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Other Courses in the Curriculum

PIANO GENERALE

Course year: 1

ARCHITECTURAL DRAWING 1 AND WORKSHOPS
Attendance grouping
12 credits - Raggruppamento di frequenza
ALGEBRA AND ELEMENTS OF GEOMETRY

6 credits - Basic
MATHEMATICAL ANALYSIS 1

6 credits - Basic
GENERAL PHYSICS

6 credits - Basic
HISTORY OF ANCIENT AND MODERN ARCHITECTURE AND LABORATORY OF HISTORY OF ARCHITECTURE
Attendance grouping
12 credits - Raggruppamento di frequenza
TEST OF ENGLISH

3 credits - Language/Final Examination
TEST OF FRENCH

3 credits - Language/Final Examination
TEST OF GERMAN

3 credits - Language/Final Examination
TEST OF SPANISH

3 credits - Language/Final Examination

Course year: 2

ARCHITECTURAL COMPOSITION 1 AND ARCHITECTURAL WORKSHOP
Attendance grouping
12 credits - Raggruppamento di frequenza
ARCHITECTURAL DRAWING 2 AND WORKSHOPS
Attendance grouping
12 credits - Raggruppamento di frequenza
BUILDING MATERIALS SCIENCE AND TECHNOLOGY

6 credits - Related/Supplementary
MATHEMATICAL ANALYSIS 2

6 credits - Basic
INTRODUCTION TO THERMODYNAMICS AND HEAT TRANSFER

9 credits - Basic
RATIONAL MECHANICS

6 credits - Related/Supplementary

Course year: 3

BUILDING TECHNOLOGY (INCL. WORSHOP)
Attendance grouping
12 credits - Raggruppamento di frequenza
HISTORY OF CONTEMPORARY ARCHITECTURE

9 credits - Basic
SOLID AND STRUCTURAL MECHANICS

9 credits - Characterising
ARCHITECTURAL COMPOSITION 2 AND ARCHITECTURAL WORKSHOP
Attendance grouping
12 credits - Raggruppamento di frequenza
HYDRAULICS AND URBAN HYDRAULIC INFRASTRUCTURES 1

9 credits - Related/Supplementary
SOCIOLOGY OF CITIES AND URBAN RENEWAL POLICIES

6 credits - Characterising

Course year: 4

ARCHITECTURAL COMPOSITION 3 AND ARCHITECTURAL WORKSHOP
Attendance grouping
12 credits - Raggruppamento di frequenza
STRUCTURAL DESIGN AND LABORATORY
Attendance grouping
12 credits - Raggruppamento di frequenza
GEOTECHNICAL ENGINEERING

9 credits - Characterising
URBAN PLANNING AND LABORATORY
Attendance grouping
12 credits - Raggruppamento di frequenza
BUILDING TECHNOLOGY 2 (INCL. WORSHOP)
Attendance grouping
9 credits - Raggruppamento di frequenza
CONSTRUCTION MANAGEMENT

9 credits - Related/Supplementary
REAL ESTATE APPRAISAL AND ECONOMIC EVALUATION OF PROJECTS

9 credits - Characterising

Course year: 5

LABORATORY FOR FINAL THESIS

15 credits - Language/Final Examination
ARCHITECTURAL RESTORATION AND LABORATORY
Attendance grouping
12 credits - Raggruppamento di frequenza
STRUCTURAL REHABILITATION AND LABORATORY
Attendance grouping
12 credits - Raggruppamento di frequenza
TOWN PLANNING AND URBAN DESIGN
Attendance grouping
12 credits - Raggruppamento di frequenza
ARCHITECTURE, STRUCTURES, PIPING-PLANT DESIGN AND RESTORATION CULTURAL HERITAGE INTETRATED WORKSHOP

3 credits
CITY, INFRASTRUCTURES AND TERRITORY INTEGRATED WORKSHOP

3 credits
BUILDING INFORMATION MODELLING WORKSHOP

3 credits - Student's own choice
HISTORY OF ARCHITECTURAL TECHNIQUES

9 credits - Student's own choice
STRUCTURAL DESIGN

9 credits - Student's own choice
DESIGN OF SEISMIC RESISTANT STRUCTURES

9 credits - Student's own choice
HYDRAULICS AND URBAN HYDRAULIC INFRASTRUCTURES 2

9 credits - Student's own choice
STAGE

3 credits - Student's own choice
SUMMER SCHOOL

3 credits - Student's own choice

RATIONAL MECHANICS

Note

Information unavailable, as the teaching activity currently displayed will be provided in a subsequent academic year.

Single discipline educational activity

Course Sheet

Course code:

703657

Academic Year of enrolment:

2018/2019

Academic Year of provision:

2019/2020

Type of Course:

Related/Supplementary

Degree:

5-year Single Cycle Master's Degree Programme in ARCHITECTURAL ENGINEERING

Disciplinary Sector:

MATHEMATICAL PHYSICS

Language:

Italian

Grouping type:

Credits:

Programme Year:

Professor and Collaborators:

ZULLO Federico Professor

Cycle:

Second semester

Hours of classroom activity:

Hours of individual study:

It is required to have passed the following exams: Calculus I, Algebra and Geometry

It is recommended to have passed the exam of Calculus II and Physics

Educational Goals

This course is a calculus-based introduction to newtonian and lagrangian mechanics of material systems (for instance, many hinged rigid bodies and mass particles, with external and internal constraints). Taking advantge of the mathematical methods of the Rational Mechanics, it aims to introduce students to the analysis of complex mechanical systems which are modelled as non linear dynamical systems with a finite number of degrees of freedom.

Content

This course consists of two parts: theoretical lectures and applied ones (including examples and exercises).
Contents:
Kinematics.
Principles and fundamental laws.
Geometry of masses.
Statics and Dynamics of constrained material bodies.
Analytical mechanics.

Extended Syllabus

1. Kinematics

Motion, velocity and acceleration of a point particle: central and plane motions. Holonomic constraints and systems of particles. Kinematics of rigid bodies, Mozzi's theorem. Relative motions. Plane rigid motions.

2. Principles and fundamental laws

Mass, force, and Newton's laws. Inertial frames. Typical force fields, work. The Principle of virtual work for reactions of constraints. The principle of mechanical energy conservation. Conservative force fields and potentials.

3. Geometry of masses

Properties of applied vectors. Properties of the center-of-mass. The balance principles of linear and angular momentum. The kinetic energy balance. Koenig's theorems for kinetic energy and angular momentum. Kinetic energy and angular momentum of a rigid body. Properties of the inertia tensor. Huygens-Steiner's theorem.

4. Statics and Dynamics of constrained material bodies

Statics of constrained rigid bodies. Dynamics of constrained material bodies. Equations of motion of a rigid body spinning around a fixed axis.

5. Canonical mechanics and qualitative dynamics

D'Alembert's principle. Statics and dynamics of holonomic systems. Lagrange equations. Elements of stability of equilibrium.

Recommended Bibliography

M. FABRIZIO, Elementi di Meccanica Classica, Zanichelli, Bologna, 2002, 8808088855.

A. Muracchini, T. Ruggeri, L. Seccia: Esercizi e Temi d'Esame di Meccanica Razionale, Esculapio, 2013, 9788874886203

Methods of Provision

Conventional

Teaching Methods

Using blackboard with chalk and overhead projector.

Assessment Methods

The exam includes a written test and an oral exam.
If the result of the written test is equal or greater than 18, it is possible to sustain the oral exam. If the result of the written test is greater than 16 but less than 18, it is possible to sustain the oral exam if a further written exercise will be properly carried out.
The oral exam should be held in the exam session in which it has been passed the written test. It will be possible to replace the oral exam with 4 interim assessments given during the course. The oral exam is considered to be passes if both these conditions are verified:

• The sum of the results of all the assessments is greater or equal to 18 and in each assessment the result is greater or equal to 3.
• The written test is passed within the three sessions after the assessments.

The exam is condidered to be passed if the final mark, taking into account both the written and the oral part, is greater or equal to 18.

Assessment:

Final Mark

Programme of Educational Activities

Start date of teaching period:

Monday, February 17, 2020

End date of teaching period:

Friday, June 5, 2020

Other Information

federico-zullo.unibs.it