Optimum Design of Composite Hybrid Plate Girders
Publication: Journal of Structural Engineering
Volume 117, Issue 7
Abstract
A general formulation using the generalized geometric programming (GGP) technique is presented for the optimum design of unstiffened and stiffened composite hybrid plate girders. It is based on the load factor design method of the American Association of State Highway and Transportation Officials standard specification for highway bridges. A mathematical formulation is developed for the optimization of the composite hybrid plate girder problem, using the weight of the girder as the objective function and the section properties and strengths for the problem constraints. The independent and dependent variables are defined for the optimization problem, and the design constraints are formulated in both equality and inequality forms. The nonlinear objective function and the nonlinear design constraints are expressed in suitable form for application of the GGP technique to find the optimum design. A computer program is written in FORTRAN 77 to implement the design procedure, and examples are presented to demonstrate the validity of the mathematical model.
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References
1.
Abuyounes, S., and Adeli, H. (1987). “Optimization of hybrid steel plate girders.” Comput. Struct., 27(5), 575–582.
2.
Avriel, M., Dembo, R., and Passy, U. (1975). “Solution of generalized geometric programs.” Int. J. Numer. Methods Engrg., 9(1), 149–168.
3.
Burns, S. A., and Ramamurthy, S. (1983). “Mathematical programming in structural design.” J. Struct. Div., ASCE, 109(7), 1669–1679.
4.
Burns, S. A. (1987). “Generalized geometric programming with many equality constraints.” Int. J. Numer. Methods Engrg., 24(4), 725–741.
5.
Chong, K. P. (1976). “Optimization of unstiffened hybrid beams.” J. Struct. Div., ASCE, 102(2), 401–409.
6.
Gass, S. I. (1985). Linear programming. McGraw Hill Inc., New York, N.Y.
7.
Goble, G. G., and Desantis, P. V. (1966). “Optimum design of mixed steel composite girders.” J. Struct. Div., ASCE, 92(6), 25–43.
8.
Goble, G. G., and Moses, F. (1971). “Automated optimum design of unstiffened girder cross section.” Engrg. J., AISC, 8(2), 43–47.
9.
Kelly, J. E. (1960). “The cutting plane method for solving convex programs.” J. Soc. Indust. Appl. Math., 8(4), 703–712.
10.
Kuo, C.‐H. (1989). “Optimum design of hybrid plate girders using generalized geometric programming,” thesis submitted to Widener University, at Chester, Pa., in partial fulfillment of the requirements for the degree of Master of Engineering.
11.
Schilling, C. G. (1974). “Optimum properties for I‐shaped beams.” J. Struct. Div., ASCE, 100(12), 2385–2401.
12.
Standard specifications for highway bridges. (1983). 13th Ed., AASHTO, Washington, D.C.
13.
Vachajitpan, P., and Rockey, K. C. (1978). “Design methods for optimum unstiffened girders.” J. Struct. Div., ASCE, 104(1), 141–155.
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Copyright © 1991 ASCE.
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Published online: Jul 1, 1991
Published in print: Jul 1991
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