Preface for the book
Preface for the part

Chapter 1 Stress
1.1 Stress at the surface of a body
1.2 Stress in the interior of a body
1.3 Two-dimensional (2D) stress state, three-dimensional (3D) stress state and stress transformation

Chapter 2 Strains
2.1 Strains in two-dimensional problems
2.2 Strains in three-dimensional problems
2.3 Strains in an arbitrary direction
2.4 Principal strains
2.5 Conditions of compatibility

Chapter 3 The Relationship between Stresses and Strains: The Generalized Hooke's law

Chapter 4 Equilibrium Equations

Chapter 5 Saint Venant's Principle and Boundary Conditions
5.1 Saint Venant's Principle
5.2 Boundary conditions

Chapter 6 Two-Dimensional Problems
6.1 Plane stress and plane strain
6.2 Basic conditions for exact solutions: Nature of solutions
6.3 Airy's stress function
6.4 Hollow cylinder
6.5 Stress concentration at a circular hole
6.6 Stress concentration at an elliptical hole
6.7 Stress concentration at a hole in a finite width plate
6.8 Stress concentration at a crack
6.9 Stress field due to a point force applied at the edge of a semi-infinite plate
6.10 Circular disk subjected to a concentrated force

Chapter 7 Torsion of a Bar with Uniform Section
7.1 Torsion of cylindrical bars
7.2 Torsion of bars having thin closed section
7.3 Saint Venant's torsion problems
7.4 Stress function in torsion
7.5 Membrane analogy: Solution of torsion problems by using the deformation of pressurized membrane
7.6 Torsion of bars having thin unclosed section
7.7 Comparison of torsional rigidity between a bar with an open section and a bar with a closed section

Chapter 8 Energy Principles
8.1 Strain energy
8.2 Uniqueness of the solutions of elasticity problems
8.3 Principle of the virtual work
8.4 Principle of the minimum potential energy
8.5 Castigliano's theorem
8.6 The reciprocal theorem

Chapter 9 The Finite Element Method, FEM
9.1 FEM for one-dimensional problems
9.2 Analysis of plane stress problems by the finite element method

Chapter 10 Bending of Plates
10.1 Simple examples of plate bending
10.2 General problems of plate bending
10.3 Transformation of bending moment and torsional moment
10.4 Differential equations for a plate subjected to loads on the surface and their applications
10.5 Boundary conditions in plate bending problems
10.6 Polar coordinate expression of the quantities of plate bending
10.7 Stress concentration in plate bending problems
10.8 Bending of a circular plate

Chapter 11 Deformation and Stress in Cylindrical Shells
11.1 Basic equations
11.2 Various problems of cylindrical shells

Chapter 12 Thermal Stress
12.1 Thermal stress in a rectangular plate – Simple examples of thermal stress
12.2 Thermal stress in a circular plate
12.3 Thermal stress in a cylinder

Chapter 13 Contact Stress
13.1 Two-dimensional contact stress
13.2 Three-dimensional contact stress
Problems of Chapter 13

Appendix
Appendix 1 Rule of direction cosines
Appendix 2 Green's theorem and Gauss' divergence theorem

Answers and Hints for the Problems