Young’s Modulus Formula
Mathematically, Young’s Modulus is defined as the ratio of the stress applied to the material and the strain corresponding to the applied stress in the material as shown below:
Young’s Modulus = Stress / Strain
Y = σ / ϵ
where
Y is Young’s Modulus of the material
σ is the stress applied to the material
ϵ is the strain corresponding to the applied stress
Units of Young’s Modulus
SI unit for Young’s modulus is Pascal (Pa).
Dimensional formula for Young’s Modulus is [ML-1T-2].
The values are most often expressed in terms of Megapascal (MPa), Newtons per square millimeter (N/mm2), Gigapascals (GPa), or kilonewtons per square millimeter (kN/mm2).
Young’s Modulus
Young’s Modulus is the ratio of stress and strain. It is named after the famous British physicist Thomas Young. Young’s Modulus provides a relation between stress and strain in any object. When a certain load is added to a rigid material, it deforms. When the weight is withdrawn from an elastic material, the body returns to its original form, this property is called Elasticity.
Elastic bodies have a steady linear Young’s modulus. Young’s modulus of Steel is 2×1011 Nm-2. Young Modulus is also called the Modulus of Elasticity. In this article, we will learn about Young’s Modulus, its Young’s Modulus formula, unit, Stress, Strain, and how to calculate Young’s Modulus.
Table of Content
- What Is Young’s Modulus?
- Young’s Modulus Definition
- Young’s Modulus of Elasticity
- Young’s Modulus Formula
- Units of Young’s Modulus
- Other Form of Young’s Modulus Formula
- Notations in Young’s Modulus Formula
- Young’s Modulus Factors
- How to Calculate Young’s Modulus
- Young’s Modulus of Some Materials
- Mathematical Interpretation of Young’s Modulus
- Factors Affecting Young’s Modulus
- Solved Examples on Young’s Modulus
- Practice Problems on Young’s Modulus