General Engineering Program
| General Data | ||||
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| Academic program | General Engineering Program | :
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| Type d'EC | Classes (LIIAem05EMecSol) | |||
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Status :
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Period :
SEMESTER 5 |
Education language :
French |
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| Learning Outcomes |
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| calculate stresses on simple structures (homogeneous distribution of stresses) build and use a Mohr circle in plane elasticity choose a dimensioning criterion according to the type of material used (brittle or ductile) determine strain from the deformation on simple structures (homogeneous distribution of strain) use a mechanical constitutive law in the context of isotropic elasticity solve a stress problem of thermal origin on simple structures (homogeneous distribution of stresses and strains). use finite element software: apply boundary conditions and differentiate results without in-depth analysis of the influence of mesh size and type of analysis |
| Content |
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| The objective of structural design courses (solid mechanics,strength of materials , and structural design practice) is to give the ability to carry out a study in the field of structural analysis (strength of materials approach or finite element method). These courses enable you to choose a model, and to appreciate the influence of the modeling choices, then to analyze, interpret and justify the results. "Classes are given in the form of lectures and practical exercises done in tutorials. Practical works on an industrial finite element calculation software (ANSYS) make it possible to become familiar with a calculation model and illustrate the concepts seen in class; one session is notably devoted to the modeling of a pressurized cylinder in order to introduce the assumptions used for the calculation of thin vessels. Contents: Stress tensor: definition, normal stress and shear stress, local equilibrium equations, Mohr circles (3D and plane elasticity) principal stresses and maximum shear.. Tensor of infinitesimal strain: expression, physical meaning (normal strain and shear strain), Mohr circles, strain gauges. Constitutive law, isotropic linear elasticity (Hooke's law), thermal strains. Design criteria: yield stress criterion (von Mises, Tresca) , failure criterion (Rankine), ... " |
| Pre-requisites / co-requisites |
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| Intermediate level mathematics differential equations, tensors Mechanics: be able to write the equilibrium of a body |
| Bibliography |
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| J.P. Noyel - documents available on Moodle ECAM. M. Fourar C. Chèze - “Mécanique des milieux déformables” ellipses C. bouvet, - “Mécanique des solides des matériaux et des structures aéronautiques” iSTe éditions M. Dupeux, - “Introduction à la mécanique des matériaux et des structures” Dunod |
| Assessment(s) | |||
|---|---|---|---|
| N° | Nature | Coefficient | Observable objectives |
| 1 | calculate stresses on simple structures (homogeneous distribution of stresses) build and use a Mohr circle in plane elasticity determine strain from the deformation on simple structures (homogeneous distribution of strain) use a mechanical constitutive law in the context of isotropic elasticity | 1 | Written exam |
| 2 | use finite element software: apply boundary conditions and differentiate results without in-depth analysis of the influence of mesh size and type of analysis | 1 | Practical work |
| 3 | all | 2 | Written exam |