## Elasticity and Elasticity Types

### Modulus of Elasticity

• The ratio of the Stress to the Strain, within the 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 the elastic limit.

E= L. Stress/L. Strain

##### Modulus of Rigidity (G)
• The ratio of Shear Stress to the Shear Strain, within the elastic limit.

G= Shear Stress/Shear Strain

##### Bulk Modulus (K)

The ratio of Volumetric Stress to Volumetric Strain, within the 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)

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