Thin‐Walled Steel Box Columns under Biaxial Loading
Publication: Journal of Structural Engineering
Volume 115, Issue 11
Abstract
A numerical method to investigate the ultimate strength behavior of thin‐walled steel box columns subjected to axial load and biaxial end moments is presented in this paper. The columns are of uniform cross section along the length and simply supported at the ends. The local buckling of the component plates is taken into account by applying the effective width formulas proposed in an earlier paper. Moment‐curvature‐thrust relationships for a locally buckled box section are developed by using the tangent stiffness method, and the column analysis is then carried out by integrating, numerically, the moment‐curvature‐thrust relationships along the length. Due allowance is made in the analysis to account for imperfections such as initial column deflections and welding residual stresses. The accuracy of the method is established by comparison with limited experimental results for uniaxially loaded columns. Results for biaxially loaded columns are presented in the form of interaction diagrams. Several parameters such as plate slenderness, column slenderness, level of residual stress, axial load, and load path have been considered.
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References
1.
Chiew, S. P., Lee, S L., and Shanmugam, N. E. (1987). “Experimental study of thin‐walled steel box columns.” J. Struct. Engrg., ASCE, 113(4), 2208–2220.
2.
Crisfield, M. A. (1973). “Large deflection elasto‐plastic buckling analysis of plates using finite elements.” Report LR593, Dept. of the Environment, Transport and Road Research Laboratory, Crowthorne, U.K.
3.
Dewolf, J. T., and Pekoz, T., and Winter, G. (1974). “Local and overall buckling of cold‐formed members.” J. Struct. Engrg., ASCE, 100(10), 2017–2036.
4.
Faulkner, D. (1975). “A review of effective width plating for use in the analysis of stiffened plating in bending and compression.” J. of Ship Res., 19(1), 1–17.
5.
Hancock, G. J. (1981). “Nonlinear analyses of thin‐sections in compression.” J. Struct. Div., ASCE, 107(3), 455–471.
6.
Hasegawa, A., et al. (1986). “Local buckling strength of box column.” Annual Report, Engrg. Res. Inst., Univ. of Tokyo, 31, 31–42.
7.
Horne, M. R. (1956). “The elastic‐plastic theory of compression members.” J. Mech. Phys. Solids, 4, 104–120.
8.
Kalyanaraman, V., Pekoz, T., and Winter, G. (1977). “Stiffened compression elements.” J. Struct. Div., ASCE, 103(9), 1833–1848.
9.
Key, P. W., and Hancock, G. J. (1986). “Plastic collapse mechanisms for thin‐walled cold‐formed square tube columns.” Proc., 10th Australasian Conf. on the Mechanics of Structures and Materials, Adelaide, Australia, 217–222.
10.
Lee, S. L., Chiew, S. P., and Shanmugam, N. E. (1987). “Local and overall buckling of steel box columns.” Proc., Int. Conf. on Steel and Aluminium Structures; Vol. I: Steel structures, advances, design and construction, Cardiff, U.K., Elsevier Applied Science Publishers, London, U.K., and New York, N.Y., 438–449.
11.
Little, G. H. (1974). “Rapid analysis of plate collapse by live energy minimisation.” Int. J. Mech. Sci., 19, 725–744.
12.
Little, G. H. (1979). “The strength of square box columns—Design curves and their theoretical basis.” Struct. Engr., 57A(2), 49–61.
13.
Moxham, K. E. (1977). “Theoretical determination of the strength of welded steel plates in compression,” Report CUED/C‐Struct/TR.65, Dept. of Engrg., Univ. of Cambridge, Cambridge, U.K.
14.
Mulligan, G. P., and Pekoz, T. (1984). “Analysis of locally buckled thin‐walled columns.” Proc., 7th Int. Specialty Conf. on Cold‐Formed Steel Structure, St. Louis, Mo., 93–126.
15.
Murray, N. W., and Khoo, P. S. (1981). “Some basic plastic mechanisms in the local buckling of thin‐walled steel structures.” Int. J. Mech. Sci., 23(12), 703–713.
16.
Nishino, F. (1964). “Buckling strength of columns and their component plates,” thesis presented to Lehigh University, at Bethlehem, Pa., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
17.
Rawlings, B., and Shapland, P. (1975). “The behaviour of thin‐walled box sections under gross deformation.” Struct. Engr., 53(4), 181–186.
18.
Richard‐Liew, J. Y., Shanmugam, N. E., and Lee, S. L. (1989a). “Tapered box columns under biaxial loading.” J. Struct. Engrg., ASCE, 115(7), 1697–1710.
19.
Richard‐Liew, J. Y., Shanmugam, N. E., and Lee, S. L. (1989b). “Local buckling of thin‐walled steel box columns.” Int. J. Thin‐Walled Struct. (in press).
20.
Santathadaporn, S., and Chen, W. F. (1972). “Tangent stiffness method for biaxial bending.” J. Struct. Div., ASCE, 98(1), 153–163.
21.
Shanmugam, N. E., Chiew, S. P., and Lee, S. L. (1987). “Strength of thin‐walled square steel box columns.” J. Struct. Engrg., ASCE, 113(4), 818–831.
22.
Shanmugam, N. E., Richard‐Liew, J. Y., and Lee, S. L. (1989). “Welded steel box‐columns under biaxial loading.” Int. J. Constr. Steel Res., 12(2), 119–139.
23.
Sridharan, S., and Ali, M. A. (1985). “Interactive buckling in thin‐walled beam columns.” J. Engrg. Mech. Div., ASCE, 111(2), 1470–1486.
24.
Sridharan, S., and Ali, M. A. (1986). “An improved interactive buckling analysis of thin‐walled column having doubly symmetric cross‐sections.” Int. J. Solid Struct., 22(4), 429–443.
25.
Usami, T. (1982). “Post‐buckling of plates in compression and bending.” J. Struct. Div., ASCE, 108(3), 591–609.
26.
Usami, T., and Fukumoto, Y. (1982). “Local and overall buckling of welded box columns.” J. Struct. Div., ASCE, 108(3), 525–542.
27.
Usami, T., and Fukumoto, Y. (1984). “Welded box compression members.” J. Struct. Div., ASCE, 110(10), 2457–2470.
28.
Usami, T., Tsuchiya, N., and Fukumoto, Y. (1985). “Theoretical study on the interaction buckling behavior of steel compression members.” Proc. JSCE, Struct. Engrg./Earthquake Engrg., 362/I‐4, 303–312 (In Japanese).
29.
Wang, S. T., and Tien, Y. L. (1973). “Post‐local buckling behaviour of thin‐walled columns.” Proc., Second Specialty Conf. on Cold‐Formed Steel Structures—Current research and design trends, St. Louis, Mo., 53–81.
30.
Yoshida, H., and Maegawa, K. (1978). “Local and member buckling of H‐columns.” J. Struct. Mech., 6(1), 1–27.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 115 • Issue 11 • November 1989
Pages: 2706 - 2726
Copyright
Copyright © 1989 ASCE.
History
Published online: Nov 1, 1989
Published in print: Nov 1989
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