# Dimensional formula of Modulus of elasticity – how to find it?

Last updated on May 21st, 2023 at 02:09 pm

*Here, we will find out the dimensional formula of the Modulus of elasticity.*

This Dimensional formula will be applicable for **3 different sets of elasticity modulus**:

These are (a) **Young’s Modulus (2) Shear Modulus (3) Bulk modulus**

The

Modulus of Elasticityis the ratio of Stress and Strain.

The formula of= Stress/StrainModulus of ElasticityThe dimensional formula of Stress = [ML

^{–1}T^{–2}] [see here how to find the dimensional formula of stress ]The dimension of Strain = [M

^{0}L^{0}T^{0}] [see here how to find the dimensional formula of strain ]

Hence, the Dimensional formula ofModulus of Elasticity

=The dimensional formula of stress / The dimensional formula of strain= [ML^{–1}T^{–2}] / [M^{0}L^{0}T^{0}]

=[ML^{–1}T^{–2}]

**Dimensional formula of Modulus of Elasticity **

**=**

**[ML**^{–1}T^{–2}]Note: **Modulus of Elasticity**, stress, and pressure have the same dimensional formula.