Hooke’s Law is valid for

By Mandeep Kumar|Updated : July 26th, 2022

It is an empirical law and is found to be valid for most materials. It is valid only in the linear part of the stress-strain curve. However, there are some materials that do not indicate this linear relationship.

Answer: Hooke’s Law is valid for the linear part of the stress-strain curve.

Hooke’s law states that for small deformations, stress is directly proportional to the strain for many materials. The constant of proportionality is called the modulus of elasticity. The elastic behavior of objects can be described by three elastic moduli such as Young’s modulus, Shear modulus, and Bulk modulus. The solids that do not obey Hooke’s law are called elastomers.

Details on terms related to Hooke’s Law

Following are the terms and their explanation that are used while describing Hooke’s Law:

  • The point of elastic limit on the stress-strain curve is called the yield point.

  • The corresponding stress is known as yield strength.

  • The ratio of tensile stress (σ) to the longitudinal strain (ε) is defined as Young’s modulus. It is denoted by the symbol Y.

  • The ratio of stress and strain is called the modulus of elasticity.

Tensile Strength, Elastic Limit and Young’s Modulus for some materials have been elaborated in the table given below.

Substance

Tensile Strength

Elastic Limit

Young’s Modulus

Steel

50

30

200

Wrought Iron

33

17

190

Copper

40

20

120

Aluminum

20

18

70

Summary:

Hooke’s Law is valid for

It is valid for the area of the curve between the origin and the yield point. It was given by Robert Hooke who was one of the most brilliant and versatile English scientists in the seventeenth century.

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