Matlab Programming for Optimization of Reinforced Concrete Beams and Columns

Abstract

Optimization is the process of obtaining the best results under certain circumstances. The objective of this study is to minimize the total cost of beams and columns including material cost and cost of formwork subjected to the serviceability and strength requirements described by IS 456-2000 code. The non-linear programing algorithms and the MATLAB codes for the optimization of cross-section of reinforced concrete beams and columns implementing one of the classical methods of optimization, Sequential Quadratic Programming (SQP) are developed in this study. The design procedure conforms to the IS 456-2000. Examples are presented that demonstrate the ability of this formulation to achieve optimal designs in less time and minimum complexity.