Optimal Design of Reinforced Concrete T-Beam Floors

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  Nabeel Abdulrazzaq Jasim   |      Nabeel Abdulrazzaq Jasim   |      Naseer Abdulsalam Ibrahim   |      Alaa Chaseb Galeb   |      Zainab Abdulelah   |   

Mathematical programming techniques have been used to minimize the cost of the reinforced concrete T-beam floors. The floor system consists of a one-way continuous slab and simply supported T-beams. The study presents a formulation based on elastic analysis followed by the ultimate strength method of design with the consideration of serviceability constraints as per the ACI Code. The formulation of the optimization problem has been made by utilizing the interior penalty function method as an optimization method to minimize the objective function representing the cost of the one-meter length of the floor system. The cost includes the cost of concrete reinforcement and formwork. The design variables considered in this study are the dimensions and the amounts of reinforcement for the slab and beams, in addition to the spacing of the beams. Many examples are solved to show the effect of these design variables on the optimum solution of the floor system. The effect on the optimum design of the compressive strength of concrete, yield strength of steel, concrete cost ratios, and formwork cost ratios has also been studied.