| Course label : | Structures calculations |
|---|---|
| Teaching departement : | MSO / Structures, Mechanisms and Construction |
| Teaching manager : | Madam PAULINE LECOMTE |
| Education language : | French |
| Potential ects : | 0 |
| Results grid : | |
| Code and label (hp) : | IE3_MECA_MSO_CST - Calcul des structures |
Education team
Teachers : Madam PAULINE LECOMTE / Mister AHMED EL BARTALI / Mister CHRISTOPHE NICLAEYS / Mister TIEN TUAN DAO
External contributors (business, research, secondary education): various temporary teachers
Summary
The design of structures is becoming more and more complex. This work requires the use of sizing tools to address three-dimensional problems. The objective of this course is to introduce the mechanics of 3D continuous media as well as the tools and methodologies for dimensioning structures to meet this need.
Educational goals
In the first part, the notions of 3D stresses and deformations will be introduced. Subsequently, we will focus on the law of elastic and linear behaviour which makes it possible to relate stresses to deformations as well as to the notions of structural equilibrium. Finally, we will look at the criteria of plasticity and the elasto-plastic behaviour of materials. The skills to be acquired are as follows: - Master the tensors of stresses and strains, their uses and their physical significance, - Master the law of behaviour in linear elasticity in the case of small perturbations, - Master the concepts of plasticity criteria and yield strength, - Understand the phenomena of elasto-plasticity, perfect plasticity and strain-hardening plasticity In the second part, in order to allow the treatment of complex three-dimensional problems that cannot be treated manually, we will focus on the finite element method as well as the use of an EF calculation code widely used in the industrial world (ABAQUS). The skills to be acquired are as follows: - Understand the Finite Element method, - Understand the notion of convergence of Finite Element problems, - Understand the sensitivity and accuracy of the results with respect to mesh sizes and the definition of boundary conditions.
Sustainable development goals
Knowledge control procedures
Continuous Assessment
Comments:
Online resources
Pedagogy
Stress Tensor Course 2h (Course) Study of a brake pad (2h tutorial work) Study of a cylinder under internal and external pressure (2h tutorial work) Strain Tensor and linear elastic behaviour law (Course) Homogeneous deformation of a structure (2h tutorial work) Defromation : study of strain gauges (2h tutorial work) Study of the heterogeneous deformations of a structure (2h tutorial work) Explorations (2h tutorial work) Course Notion of equilibrium and Continuum mechanics (Course) Analysis of an oedometric test (2h tutorial work) Study of a rotating cylinder (2h tutorial work) Study and dimensioning of parts assembled by shrink-fitting (2h tutorial work) Study of a dam 2h room (2h tutorial work) Study of heterogeneous stresses and strains (2h tutorial work) Explorations (2h tutorial work) Elasto-plastic behaviour course(Course) Series Bar System (2h tutorial work) Parallel bar system (2h tutorial work) Evaluation (2h) Course Introduction of the finite element method (Course) MEF Solving a problem with a 3-element plaque (2h tutorial work) Influence of the mesh size 4h B23 or B30 (Practical work) Influence of boundary conditions and stress concentration 4h B23 or B30 (Practical work) Sizing of a rotating structure 4h B23 or B30 (Practical work)
Sequencing / learning methods
| Number of hours - Lectures : | 10 |
|---|---|
| Number of hours - Tutorial : | 30 |
| Number of hours - Practical work : | 12 |
| Number of hours - Seminar : | 0 |
| Number of hours - Half-group seminar : | 0 |
| Number of student hours in TEA (Autonomous learning) : | 0 |
| Number of student hours in TNE (Non-supervised activities) : | 0 |
| Number of hours in CB (Fixed exams) : | 0 |
| Number of student hours in PER (Personal work) : | 0 |
| Number of hours - Projects : | 0 |
Prerequisites
- Mechanics of solids 1 and 2 - Calculation of structures 1