This book presents both differential equation and integral formulations of boundary value problems for computing the stress and displacement fields of solid bodies at two levels of approximation - isotropic linear theory of elasticity as well as theories of mechanics of materials. Moreover, the book applies these formulations to practical solutions
Cartesian Tensors. The Strain and Stress Tensors. Stress-Strain Relations. Yield and Failure Criteria. Formulation and Solution of Boundary Value Problems Using the Linear Theory of Elasticity. Prismatic Bodies Subjected to Torsional Moments at Their Ends. Plane Strain and Plane Stress Problems in Elasticity. The Theories of Mechanics of Materials. The Theories of Mechanics of Materials for Straight Beams Made from Isotropic, Linearly Elastic Mechanics. Non-Prismatic Members-Stress Concentrations. Planar Curved Beams. Thin-Walled Tubular Members. Integral Theorems of Structural Mechanics. Analysis of Statically Indeterminate Framed Structures. The Finite Element Method. Plastic Analysis and Design of Structures. The Mechanics of Materials Theory for Thin Plates. Instability of Elastic Structures.