Fundamentals of Structural Analysis | Basic elasticity
Aircraft Structures for engineering students Basic elasticity Fundamentals of Structural Analysis Basic elasticity We shall consider, in this chapter, the basic ideas and relationships of the theory of elas-ticity. The treatment is divided into three broad sections: stress, strain and stress–strain relationships. The third section is deferred until the end of the chapter to emphasize the fact that the analysis of stress and strain, for example the equations of equilibrium and compatibility, does not assume a particular stress–strain law. In other words, the relationships derived in Sections 1.1–1.14 inclusive are applicable to non-linear as well as linearly elastic bodies. 1.1 Stress Consider the arbitrarily shaped, three-dimensional body shown in Fig. 1.1. The body isi n equilibrium under the action of externally applied forces P1, P2, ... and is assumed to comprise a continuous and deformable material so that the forces are transmitted throughout its volume. It follo...