Structural analysis comprises the set of mechanics theories that obey physical laws required to study and predict the behavior of structures. The subjects of structural analysis are engineering artifacts whose integrity is judged largely on their ability to withstand loads. Structural analysis incorporates the fields of mechanics and dynamics as well as the many failure theories. From a theoretical perspective, the primary goal of structural analysis is the computation of deformations, internal forces, and stresses. In practice, structural analysis reveals the structural performance of the engineering design and ensures the soundness of structural integrity in design without dependence on direct testing.

In the mechanical and aerospace industries, engineers often confront the challenge of designing mechanical systems and components that can sustain operating loads, meet functional requirements, and last longer. It is imperative that these structures contain a minimum of material to reduce cost and increase efficiency of the mechanical system, such as in terms of fuel consumption. The geometry of these load-bearing structural components is usually complicated because of strength and efficiency requirements. Three of such structural