# Young's Modulus Calculation Examples

Young's modulus is the ratio of stress to strain. Young's modulus is named after the 19th-century British scientist Thomas Young. It is also known as the elastic modulus. Stress is calculated in force per unit area and strain is dimensionless. Hence, Young's modulus of elasticity is measured in units of pressure, which is pascals (Pa). Here are two simple young's modulus calculation examples to find elastic modulus, stress and strain.

## Young Modulus of Elasticity, Stress, Strain Example Problems

#### Example 1:

Let us consider the problem : A rod with stress as 2.5 and strain as 0.19. What is the value of Young's modulus?

###### Solution:

We can calculate the young's modulus of elasticity using the given formula.

#### Young's Modulus: Where, Y = Young's Modulus, S = Stress, St = Strain.

Substituting the values in the formula,

Y = 2.5 / 0.19 = 13.16

Therefore, the young's modulus of the rod is 13.16

#### Example 2:

Let us consider the problem : A rod with young's modulus of elasticity as 14.8 and strain 1.6. What is its stress?

###### Solution:

We can calculate the stress using the given formula.

#### Stress: Where, Y = Young's Modulus, S = Stress, St = Strain.

Substituting the values in the formula,

S = 1.6 x 14.8

= 23.68 m

Therefore, the stress of the rod is 23.68 m

#### Example 3:

Let us consider the problem : A rod with young's modulus of elasticity as 13.0 and stress as 0.34 What is its strain?

###### Solution:

We can calculate the strain using the given formula,

#### Strain: Where, Y = Young's Modulus, S = Stress, St = Strain

Substituting the values in the formula,

S = 0.34 / 13

= 0.03 m

Therefore, the strain of the rod is 0.03m