Optimal design of prestressed concrete composite slab by geometric programming

Abstract

Geometric programming (GP) has been found suitable for optimal design of many engineering systems. This paper presents a method based on GP for cost-optimal design of prestressed concrete panel composite slab. Precast prestressed concrete panels are used as formwork for cast-in-situ reinforced concrete floor slab. The objective function of the optimization problem includes cost of concrete, prestressing, erection and reinforcing. The constraints are formulated based on allowable stresses, deflections and geometry of the structural systems. The optimization problem is solved to obtain the optimal values of the design variables.