Two Main Methods for Yield Line Analysis of Slabs
Publication: Journal of Engineering Mechanics
Volume 129, Issue 2
Abstract
There is a controversy about whether the classical yield lines analysis methods are in fact different methods or simply different ways to develop basically the same method. In this paper two methods are proposed that, without invalidating previous ones, really correspond to the two different ways of performing yield line analysis and therefore facilitate a better comprehension of the general problem of the failure of slabs. These methods are the nearly abandoned “normal moment method” and a new “skew moment method.” In “normal moment method” only bending moments are supposed to act at yield lines. In “skew moment method,” twisting moments in addition to bending moments act along yield lines. The “normal moment method” is general only if yield patterns are “correct,” that is, they are composed by possible yield lines. If yield lines are “incorrect,” or not possible, yield line analysis can only be performed, in general, by means of “skew moment method.” As shown in this paper, many of the classical solutions of yield line analysis correspond to incorrect yield patterns. This work demonstrates that Johansen’s “nodal force theory”—or “equilibrium method”—and “work method” are only partial applications of “skew moment method.” This generalization of yield line analysis allows defining new equilibrium conditions not included in classical yield lines theory and permits obtaining more accurate solutions.
Get full access to this article
View all available purchase options and get full access to this article.
References
Ingerslev, A.(1923). “The strength of rectangular plates.” J. Inst. Estruct. Eng.December.
Johansen, K. W. (1962). Yield-line theory, Cement and Concrete Association, London.
Johansen, K. W. (1972). Yield-line formulae for slabs, Cement and Concrete Association, London.
Jones, L. L., and Wood, R. H. (1967). Yield-line analysis of slabs, Elsevier, New York.
Kemp, K. O. (1965). “Recent developments in yield line theory.” The evaluation of nodal and edge forces in the yield-line theory, Cement and concrete Association, London.
Kirkpatrick, S., Gelatt, C. D., Jr., and Vecchi, M. P.(1983). “Optimization by simulated annealing.” Science 220(4598), 671–680.
Morley, C. T. (1988). Nodal forces in slabs and the equilibrium method, Butterworths, London, 195–220.
Nielsen, M. P. (1984). Limit analysis and concrete plasticity, Prentice Hall, New York.
Quintas, V.(1994). “Sobre el método estático en el cálculo de placas de hormigón armado.” Hormigón y acero.,190 (in Spanish).
Sobotka, Z. (1989). Theory of plasticity and limit design of plates, Elsevier, New York.
Tzan, S. R., and Pantelides, C. P.(1996). “Annealing strategy for optimal structural design.” J. Struct. Eng. 12(7), 815–827.
Vázquez, M. (1994). “Recocido simulado: un nuevo algoritmo para la optimación de estructuras.” PhD thesis, Universidad Politécnica de Madrid, Spain, Chap. 4.
Information & Authors
Information
Published In
Copyright
Copyright © 2003 acs.
History
Received: Feb 28, 2002
Accepted: Jul 11, 2002
Published online: Jan 15, 2003
Published in print: Feb 2003
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.