First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
THEORETICAL AND APPLIED MECHANICS (Ult. numero di matricola pari)
IN02119443, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2018/19

Information on the course unit
Degree course First cycle degree in
IN0509, Degree course structure A.Y. 2011/12, A.Y. 2019/20
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Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination THEORETICAL AND APPLIED MECHANICS
Department of reference Department of Management and Engineering
Mandatory attendance No
Language of instruction Italian
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit


ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses ING-IND/13 Applied Mechanics for Machinery 9.0

Course unit organization
Period Second semester
Year 2nd Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 9.0 72 153.0 No turn

Start of activities 02/03/2020
End of activities 12/06/2020
Show course schedule 2019/20 Reg.2011 course timetable

Examination board
Board From To Members of the board
20 2018 canale 2 01/10/2018 15/03/2020 TREVISANI ALBERTO (Presidente)
19 2018 canale 1 01/10/2018 15/03/2020 BOSCHETTI GIOVANNI (Presidente)
TREVISANI ALBERTO (Membro Effettivo)

Prerequisites: Knowledge and basic skills of physics (kinematics and dynamics of a point and of a rigid body), of mathematical analysis and linear algebra.
Target skills and knowledge: The course aims to provide students with the fundamental technical knowledge (laws, equations, theorems) for mechanical modeling. The course allows acquiring knowledge on the main components for motion generation and power transmission.
The course provides methodologies and tools for solving the kinematic and dynamic analysis of machines, with reference, in particular, to planar motion.
Examination methods: The assessment of knowledge and abilities is carried out through a written assessment divided into two parts done in the same day:
- in the first part, through at least two separate open-ended questions, the student's knowledge of the course topics is ascertained,
- in the second part, through the solution of a practical problem (exercise), the abilities related to mechanical modeling and the computational capabilities are ascertained.
Assessment criteria: The evaluation criteria by which the knowledge and abilities acquired will be verified are:
- the completeness of the theoretical knowledge acquired on the course topics;
- the level of autonomy acquired in the interpretation and solution of mechanical of machine problems.
- proved ability to apply theoretical knowledge to the development of kinematic and dynamic models of mechanisms;
- the presentation capabilities and the rigorousness in the discussion of the issues discussed
Course unit contents: INTRODUCTION: definition of machine and mechanism. Equilibrium, constitutive and congruence equations, simplifying hypotheses. Analysis and synthesis of machines: definition of forward and inverse kinematic analysis, definition of forward and inverse dynamic analysis, kinematic synthesis.

KINEMATICS OF PLANAR LINKAGES: relative motion, kinematic pairs, Grubler equation, loop-closure equations, choice of the independent equations. Assur groups, identification of Assur groups in a mechanism. Loop closure equation Jacobian matrix, numerical iterative solution of position loop closure equations; Newton-Raphson iterative scheme. Solution of position, velocity and acceleration kinematics analysis, velocity and acceleration ratios. Singular configurations. Basic examples: slider-crank mechanism, four-bar linkage, turning-block linkage. The instantaneous center of rotation. Exercises.

DYNAMICS OF PLANAR LINKAGES: essentials of rigid-body mechanics and mass distribution. Principle of virtual work: definition and application to inverse dynamics problems. D’Alambert principle; kinetostatic application of the principle of virtual work. Lagrange equations. Projected inertia. Solution of inverse dynamics problems using Newton’s approach, computation of joint reactions. Forward dynamics essentials. Exercises.

KINEMATICS, DYNAMICS AND SYNTESIS OF CAMS: mechanisms with planar cams: classification, definition of the pressure angle, kinematics analysis and synthesis (basics), introduction to motion profiles and to trajectory planning, kinetostatic analysis.

POWER TRANSMISSION COMPONENTS: gear trains: definitions, essentials of gears, ordinary and planetary gear trains, Willis equation, computation of the actual gear ratio, epicyclic speed-reducers. Power transmission with flexible components (ropes, chains, belts). Basics of other power transmission mechanisms (leadscrew, rack and pinion). Lagrangian dynamic models for single-degree-of-freedom mechanisms with power transmissions. Mechanical efficiency of power transmissions. Exercises.
Planned learning activities and teaching methods: - Lectures also with the support of computer material (power point and pdf files prepared by the lecturer, plots and elaborations in Matlab, videos and images, industrial catalogs)
- Exercises developed on the blackboard
Additional notes about suggested reading: All teaching material (lecture notes, exercises, exam topics) is made available by the "moodle" platform (
Textbooks (and optional supplementary readings)
  • Giovagnoni, Marco; Rossi, Aldo, Una introduzione allo studio dei meccanismi M. Giovagnoni, A. Rossi. Padova: Libreria Cortina, 1999. Cerca nel catalogo
  • Funaioli, Ettore; Maggiore, Alberto; Meneghetti, Umberto, Lezioni di meccanica applicata alle macchine. Bologna: Pátron, 2005. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Problem based learning
  • Case study
  • Video shooting made by the teacher/the students
  • Use of online videos
  • Loading of files and pages (web pages, Moodle, ...)

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)

Sustainable Development Goals (SDGs)
Industry, Innovation and Infrastructure Responsible Consumption and Production