- Systems of applied forces and equilibrium conditions. Infinitesimal rigid displacement field. Theorem of virtual work for rigid bodies. Definition, static and kinematic aspects and multiplicity of constraints.
Structural mechanics: Elements of Rigid Structures Mechanics.
Introduction to plane structures and setting of the static problem.
Compatibility problem of structures.
Centers of relative and absolute displacement: definition, relation constraints-centers , theorems of alignment.
The fundamental relationship between lability, hyperstaticity, constrain multiplicity and the number of rigid bodies.
Theorems of displacements and forces for virtual rigid structures.
The characteristics of the stress in the structures and indefinite equations of equilibrium.
Elements of graphical static.
Static of trusses: definition and static analysis methods.
Structural mechanics: Elements of Mechanics deformable Structures.
Technical theory of the beam: the models of Euler-Bernoulli and Timoshenko. Equations of the elastic line.
Inelastic effects and thermal distortions on the structures.
Analysis of statically indeterminate structures: the force method.
The theorem of virtual work for the analysis of deformable structures.
Geometry of areas.
Kinematics: kinematic structure of mechanisms.
Kinematic pairs and classification criteria.
Calculation of degrees of freedom in a mechanism.
The equations method of closure.
Analysis of the configurations.
Matrix method for the calculation of g.d.l.
Reminders of the main relationships between speed and acceleration in rigid motions.
The method of polar diagrams.

- Paolo Casini,Marcello Vasta - Scienza delle Costruzioni - CittàStudi