The objective of the course is to provide a basis for the analytical modeling of problems in mechanics, including elementary problems in continuum mechanics. The expected result is to earn the capability to apply analytical methods to basic aspects of statics of structures.
Course Prerequisites
Linear algebra, calculus, ordinary differential equations.
Teaching Methods
Lectures, Exercise Classes, and Tutoring.
Assessment Methods
Written test, followed, if passed, by an oral test (optional or if requested by the teacher).
Texts
P. Biscari, C. Poggi, E.G. Virga. Mechanics Notebook. Liguori. Napoli, 2^ edizione, 2005.
F. Bisi, R. Rosso. Introduzione alla Meccanica Teorica. La Dotta, Bologna, (2014)
P. Biscari. Introduzione alla Meccanica Razionale, Springer, Milano, 2015.
G. Grioli. Lezioni di Meccanica Razionale . Cortina. Padova, 1985.
Contents
The course aims at illustrating the role of mathematical modelling in structural mechanics; special emphasis is given to statics and equilibrium stability. Topics: Tensorial algebra; Differentiable curves in space; Systems of applied vectors; Inertia; Kinematics; Lagrangian dynamics; Equilibrium of mass-point systems; Equilibrium stability; Stratics of one-dimensional continua.
