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.

**Young's Modulus Calculator: **If you are searching for a better tool that gives the young modulus value, then you are at the right place. Our handy Young's Modulus Calculator displays the young modulus value of your problem within no time. The advantages of this calculator is it gives accurate results in less amount of time and it is user friendly. Along with this easy to use tool, we are also giving the step by step process to calculate the young's modulus in the following sections.

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} m^{2} 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/s^{2}

stress = ?

strain = ?

Young's Modulus = ?

stress = F / A

= (102 x 9.8) / 10^{-4}

Stress = 1 x 10^{7} N/m^{2}

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 10^{7}) / (5 x 10^{-4})

Y = 2 x 10^{10} N/m^{2}

Therefore, stress = 1 x 10^{7} N/m^{2}, Strain = 5 x 10^{-4}, Young's modulus of elasticity = 2 x 10^{10} N/m^{2}

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**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/m^{2} 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.