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| MECA0001-1 | Mécanique des solides / Solid Mechanics
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| Durée : | 30h Th, 30h Pr |
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| Crédits/ECTS : |
| Bachelier en sciences de l'ingénieur, orientation ingénieur civil architecte, 2e année | | Premier quadrimestre | | 5 |
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| Bachelier en sciences de l'ingénieur, orientation ingénieur civil, 2e année | | Premier quadrimestre | | 5 |
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| Master en ingénieur civil en aérospatiale, à finalité approfondie, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur civil en chimie et sciences des matériaux, à finalité approfondie, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur civil des mines et géologues, à finalité approfondie, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur civil physicien, à finalité approfondie, 1re année | | Toute l'année | | 5 |
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| Master en ingénieur civil en aérospatiale, à finalité spécialisée en gestion, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur civil en chimie et sciences des matériaux, à finalité spécialisée en gestion, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur civil des mines et géologues, à finalité spécialisée en gestion, 1re année | | Premier quadrimestre | | 5 |
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| Master en ingénieur civil physicien, à finalité spécialisée en gestion, 1re année | | Toute l'année | | 5 |
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| Titulaire(s) : | Serge Cescotto |
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| Langue : | Langue anglaise |
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| Aperçu général : | The course is in 3 parts :
- Notions of tensor calculus (8h)
Tensors calculus is an additional mathematical tool with respect to vector calculus. It is a basic tool in Solid Mechanics.
- Basic knowledge in Solid Mechanics (36h)
Global and local balance equations, notions of stress and strain, constitutive equations of a material and Hooke's law, strain energy and links to thermodynamics, virtual works, ...
(links with algebra and mathematical analysis courses are made at this stage: differential and integral calculus, partial differential equations, calculus of variations, demonstration of unicity of a solution, eigenvalues and eigenvectors of a matrix,...; with thermodynamics: use of 1st and 2nd principles and Gibbs theorem; with physics: notions of force, pressure, velocity, resulting forces, moments, couples, work, power,...)
- Applications to practical cases (16h)
Tanks and pipes under pressure, contact between solids, torsion of prismatic rods, tension and bending of beams, corner-shaped pieces, stress concentration,...
Subject :
SM1 : Me 16/09 Elements of tensor calculus (2h TH + 2h EX)
SM2 : Me 23/09 Elements of tensor calculus (2h TH + 2h EX)
SM3 : Me 30/09 Statics: equilibrium of solids (2h TH + 2h EX)
SM4 : Je 01/10 Statics: stress tensor, infinitesimal equilibrium equations,... (2h TH + 2h EX)
SM5 : Me 07/10 Statics: Mohr's circle (2h TH + 2h EX)
SM6 : Me 14/10 Kinetics: displacements and strains, large strain tensors (2h TH + 2h EX)
SM7 : Me 21/10 Kinetics: Cauchy strain tensor, Saint-Venant's compatibility equations (2h TH + 2h EX)
SM8 : Me 28/10 Virtual work principle (2h TH + 2h EX)
SM9 : Je 29/10 Hooke's law (2h TH + 2h EX)
SM10 : Me 04/11 Hooke's law (2h TH + 2h EX)
SM11 : Me 18/11 Fundamental equations of linear elasticity (2h TH + 2h EX)
SM12 : Me 25/11 3D elastic problems: Kelvin, Boussinesq, Hertz (2h TH + 2h EX)
SM13 : Me 02/12 Saint-Venant's theory of torsion (2h TH + 2h EX)
SM14 : Je 03/12 2D elastic problems, Airy stress functions, applications in Cartesian coordinates (2h TH + 2h EX)
SM15 : Me 09/12 2D elastic problems, Airy stress functions, applications in polar coordinates (2h TH + 2h EX)
SM16 : Me 16/12 Answer to questions
TOTAL (hours) : 30h TH + 30h EX |
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| Objectif du cours : | This course establishes a link between general courses of mathematics, physics, thermodynamics... and a particular field of the engineering: the mechanics of solid. It strides towards a double objective:
- To teach the students how to make use of notions studied in these general courses in broaching a new subject, implying to "mix" these notions and to develop the aptitude of synthesis and application
- To give to the students the basics in Solid Mechanics and to teach them how to apply these ones to some practical cases of linear elasticity.
For engineering students who shall specialize in civil engineering, geology, mechanics, aeronautics, applied physics, this course will be of basic use for series of more specialized courses, such as mechanics of materials, theory of structures, knowledge of materials, ...
For the others, this course is an education to scientific approach for engineers, while providing basic terminology that will be useful for discussions with specialists. |
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| Pré-requis : | Course of « Physique Générale », of « Analyse Mathématique» and of « Algèbre » |
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| Travaux pratiques : | Les mercredis 10:30-12:30 sauf Mercredi 23/09
Mercredi 23/09 11:00-13:00 salle 050 bâtiment N1 (plus de précisions dans la rubrique "Remarques" ci-dessous)
S22 (B5b) Groupe N° 1
S24 (B5b) Groupe N° 2
S26 (B5b) Groupe N° 3
S28 (B5b) Groupe N° 4
A.2 (B7a) Groupe N° 5
jeudi 01/10 13:30-15:30 A.1 (B7a) N°1
jeudi 01/10 13:30-15:30 A.2 (B7a) N°2
jeudi 01/10 13:30-15:30 A.3 (B7b) N°3
jeudi 01/10 13:30-15:30 A.4 (B7b) N°4
jeudi 01/10 13:30-15:30 S30 (B5b) N°5
jeudi 29/10 13:30-15:30 A.1 (B7a) N°1
jeudi 29/10 13:30-15:30 A.2 (B7a) N°2
jeudi 29/10 13:30-15:30 A.3 (B7b) N°3
jeudi 29/10 13:30-15:30 A.4 (B7b) N°4
jeudi 29/10 13:30-15:30 C26 (B6d) N°5
jeudi 03/12 13:30-15:30 A.1 (B7a) N°1
jeudi 03/12 13:30-15:30 A.2 (B7a) N°2
jeudi 03/12 13:30-15:30 A.3 (B7b) N°3
jeudi 03/12 13:30-15:30 A.4 (B7b) N°4
jeudi 03/12 13:30-15:30 S30 (B5b) N°5 |
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| Organisation : | The course is based on units of 4 hours: 2 h of theory followed by 2 h of exercises.
- The courses of theory are ex-cathedra courses. They are taught in English. Time for questions is allowed especially after each lesson or during pauses
- The active participation of students is required during exercises sessions.These exercises sessions, in French, are devoted to the solution of problems (2 h/week immediately after the lessons of theory).
All sessions take place at Sart Tilman campus. |
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| Notes de cours : | Classbooks in French (theory and exercises) are available by AEES |
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| Evaluation : | Home works
Intermediate test (in French): solution of problems
Written exam (in French): open questions of theory (1 hour) and solution of problems (3 hours)
Authorized tools during test and exam:
- theory : none
- problems : any book |
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| Contacts : | Teacher : Prof. S. CESCOTTO, phone: 366 92 46; Serge.Cescotto@ulg.ac.be
Secretary : Mrs Michiels, phone: 04/366 9351
Practical organization details
M. Harona DIARRA, phone: 04/366 9523; Harona.Diarra@ulg.ac.be
Assistants: changing every year according to the number of students |
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| Remarques : | 3 cours prévus les jeudis !!! salle 204 Europe
Pour les cours du Mercredi : salle 204 Europe
Attention, le mercredi 23/09, cours théorique de 08:00 à 10:00 salle 050 bâtiment N1 (Bâtiment HEC-Ecole de Gestion situé au N° 14 rue Louvrex côté rue Saint-Gilles)
Plan d'accès : http://www2.ulg.ac.be/acces/plans/hec.html
Les TP commencent à 11:00 aux mêmes endroits. |
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