Using finite element methods, an exhaust system's design can be optimized for weight and cost considerations. The optimization process involved the initial modeling of the system, the determination of an accurate loading system and the iterative analysis of trial designs. A static, gravitational loading was initially applied to the structure. A dynamic loading was then applied, using sinusoidal displacements at the exhaust system's support points. The optimizations resulting from the dynamic and static analyses yielded structures with 22% and 25% reductions in weight, respectively.