Abstract
The main objective of this paper is to achieve an optimal design for the reinforced concrete beams. Optimization of beams results in saving in cost. The objective function is to minimize the total cost of the beam. The cost of each beam includes the cost of concrete, reinforcement and formwork. The optimization process is done for different grades of concrete and steel to determine the best grade of concrete and steel. The optimal design is carried out using MATLAB's (The Mathworks, Inc.) software. Optimization problem is formulated as a Nonlinear constrained minimization problem. This was solved using the fmincon SQP Algorithm. Many problems were solved and it was found that the solutions give the most economical design.
Highlights
Optimization is the process of finding a minimum or maximum value of a function subject to some constraints
Optimization techniques play an important role in structural design, the very purpose of which is to find the best solutions from which a designer or a decision maker can derive a maximum benefit from the available resources
Ferreira et al studied on the optimal design of T-shaped reinforced concrete (RC) beams according to
Summary
Optimization is the process of finding a minimum or maximum value of a function subject to some constraints. The optimum cost design of the reinforced concrete (RC) elements has been investigated. The simulated annealing algorithm was employed by Leps and Sejnoha to find optimum values of continuous steel reinforced beams [3]. Cost optimization of singly and doubly RC beams was investigated by Barros et al [4] Govindaraj and Ramasamy made a detailed investigation on optimum design of RC continuous beams using GA. Optimization of reinforced concrete beam is carried out. Optimization process was done for different grades of concrete and steel and the effect of diameter of rods on optimal cost was studied. Many singly reinforced beams were optimized using the matlab algorithm. All the solved problems proved that the results are economical and give minimum construction cost
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