Learning outcomes of the course unit
The Rational Mechanics course is a course in applied mathematics, the link between the courses of pure mathematics (Mathematical Analysis and Geometry) and of engineering content (especially Structural Mechanics).
The main objective of the course is to rigorously provide the basics of kinematics, statics and dynamics, necessary to consciously and critically confront the courses that characterise the Civil Engineering degree.
Knowledge of the Mathematical Analysis, Geometry and Physics courses taught in the first two years of the Civil Engineering degree is required.
Course contents summary
The contents of the Rational Mechanics course can be summarized as follows:
- Theory of free vectors
- Geometry of plane curves (determination of the tangent and normal)
- Kinematics of the element and rigid body (the basic formula of rigid kinematics)
- Acts of rigid motion (composition of acts of rotary motion)
- Relative kinematics (the element and rigid body)
- Rigid floor motions (instantaneous center of rotation)
- Mechanics of the element (static and dynamic of the free and bound element)
- Cardinal equations
- Theory of the applied vectors (principle of equivalence)
- Mechanics of rigid bodies
- Mechanics of articulated systems
- Principle of virtual work
As well as the handouts provided by the lecturer, the following texts are recommended:
P.G. Bordoni, Lezioni di meccanica razionale (Masson editoriale Veschi)
G. Ferrarese, Lezioni di meccanica razionale (Pitagora editrice)
P. Benvenuti - G. Maschio, Complementi ed esercizi di meccanica razionale (edizioni kappa)
The course consists of lectures, of which a significant proportion (almost half) will be devoted to practical work. This consists of mechanical examples and exercises that are designed to illustrate and apply the concepts presented in the theoretical part of the course.
The same type of exercises are proposed in the written examination. The exam consists of a written exam and subsequent oral exam. In some cases (the details of which will be outlined to the students during the lessons) a written test alone may be sufficient.