Strength and Elasticity of Materials

1. Introduction to mechanics of elastic bodies. Second moment (moment of inertia) of a plane area. Parallel axis theorem.
2. Transformation equations for moments and products of inertia. Principal axis of inertia. Mohr`s circle.
3. Simple stress and strain. Tensile and compression. Hooke`s law. Poisson`s law.
4. Tensile and compression. Statically determinate and indeterminate problems.
5. Stress theory. Mohr`s circle. Principal stress. Yield criteria.
6. Shear stress. Hooke`s law. Torsion of hollow shaft. Statically determinate and indeterminate problems.
7. Simple bending theory. Shearing forces. Bending moment.ss
8. Bending stresses in beam. Slope and deflection of beams.
9. Strain energy. Applications of energy methods. Castigliano`s theorem on deflections.
10. Statically indeterminate beams.
11. Elastic and Inelastic Stability of columns. Euler buckling of columns with general end of constrain. Inelastic buckling of column. Tetmayer`s solution.
12. Combined stress. Nonsymmetrical bending. Neutral axis. Combined beam and torsion.
13. Cranked beams and frames. Thin curved beam. Statically determinate and indeterminate problems.
14. Numerical solution problems of mechanics of materials. Introduction to finite element method.