Compressive resistance of hot-rolled elliptical hollow sections.” Eng. Struct., 30(2), 522–532.
Choo, Y. S., Liang, J. X., and Lim, L. V. (2003). “Static strength of elliptical hollow section X-joint under brace compression.” Proc., 10th Int. Symp. on Tubular Structures, Madrid, Spain, Balkema, Rotterdam, The Netherlands, 253–258.
Corus (2006a). Celsius 355 Ovals, Corus Tubes—Structural & Conveyance Business, Corby, U.K.
Corus (2006b). Celsius 355 Ovals—Sizes and resistances Eurocode version, Corus Tubes—Structural & Conveyance Business, Corby, U.K.
Davison, T. A., and Birkemoe, P. C. (1983). “Column behaviour of cold-formed hollow structural steel shapes.” Can. J. Civ. Eng., 10(1), 125–141.
European Committee for Standardization (CEN). (2002). Eurocode 3—Basis of structural design, EN 1990, Brussels, Belgium.
European Committee for Standardization (CEN). (2005). Eurocode 3: Design of steel structures—Part 1-1: General rules and rules for buildings, EN 1993-1-1, Brussels, Belgium.
European Committee for Standardization (CEN). (2006). Hot finished structural hollow sections of non-alloy and fine grain steels—Part 2: Tolerances, dimensions and sectional properties, EN 10210-2, Brussels, Belgium.
Galambos, T. V., ed. (1998). Guide to stability design criteria for metal structures, 5th Ed., Wiley, New York.
Gardner, L., and Chan, T. M. (2007). “Cross-section classification of elliptical hollow sections.” Steel Compos. Struct., 7(3), 185–200.
Gardner, L., Chan, T. M., and Wadee, M. A. (2008). “Shear response of elliptical hollow sections.” Proc. Inst. Civ. Eng., Struct. Build., 161(6), 301–309.
Gardner, L., and Nethercot, D. A. (2004). “Numerical modeling of stainless steel structural components—A consistent approach.” J. Struct. Eng., 130(10), 1586–1601.
Jacquet, J. (1970). “Essais de flambement et exploitation statistique.” Constr. Metallique, 3, 13–36.
Janns, J., Sedlacek, G., Maquoi, R., Ungermann, D., and Kuck, J. (1989). Background document 5.03 for chapter 5 of Eurocode 3, Part 1—Evaluation of test results on columns, beams and beam-columns with cross-sectional classes 1–3 in order to obtain strength functions and suitable model factors. Commission of the European Communities.
Maquoi, R., and Rondal, J. (1978). “Mise en équation des nouvelles courbes européennes de flambement.” Constr. Metallique, 1, 17–30.
Pietrapertosa, C., and Jaspart, J. P. (2003). “Study of the behaviour of welded joints composed of elliptical hollow sections.” Proc., 10th Int. Symp. on Tubular Structures, Madrid, Spain, Balkema, Rotterdam, The Netherlands, 601–608.
Robertson, A. (1925). “The strength of struts.” Paper 28. Institution of Civil Engineers, London.
Rotter, J. M. (1982). “Multiple column curves by modifying factors.” J. Struct. Div., 108(7), 1665–1669.
Roufegarinejad, A., and Bradford, M. A. (2007). “Local buckling of thin-walled elliptical tubes containing an elastic infill.” Proc., 3rd Int. Conf. on Steel and Composite Structures, Manchester, U.K., Taylor & Francis, London, 943–948.
Ruiz-Teran, A. M., and Gardner, L. (2008). “Elastic buckling of elliptical tubes.” Thin-Walled Struct., 46(11), 1304–1318.
Sfintesco, D. (1970). “Fondement expérimental des courbes Européennes de flambement.” Constr. Metallique, 3, 5–12.
Stamenkovic, A., and Gardner, M. J. (1983). “Effect of residual stresses on the column behaviour of hot-finished steel structural hollow sections.” Proc. Inst. Civ. Eng., Part 2. Res. Theory, 75, 599–616.
Standards Australia. (1991). Structural steel hollow sections, AS 1163, Homebush, New South Wales, Australia.
Standards Australia. (1998). Steel structures, AS 4100, Homebush, New South Wales, Australia.
Tide, R. H. R. (1985). “Reasonable column design equations.” Proc., Annual Technical Session of Structural Stability Research Council, Cleveland, Ohio, 47–55.
Tide, R. H. R. (2001). “A technical note: Derivation of the LRFD column design equations.” Eng. J., 38(3), 137–139.
Trahair, N. S., and Bradford, M. A. (1998). The behaviour and design of steel structures to AS 4100, 3rd Ed., E & FN Spon, London.
Viñuela-Rueda, L., and Martinez-Salcedo, J. (2006). “Steel structure and prestressed façade of the new terminal building.” Hormigon Acero, 239(1), 71–84.
Willibald, S., Packer, J. A., and Martinez-Saucedo, G. (2006). “Behaviour of gusset plate connections to ends of round and elliptical hollow structural section members.” Can. J. Civ. Eng., 33(4), 373–383.
Yang, H., Lam, D., and Gardner, L. (2008). “Testing and analysis of concrete-filled elliptical hollow sections.” Eng. Struct., 30(12), 3771–3781.
Young, B., and Chen, J. (2008). “Design of cold-formed steel built-up closed sections with intermediate stiffeners.” J. Struct. Eng., 134(5), 727–737.
Zhao, X. L., Lu, H., and Galteri, S. (2007). “Tests of elliptical hollow sections filled with SCC (self-compacting concrete).” Proc., 5th Int. Conf. on Advances in Steel Structures, Singapore, Research Publishing Services, Singapore, 950–955.
Zhu, Y., and Wilkinson, T. (2006). “Finite-element analysis of structural steel elliptical hollow sections in pure compression.” Proc., 11th Int. Symp. on Tubular Structures, Québec City, Canada, Taylor & Francis, London, 179–186.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 135Issue 5May 2009
Pages: 546 - 557

History

Received: Jan 18, 2008
Accepted: Oct 25, 2008
Published online: Mar 2, 2009
Published in print: May 2009

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Assistant Professor, School of Engineering, Univ. of Warwick, Coventry CV4 7AL, U.K. (corresponding author). E-mail: [email protected]
Senior Lecturer, Dept. of Civil and Environmental Engineering, South Kensington Campus, Imperial College, London SW7 2AZ, U.K. E-mail: [email protected]

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