italian version

Aims :

The course aims to the basic knowledge of Rigid Body Mechanics, with a focus on the statics of trusses and frames.

Topics :

Vector spaces. Scalar and vectorial products. Tensor spaces. Identity tensor. Transpose. Symmetric and skew-symmetric tensor: axial tensor. Orthogonal tensors.
Kinematics. Deformation and deformation gradient. Deformations of line, surface and volume elements. Polar decomposition theorem. Kinematics of rigid bodies: degrees of freedom. Spin Tensor and angular velocity. Poisson formula. Plane rigid motion.
Constraint: lagrangean coordinates. Multiple constraints. Statically determinated, undeterminated and impossible systems.
Rigid body statics: internal actions in rigid systems. Work, power and energy. Force and couplke resultants. Virtual power principle. Static balance laws. Reactive forces in constrained rigid systems. Reactive forces in statically determinated rigid systems. Reactive forces and equilibrium configurations in statically impossible rigid systems. Statics of rods: internal actions, balance laws and boundary conditions. Internal action diagrams. Plane rods: archs and straight rods.

Textbooks :

Manuscript notes

• L. Corradi Dell'Acqua, Meccanica delle Strutture, Vol. 1 e 2, McGraw-Hill, 1992.
• L. Gambarotta, L. Nunziante, A. Tralli, Scienza delle Costruzioni, McGraw-Hill, 2003.
• C. Comi, L. Corradi Dell'Acqua, Introduzione alla Meccanica Strutturale, McGraw-Hill, 2003.
• E. Viola, Esercizi di Scienza delle Costruzioni, Pitagora.
• O. Belluzzi, Scienza delle Costruzioni, Vol. I e II, Utet.

Exam :

The final grade is comprised of a written part and an oral examination.

Tutorial Session :

Wednesday 13.30-14.30