Title page for ETD etd-08012012-040334

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
  • Geometric programming
Date of Defense 1988-06-21
Availability restricted
The 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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