Elasto‐Plastic Analysis of Box‐Beam‐Columns Including Local Buckling Effects
Publication: Journal of Structural Engineering
Volume 117, Issue 7
Abstract
A nonlinear finite element procedure for the pre‐ and postbuckling analysis of thin‐walled box‐section beam‐columns is presented. The influence of local plate buckling upon the overall ultimate buckling behavior of the member is incorporated in the analysis by adopting a set of modified‐stress‐versus‐strain curves for axially loaded plates. Factors such as residual stresses, associated with hot‐rolled and cold‐formed sections, and initial geometrical imperfections are accounted for in the analysis. A number of examples are presented to demonstrate the accuracy and efficiency of the method.
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References
1.
Bathe, K. J. (1982). Finite element procedures in engineering analysis. Prentice‐Hall Inc., Englewood Cliff, N.J.
2.
Batoz, J. L., and Dhatt, G. (1979). “Incremental displacement algorithms for nonlinear analysis.” Int. J. Numer. Methods Engrg., 14(8), 1262–1267.
3.
Bergan, P. G., Horrigmoe, G., Krakeland, B., and Soreide, T. H. (1978). “Solution techniques for nonlinear finite element problems.” Int. J. Numer. Methods Engrg., 12(11), 1677–1696.
4.
Chan, S. L. (1988). “Geometric and material nonlinear analysis of beam‐columns and frames using the minimum residual displacement method.” Int. J. Numer. Methods Engrg., 26(12), 2657–2669.
5.
Chan, S. L. (1989). “Inelastic post‐buckling behaviour of tubular beam‐columns and frames.” Engrg. Struct., 11(1), 23–40.
6.
Chan, S. L., and Kitipornchai, S. (1987). “Geometric nonlinear analysis of asymmetric thin‐walled beam‐columns.” Engrg. Struct., 9(4), 243–254.
7.
Chan, S. L., and Kitipornchai, S. (1988). “Inelastic post‐buckling behavior of tubular struts.” J. Struct. Engrg., ASCE, 114(5), 1091–1105.
8.
Common unified code of practice for steel structures. (1984). Eurocode No. 3, Commission of the European Communities, Directorate‐General, Brussels, Belgium.
9.
Crisfield, M. A. (1975). “Full‐range analysis of steel plates and stiffened panels under uni‐axial compression.” Proc., Institution of Civil Engineers, Part 2, Vol. 59(2), 595–624.
10.
Crisfield, M. A. (1981). “A fast incremental/iterative solution procedure that handles snap‐through.” Comput. Struct., 13(1–3), 55–62.
11.
Crisfield, M. A. (1982). “Variable step‐lengths for nonlinear structural analysis.” Report LR 1049, Transport and Road Research Laboratory, Crowthorne, Berkshire, England.
12.
Dennis, J., Jr., and More, J. (1977). “Quasi‐Newton methods, motivation and theory.” SIAM Rev., 19(1), 46–84.
13.
Graves‐Smith, T. R. (1967). “The ultimate strength of locally buckled columns of arbitrary length.” Symp. on Thin‐Walled Steel Structures, Swansea, Crossby Lockwood, London, U.K., 35–61.
14.
Guide to stability criteria for metal structures. (1988). Structural Stability Research Council, T. V. Galambos, ed., John Wiley & Sons, Inc., New York, N.Y.
15.
Harding, J. E., Hobb, R. E., and Neal, B. G. (1977). “The elasto‐plastic analysis of imperfect square plates under in‐plane loading.” Proc., Institution of Civil Engineers, Part 2, 63(1), 137–158.
16.
Hasegawa, A., Nishino, F., and Okumura, T. (1972). “Local buckling strength of box column.” Annual Report of the Engineering Research Institute, Faculty of Engineering, University of Tokyo, Tokyo, Japan, (31), 31–42.
17.
Key, P. W., and Hancock, G. J. (1985). “An experimental investigation of the column behavior of cold‐formed square hollow section.” Res. Report No. R493, Department of Civil and Mining Engineering, University of Sydney, Sydney, New South Wales, Australia.
18.
Kitipornchai, S., Al‐Bermani, F. G. A., and Chan, S. L. (1988). “Geometric and material nonlinear analysis of structures comprising rectangular hollow sections.” Engrg. Struct., 10(1), 13–23.
19.
Lee, S. L., Shanmugam, N. E., and Chiew, S. P. (1988). “Thin‐walled steel box columns under arbitrary end loads.” J. Struct. Engrg., ASCE, 114(6), 1390–1402.
20.
Little, G. H. (1974). “Rapid analysis of plate collapse by live energy minimization.” Int. J. Mech. Sci., 19(12), 725–744.
21.
Little, G. H. (1976). “Local and overall buckling of square box columns.” Report No. CUED/C—Struct/TR46, Engineering Department, Cambridge University, Cambridge, U.K.
22.
Little, G. H. (1979). “The strength of square box columns—design curves and their theoretical basis.” The Struct. Engr., 57A(2), 49–61.
23.
Moxham, K. E. (1971a). “Buckling tests on individual welded steel plates in compression.” Report No. CUED/C—Struct/TR3, Department of Engineering, Cambridge University, Cambridge, U.K.
24.
Moxham, K. E. (1971b). “Theoretical determination of the strength of welded steel plates in compression.” Report No. CUED/C—Struct/TR2, Department of Engineering, Cambridge University, Cambridge, U.K.
25.
Murray, N. M. (1984). “Introduction to the theory of thin‐walled structures.” Oxford Engineering Science Series, Oxford University, Oxford, U.K.
26.
Nishino, F., Kanchanalai, T., and Lee, S. L. (1972). “Ultimate strength of wide flange and box columns.” Proc. of the Colloquium on Centrally Compressed Struts, Paris, France, International Association for Bridge and Structural Engineering, 254–265.
27.
Powell, G., and Simons, J. (1981). “Improved iteration strategy for nonlinear structures.” Int. J. Numer. Methods Engrg., 17(10), 1455–1467.
28.
Ramm, E. (1981). “Strategies for tracing the nonlinear response near limit point.” Nonlinear finite element analysis in structural mechanics, W. Wunderlichs, et al., eds., Springer‐Verlag, Berlin, Germany, 63–69.
29.
Riks, E. (1979). “An incremental approach to the solution of snapping and buckling problems.” Int. J. Solids Struct., 15(7), 529–551.
30.
Shanmugam, N. E., Chiew, S. P., and Lee, S. L. (1987). “Strength of thin‐walled square box columns.” J. Struct. Engrg., ASCE, 113(4), 818–831.
31.
Smith, G. T. R. (1968). “The post‐buckled strength of thin‐walled columns.” Final Report of the Eighth Congress, International Association for Bridge and Structural Engineering, New York, N.Y., 311–320.
32.
Sohal, I. S., and Chen, W. F. (1987a). “Local buckling and sectional behavior of fabricated tubes.” J. Struct. Engrg., ASCE, 113(3), 519–533.
33.
Sohal, I. S., and Chen, W. F. (1987b). “Local buckling and inelastic cyclic behavior of tubular members.” Thin‐walled struct., 5(6), 455–475.
34.
Usami, T., and Fukumoto, Y. (1982). “Local and overall buckling of welded box columns.” J. Struct. Engrg., ASCE, 108(3), 525–542.
35.
Usami, T., and Fukumoto, Y. (1984). “Welded box compression members.” J. Struct. Engrg., ASCE, 110(10), 2457–2470.
36.
Vojta, J. F., and Ostapenko, A. (1967). “Ultimate strength design of longitudinally stiffened plate panels of large Report No. 284, Fritz Engineering Laboratory, Lehigh University, Bethlehem, Pa.
37.
Yang, Y. B., and McGuire, W. (1985). “A work control method for geometrically nonlinear analysis.” Proc., Int. Conf. on Advances in Numerical Methods in Engineering, Swansea, U.K., 913–921.
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Copyright © 1991 ASCE.
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Published online: Jul 1, 1991
Published in print: Jul 1991
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