ABSTRACT
This chapter focuses on using linear programming techniques to synthesize constituent members of an elastic structure for the minimum weight of the system. The structural system includes indeterminate trusses, continuous beams and frameworks for which the displacement method is briefly reviewed and employed in formulating various constraint equations and objective functions. The chapter develops mathematical formulations and numerical solutions for various structures subjected to static loads. The chapter optimizes indeterminate structures with the linear optimization (LP) algorithms. It shows how to apply the linear programming algorithm in both prime and dual forms to nonlinear optimization of structures for both static and dynamic forces. Linear programming optimization can effectively solve problems with thousands of design variables. It can conveniently be used for detailed design of repeatedly constructed structures such as typical bridges, gable frames and precast members.
