Lateral-Distortional Buckling of Hollow Flange Beams
Publication: Journal of Structural Engineering
Volume 123, Issue 6
Abstract
While the flanges of cold-formed hollow flange beams (HFBs) are very stiff torsionally, their webs are comparatively flexible, and may allow web distortion effects to reduce their resistances to lateral buckling. There is no simple formulation for predicting the effects of web distortion on the lateral buckling of HFBs. As a result, structural designers are unable either to check or to extend the available elastic buckling predictions; thus code writers are not able to provide explicit formulations for the effects of distortion. The conversion from elastic buckling to strength for HFBs is also questionable, since cold-formed beams have different stress-strain curves, residual stresses, and geometrical imperfections from those of hot-formed beams. This paper deals with these problems, first by finding a simple but sufficiently accurate closed-form solution for the effects of distortion on the elastic lateral buckling of simply supported HFBs in uniform bending, and then by developing an advanced theoretical method of predicting the effects of the stress-strain curve, residual stresses, and geometrical imperfections on the strengths of HFBs that fail by lateral-distortional buckling. Such a method allows the development of a conversion from elastic buckling to strength, which is appropriate for HFBs. The use of this conversion together with the simple approximation developed here for elastic lateral-distortional buckling provides a rational basis for the lateral buckling design of unbraced HFBs.
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References
1.
AS1250-1981; steel structures. (1981). Standards Assn. of Australia, Sydney, Australia.
2.
AS1358-1988; cold-formed steel structures. (1988). Standards Assn. of Australia, Sydney, Australia.
3.
AS4100-1990; steel structures. (1990). Standards Assn. of Australia, Sydney, Australia.
4.
BHP hot rolled and structural steel products. (1994). BHP Steel, Melbourne, Australia.
5.
Bleich, F. (1952). Buckling strength of metal structures. McGraw-Hill Book Co., Inc., New York, N.Y.
6.
Bradford, M. A. (1992). “Lateral-distortional buckling of steel I-section members.”J. Constr. Steel Res., 23(1–3), 97–116.
7.
BS5950:Part 1:1990; structural use of steelwork in building, part 1, code of practice for design in simple and continuous construction: hot-rolled sections. (1990). British Standards Inst., London, England.
8.
CAN/CSA-S16.1-M89; limit states design of steel structures. (1989). Canadian Standards Assn., Toronto, Canada.
9.
Cheung, Y.-K. (1976). Finite strip method in structural analysis. Pergamon Press, New York, N.Y.
10.
Chin, C. K., Al-Bermani, F. G. A., and Kitipornchai, S.(1992). “Stability of thin-walled members having arbitrary flange shape and flexible web.”Engrg. Struct., 14(2), 121–132.
11.
Dempsey, R. I. (1990). “Structural behaviour and design of hollow flange beams.”Proc., 2nd Nat. Struct. Engrg. Conf., Inst. of Engineers, Barton, ACT, Australia, 327–335.
12.
Dempsey, R. I. (1993). Hollow flange beam member design manual. Palmer Tube Technologies Pty Ltd., Acacia Ridge, Queensland, Australia.
13.
Eurocode No. 3: design of steel structures, part 1: general rules for building. (1990). Commission of European Communities, Brussels, Belgium.
14.
Galambos, T. V. (ed.) (1988). Guide to stability design criteria for metal structures, 4th Ed., John Wiley & Sons, Inc., New York, N.Y.
15.
Hancock, G. J.(1978). “Local, distortional, and lateral buckling of I-beams.”J. Struct. Div., ASCE, 104(11), 1787–1798.
16.
Hancock, G. J. (1994). Design of cold-formed steel structures, 2nd Ed., Australian Inst. of Steel Constr., Sydney, Australia.
17.
Hancock, G. J., and Papangelis, J. P. (1994). THIN-WALL user's manual. Ctr. for Advanced Struct. Engrg., Univ. of Sydney, Sydney, Australia.
18.
Hancock, G. J., Bradford, M. A., and Trahair, N. S.(1980). “Web distortion and flexural-torsional buckling.”J. Struct. Div., ASCE, 106(7), 1557–1571.
19.
Handbook of structural stability. (1971). Column Res. Committee of Japan, Corona, Tokyo, Japan.
20.
Heldt, T., and Mahendran, M. (1992a). “Distortional buckling analysis of hollow flange beams.”Res. Rep. 92-8, Phys. Infrastructure Ctr., Queensland Univ. of Technol., Brisbane, Australia.
21.
Heldt, T., and Mahendran, M. (1992b). “The buckling behaviour of hollow flange beams.”Proc., 11th Int. Spec. Conf. on Cold-Formed Steel Struct., Univ. of Missouri–Rolla, 131–144.
22.
Heldt, T., and Mahendran, M. (1994). “On the use of AS4100 for the design of hollow flange beams.”Res. Rep. 94-37, Phys. Infrastructure Ctr., Queensland Univ. of Technol., Brisbane, Australia.
23.
Heldt, T., and Mahendran, M. (1995a). “The buckling behaviour of hollow flange beams in portal frame buildings.”Proc., 4th Pacific Struct. Steel Conf., Singapore Struct. Steel Soc., Singapore, 173–180.
24.
Heldt, T., and Mahendran, M. (1995b). “Full scale tests of an HFB portal frame building.”Proc., Int. Conf. on Struct. Stability and Des., A. A. Balkema, Rotterdam, The Netherlands, 477–483.
25.
Heldt, T., and Mahendran, M. (1995c). “On the buckling behaviour of hollow flange beams.”Proc., 14th Australasian Conf. on Mech. of Struct. and Mat., Univ. of Tasmania, Hobart, Australia, 296–300.
26.
Key P. W., and Hancock(1993). “A theoretical investigation of the column behaviour of cold-formed square hollow sections.”Thin-Walled Struct., 16, 31–64.
27.
Load and resistance factor design specification for structural steel buildings. (1993). Am. Inst. of Steel Constr., Chicago, Ill.
28.
Pi, Y.-L., and Trahair, N. S.(1992a). “Prebuckling deflections and lateral buckling. I: Theory.”J. Struct. Engrg., ASCE, 118(11), 2949–2966.
29.
Pi, Y.-L., and Trahair, N. S.(1992b). “Prebuckling deflections and lateral buckling. II: Applications.”J. Struct. Engrg., ASCE, 118(11), 2967–2985.
30.
Pi, Y.-L., and Trahair, N. S.(1994). “Nonlinear inelastic analysis of steel beam-columns. I: Theory.”J. Struct. Engrg., ASCE, 120(7), 2041–2061.
31.
Pi, Y.-L., and Trahair, N. S.(1995). “Lateral buckling strengths of cold-formed rectangular hollow sections.”Thin-Walled Structures, 22, 71–95.
32.
Pi, Y.-L., and Trahair, N. S. (1996). “Lateral-distortional buckling theory for hollow flange beams.”Investigation Rep. S1047, Ctr. for Advanced Struct. Engrg., Univ. of Sydney, Sydney, Australia.
33.
Riley, J. T. (1994). “Lateral distortional buckling behaviour of hollow flange beams with web stiffeners,” BE thesis, School of Civ. Engrg., Queensland Univ. of Technol., Brisbane, Australia.
34.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill Book Co., Inc., New York, N.Y.
35.
Trahair, N. S. (1993). Flexural-torsional buckling of structures. E & FN Spon, London, England.
36.
Trahair, N. S., and Bradford, M. A. (1991). The behaviour and design of steel structures, 2nd Ed., Chapman & Hall, Ltd., London, England.
37.
Vlasov, V. Z. (1961). Thin-walled elastic beams, 2nd Ed., Israel Program for Scientific Translation, Jerusalem, Israel.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Jun 1, 1997
Published in print: Jun 1997
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