Model for Optimal Design of Reinforced Concrete Beam
Publication: Journal of Structural Engineering
Volume 118, Issue 11
Abstract
An infinite member of combinations of values of the effective depth, width, and area of reinforcement could yield the same nominal moment capacity of a reinforced concrete beam. In the conventional process, a designer often assumes a beam section not linked with cost, and the process is repeated if the assumed section is not adequate. This technical note presents a model for the optimal flexural design of singly reinforced concrete beam in which the process is reversed; i.e., applied bending moment and other parameters are inputs, and the beam section is the output of the model. Using this nonlinear programming model, the unique least-cost beam design could be achieved directly, exactly matching its ultimate moment of resistance with the ultimate applied bending moment, including that due to the self-weight. Application of this new design technique is illustrated with example problems showing considerable savings in cost and material consumption.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Beightler, C., and Phillips, D. T. (1976). Applied geometric programming. John Wiley & Sons, New York, N.Y.
2.
Chakrabarty, B. K. (1986). “Systems engineering approach in residential land planning.” Socio‐Economic Planning, Sciences, 20(1), 33–39.
3.
Chakrabarty, B. K. (1988). “A model for optimal design of dwelling‐layout system.” Building and Envir., 23(1), 67–77.
4.
Chakrabarty, B. K. (1991). “Optimization in residential land subdivision.” J. Urban Planning and Development, 117(1), 1–14.
5.
Chakrabarty, B. K. (1992). “Model for optimal design of re‐inforced concrete beam.” Computers and Struct., 42(3), 447–451.
6.
Everhard, N. J., Tanner, J. L. III. (1987). Theory and problems of reinforced concrete design. McGraw‐Hill Book Co., Inc., New York, N.Y.
7.
Fintel, M. (1986). Hand book of concrete engineering. CBS Publishers and Distributors, Delhi, India.
8.
Reynolds, C. E. (1961). Re‐inforced concrete designer's handbook. Concrete Publications Limited, London, England.
9.
Stark, R. M., and Nichols, R. L. (1972). Mathematical foundations for design. McGraw‐Hill Book Co., Inc., New York, N.Y.
Information & Authors
Information
Published In
Copyright
Copyright © 1992 ASCE.
History
Published online: Nov 1, 1992
Published in print: Nov 1992
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.