Grey Wolf Optimization–Aided Cost-Minimization Technique of Reinforced Concrete T-Beam at Ultimate Load

Abstract

Minimizing construction cost while simultaneously meeting structural requirements has been an important topic. This study addresses the application of grey wolf optimization (GWO) to the cost minimization of T-beams subjected to ultimate loading. Both the objective and constraints functions take the self-weight of T-beams into account. Due to their section modulus, T-beams have a high ultimate bending moment capacity, especially over long spans. The objective function has been split into three subobjectives: concrete, steel, and formwork costs. Standard design constraints were followed. The constraint functions include the nonlinear behavior of concrete and steel. Ten T-beams of varied lengths were evaluated, and corresponding low-cost design solutions were provided. The relationship between the length of the T-beam and the efficiency of GWO was demonstrated. Comparisons between optimal solutions attained and standard design solution demonstrated conclusively that the proposed method typically results in large reductions in the quantity of building materials needed. This method can be easily adaptable to various types of RC frame construction and other building codes.