28555 - Automatic Machines

Course Unit Page


This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.

Decent work and economic growth Industry, innovation and infrastructure

Academic Year 2021/2022

Learning outcomes

The course aims to provide the knowledge related to the mechanical behaviour of materials and the methodologies for the analysis, and the design of mechanical elements used in automatic machines. At the end of the course, the student: -can study and design elastic and slender bodies accounting their ability to deform under different types of static load; -can create mathematical models to describe the mechanical behaviour of elastic and slender bodies to be used in automatic machines; -it can analyse the behaviour of elastic and slender bodies when subject to vibrations.

Course contents

The course is divided into two modules, corresponding respectively to 6 CFU and 3 CFU. The two modules are developed in parallel during the period of the lessons.

The first module, 6 CFU (60 hours), is dedicated to the study of the Mechanical Behavior of Materials for Mechatronics. Details of each section are provided below.

M1-1 Statics of rigid bodies and calculation of constraint reactions in the case of mobile loads and mobile constraints

M1-2 Internal actions in slender bodies (e.g. beams) and their diagrams

M1-3 The concept of strain in slender bodies, simple and composite bodies, even in the presence of uniform and variable thermal fields

M1-4 The concept of stress in slender bodies, simple and composite bodies, even in the presence of uniform and variable thermal fields

M1-5 Constitutive laws for materials (metallic, plastic and ceramic); with particular regard to quasi-static and viscoelastic behavior

M1-6 Study of the four stress cases (normal stress, torsion, pure bending and bending with shear), even in the presence of uniform or variable thermal fields, with particular regard to the analysis of the displacement fields of slender bodies and their application in the mechatronic cases.

M1-7 Beam deflection and related differential equations; exercises and applications of the study of beam deflection under load conditions and moving constraints

In the second module, vibratory phenomena are addressed. In particular, the following topics are addressed:

M2-1 Study of the vibration of one-degree-of-freedom systems.

M2-2 Matrix analysis of structures subjected to static and dynamic loads; study of the vibration of elastic systems with many degrees of freedom

M2-3 Study of the vibration of continuous bodies subjected to normal, torsional and flexural stresses

The first module and the second module are completed by exercises.

Some of the exercises are carried out by the teachers during the lessons (there is no specific day for the exercises).

Other exercises are, instead, only set by the teachers in the classroom and the students must complete them at home independently and collect them in a homework book which will be an integral part of the oral examination. Finally, additional exercises are also assigned to the students, which must be carried out autonomously at home and which must be collected in the homework book which will be discussed during the oral examination.


1. Notes of the teacher

2. James M. Gere, Barry J. Goodno, Mechanics of Materials, Cengage Learning, 2012

3. Sanjay Govindjee, Engineering Mechanics

of Deformable Solids, Oxford University Press, 2013

4. R. C. Hibbeler, Statics, Pearson Prentice Hall, 2016

5. R. C. Hibbeler, Mechanics of Materials, Pearson Prentice Hall, 2016

6. R. C. Hibbeler, Dynamics, Pearson Prentice Hall, 2016

7. Robert C. Juvinall, Kurt M. Marshek, Fundamentals of Machine Component Design, John Wiley & Sons, 2012

Teaching methods

Frontal teaching in the classroom with use of slides and videos.

The course is developed both providing theoretical concepts and carrying out and assigning theoretical exercises and applications related to construction aspects of Automatic Machines.

To students are assigned exercises to be carried out autonomously and individually (only if specified by the teacher some exercises may be carried out in groups and, in this case, the names and surnames of the students who participated in the group must be specified in the homework book). These exercises must be collected, in an orderly manner, in a homework book that the students must bring to the exam for oral discussion.

Assessment methods

The examination will cover the topics covered during module 1 and module 2 will take place through an oral interview with the teacher. During the oral examination the student will have to answer theory questions and will have to discuss the exercises of the homework book. In addition, the teacher will ask the student cross-cutting and reasoning questions related to the topics and exercises covered in class. Usually, during the oral examination, 5 questions will be asked, 3 related to the first module and 2 related to the second module. In order to pass the exam, the student will have to answer correctly and fully at least 4 of the 5 questions.

Teaching tools

PowerPoint presentations and audiovisual.

Office hours

See the website of Andrea Zucchelli