Large Deformation Analysis of Elasticplastic Frames
Publication: Journal of Structural Engineering
Volume 109, Issue 8
Abstract
A numerical procedure for large deformation analysis of elastic‐plastic frames is presented. The procedure is based on an Eulerian formulation, which was developed initially for elastic systems and is extended herein to include elastic‐plastic effects. Local member force‐deformation relationships are based on the beam‐column approach and changes in member chord lengths due to axial strains and flexural bowing are taken into account. A computational technique for determining the nonlinear response is described in detail. The technique utilizes an incremental load approach with Newton‐Raphson iteration to satisfy joint equilibrium equations. Numerical solutions are presented for three structures and are compared to those reported by previous investigators.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Alvarez, R. J., and Birnstiel, C., “Inelastic Analysis of Multistory Multibay Frames,” Journal of the Structural Division, ASCE, Vol. 95, No. ST11, Proc. Paper 6922, Nov., 1969, pp. 2477–2503.
2.
Jonatowski, J. J., and Birnstiel, C., “Inelastic Stiffened Suspension Space Structures,” Journal of the Structural Division, ASCE, Vol. 96, No. ST6, Proc. Paper 7364, June, 1970, pp. 1143–1166.
3.
Johnston, B. G., ed., Guide to Stability Design for Metal Structures, chap. 15, 3rd. ed., Structural Stability Research Council, John Wiley and Sons, Inc., New York, N.Y., 1976.
4.
Kassimali, A., “Nonlinear Static and Dynamic Analysis of Frames,” thesis presented to the University of Missouri, at Columbia, Mo., in 1976, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
5.
Korn, A., “Effect of Bowing on Rectangular Plane Frames,” Journal of the Structural Division, ASCE, Vol. 107, No. ST3, Mar., 1981, pp. 569–574.
6.
Korn, A., and Galambos, T. V., “Behavior of Elastic‐Plastic Frames,” Journal of the Structural Division, ASCE, Vol. 94, No. ST5, Proc. Paper 5942, May, 1968, pp. 1119–1142.
7.
Majid, K. I., Non‐linear Structures, John Wiley and Sons, Inc., New York, N.Y., 1972, pp. 208–209.
8.
McNamee, B. M., and Lu, L. W., “Inelastic Multistory Frame Buckling,” Journal of the Structural Division, ASCE, Vol. 98, No. ST7, Proc. Paper 9062, July, 1972, pp. 1613–1631.
9.
Oran, C., “Tangent Stiffness in Plane Frames,” Journal of the Structural Division, ASCE, Vol. 99, No. ST6, Proc. Paper 9810, June, 1973, pp. 973–985.
10.
Oran, C., “Tangent Stiffness in Space Frames,” Journal of the Structural Division, ASCE, Vol. 99, No. ST6, Proc. Paper 9813, June, 1973, pp. 987–1001.
11.
Oran, C., and Kassimali, A., “Large Deformations of Framed Structures under Static and Dynamic Loads,” International Journal of Computers and Structures, Vol. 6, Dec., 1976, pp. 539–547.
12.
Saafan, S. A., “Nonlinear Behavior of Structural Plane Frames,” Journal of the Structural Division, ASCE, Vol. 89, No. ST4, Proc. Paper 3615, Aug., 1963, pp. 557–579.
13.
Timoshenko, S. P., and Gere, J. M., Theory of Elastic Stability, chap. 1, 2nd ed., McGraw‐Hill Book Co., Inc., New York, N.Y., 1961.
Information & Authors
Information
Published In
Copyright
Copyright © 1983 ASCE.
History
Published online: Aug 1, 1983
Published in print: Aug 1983
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.