Load Bearing Capacity of Reinforced Concrete Beams Subjected to Dynamic Cyclic Loads
Publication: Journal of Engineering Mechanics
Volume 127, Issue 9
Abstract
A kinematic method is developed to determine the shakedown limits of elastic-perfectly plastic steel-reinforced concrete beams under quasi-static and dynamic cyclic loads. This procedure, like the respective kinematic approach of plastic limit analysis, is visual and easy to use in engineering applications. The load parameters (amplitudes, frequency) versus yield moment diagrams, constructed from possible collapse modes, should assist in choosing the reinforcement scheme and amounts of reinforcement to meet the load bearing requirements for the structures.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ceradini, G. (1980). “Dynamic shakedown in elastic-plastic bodies.”J. Engrg. Mech. Div., ASCE, 106(3), 481–499.
2.
Corradi, L., and Maier, G. ( 1973). “Inadaptation theorems in the dynamics of elastic work-hardening structures.” Ing. Arch., 43, 44–57.
3.
Gavarini, C. ( 1969). “Sul reintro in fase eleastice delle vibrazioni forzate elastoplastiche.” Giornale del Genio Civile, 107, 251.
4.
Hodge, P. G., Jr. ( 1959). Plastic analysis of structures, McGraw-Hill, New York.
5.
Johansen, W. ( 1962). Yield-line theory, Cement and Concrete Assn., London.
6.
Koiter, W. T. ( 1963). “General theorems for elastic-plastic solids.” Progress in solids mechanics, I. N. Sneddon and R. Hill, eds., North-Holland, Amsterdam, 165–221.
7.
Melan, E. ( 1938). “Zur Plastizität des räumlichen Kontinuums.” Ing. Arch., 9, 116–126.
8.
Pham, D. C. ( 1992). “Extended shakedown theorems for elastic plastic bodies under quasiperiodic dynamic loading.” Proc., Royal Soc., London, A439, 649–658.
9.
Pham, D. C. ( 1996). “Dynamic shakedown and a reduced kinematic theorem.” Int. J. Plasticity, 12, 1055–1068.
10.
Pham, D. C. ( 1999). “Shakedown limits for reinforced beam structures under fluctuating loads.” Int. J. Solids and Struct., 36, 1297–1309.
11.
Save, M. A., and Massonnet, C. E. ( 1972). Plastic analysis of plates, shells and disks, North-Holland, Amsterdam.
12.
Symonds, P. S., and Neal, B. G. ( 1952). “Recent progress in the plastic methods of structural analysis.” J. Franklin Inst., 252, 383–407 and 469–592.
Information & Authors
Information
Published In
History
Received: Apr 6, 1999
Published online: Sep 1, 2001
Published in print: Sep 2001
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.