# The Modulus of Elasticity is Dimensionally Equivalent to

By BYJU'S Exam Prep

Updated on: September 25th, 2023

1. Strain
2. Stress
3. Surface tension
4. Poisson’s ratio

The modulus of elasticity is dimensionally equivalent to Stress. Young’s modulus of elasticity, often known as the modulus of elasticity, is a measurement of the elastic deformation that a solid experiences when under load. It relates to the load’s stress and strain in the following ways.

### Modulus of Elasticity

Y = stress/strain = σ/ ϵ = F/A/ Δl/l

Where l is the change in linear dimension relative to the starting dimension l under the applied load and F is the load acting on the solid in area A.

Modulus of elasticity Y = stress/strain

• The deformation of the body per unit of its dimension in the direction of the applied force is referred to as the strain.
• The ratio of two similar values is the strain. It won’t have any dimensions as a result.
• Therefore, the elasticity modulus will have the same unit as the stress.
• As a result, stress and the modulus of elasticity are similar in dimensions.

Summary:-

## The Modulus of Elasticity is Dimensionally Equivalent to 1. Strain 2. Stress 3. Surface Tension 4. Poisson’s Ratio

Stress is dimensionally equivalent to the modulus of elasticity. It is the measure of elastic deformation experienced by a solid

Related Questions:-

POPULAR EXAMS
SSC and Bank
Other Exams
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com