Nonlinear SDOF Element for Hysteretic Analysis of Pinned Braces
Publication: Journal of Engineering Mechanics
Volume 117, Issue 5
Abstract
Steel struts are widely used as bracing members in buildings located in earthquake regions. Current simple theoretical models for struts subjected to alternating axial loads are based on small deflection formulations. They exhibit a high stiffness compared to test results. A large deflection analysis is applied in the model proposed herein in which geometric nonlinearity is introduced by considering the term accounting for the inclination of the axis of the deformed beam in the expression of the curvature. Its results are more compatible with test results. This model retains the simplicity of a one‐degree‐of‐freedom element that could be easily introduced in building analysis. This improvement of the elastic analysis should make it easier to address other factors such as the hysteretic deterioration of strength and stiffness, which was over‐emphasized in the correction of small deflection models, as well as the effects of local buckling and residual stresses.
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References
1.
Benito, R. (1983). “Static and dynamic interactive buckling of plate assemblies,” thesis presented to Washington University, at St. Louis, Mo., in partial fulfillment of the requirements of the degree of Doctor of Science.
2.
Boutros, M. K., and Goel, S. C. (1985). “Analytical modeling of braced steel structures.” Report No. UMCE 85‐7, Univ. of Michigan, Ann Arbor, Mich.
3.
Boutros, M. K., and Goel, S. C. (1989). Discussion of “Inelastic cyclic response of restrained imperfect columns,” by M. Papadrakakis and K. Loukakis, J. Engrg. Mech., ASCE, 115(7), 1587–1589.
4.
Boutros, M. K., and Rumman, W. S. (1985). “Analysis of plates assemblies and application of the finite strip method.” Report No. UMCE 85‐6, Univ. of Michigan, Ann Arbor, Mich.
5.
Brush, D. O., and Almroth, B. O. (1975). Buckling of bars, plates and shells. McGraw‐Hill, Inc., New York, N.Y.
6.
Chen, W. F., and Lui, E. M. (1987). Structural stability—theory and implementation. Elsevier Science Publishing Co., Inc., New York, N.Y., 348–351.
7.
Gugerli, H., and Goel, S. C. (1982). “Inelastic cyclic behavior of steel bracing members.” Report No. UMEE‐82R1, Univ. of Michigan, Ann Arbor, Mich.
8.
Hancock, G. (1981). “Nonlinear analysis of thin sections in compression.” J. Struct. Div., ASCE, 107(3), 455–471.
9.
Hill, R. (1956). The mathematical theory of plasticity. Oxford at the Clarendon Press, 51, 52.
10.
Jain, A. K., Goel, S. C, and Hanson, R. D. (1978). “Hysteresis behaviour of bracing members and seismic response of braced frames with different proportions.” Report No. UMEE‐78R3, Univ. of Michigan, Ann Arbor, Mich.
11.
Papadrakakis, M., and Loukakis, K. (1988). “Inelastic cyclic response of restrained imperfect columns.” J. Engrg. Mech., ASCE, 114(2), 295–313.
12.
Timoshenko, S. (1930). Strength of materials. Part 1, Van Nostrand East‐West Press, New Delhi, India, 136–139.
13.
Wakabayashi, M., Mastui, B., and Mitani, I. (1977). “Cyclic behaviour of a restrained steel brace under axial loading.” Proc. Vl‐th World Conf. on Earthquake Engrg., Vol. 3, 3188–3193.
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Published In
Journal of Engineering Mechanics
Volume 117 • Issue 5 • May 1991
Pages: 941 - 953
Copyright
Copyright © 1991 ASCE.
History
Published online: May 1, 1991
Published in print: May 1991
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