1. General equations and principles of the theory of elasticity. Dimensional elasticity.
2. Plane elasticity in Cartesian coordinates, different formulations.
3. Stress function and its mechanical interpretation on the contour.
4. Polynomial solutions. Trigonometric series solutions and finite differences.
5. Deep beams.
6. Plane problem in polar coordinates.
7. Different formulations of the plane solution in polar coordinates. Axial symmetric state.
8. Free torsion of non-circular prismatic bars.
9. The Prandtl membrane analogy. Plastic torsion.
10. Flat plates. Assumptions. Displacements, strains, stresses.
11. Internal forces. Differential equation of the plates. Boundary conditions.
12. Solutions for the rectangular plate. Polynomial, trigonometric, and finite differences solutions.
13. Circular plates. Differential equation. Axial symmetric state.
14. Plastic analysis of the plates.
