Kinematics. Kinematics of solids.

Kinetics. Material systems with mass conservation. The solid body; finite collections of solid bodies.

Dynamics. Fundamental principles of dynamics. General theorems for a material system with mass conservation. Contact laws between solid bodies. Kinetic energy theorem, Lagrange equations and other energy theorems for finite collections of solid bodies. Equilibrium and stationary motion. Applications (stability, linear vibrations, gyroscopes, etc.)

Continuum Mechanics. Geometry of continuous media. Continuity, kinematics, dynamics of continuous media. Stress and strain tensors. Characteristic properties of materials.

Theory of Elasticity. General considerations. Castiglianoís theorem, theorem of De Fonviolant. Two dimensional elasticity. Thermal stress and strain.

Theory of Beams. Normal stress under bending in straight beams. Two cases of shear stresses: buckling and torsion. Axial strain in straight beams. Introduction to curved beams. Elasticity potential. Methods of resolution. Isostatic straight beams. Hyperstatic straight beams. Buckling of structures, curved beams. Arches. Elastoplastic bending of beams.

Beam Systems. Method of displacement of nodes. Flat structures. Hardy-Cross method. Generalization of the three moment equation. The articulated plane system.

Numerical analysis in structural analysis. Approximate methods including finite differences and finite elements applied to elasticity problems.