Type of Document Master's Thesis Author Mehrotra, Anuj URN etd-08012012-040334 Title A geometric programming based procedure to design bridge superstructures Degree Master of Science Department Industrial Engineering and Operations Research Advisory Committee
Advisor Name Title Sarin, Subhash C. Committee Chair Hobeika, Antoine G. Committee Member Wang, Ching-Cheng Committee Member Keywords
- Geometric programming
Date of Defense 1988-06-21 Availability restricted AbstractThe routine procedure for designing bridge superstructures relies heavily on the
past experience of the designer and is extremely time consuming and costly to try out
alternative designs. Typically, a designer is more concerned about satisfying the design
requirements laid down by the American Association of State Highway and Transportation
Officials (AASHTO) than in coming up with the best possible design from the
economic point of view. Thus, application of suitable mathematical programming
techniques to determine optimal designs can result in tremendous savings.
In this thesis, a procedure based on Generalized Geometric Programming (GGP)
is developed to optimally design and select bridge superstructures. The bridge superstructure
design problems are formulated as GGP problems incorporating all the design
considerations as specified by AASHTO and the Virginia Department of Transportation
(VDOT). A primal based algorithm is used in which, the resulting optimization problems
are transformed to the solution of a series of Linear Programming problems that
are easy to solve.
A computer implementation of the algorithm is also developed. The software is
extremely versatile and user friendly. It provides several options to help determine the
optimal solution under varying design conditions, and is implemented on several representative problems provided by VDOT. Comparison of the resulting optimal with
the existing designs promises huge savings in terms of both cost and effort. The methodology that is developed can be used to solve other Engineering Designs Problems as well.
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