Due to the COVID19 crisis, the information below is subject to change,
in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Doghri Issam;
Language
French
Main themes
The objective of this course is to show how the theory of isotropic linear elasticity enables to solve a large class of problems stemming from the design of structures and equipments. Although the majority of industrial problems are solved nowadays with numerical software, it is essential that the student first learns how to solve analytically a number of simple problems and understands their physics. This is why the course will develop solutions related to bending, torsion, thermal stresses, buckling, etc. The theory of beams, commonly known as strength of materials, is a simplified theory which represents a very important particular case. Some methods for computing statically determinate or indeterminate beam structures are presented and several examples are studied.
Aims
At the end of this learning unit, the student is able to :  
1 
In consideration of the reference table AA of the program "Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning:

Content
Chap. 1 Mechanics of deformable solids and isotropic linear elasticity.
Chap. 2 Variational formulations, work and energy theorems.
Chap. 3 Theory of beams (strength of materials).
Chap. 4 Stability and buckling of beams
Chap. 5 Vibrations of discrete systems with one degree of freedom
Chap. 6 Vibration of discrete systems with multiple degrees of freedom. Chap. 7 Vibration of continuous elastic beams
Chap. 2 Variational formulations, work and energy theorems.
Chap. 3 Theory of beams (strength of materials).
Chap. 4 Stability and buckling of beams
Chap. 5 Vibrations of discrete systems with one degree of freedom
Chap. 6 Vibration of discrete systems with multiple degrees of freedom. Chap. 7 Vibration of continuous elastic beams
Teaching methods
Due to the COVID19 crisis, the information in this section is particularly likely to change.
Sessions of hands   on problem solving take place in parallel with the course
Evaluation methods
Due to the COVID19 crisis, the information in this section is particularly likely to change.
Written examination
Online resources
Bibliography
 Les notes de cours (syllabus et transparents) écrites par les enseignants sont disponibles sur moodle
 Doghri, Mechanics of deformable solids
 Meirovith, Analytical methods in Vibrations
 Tse, Morse, Hinkle, Mechanics Vibrations.
 Lalanne, Berthier, Der Hagopian, Mechanical Vibrations for Engineers.
 Craig R.R., Structural Dynamics.
 Dimaragonas, Vibration for Engineers.
 Geradin, Rixen, Théorie des Vibrations. Matière : Dynamique appliquée : 50.14.
Faculty or entity
MECA
Force majeure
Evaluation methods
For the session of Januray 2021, the written examination will take place remotely. The details will be given to the students during the week of December 14th, 2020.