The image above represents young’s modulus.

To compute for young’s modulus, two essential parameters are needed and these parameters are **axial stress (σ _{a}) and axial strain (ε_{a}).**

The formula for calculating the young’s modulus:

E = ^{σa} / _{εa}

Where:

E = Young’s Modulus

σ_{a} = Axial Stress

ε_{a} = Axial Strain

Let’s solve an example;

Given that the axial stress is 65 and the axial strain is 45. Calculate for the young’s modulus?

This implies that;

σ_{a} = Axial Stress = 65

ε_{a} = Axial Strain = 45

E = ^{σa} / _{εa}

E = ^{65} / _{45}

E = 1.44

Therefore, the **young’s modulus **is **1.44.**

**Calculating the Axial Stress when the Young’s Modulus and the Axial Strain is Given.**

σ_{a} = E x ε_{a}

Where;

σ_{a} = Axial Stress

E = Young’s Modulus

ε_{a} = Axial Strain

Let’s solve an example;

Given that the young’s modulus is 25 and the axial strain is 10. Calculate for the axial stress?

This implies that;

E = Young’s Modulus = 25

ε_{a} = Axial Strain = 10

σ_{a} = E x ε_{a}

σ_{a} = 25 x 10

σ_{a} = 250

Therefore, the **axial stress **is **250.**

Continue reading How to Calculate and Solve for Young’s Modulus | Rock Mechanics