Direct Analysis of Slender Columns with P‐Delta Effects
Publication: Journal of Structural Engineering
Volume 119, Issue 3
Abstract
A numerical method is introduced for direct analysis of nonlinear behavior of slender beam‐columns. A strain control technique in conjunction with the quasi‐Newton's method was developed to obtain the updated flexural stiffness directly for lateral deflection estimation. Numerical difficulties such as singular problems or softening behavior could be detected beforehand and overcome. This algorithm may also be formulated to trace the curve and to calculate the current flexural stiffness for sections from very small strain to extremely large strain. Details about the principles and the formulations are given in this paper. Examples include step‐by‐step calculation results for biaxially loaded sections and analyses of slender reinforced concrete and steel columns including uniform or nonuniform cross sections. Further applications can be made to uniaxially or biaxially loaded columns constructed with most engineering materials or to enhance the performance of nonlinear frame analyses.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Chen, W. F., and Atsuta, T. (1977). “Theory of beam‐columns,” Space Behavior and Design.” Vol. 2, McGraw‐Hill, New York, N.Y.
2.
Drysdale, R. G., and Huggins, M. W. (1971). “Sustained biaxial load on slender concrete columns.” J. Struct. Div., ASCE, 97(5), 1423–1443.
3.
El‐Metwally, S. E., and Chen, W. F. (1989). “Load‐deformation relation for reinforced concrete section.” ACI Struct. J., 86(2), 163–167.
4.
Goyal, B. B., and Jackson, N. (1971). “Slender concrete columns under sustained load.” J. Struct. Div., ASCE, 97(11), 2729–2750.
5.
Head, M. C., and Aristizabal‐Ochoa, J. D. (1987). “Analysis of prismatic and linearly tapered reinforced concrete columns.” J. Struct. Engrg., ASCE, 113(3), 575–589.
6.
Liew, J. Y. R., Shanmugam, N. E., and Lee, S. L. (1989). “Tapered box column under biaxial loading.” J. Struct. Engrg., ASCE, 115(7), 1697–1710.
7.
Marshall, P. J., and Ellis, J. S. (1970). “Ultimate biaxial capacity of box steel columns.” J. Struct. Div., ASCE, 96(9), 1873–1887.
8.
Ragan, B. V. (1990). “Strength of reinforced concrete slender columns.” ACI Struct. J., 87(1), 32–38.
9.
Ragan, B. V. (1989). “Lateral deflection of slender reinforced concrete columns under sustained load.” ACI Struct. J., 86(6), 660–663.
10.
Soliman, M. T. M., and Yue, C. W. (1967). “The flexural stress‐strain relationship of concrete confined by rectangular transverse reinforcement.” Magazine of Concrete Research, London, England, 19(61), 223–238.
11.
Yen, J. R. (1991a). “Flexural rigidity and slenderness effects of biaxially loaded r.c. columns.” Proc., Int. Conf. Computational Engrg. Sci., (Aug) Melbourne, Australia, 1221–1224.
12.
Yen, J. R. (1991b). “Analysis of tapered r.c. columns under biaxial loading.” Proc., Int. Conf. on Mech. of Solids and Struct., Singapore, 717–726.
13.
Yen, J. R. (1991c). “Flexural rigidity and slenderness effects of biaxially loaded steel tubular members with residual stress.” Proc., 4th Conf. of Asian‐Pacific Cong. on Strength Eval., Beijing, China, 626–631.
14.
Zhou, S. P., and Chen, W. F. (1985). “Design criteria for box columns under biaxial loading.” J. Struct. Engrg., ASCE, 111(12), 2643–2658.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 119 • Issue 3 • March 1993
Pages: 871 - 890
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Feb 2, 1991
Published online: Mar 1, 1993
Published in print: Mar 1993
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.