TECHNICAL PAPERS
Nov 1, 1985

Minimum Cost Prestressed Concrete Beam Design

Publication: Journal of Structural Engineering
Volume 111, Issue 11

Abstract

An integer programming formulation for the minimum cost design of precast, prestressed concrete simply supported beams is developed. The cross section and gridwork within which strands must be placed are assumed given, and the design problem is to determine the concrete strength and the number, location, and draping of strands that minimizes the total cost of the beam. Constraints limit release and service load stresses, ultimate moment capacity, cracking moment capacity, and release camber. A box girder for a multibeam highway bridge is designed to demonstrate the computer program written to implement the methodology.

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References

1.
Bengtsson, A., and Wolf, J. P., “Optimum Integer Number and Position of Several Groups of Prestressing Tendons for Given Concrete Dimensions,” Computerized Structural Analysis and Design, National Symposium, George Washington University, Washington, D.C., 1972.
2.
Gobal, G. G., and LaPay, W. S., “Optimum Design of Prestressed Beams,” ACI Journal, Sept., 1971.
3.
Jones, H. L., James, M. E., and Cline, T. W., “Automated Design of Prestressed Concrete Box Girders,” Research Report 194‐1(F), Texas Transportation Institute, Texas A&M University, College Station, Tex., 1975.
4.
Kirsch, U., “Optimum Design of Prestressed Beams,” Computers and Structures, Vol. 2, 1972, pp. 573–583.
5.
Kirsch, U., “Optimized Prestressing by Linear Programming,” Journal of Numerical Methods in Engineering, Vol. 7, 1973, pp. 25–136.
6.
Mathematical Programming System—Extended (MPSX), and Generalized Upper Bounding (GUB), Program Description, IBM Corporation, White Plains, N.Y., 1972.
7.
Schuermann, A., “Heuristic Integer Linear Programming,” thesis presented to the University of Arkansas, at Fayettesville, Ark., in 1971, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
“Standard Plans for Highway Bridges—Volume 1, Concrete Superstructures,” U.S. Department of Transportation, Federal Highway Administration, Bureau of Public Roads, Washington, D.C., Aug., 1973.
9.
Standard Specifications for Highway Bridges, 12th ed., American Association of State Highway Officials, Washington, D.C., 1977.
10.
Taha, H. A., Integer Programming, Academic Press, New York, N.Y., 1975.
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Taha, H. A., Operations Research, MacMillan Publishing Co., New York, N.Y., 1971.
12.
Wilson, J. F., and Touma, A., “Design Optimization of Prestressed Concrete Spans,” Computerized Structural Analysis and Design, National Symposium, George Washington University, Washington, D.C., 1972.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 111Issue 11November 1985
Pages: 2464 - 2478

History

Published online: Nov 1, 1985
Published in print: Nov 1985

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Authors

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Harry L. Jones
Assoc. Prof., Dept. of Civ. Engrg., Texas A&M Univ., College Station, Tex. 77843

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