TECHNICAL PAPERS
Apr 1, 1990

Four‐Spring Element for Cyclic Response of R/C Columns

Publication: Journal of Structural Engineering
Volume 116, Issue 4

Abstract

The cyclic response of reinforced concrete columns subjected to bending and axial load is determined using a hysteretic element consisting of four axial springs. The spring sections consist of steel for tensile forces but steel and concrete for compressive forces. The basic spring properties are determined from the calculated balanced moment for the column using simple relationships. The derivation of these properties is described. The force‐deformation relationship for the springs is controlled by the AQ‐Hyst hysteresis model. The model is unsymmetric to account for differences in the tensile and compressive response of the springs. Amplitude‐dependent softening effects are included in unloading and load reversal stages. The four‐spring element was evaluated based on its performance in reproducing the behavior of several reinforced concrete test specimens that had been studied at the University of Tokyo and the University of California, Berkeley. The four‐spring element appeared to be successful in simulating the overall response as long as the axial force did not exceed the balanced load.

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References

1.
Ghusn, G. E., and Saiidi, M. (1986). “A simple hysteresis element for biaxial bending of R/C columns and implementation in NEABS‐86.” Report No. CCEER86‐1, Ctr. for Civ. Engrg. Earthquake Res., Univ. of Nevada‐Reno, Nev.
2.
Jiang, Y. (1988). “Predicting the response of R/C columns under combined axial and lateral load reversals by 5‐spring and 4‐spring elements,” thesis presented to the University of Nevada, Reno, Nev., in partial fulfillment of the requirements for the degree of Master of Science.
3.
Lai, S.‐S., “Inelastic analysis of reinforced concrete space frame under biaxial earthquake motions,” thesis presented to the University of Toronto, at Toronto, Canada, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Li, K.‐N., Otani, S., and Aoyama, H. (1987). “Reinforced concrete columns under varying axial load and bi‐direction horizontal load reversals.” Proc., Pacific Conf. on Earthquake Engrg., Wairakei, New Zealand.
5.
Low, S. S., and Moehle, J. P. (1987). “Experimental study of reinforced concrete columns subjected to multi‐axial cyclic loading.” Report No. UCB/EERC‐87‐14, Earthquake Engrg. Res. Ctr., Univ. of California at Berkeley, Berkeley, Calif.
6.
Otani, S., and Cheung, V. W.‐T. (1981). “Behavior of reinforced concrete columns subjected to biaxial lateral load reversals.” Publication 81‐02, Dept. of Civ. Engrg., Univ. of Toronto, Toronto, Canada.
7.
Saiidi, M., Ghusn, G. E., and Jiang, Y. (1989). “A Five‐spring element for biaxially bent R/C columns.” J. Struct. Engrg., 115(2), 398–416.
8.
Takizawa, H., and Aoyama, H. (1976). “Biaxial effects in modeling earthquake response of R/C structures.” J. Earthquake Engrg. and Struct. Dynamics, 4(6), 523–552.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 116Issue 4April 1990
Pages: 1018 - 1029

History

Published online: Apr 1, 1990
Published in print: Apr 1990

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Authors

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Yang Jiang
Grad. Res. Asst., Civ. Engrg. Dept., Univ. of Nevada, Reno, NV 89557
Mehdi Saiidi, Member, ASCE
Prof. and Chairman, Civ. Engrg. Dept., Univ. of Nevada, Reno, NV

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