Optimal design of prestressed concrete hollow core slabs panels

The research deals with the optimization that adopted by modified Hooke-Jeevs method which is considered very appropriate method especially for problems that have too many constraints. The formalizing of objective function was discussed according to required purpose; the research discussed three purposes (optimum weight, optimum cost and optimum live load). It found that the average void percent regarding the optimum weight is about (50%), whereby the section tends to be in a shape where the voids become a little bit less than thickness and width, taking into consideration that the section is subjected to all constraints, from the other side, it's obtained that the average of void percent concerning with the optimum cost is about (41%), the research also adopted preparing designable tables which are informative, and easy in use practically for different kind of hollow core slab sections.