Quasi‐Newton Method for Reinforced‐Concrete Column Analysis and Design
Publication: Journal of Structural Engineering
Volume 117, Issue 3
Abstract
A practical method for the analysis and design of reinforced‐concrete columns under uniaxial/biaxial loads is presented. In this iterative method, the section strength is evaluated based on a known neutral axis and/or assumed steel ratio. Variation of the neutral axis parameters and steel ratio, as well as central difference method, made it possible for the calculation of the partial derivatives required in the multivariable nonlinear Newton's method. The solution scheme is suitable for computer application. Several examples, including analysis and design of columns under uniaxial tendings, biaxial tendings, or sections of unusual shapes, are also presented in this paper. In all the cases, starting from an arbitrarily given neutral axis position and steel ratio, convergence is attained in only severe iterations.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Building code requirements for reinforced concrete. (1989). American Concrete Inst., Detroit, Mich.
2.
Burden, R. L., Faires, J. D., and Reynolds, A. C. (1981). Numerical analysis. 2nd Ed., Prindle, Weber & Schmidt, Boston, Mass.
3.
Davalath, S. R., and Madugula, K. S. (1988). “Analysis/design of reinforced concrete circular cross sections.” ACI Struct. J., 85(6), 617–623.
4.
Nilson, A. H., and Winter, G. (1986). Design of concrete structures. 10th Ed., McGraw‐Hill Book Company, New York, N.Y
5.
Ross, D. A., and Yen, R. J. (1984). “Computer aided design of reinforced concrete columns.” Concrete Int. Design and Construction, 6(3), 47–54.
6.
Ross, D. A., and Yen, R. J. (1986). “Interactive Design of Reinforced Concrete Columns with Biaxial Bending.” ACI J., 83(6), 988–993.
7.
Yen, R. J. (1989). “Direct and optimized design of R. C. columns using modified Newton's method.” Asia‐Pacific Structural Analysis Conference, Nov.
8.
Yen, R. J. (1990). “Optimized direct design of R. C. columns with uniaxial loads.” ACI Struct. J., 88(3), 247–251.
9.
Yen, R. J., and Kuo, L. S. (1990). “Direct analysis and design of biaxially loaded R. C. columns.” J. Chinese Inst. of Civ. and Hydr. Engrg., 2(1), 63–71 (in Chinese).
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 117 • Issue 3 • March 1991
Pages: 657 - 666
Copyright
Copyright © 1991 ASCE.
History
Published online: Mar 1, 1991
Published in print: Mar 1991
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.