Yield‐Line Analysis by Linear Programming
Publication: Journal of Structural Engineering
Volume 114, Issue 6
Abstract
A unified approach for yield-line analysis (YLA) of slabs by using linear programming (LP) technique is developed and applied to a few problems for which solutions are available in the literature. The kinematic approach is used in the formulation of LP problem. The method is simple and straightforward to use and does not require the investigation of various yield-line patterns as long as the actual yield-line patterns can be described by the descretization lines. This is another example of the solution of problems of engineering plasticity by mathematical programming.
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References
1.
Anand, B. (1986). “Computer program for yield line analysis using linear programing,” thesis presented to the Indian Institute of Technology, Madras, India, in partial fulfillment of the requirements for the degree of Master of Technology.
2.
Cohn, M. Z., Ghosh, S. K., and Parimi, S. R. (1972). “Unified approach to theory of plastic structures.” J. Engrg. Mech. Div., ASCE, 98(5), 1133–1158.
3.
Gesund, H., and Goli, H. B. (1980). “Local flexural strength of slabs at interior columns.” J. Struct. Div., ASCE, 106(5), 1062–1078.
4.
Johanson, K. W. (1962). Yield line theory. Cement and Concrete Association, London, England.
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Jones, L. L., and Wood, R. H. (1967). Yield line analysis of slabs. Thames and Hudson, London, England.
6.
Munro, J., and Da Fonseca, A. M. A. (1978). “Yield line method by finite elements and linear programming.” Struct. Engrg. 56B(2), 37–44.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 114 • Issue 6 • June 1988
Pages: 1431 - 1437
Copyright
Copyright © 1988 ASCE.
History
Published online: Jun 1, 1988
Published in print: Jun 1988
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