Hooke's Law Holds Good Up To

By Ruchika|Updated : July 20th, 2022

Hooke's Law Holds Good Up To:

  1. Yield point
  2. Limit of proportionality
  3. Breaking point
  4. Elastic limit

Ans: 2. Limit of proportionality

Hooke's Law Holds Good Up To

In Tensile test diagram, the initial portion of the stress-strain diagram is straight. The slope of this line is the ratio of stress to strain and is constant for a given material.

In this range, the material behaves elastically and also exhibits a linear relationship between stress and strain, it is called linearly elastic.

The slope of the stress-strain curve is called the young’s modulus of elasticity (E):

The slope of stress-strain curve, 

E = σ/Ɛ

This equation is known as Hooke’s law.

Thus, the modulus of elasticity (E) is the constant of proportionality which is defined as the intensity of stress that causes unit strain.

Modulus of elasticity E has the units same as units of stress.

Strain is proportional to the corresponding stress up to a limit only and that limit is known as the limit of proportionality.

Summary

Hooke's Law Holds Good Up To

Hooke’s law states that the strain of the material is proportional to the applied stress within the limit of proportionality of that material. The atoms and molecules deform as the elastic materials are stretched when stress is applied and they returned to their initial state when the stress is released.

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