University of Liege | Version française
Study programmes 2012-2013Last update : 18/06/2013
MECA0001-1  Mechanics of materials

Duration :  30h Th, 30h Pr
Number of credits :  
Bachelor in engineering sciences, civil ingineer in architecture orientation, 2nd year5
Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 2nd year5
Master in Aerospatial Engineering, research focus, 1st year5
Master in Aerospatial Engineering, research focus (Thrust), 1st year5
Master in Chemical Engineering and Materrial Sciences, in-depth approach, 1st year5
Master in Geological and Mining Engineering, in-deph approach, 1st year5
Master in Geological and Mining Engineering, in-deph approach, 1st year5
Master in Engineering Physics, in-depth approach, 1st year5
Master in Aerospace Engineering, Professional Focus (Management), 1st year5
Master in Chemical and Material Sciences, specialized approach, 1st year5
Master in Geological and Mining Engineering, specialized approach, 1st year5
Master in Geological and Mining Engineering, specialized approach, 1st year5
Master in Engineering Physics, specialized approach, 1st year5
Lecturer :  Jean-Pierre Jaspart
Language(s) of instruction :  
French language
Organisation and examination :  
Teaching in the first semester, review in January
Course contents :  
Overview and structure of the course
  • Genaral equilibrium principles (identification of all external efforts acting on the studied body, concept of the cut and identification of the internal forces acting on both sides of the cut)
  • Notions of stresses and of plasticity surfaces (Mohr circle in in-plane stress field)
  • Material properties: link between the stresses and the deformations
  • Beam definition
  • Calculation of internal forces in a structure constituted of beams (MNT diagrams)
  • Security concepts
  • Study of the different internal forces in a beam section - how to pass from forces to stresses (tension, compression, bending, torsion, shear, combined loading)
  • Deflections in structures made of beams
  • Concept of second order analysis and notions of elastic buckling of beams in compression
Learning outcomes of the course :  
This course establishes a link between general courses of mathematics, physics and a particular field of the engineering: the mechanics of materials. 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 Material Mechanics and to teach them how to apply these ones to some practical cases of beams.
For engineering students who shall specialize in civil engineering, architecture, mechanics, applied physics, this course will be of basic use for series of more specialized courses, such as mechanics of solids, theory of structures, knowledge of materials, ... It will enable them to integrate the notions of equilibrium and stress on the actual and unidimensional case of beams before studying applications requiring the use of full tensors in the course of Solid Mechanics.

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.
After the courses, the student should be able, for structures made of beams and for a given loading situation, to achieve the following tasks:
  • Draw the MNT diagrams in the structure
  • Achieve adequate cuts in the structure and evaluate the corresponding internal forces
  • From these internal forces, to calculate the stresses in the cross-section
  • Define whether or not the constitutive material may resist to the stresses
  • Define how this structure deforms
  • Define whether there is a risk of flexural buckling the the columns
Prerequisites and co-requisites/ Recommended optional programme components :  
Course of « Physique Générale », of « Analyse Mathématique» and of « Algèbre »
Planned learning activities and teaching methods :  
  • Lectures are ex-cathedra courses. They are taught in French (2 hours per week). Time for questions is allowed especially after each lesson or during breaks.
  • Session for exercises (2 hours per week); the latter are solved by assistants. The active participation of students is required during exercises sessions. These exercises sessions are given in French.
  • Complementary exercises proposed to the students (in a specific exercise book)
  • A report (compulsory) on a home-made exercise.
  • Three special sessions for questions and answers.
  • A visit to the laboratory session (compulsory - 1 1/2 hour); some of the taught principles will be illustrated.
Mode of delivery (face-to-face ; distance-learning) :  
Face-to-face lecture
Recommended or required readings :  
Classbooks in French (theory and exercises) are available by AEES.
Theory
  • Photocopies of the book " "Mécanique des Matériaux » (S. Cescotto)
  • The two first chapters of the book for the courses of "Mécanique du Solide" (/!\ the engineers-architects and the civil engineers in the Construction and Mechanics options, need the whole book of "Mécanique du Solide" taught in the second semester)
  • The slides presented during the courses are made available on MyULg (in the category "files")
TP
  • Book of exercises
  • The two first chapters of the book for the courses of "Mécanique du Solide" (/!\ the engineers-architects and the civil engineers in the Construction and Mechanics options, need the whole book of "Mécanique du Solide" taught in the second semester)
  • A specific booklet containing the main theoretical aspects required to solve the exercises; it is made available on MyULg (in the category "files")
Assessment methods and criteria :  
  • Report on homework (in French): solution of problems
  • Written exam (in French): open questions on theory (1 hour) and solution of problems (3 hours)
Authorized tools during exams:
  • theory : none
  • problems : all notes
Work placement(s) :  
Organizational remarks :  
Courses and sessions of exercises are organised on the Sart-Tilman campus. Students are informed in case of an exception (all informations are communicated through MyULg. To have access, students should have validated their study program) For the courses : Wednesday, from 08h00 to10h15 with a break break : auditorium A204 (building B4, Europe)
For the sessions of exercises: Wednesday, from 10h30 to 12h30. 4 rooms : S02/B7a and S22, S24, S26/B5b
Contacts :  
Teacher: J.P. JASPART, Full Professor ; phone : 04 366 92 47 ; jean-pierre.jaspart@ulg.ac.be
Secretary: Sabine HOUTEN ; phone : 04 366 93 51 Assistant : Clara HUVELLE ; phone : 04 366 92 97 ; clara.huvelle@ulg.ac.be (office: Building B52, +1/538)


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