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| MECA0001-1 | Solid mechanics
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| Duration : | 30h Th, 30h Pr |
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| Credits/ECTS : |
| Bachelor in engineering sciences, civil ingineer in architecture orientation, 2nd year | | First semester | | 5 |
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| Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 2nd year | | First semester | | 5 |
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| Master in Aerospatial Engineering, in-depth approach, 1st year | | First semester | | 5 |
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| Master in Chemical Engineering and Materrial Sciences, in-depth approach, 1st year | | First semester | | 5 |
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| Master in Geological and Mining Enginneering, in-deph approach, 1st year | | First semester | | 5 |
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| Master in Geological and Mining Enginneering, in-deph approach, 1st year | | Toute l'année | | 5 |
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| Master in Engineering Physics, in-depth approach, 1st year | | Toute l'année | | 5 |
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| Master in Aerospace Engineering, Professional Focus (Management), 1st year | | First semester | | 5 |
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| Master in Chemical and Material Sciences, specialized approach, 1st year | | First semester | | 5 |
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| Master in Geological and Mining Engineering, specialized approach, 1st year | | Toute l'année | | 5 |
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| Master in Geological and Mining Engineering, specialized approach, 1st year | | First semester | | 5 |
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| Master in Engineering Physics, specialized approach, 1st year | | Toute l'année | | 5 |
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| Holder(s) : | Serge Cescotto |
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| Substitute(s) : | Anne Habraken |
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| Language : | French language |
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| Course contents : | Overview and structure of the course
- 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 15/09 Elements of tensor calculus (2h TH + 2h EX)
SM2 : Me 22/09 Elements of tensor calculus (2h TH + 2h EX)
SM3 : Me 29/09 Statics: equilibrium of solids (2h TH + 2h EX)
SM4 : Me 06/10 Statics: stress tensor, infinitesimal equilibrium equations,... (2h TH + 2h EX)
SM5 : Me 13/10 Statics: Mohr's circle (2h TH + 2h EX)
SM6 : Me 20/10 Kinetics: displacements and strains, large strain tensors (2h TH + 2h EX)
SM7 : Me 27/10 Kinetics: Cauchy strain tensor, Saint-Venant's compatibility equations (2h TH + 2h EX)
SM8 : Me 03/11 Virtual work principle (2h TH + 2h EX)
SM9 : Me 10/11 Hooke's law (2h TH + 2h EX)
SM10 : Me 17/11 Hooke's law (2h TH + 2h EX)
SM11 : Me 24/11 Fundamental equations of linear elasticity (2h TH + 2h EX)
SM12 : Me 01/12 3D elastic problems: Kelvin, Boussinesq, Hertz (2h TH + 2h EX)
SM13 : Me 08/12 Saint-Venant's theory of torsion (2h TH + 2h EX)
SM14 : Me 15/12 2D elastic problems, Airy stress functions, applications in Cartesian coordinates (2h TH + 2h EX)
SM15 : Me 22/12 2D elastic problems, Airy stress functions, applications in polar coordinates (2h TH + 2h EX)
TOTAL (hours) : 30h TH + 30h EX |
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| Course objective : | 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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| Prerequisites : | Course of « Physique Générale », of « Analyse Mathématique» and of « Algèbre » |
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| Workshops : | Wednesdays from 10:30 to12:30
Calss room :
S22 (B5b) Groupe N° 1
S24 (B5b) Groupe N° 2
S26 (B5b) Groupe N° 3
S28 (B5b) Groupe N° 4
A.1 (B7a) Groupe N° 5
A.2 (B7a) Groupe N°6 |
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| Organization : | 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 french. 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).
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| Written notes : | Classbooks in French (theory and exercises) are available by AEES. |
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| Assessment : | 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 : notes from the coure of theory and exercices, reference books related to the topic
-intermediate test : notes from the coure of theory and exercices, reference books related to the topic |
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| Contacts : | Teacher : A.M. HABRAKEN, phone: 366 94 30; anne.habraken@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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| Remarks : | Wednesday 22/09/2010, the theoritical course will take place from 08:00 to 10:00 class room C. Laurent builging B31
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