FONDAMENTI DI MECCANICA E STATICA
Academic Year 2023/2024 - 2° Year- STATICA: Francesco CANNIZZARO
- FISICA: Silvio CHERUBINI
Scientific field
- ICAR/08 - Structural mechanics
- FIS/01 - Experimental physics
Taught classes: 96 hours
Class Hour Schedule
- STATICA
from 10/02/23
Struttura Didattica Speciale di Architettura
MON 09:30-12:30 Aula F
TUE 09:00-1200 Aula F - FISICA
from 10/04/23
Struttura Didattica Speciale di Architettura
WED 15:00-18:00 Aula F
STATICA
Expected Learning Outcomes
The module of Statics aims at delivering students the basic knowledge of the mechanics of structures, in view of the future courses of Mechanics of Structures and Design of Structures.
In particular, as shown below in the contents of the course, after dealing with the basic topics regarding the equilibrium, the statics and kinematics of rigid bodies, several plane structural typologies subjected to forces were analyzed (beams, frames, articulated systems, arches).
Such structures will be classified, characterized on the basis of a kinematic analysis, and the reactions and the force on the structure will be obtained.
Finally, a part of the course will be devoted to topics which will be applied in future courses with reference to the stress and strain analyses. In particular, the geometric properties of plane figures will be inferred.
Course Structure
Required Prerequisites
The required prerequisites are the knowledge of mathematical concepts already delivered during the first year of the course, and within the module of physics of the same course. Other concepts, already faced in the module physics are restated within a different light, e.g. vectors. Some courses of the first year are preparatory for the course.
Attendance of Lessons
Detailed Course Content
Polygon of forces, decomposition of a force along two assigned directions, definition of moment, resultant force and moment of a system of forces, equivalent system of forces, central axis, funicular polygon.
2.Cardinal equations of the statics (A. Greco, Scienza delle Costruzioni, Aracne Editrice, 2012)
Definition of rigid body; the principles of dynamics; equilibrium with respect to translation and rotation, graphic method, analytical and graphic applications.
3.Statics and kinematics of restrained rigid bodies (A. Greco, Scienza delle Costruzioni, Aracne Editrice, 2012)
Definition of restraint; static and kinematic characterization of external restraints; kinematics of rigid bodies; absolute centre of rotation; statically determined, statically indetermined and ill-conditioned systems; graphic and analytical evaluation of reactions for statically determined rigid bodies, uniaxial problems, bi-dimensional problems, forces, indefinite equilibrium equations, static and kinematic characterization of internal restraints, articulated systems, internal reactions, equilibrium of articulated systems, graphic method, symmetric systems, kinematic analysis of articulated systems, virtual displacement, relative centre of rotation, kinematic chains, Chasles and Kennedy's theorems, static-kinematic duality, virtual work principle for rigid bodies, computation of reaction and forces with the virtual work principle, applications.
4.Statically determined structural typologies (A. Greco, Scienza delle Costruzioni, Aracne Editrice, 2012)
Truss systems; node equilibrium method, Ritter's section method, il metodo dell’equilibrio ai nodi; il metodo della sezione di Ritter; Gerber beams, arches, physical reality and structural modelling.
5.Geometry of areas (see the website of the course)
Center of gravity of discrete and continuous systems, graphic and analytical assessment, static moment, moment of inertia, Huygens's theorem, principal axes of inertia, central ellipse of inertia, pole and anipole with respect to the central ellipse of inertial, central core or inertia, application to common sections.
Textbook Information
1) J.L. Meriam, L.G. Kraige Statics (7th edition), Wiley
2) A. Greco, Scienza delle Costruzioni, Aracne Editrice, 2012
3) E. Viola. Esercitazioni di scienza delle costruzioni – vol.1: strutture isostatiche e geometria delle masse. Pitagora, 1977.
Course Planning
Subjects | Text References | |
---|---|---|
1 | Vectors and static graphics | Provided notes |
2 | Cardinal equations of statics | Provided notes |
3 | Statics and kinematics of restrained rigid bodies | Provided notes |
4 | Statically determined structural typologies | Provided notes |
5 | Geometry of areas | Provided notes |
Learning Assessment
Learning Assessment Procedures
Examples of frequently asked questions and / or exercises
FISICA
Expected Learning Outcomes
The Physics module aims to provide students of the School of Architecture with basic knowledge of Physics, in view both of the Statics module of this same course and to provide the basis for understanding modern technologies increasingly used in every aspect of life daily and professional experience.
In particular, as can be seen from the program below, after having addressed the essential preparatory topics relating to vector calculus and the kinematics of the material point, we will be able to present the fundamental concepts regarding the momentum, forces and angular momentum for then present the basic conservation principles of Physics.
Course Structure
Teaching usually takes place in person. Should extraordinary events arise, online teaching may be used, as occurred following the Covid pandemic.
Required Prerequisites
The prerequisites required to students are the basic notions of mathematical analysis, already acquired during the first year of studies.
Attendance of Lessons
Attendance is strongly recommended.
Detailed Course Content
The main topics of the course are the following.
1) Physical quantities, their measurement and related errors.
2) Vector calculus.
3) Kinematics of the mass point.
4) Concept of momentum.
5) The forces.
6) Angular momentum.
7) Conservation principles.
8) Modeling (extremely simplified) of some physical phenomena of applicative interest.
Textbook Information
Any university-level physics text.
The teacher will provide students with copies of their notes dictated during classes. The teacher will also provide notes with typical exercises which will also be presented in the classroom.
Course Planning
Subjects | Text References | |
---|---|---|
1 | Physical quantities, their measurement, errors | Lecture notes |
2 | Vector calculus | Lecture notes |
3 | Kinematics of a point mass | Lecture notes |
4 | Forces, momentum, angular momentum | Lecture notes |
5 | conservation principles | Lecture notes |
6 | Applications | Lecture notes |