italian version

Aims :

The statics of the rigid bodies is first presented, followed by the study of statics and kinematics of the elastic bodies with special regards to beams. The aims are: to acquaint with the strain, stress and elasticity concepts; to resolve statically indeterminate framed structures; to verify their safety; (to discuss the stability of the compressed columns).

Topics :

RIGID STRUCTURES. Kinematic Problem (kinematic problem, structure classification). Static Problem (constraint reactions, N, T, M diagrams). Virtual Work Theorem (static compatibility for mechanisms, constraint reactions computation). Area properties (moments of inertia, ECI, NCI). Structural Symmetry (simulation and simplifications). equilibrium
DEFORMABLE BODIES. Continuum kinematics (strain, compatibility). Continuum statics (field and boundary equilibrium equation). Constitutive equations (elastic, linear, isotropic). (Local) Safety criterion (stress: Galilei, Tresca, Mohr; energy: Beltrami, von Mises).
THE BEAM. Normal Force, Bending Moment, Shear Force, Torsion. Elastica and Mohr’s analogy. Virtual Work Theorem for deformable bodies: application to displacement computation and to resolve statically indeterminate structures. Stability of the compressed elastic columns (Euler).


Textbooks :

Comi, Corradi dell’Acqua, Introduzione alla Meccanica Strutturale, McGraw-Hill, 2003.
Viola, Esercizi di Scienza delle Costruzioni, Pitagora.
Corradi dell’Acqua, Meccanica delle Strutture, Vol. 1 (2) 3, McGraw-Hill.
Boniolo, Vidali, Introduzione alla filosofia della scienza, Bruno Mondatori Editore.

Exam :

Written partial tests, oral final discussion.

Tutorial Session :

Tuesday: 10:30 ? 14:00 (except for incompatibly with future lectures).