## Elasticity and Elasticity Types

Contents

### Modulus of Elasticity

- Ratio of the Stress to the Strain, within elastic limit
*(Hooke’s Law)*is a constant called Modulus of Elasticity or Coefficient of Elasticity.

#### Modulus of Elasticity Types

- Young’s Modulus of Elasticity (E)
- Shear Modulus or Modulus of Rigidity (G)
- Bulk Modulus of Elasticity (K)

**Young’s Modulus of Elasticity (E)**

- It is the ratio of Longitudinal Stress to the Longitudinal Strain, within elastic limit.

E= L. Stress/L. Strain

**Modulus of Rigidity (G)**

- Ratio of Shear Stress to the Shear Strain, within elastic limit.

G= Shear Stress/Shear Strain

**Bulk Modulus (K)**

Ratio of Volumetric Stress to Volumetric Strain, within elastic limit.

K= Vol. Stress/Vol. Strain

#### Relationships between E, G and K

- E= 2G(1+μ)
- E= 3K(1-2μ) Here
**‘μ’**is**Poisson’s Ratio** - E= (9KG) / (3K+G)