Strength of Materials

General Data
Academic program	General Engineering Program			:
Type d'EC	Classes
Lectures : 22h00 Lab Work : 8h00 Total duration : 40h00	Status :	Period : SEMESTER 5	Education language : French

Learning Outcomes
- know and know how to apply in the case of isostatic structures, the simplified method of computation of the stresses at the base of the Resistance of the Materials - know and know how to apply in the case of beams, the principle of measurement of stresses by strain gauges - understand the basic vocabulary used in computational standards when they are based on the Resistance of Materials this in order to be able to pre-dimension isostatic structures of beams

Learning Outcomes

- know and know how to apply in the case of isostatic structures, the simplified method of computation of the stresses at the base of the Resistance of the Materials
- know and know how to apply in the case of beams, the principle of measurement of stresses by strain gauges
- understand the basic vocabulary used in computational standards when they are based on the Resistance of Materials
this in order to be able to pre-dimension isostatic structures of beams

Content
The presentation of the methods of calculation used in Resistance of the Materials is made in the form of lectures and exercises, concerning the following points: - writing of equilibrium equations and calculation of bond reactions in the case of isostatic structures, - plots of the load diagrams along the average fiber of a beam, - Application of stress calculation formulas in the case of stressed beams in tension / compression, bending, shearing and torsion. This presentation is supplemented by a course on strain gauge strain measurement, which is applied during a lab session. There are two practical works : - Gauge measurements: normal and tangential stress measurements, special gauge assemblies, - dimensioning: use of the resistance of materials to pre-dimension a structure, verification of design using finite element calculation software, highlighting the importance of design choices and modeling choices of boundary conditions.

Content

The presentation of the methods of calculation used in Resistance of the Materials is made in the form of lectures and exercises, concerning the following points:
- writing of equilibrium equations and calculation of bond reactions in the case of isostatic structures,
- plots of the load diagrams along the average fiber of a beam,
- Application of stress calculation formulas in the case of stressed beams in tension / compression, bending, shearing and torsion.

This presentation is supplemented by a course on strain gauge strain measurement, which is applied during a lab session.

There are two practical works :
- Gauge measurements: normal and tangential stress measurements, special gauge assemblies,
- dimensioning: use of the resistance of materials to pre-dimension a structure, verification of design using finite element calculation software, highlighting the importance of design choices and modeling choices of boundary conditions.

Pre-requisites / co-requisites
Knowledge of static balance conditions in bonded solids. 2 years of undergraduate level courses on the subject.

Bibliography
VIALA Serge - Class handouts. Young, Warren C. - ROARK'S Formulas for stress and strains, McGraw-Hill Book Company (formulaire)

Assessment(s)
N°	Nature	Coefficient	Observable objectives
1	To verify the ability of students to calculate the loading solicitations in the case of isostatic structures of beams. Maximum duration: 2 hours Form: Exercises with answers in one box and MCQ.	1	Ability to solve a static equilibrium problem and to calculate the forces and moments in the cross sections of a beam.
2	Check students' ability to interpret discrepancies between measurement results and calculation results. Use of strain gauges, comparators, calculation of material resistance and calculation by finite elements.	1	Ability to apply the theoretical concepts learned in class.
3	To verify the ability of students to apply the methods of the Resistance of Materials to the computation of the stresses in the case of isostatic structures of beams. Maximum duration: 2 hours Form: Exercises with answers in one box and MCQ.	1	Ability to calculate stresses on cross sections of a beam.