Abstract
The paper presents an estimation of the optimum cost of an isolated and combined footing following the safety and serviceability guidelines of Indian Standard (IS) 456:2000. The optimization methods, i.e., genetic algorithm, with static penalty function approach is developed in MATLAB compliant for optimal design of isolated and combined rectangular footing. The objective function formulated is based on the total cost of footing which includes the cost of concrete, steel and formwork. The influence design variables the total cost of footing are length, width and depth of footing and area of steel(flexural) reinforcement for moment at critical sections. The footing design algorithm is developed according to the biaxial-isolated and biaxial-combined rectangular footing as per IS codes. The constraints, e.g., dimension of footing, restriction on bending, shear stresses and displacements, are considered in the footing design algorithm which acted as a subroutine to the developed optimization programs. Five numerical examples have been taken to solved and evaluate the versatility of the developed method and observe the efficacy of method.
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