Optimum design of statically indeterminate composite structures

Abstract

This study was primarily concerned with a systematic approach for determining an optimum design for an indeterminate composite structure. In this case, an optimum design was taken to mean a minimum in the total structural weight while conforming to the AISC design specifications. Matrix techniques were adopted for solving the reactions, moments and stresses in the indeterminate structure. The cutting plane method was used for converting the resultant nonlinear problem into a linear programming problem. The simplex method, an efficient and rapid algorithm, was then utilized to obtain the optimum solution. Finally, computer programs were presented along with numerous optimum design examples.