Rational Mechanics - a.y. 2016/2017


CFU: 9

Period (Year/Semester): II/I

Languade: Italian

Required/expected prior knowledge: Mathematical Analysis I, Geometry and  Algebra 

Monica De Angelis - Class A-L 
Maurizio Gentile - Class M-Z

Course objectives:
Acquiring concepts and general principles that represent the scientific foundation of several significant mathematical models for engineering. Displaying the ability to apply the previously gained knowledge in order to solve simple evolution and equilibrium problems. 

Tables of contents:
Vector theory and tensor calculus. Equivalent systems of applied vectors. Geometry of masses. Kinematics of rigid bodies. Translational and rotational motions. Mozzi - Chasles' theorem and the screw axis. Rigid plane motions and applications to transmission problems. Relative motions and Coriolis theorem. Constraints and their classification with their analytic descriptions. Holonomic systems. Possible and virtual displacements. Degrees of freedom and generalized coordinates. Newton's laws of motion. Work, potential and energy. Constraints reactions and experimental properties. Friction laws. Principles and problems of mechanics of material systems. d’Alembert’s principle. Applications to rigid bodies. Introduction to the Lagrange’s equations. Equations of equilibrium. Principle of virtual works with applications. Equilibrium analysis and computation of constraints reactions. Analysis of Trusses: the method of joints and the method of sections. Beams. Eulerian and Lagrangian descriptions. Elements of continuum mechanics. 

Education method:
Lectures and classroom exercises.

Textbooks and learning aids:
Levi Civita  , Amaldi U - Lezioni Di Meccanica Razionale vol I, vol II ,Complementi alle Lezioni  (2013) Ed  CompoMat.
D’Acunto, Massarotti, “Meccanica razionale per l’ingegneria”, Maggioli Ed. (2016).
Biscari, Ruggeri, Saccomandi, Vianello, “Meccanica razionale per l’ingegneria”, Springer (2016).
Learning aids: notes in the site and class notes 

Assessment will be written and oral. Question are: multiple choice tests, open questions, numerical exercises.

Seminars/Workshop with CFU

Tecnologie innovative per la diagnostica ferroviaria

Seminario - 22/23 Febbraio 2023 - dalle ore 09:00 alle ore 15:00

Seminari di Acustica Applicata

29 Novembre - 6 e 13 Dicembre 2022

Progettazione e costruzione di motori ad elevate potenze specifiche

Seminario -La partecipazione consente l’acquisizione di 3 CFU per ulteriori conoscenze

© 2014 Mechanical Engeenering Courses
Department of Industrial Engineering
University of Naples Federico II
Realization and Administration: Rosario Moreschi