Hooke’s Law is Valid for
By Balaji
Updated on: February 17th, 2023
Hooke’s Law is valid for the proportional region of the stressstrain curve. It is an empirical law and is found to be valid for most materials. It is valid only in the linear part of the stressstrain curve. However, there are some materials that do not indicate this linear relationship.
Table of content

1. Validity of Hooke’s Law

2. Hooke’s Law is Valid for
Validity of Hooke’s Law
According to Hooke’s law, for small deformations in many materials, stress is directly proportional to the strain. The modulus of elasticity is the name given to the proportionality constant. Three elastic moduli, such as Young’s, Shear, and Bulk moduli, can be used to explain how elastic objects behave. Elastomers are solids that do not follow Hooke’s law.
A metal spring is an elastic object, and the force needed to stretch it is, up to a point, directly proportional to the spring’s extension. This is referred to as Hooke’s law and is usually written as follows: F = k x boxed F=kx F=kx.
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 stressstrain 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
The proportional region of the stressstrain curve is where Hooke’s Law is applicable. It is an empirical law that has been shown to apply to the majority of materials. Only the linear portion of the stressstrain curve is where it is valid. Some materials, however, do not suggest this linear relationship.
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