1
Elementary Elasticity
1.1 INTRODUCTION
An experimental stress analyst must have thorough understanding of stresses and strains developed in any structural member. Therefore, relationships between deformations, strains, and stresses developed in a body are derived in this chapter. Further generalized Hooke’s law, equilibrium equations and compatibility equations, and Airy’s stress functions for determining stresses at any point in a member subjected to known loads/stresses on its boundary form the text of this chapter. Plane stress state, plane strain state, and three-dimensional displacement field along with strain matrix are also discussed in the chapter.
1.2 STRESS TENSOR
All stresses acting on a cube of infinitesimally small dimensions, ...
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