Solid Mechanics

General Data
Academic program	ECAM ENGINEERING PROGRAM			:
Type d'EC	Classes
Lectures : 12h00 Tutorials : 12h00 Lab Work : 8h00 Total duration : 57h00	Status :	Period : Semester 4	Education language : English

Learning Outcomes
The students should be able: 1 - understand the fundamentals of stress/strain analysis. 2 - recognize the most commonly used material properties 3 - recall their value of material properties in typical materials used in mechanical engineering structures 4 - Critically evaluate and judge the validity of a method of analysis in a solid mechanics problem in terms of its assumptions and simplifications 5- understand the concept of safe design and how to apply stress analysis to prevent design failure 6- get familiar with a numerical simulation software for structural analysis (Ansys structural)

Learning Outcomes

The students should be able:
1 - understand the fundamentals of stress/strain analysis.
2 - recognize the most commonly used material properties
3 - recall their value of material properties in typical materials used in mechanical engineering structures
4 - Critically evaluate and judge the validity of a method of analysis in a solid mechanics problem in terms of its assumptions and simplifications

5- understand the concept of safe design and how to apply stress analysis to prevent design failure

6- get familiar with a numerical simulation software for structural analysis (Ansys structural)

Content
- Introductory concepts: Normal and shear stress, strain and deformation - Stress state: stress tensor, stress transformation, Mohr's circle - Strain state: strain tensor, relation between strain component and deformation, Mohr's cirlce - Behavior of materials: constitutive equations, tensile test, linear elastic material properties: Young's modulus, shear modulus, Poisson's ratio - Application: analysis of stresses in thin-walled pressure vessels - Plane elasticity: plane stress and plane strain configurations, 3D Mohr's circle - Yield criteria: yielding and plastic deformation in general configurations, Tresca and Von Mises criteria

Content

- Introductory concepts: Normal and shear stress, strain and deformation

- Stress state: stress tensor, stress transformation, Mohr's circle

- Strain state: strain tensor, relation between strain component and deformation, Mohr's cirlce

- Behavior of materials: constitutive equations, tensile test, linear elastic material properties: Young's modulus, shear modulus, Poisson's ratio

- Application: analysis of stresses in thin-walled pressure vessels

- Plane elasticity: plane stress and plane strain configurations, 3D Mohr's circle

- Yield criteria: yielding and plastic deformation in general configurations, Tresca and Von Mises criteria

Pre-requisites / co-requisites
General Mechanics 2

Bibliography
Raymond Parnes, "Solid Mechanics in Engineering",

Assessment(s)
N°	Nature	Coefficient	Observable objectives
1	Mid-term 1 at the mid-course about the topics covered in the first half of the course: Stress and Strain tesnors, Material properties	0,15	Written exam
2	Final exam about all the concepts covered in the course. The exam consists of short questions as well as thorough analysis problems.	0,5	Written exam
3	Ability to analyze using finite element method the strains and stresses in simple structures. Ability to use Creo and Ansys Workbench	0,1	Practical work
4	Quizzes	0,1	Continuous Assessment
5	Midterm 2	0,15	Written exam