State Hook's law on what factors does the modulus of elasticity of a subtance depend?

Asked by souravkheto234 | 17th Jun, 2021, 12:13: PM

Expert Answer:

Hooks law states that for small deformations the stress and strain are proportional to each other.
 
Thus, stress begin mathsize 14px style proportional to end style strain
 
stress = Y × strain .......................... (1)
 
where Y is the proportionality constant and is known as modulus of elasticity. 

Stress is  restoring force per unit area . If F is the force applied and A is the area of cross section of the body,
 
Magnitude of the stress = F/A  ...................(2)

Longitudinal strain is  change in the length ΔL to the original length L of the body .
 
Longitudinal strain = ΔL / L  ............................(3)
 
Using above equations (1), (2) and (3) , we get modulus of elsticity as
 
Y =  ( F / A ) / ( ΔL / L ) 
 
From above expression, we know , modulus of elsticity depends on what factors are . 

Answered by Thiyagarajan K | 17th Jun, 2021, 01:01: PM