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Cost Optimization of Concrete Beam Element – By Direct Exhaustive Search Method

By Zubin S. Mehta, Atul N. Desai and Sumant B. Patel


Abstract – Reinforced Concrete Beam (RCC) is a common flexural load taking element in the widely adopted RCC Framed Structures for buildings & in other structural systems. In design process structural cost reduction & thereby cost of every individual element (Beam, Columns, Slab & Footing) is again one of the most principle objectives in arriving at Techno-Economic-Feasibility of overall structure. Here in this paper it is shown that how the decision variables (b, D, Fck, Fy, Asprov, Mu, Vu etc) participating in design process of beam are interdependent and influences the Overall Objective – i.e. Minimizing Beam Element Total Cost (BE_TC). There are many mathematical methods for optimization, researches done, with innovations and individual or combinations of optimization techniques utilized specific to Nature & type of optimization problem formulation decision variables, & constraints. (Ref [3], [4]) – However no single method is most appropriate or generalized. Here in this paper the method of optimization used is most primary & conventional that is exhaustive direct search – that is evaluating design and objective at each combination of discrete decision variables & arriving at least cost- BE_TC ( but for a feasible design). Effectiveness in these optimization techniques is valid for the present purpose of research-the Type of Design & Objective problem formulation and limitation imposed due to many discontinuities inherent to the RCC Beam Design problem-Codal requirements & discrete nature of many decision variables

Topics: Key Words – Decision Variables (b, D, Design Constraints, Section Design Type, Discrete Sizes, Objective Function (BE_TC, Feasible solution, Optimum Solution
Year: 2013
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