Nonlinear Finite Element Model for the Optimization of Post-Tensioned One-Way Concrete Slab

Abstract

Optimization in its wide sense can be used to solve many engineering problems and to find the best solutions so that designers can gain a maximum benefit from the available resources. In this research a nonlinear Finite Element (FE) model was developed for the optimization of Unbonded Post-Tensioned (UPT) one-way slab. ANSYS program was used to find the optimum total weight of Post- Tensioned Tendon (PTT). In the optimization analysis, the objective function is the total weight of PTTs. The area of PTT, tendon initial stress, and tendon eccentricity are considered as the design variables. Concrete normal stress, steel tendon stress, concrete shear stress, and mid-span deflection of concrete slab are considered as constraints. The optimization result indicates that the total weight of PTTs can be reduced about 33% for the UPT slabs using an appropriate optimization algorithm.