Young's Modulus: Formula for Calculation

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Young's Modulus can be calculated using Hooke's Law, which relates stress and strain in materials. When materials are arranged end-to-end, their displacements combine, while side-by-side arrangements result in additive forces. For the same material, Young's Modulus remains constant as it is a normalized value. To express Young's Modulus in terms of displacement and force, it is essential to first define it in terms of stress (force per unit area) and strain (deformation relative to original length). Understanding these relationships clarifies how to calculate effective Young's Modulus in different configurations.
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is there a formula to calculate the young modulous of a system like for resistances in series and parallel ?
 
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Yes, by using Hooke's Law. When samples are placed end-to-end, their displacements add; side-by-side, the forces add.
 
Mapes said:
Yes, by using Hooke's Law. When samples are placed end-to-end, their displacements add; side-by-side, the forces add.

thanks mapes ! but how will this give effective young's modulous ?
i am a bit confused , please help !
 
if its the same material then Young's Modulus won't change since it is normalized.
 
phymatter said:
thanks mapes ! but how will this give effective young's modulous ?
i am a bit confused , please help !

How do you express Young's modulus in terms of displacement and force? (Hint: express it in terms of stress and strain first.)
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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