TECHNICAL PAPERS
Dec 1, 1986

Plastic Collapse, Shakedown, and Hysteresis of Multistory Steel Structures

Publication: Journal of Structural Engineering
Volume 112, Issue 12

Abstract

The entire spectrum of incremental collapse behavior, including alternating plasticity, shakedown, and plastic (limit state) collapse, of multibay, multistory structures composed of elastic‐perfectly plastic materials can be determined from a consideration of the irrecoverable energy (hysteresis energy) dissipated by the plastic hinges that occur in such structures. An extensive study utilizing computer models of the relevant structural behavior has revealed that much of this hysteresis energy dissipation is concentrated in a relatively few dominant plastic hinges. Strengthening or weakening structural components at those locations where dominant plastic hinges form can significantly alter the incremental collapse behavior of the entire structure. The rate of energy dissipation, as well as the rate of approach to failure, can vary in a complex manner in multibay, multistory structures subjected to many cycles of repetitive loads. It is demonstrated that this complex structural behavior may be unraveled by performing a detailed investigation of the evolution of hysteresis energy at each of the plastic hinges that forms in the structure. A series of such investigations has revealed the roles that prominent and latent plastic hinges play in the overall response of the structure to repetitive loads. New directions for research aimed at improving the analysis and design of earthquake‐resistant buildings are indicated by the results, which show that the global resistance of the entire structure to incremental collapse depends upon the details of the applied loading program, as well as upon the local plastic moment resistance of the individual structural components. Illustrative results from the application of the new method are given for a two‐bay, two‐story rigid frame structure.

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References

1.
Akiyama, H., Earthquake‐Resistant Limit‐State Design for Buildings, University of Tokyo Press, Tokyo, Japan, 1985.
2.
Bleich, H., “Uber die Bemessung statisch unbestimmter Stahltragwerke unter Berücksichtigung des elastisch‐plastischen Verhaltens des Baustoffes,” Bauingenieur, Vol. 13, 1932, p. 2610.
3.
Erber, T., Guralnick, S. A., and Latal, H. G., “A General Phenomenology of Hysteresis,” Annals of Physics, Vol. 69, No. 1, Jan., 1972, p. 161.
4.
Grüning, M., “Die Tragfähigkeit statisch unbestimmter Tragwerke aus Stahl bei beliebig haüfig wiederholter Belastung,” Julius Springer, Berlin, Germany, 1926.
5.
Guralnick, S. A., “Incremental Collapse under Conditions of Partial Unloading,” International Association for Bridge and Structural Engineering, Vol. 33, Part II, 1973, p. 69.
6.
Guralnick, S. A., “An Incremental Collapse Model for Metal Fatigue,” International Association for Bridge and Structural Engineering, Vol. 35, 1975, p. 83.
7.
Guralnick, S. A., Singh, A., and Erber, T., “Plastic Collapse, Shakedown and Hysteresis,” Journal of Structural Engineering, ASCE, Vol. 110, No. 9, Sept., 1984, Paper 19153.
8.
Hodge, P. G., Jr., “Shakedown of Elastic Plastic Structures,” Residual Stresses in Metals and Metal Construction, W. R. Osgood, Ed., Reinhold, New York, N.Y., 1954.
9.
Horne, M. R., Discussion of “Theory of Inelastic Bending with Reference to Limit Design,” Transactions ASCE, 1948, p. 250.
10.
Horne, M. R., “The Effect of Variable Repeated Loads on Building Structures Designed by the Plastic Theory,” Proceedings of the International Association of Bridge and Structural Engineering, Vol. 14, 1954, p. 53.
11.
Longer, B. F., “Fatigue Failure from Stress Cycles of Varying Amplitude,” Transactions ASME, Vol. 59, 1937, p. A160.
12.
Maison, B. B., and Popov, E. P., “Cyclic Response Prediction of Braced Steel Frames,” Journal of the Structural Division, ASCE, Vol. 106, No. ST7, July, 1980, p. 1401.
13.
Massonet, C. E., and Save, M. A., Plastic Analysis and Design, Vol. 1, Blaisdell Publishing Co., Ginn and Co., New York, N.Y., 1965.
14.
Melan, E., “Theorie statisch unbestimmter Systeme,” preliminary publication of the 2nd Congress International Association of Bridge and Structural Engineering, Vol. 43, Berlin, Germany, 1936.
15.
Miner, M. A., “Cumulative Damage in Fatigue,” Journal of Applied Mechanics, Vol. 12, No. 3, Sept., 1945, p. 159.
16.
Morrow, J‐D., “Cyclic Plastic Strain Energy and Fatigue of Metals,” ASTM Special Technical Publication No. 378, 1965.
17.
Neal, B. G., “The Behavior of Framed Structures under Repeated Loadings,” Journal of Mechanics and Applied Mathematics, 1951, p. 297.
18.
Neal, B. G., The Plastic Methods of Structural Analysis, Chapman and Hall, London, England, 1956.
19.
Palmgren, A., “The Endurance of Ball Bearings” (in German), Z. Wer. Dent; Ing. Vol. 68, Apr., 1924, p. 339.
20.
Popov, E. P., “Seismic Behavior of Structural Subassemblages,” Journal of the Structural Division, ASCE, Vol. 106, No. ST7, July, 1980, p. 1451.
21.
Popov, E. P., and McCarthy, R. E., “Deflection Stability of Frames under Repeated Loads,” Journal of the Engineering Mechanics Division, ASCE, Vol. 86, No. 1, Jan., 1960, p. 61.
22.
Popov, E. P., and Bertero, V. V., “Cyclic Loading of Steel Beams and Connections,” Journal of the Structural Division, ASCE, Vol. 99, No. ST6, June, 1973, p. 1189.
23.
Popov, E. P., Takanashi, K., and Roeder, C. W., “Structural Steel Bracing Systems: Behavior Under Cyclic Loading,” Earthquake Engineering Research Center Report No. EERC‐76‐17, University of California, Berkeley, Calif., June, 1976.
24.
Singh, S., “Shakedown Load and Hysteresis Phenomena of Portal Frames,” thesis, presented to the Illinois Institute of Technology, Chicago, Ill., in 1982, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
25.
Symonds, P. S., Discussion of “Plastic Design and the Deformation of Structures,” Welding Journal, 1952, p. 33.
26.
Symonds, P. S., and Neal, B. G., “Recent Progress in the Plastic Method of Structural Analysis,” Journal of the Franklin Institute, Vol. 252, 1951, pp. 383, 469.
27.
Symonds, P. S., and Neal, B. G., “The Calculation of Failure Loads on Plane Frames Under Arbitrary Loading Programmes,” Proceedings, Inst. of Civil Engineering, Vol. 35, 1951, p. 41.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 12December 1986
Pages: 2610 - 2627

History

Published online: Dec 1, 1986
Published in print: Dec 1986

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Authors

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Sidney A. Guralnick, F. ASCE
The Perlstein Distinguished Prof. of Engrg., Illinois Inst. of Tech., Chicago, IL 60616
Thomas Erber
Prof., Dept. of Physics, Illinois Inst. of Tech., Chicago, IL 60616
John Stefanis
Grad. Research Asst., Dept. of Civ. Engrg., Illinois Inst. of Tech., Chicago, IL 60616
Osama Soudan
Grad. Student, Dept. of Civ. Engrg., Illinois Inst. of Tech., Chicago, IL 60616

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