Calculate Young's modulus and Poisson's ratio

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To calculate Young's modulus and Poisson's ratio for a purely elastic material, one must utilize the previously determined circumferential and longitudinal constraints along with the Cauchy stress tensor in its principal base. The strain gauge positioned at 45° on the cylindrical material provides necessary strain measurements, which can be transformed into the strain tensor for both the original and principal bases. The relationship between stress and strain, defined by Hooke's law, allows for the calculation of these parameters. If the material properties are not known, experimental measurement is necessary. Ultimately, the exercise requires applying theoretical concepts to derive the required material parameters.
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Hi,

I was looking some exercices on internet about the poisson's ratio. I have just one question.

How can i calculate the young's modulus and poisson's ratio when i know that a material is purely elastical.

I calculate circonferential et longitudinal contraints and i have write the cauchy stress tensor in his principal base.

Moreover, strain gauge (45°) are put on the material which is a cylinder. And i have calculate the strain tensor in an other base and in the principal base but i don't know how to calculte this two parameters.

Thanks,
 
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These are material parameters. If you know the material, you look them up.
If not. you can set up an experiment to measure them. Which situation do you have in mind?
 
yes i know that i can have it in table already write. But in the exercise. They are these question : " calculate the young's modulus and poisson's ratio: we know that the material is purely elastical".

I think i have to use the answers of the previous questions which were : " calculate the circonferential and longitudinal contraints" and " write the cauchy stress tensor in his principal base" Moreover, we knew that a strain gauge (45°) was put on the cylinder which is stutied. And an other question was " calculate and write the strain tensor in the base a base (0,r,l,c) and in his principale base".
 
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