# Young's Modulus Calculator

**Created By :**
Sunil Kumar Gandipadala

**Reviewed By :**
Rajashekhar Valipishetty

**Last Updated :**
Apr 10, 2023

Utilize this free Young's Modulus Calculator tool to know the young modulus value fastly. Simply, enter stress and strain in the input fields and press on the calculate button to get the output in fraction of seconds.

### Steps to Calculate Young's Modulus

Follow the easy guidelines and procedure offered here to find the young's modulus value

- Collect data like total stress and strain acting on the body due to force from the question.
- Young's modulus is the ratio of stress and strain.
- Evaluate stress / strain to get the answer.

**Example**

**Question: A wire of length 2 m and cross-sectional area 10-4 m2 is streched by a load of 102 kg. The wire is streched by 0.1 cm. Calculate longitudinal stress, longitudinal strain and Young's Modulus of the material wire?**

**Solution:**

Given that,

Initial length of wise = l = 2 m

Cross sectional area = a = 10-4 m

Stretching weight = 102 kg wt = 102 x 9.8 N

Increase in length = l = 0.1 cm = 0.1 x 10-2 m = 10-3 m

g = 9.8 m/s2

stress = ?

strain = ?

Young's Modulus = ?

stress = F / A

= (102 x 9.8) / 10-4

Stress = 1 x 107 N/m2

Strain = l / L = 10-3 / 2

= 0.5 x 10-3

Strain = 5 x 10-4

Young's modulus of elasticity = Y = stress / strain

= (1 x 107) / (5 x 10-4)

Y = 2 x 1010 N/m2

Therefore, stress = 1 x 107 N/m2, Strain = 5 x 10-4, Young's modulus of elasticity = 2 x 1010 N/m2

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### FAQs on Young's Modulus Calculator

**1. How do you define Young's modulus?**

Young's modulus is a measure of the ability of a material to withstand changes in dimension when under dimension wise tension or compression. In some situations, young's modulus is the longitudinal stress divided by strain.

**2. What is the Young's Modulus formula?**

Young's modulus is calculated using the relationship between the total stress and the resulting strain because of the forces acting on the body. Its formula is

Y = Stress / Strain

Here Y is the Young's modulus measured in N/m2 or Pascal.

**3. What is stress and strain?**

Stress is defined as the total force acting per unit area. Strain is defined as the ratio of total deformation or change to the initial dimension. It may be its length, volume or area.

**4. Where do I get the detailed procedure to calculate Young's modulus?**

You will find the detailed step by step explanation to solve the young modulus on this page.