Inelastic Analysis and Behavior of Steel I-Beams Curved in Plan
Publication: Journal of Structural Engineering
Volume 126, Issue 7
Abstract
An I-beam curved in plan and subjected to vertical loading experiences primary bending and nonuniform torsion actions. Because of this, the vertical deflections are coupled with twist rotations. These primary actions and deformations couple together to produce second-order bending actions about the minor axis. The interactions between these actions can grow rapidly, produce early nonlinear behavior and yielding, and lead to significant reductions of the ultimate load-carrying capacities. This paper develops a curved beam finite-element model for the geometric and material nonlinear analysis of I-beams curved in plan. Comparisons with existing results show that the finite-element model is accurate, effective, and economical. The numerical results show that when the initial curvature of a curved beam is small, bending is the major action and the nonlinear inelastic behavior is similar to the inelastic flexural-torsional buckling of a straight beam. However, if this initial curvature is not small, both nonuniform torsion and bending are dominant and nonlinear inelastic behavior develops very early. The behavior differs markedly from the inelastic flexural-torsional buckling behavior of a straight beam.
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References
1.
ABAQUS user's manual; version 5.8. (1998). Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, R.I.
2.
Boulton, N. S., and Boonsukha, B. (1959). “Plastic collapse loads for circular-arc bow girders.” Proc., Institution of Civil Engineers, London, 13(6), 161–178.
3.
Crisfield, M. A. (1991). Non-linear finite element analysis of solids and structures, Wiley, Chichester, England.
4.
Dinno, K. S., and Merchant, W. (1965). “A procedure for calculating the plastic collapse of I-sections under bending and torsion.” The Struct. Engr., 43(7), 219–221.
5.
European recommendation for steel construction (ECCS). (1984). Construction Press, New York.
6.
Fukumoto, Y., and Nishida, S. (1981). “Ultimate load behavior of curved I-beams.”J. Engrg. Mech. Div., ASCE, 107(2), 367–385.
7.
Gendy, A. S., and Saleeb, A. F. (1992). “On the finite-element analysis of the spatial response of curved beams with arbitrary thin-walled sections.” Comp. Struct., 44(3), 639–652.
8.
Jackson, N. (1966). “Collapse loads for circular-arc beams.”J. Struct. Div., ASCE, 92(5), 1–14.
9.
Liew, J. Y. R., Thevendran, V., Shanmugam, N. E., and Tan, L. O. (1995). “Behavior and design of horizontally curved steel beams.” J. Constr. Steel Res., 32, 37–67.
10.
Nakai, H., and Yoo, C. H. (1988). Analysis and design of curved steel bridges. McGraw-Hill, New York.
11.
Nyssen, C. (1981). “An efficient and accurate iterative method, allowing large incremental steps, to solve elasto-plastic problems.” Comp. and Struct., 13(1), 63–71.
12.
Owen, D. R. J., and Hinton, E. (1980). Finite elements in plasticity, Pineridge Press, Swansea, U.K.
13.
Pi, Y.-L., Bradford, M. A., and Trahair, N. S. (1999). “Inelastic analysis and behavior of steel I-beams curved in plan.” UNICIV Rep., No. R-377, School of Civ. and Envir. Engrg., University of New South Wales, Sydney, Australia.
14.
Pi, Y.-L., and Trahair, N. S. (1994a). “Inelastic bending and torsion of steel I-beams.”J. Struct. Engrg., ASCE, 120(12), 3397–3417.
15.
Pi, Y.-L., and Trahair, N. S. (1994b). “Nonlinear inelastic analysis of steel beam-columns. I: Theory.”J. Struct. Engrg., ASCE, 120(7), 2041–2061.
16.
Pi, Y.-L., and Trahair, N. S. (1995). “Inelastic torsion of steel I-beams.”J. Struct. Engrg., ASCE, 121(4), 609–620.
17.
Pi, Y.-L., and Trahair, N. S. (1997). “Nonlinear elastic behavior of I-beams curved in plan.”J. Struct. Engrg., ASCE, 123(9), 1201–1209.
18.
Shanmugam, N. E., Thevendran, V., Liew, J. Y. R., and Tan, L. O. (1995). “Experimental study on steel beams curved in plan.”J. Struct. Engrg., ASCE, 121(2), 249–259.
19.
Simo, J. C., and Taylor, R. L. (1985). “Consistent tangent operators for rate-independent elasto-plasticity.” Computer Methods in Appl. Mech. and Engrg., 48, 101–118.
20.
Structural Stability Research Council. (1991). “Horizontally curved girders—A look to the future.” Annu. Rep., Task Group 14, Chicago, Ill.
21.
Tan, L. O., Thevendran, V., Liew, J. Y. R., and Shanmugam, N. E. (1992). “Analysis and design of I-beams curved in plan.” J. Singapore Struct. Steel Soc., Steel Struct., 3(1), 39–45.
22.
Trahair, N. S., and Bradford, M. A. (1998). The behavior and design of steel structures to AS4100. E & FN Spon, London.
23.
Yoo, C. H., and Heins, C. P. (1972). “Plastic collapse of horizontally curved bridge girders.”J. Struct. Div., ASCE, 98(4), 899–914.
24.
Yoshida, H., and Maegawa, K. (1983). “Ultimate strength analysis of curved I-beams.”J. Engrg. Mech. Div., ASCE, 109(1), 192–214.
25.
Wagner, H. (1936). “Verdrehung and Knickung von offenen Profilen (Torsion and buckling of open sections).” NACA Tech. Memo. No. 807, Washington, D.C. (in German).
26.
Zienkiewicz, O. C., and Taylor, R. L. (1989). The finite element method, 4th Ed., McGraw-Hill, New York.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 126 • Issue 7 • July 2000
Pages: 772 - 779
History
Received: Sep 14, 1999
Published online: Jul 1, 2000
Published in print: Jul 2000
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