Model for Inelastic Biaxial Bending of Concrete Members
Publication: Journal of Structural Engineering
Volume 110, Issue 11
Abstract
An analytical model is developed to simulate the hysteretic and stiffness degrading behavior of reinforced concrete members subjected to axial load and biaxial bending interaction. The model separates the member into two inelastic elements. Each inelastic element, composed of individual spring elements, simulates the inelastic effects of the member as well as the cumulative slip of the anchored bars in the beam‐column joint. The proposed model, by its simplistic nature, is not claimed to be precise, but rather, tries to bridge the gap between the sophisticated finite element approach and the very crude discrete models with constant axial load assumptions. The construction of neither a skeleton curve nor a three‐dimensional yield surface is necessary. The present model should be a practical tool for three‐dimensional inelastic analysis and design of reinforced concrete structures.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Aktan, A. E., Pecknold, D. A. W., and Sozen, M. A., “Effect of Two‐Dimensional Earthquake Motion on a Reinforced Concrete Column,” Structural Research Series No. 399, University of Illinois, Urbana, Ill., May, 1973.
2.
Emori, K., “Analysis of Reinforced Concrete Frame‐wall Structures for Strong Earthquake Motions,” thesis presented to the University of Illinois, at Urbana‐Champaign, Ill., in 1978, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Gulkan, P., and Sozen, M. A., “Response and Energy Dissipation of Reinforced Concrete Frames Subjected to Strong Base Motions,” Civil Engineering Studies, SRS No. 377, University of Illinois, Urbana, Ill., May, 1971.
4.
Hill, R., The Mathematical Theory of Plasticity, Oxford University Press, London, England, 1950.
5.
Imbeault, F. A., “Bilinear and Degrading Bilinear Seismic Response of Multi‐Storey Frames,” thesis presented to the University of Illinois at Urbana‐Champaign, Ill., in 1972, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
6.
Kenchiku, K. S., “A List of Experimental Results on Deformation Ability of Reinforced Concrete Columns under Large Deflection (No. 3),” Report No. 21, Building Research Institute, Ministry of Construction, Japan, Feb., 1978.
7.
Kent, D. C., “Inelastic Behavior of Reinforced Concrete Members with Cyclic Loading,” thesis, presented to the University of Canterbury, at Christchurch, New Zealand, in 1969, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
Nigam, N. C., “Inelastic Interactions in the Dynamic Response of Structures,” thesis presented to the California Institute of Technology, at Pasadena, California, in 1976, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
9.
Okada, T., Murakami, M., Udagawa, K., Nishikawa, T., Osawa, Y., and Tanaka, H., “Analysis of the Hachinohe Library Damaged by 1968 Tokachi‐Oki Earthquake,” Proceedings of the Japan‐U.S. Seminar on Earthquake Engineering with Emphasis on the Safety of School Buildings, Sendai, Japan, 1969, pp. 172–184.
10.
Okada, T., Seki, M., Asai, S., “Response of Reinforced Concrete Columns to Bi‐Directional Horizontal Force and Constant Axial Force,” Bulletin of ERS, No. 10, Earthquake Resistant Structure Research Center, Institute of Industrial Science, University of Tokyo, Japan, 1976, pp. 30–36.
11.
Otani, S., and Cheung, V. W.‐T., “Behavior of Reinforced Concrete Columns under Biaxial Lateral Load Reversals,” Publication 81‐02, Department of Civil Engineering, University of Toronto, Canada, Feb., 1981.
12.
Otani, S., Cheung, V. W.‐T., and Lai, S. S., “Behavior and Analytical Models of Reinforced Concrete Columns under Biaxial Earthquake Loads,” Proceedings, 3rd Canadian Conference on Earthquake Engineering, Vol. 2, Montreal, Canada, June, 1979, pp. 1141–69.
13.
Otani, S., “SAKE—A Computer Program for Inelastic Analysis of R/C Frames to Earthquakes,” A Report on a Research Project Sponsored by the National Science Foundation, Research Grant GI‐29934, University of Illinois, Urbana, Ill., Nov., 1974.
14.
Padilla, R., “Nonlinear Response of Framed Structures to Two‐Dimensional Earthquake Motion,” thesis presented to the University of Illinois, at Urbana‐Champaign, Ill., in 1974, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
15.
Pecknold, D. A., “Inelastic Structural Response to 2D Ground Motion,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. EM5, Oct., 1974, pp. 949–963.
16.
Saatcioglu, M., and Derecho, A. T., “Dynamic Inelastic Response of Coupled Walls as Affected by Axial Forces,” Nonlinear Design of Concrete Structures, CSCE‐ASCE‐ACI‐CEB International Symposium, University of Waterloo, Ontario, Canada, Aug. 7–9, 1979, pp. 639–670.
17.
Selna, L. G., Morill, K. B., and Ersoy, O. K., “Earthquake Response Analysis of the Olive View Hospital Psychiatric Day Clinic,” International journal of Earthquake Engineering and Structural Dynamics, Vol. 3, 1974, pp. 15–32.
18.
Suharwardy, M. I. H., “Inelastic Response of Reinforced Concrete Columns Subjected to Two‐Dimensional Earthquake Motion,” thesis presented to the University of Illinois, at Urbana‐Champaign, Ill., in 1979, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
19.
Takayanagi, T., and Schnobrich, W. C., “Computed Behavior of Reinforced Concrete Coupled Shear Walls,” Civil Engineering Studies, Structural Research Series No. 434, University of Illinois at Urbana‐Champaign, Urbana, Illinois, Dec., 1976.
20.
Takeda, T., Sozen, M. A., and Nielsen, N. N., “Reinforced Concrete Response to Simulated Earthquakes,” Journal of the Structural Division, ASCE, Vol. 96, Dec., 1970, pp. 2557–73.
21.
Takizawa, H., and Aoyama, H., “Biaxial Effects in Modeling Earthquake Response of R/C Structures,” Journal of Earthquake Engineering and Structural Dynamics, John Wiley and Sons, Ltd., Vol. 4, 1976, pp. 523–552.
22.
Tseng, W. S., and Penzien, J., “Seismic Response of Long Multiple‐Span Highway Bridges,” International journal of Earthquake Engineering and Structural Dynamics, Vol. 4, 1975, pp. 24–48.
23.
Ziegler, H., “A Modification of Prager's Hardening Rule,” Quarterly journal of Applied Mathematics, Vol. 17, No. 1, Apr., 1959, pp. 55–65.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 110 • Issue 11 • November 1984
Pages: 2563 - 2584
Copyright
Copyright © 1984 ASCE.
History
Published online: Nov 1, 1984
Published in print: Nov 1984
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.