How to Calculate and Solve for Young’s Modulus | Fracture Mechanics

The image above represents young’s modulus. To calculate young’s modulus, two essential parameters are needed and these parameters are Stress and Strain.

The formula for calculating young’s modulus:

Young’s Modulus = ^Stress / _Strain

Let’s solve an example;
Given that the stress is 12 and the strain is 6. Find the Young’s modulus?

This implies that;

Stress = 12
Strain = 6

Young’s Modulus = ^Stress / _Strain
So, Young’s Modulus = ¹² / ₆
Young’s Modulus = 2

Therefore, the young’s modulus is 2.

Calculating the Stress when the Young’s Modulus and the Strain are Given

stress = young’s modulus x strain

Let’s solve an example;
Find the stress when the young’s modulus is 32 and the strain is 10.

This implies that;

Young’s Modulus = 32
Strain = 10

stress = young’s modulus x strain
That is, stress = 32 x 10
stress = 320

Therefore, the stress is 320.

Read more: How to Calculate and Solve for Shear Modulus of Rubber | Fracture Mechanics

Calculating the Strain when the Young’s Modulus and the Stress are Given

strain = ^stress / _{young’s modulus}

Let’s solve an example;
Find the strain when the young’s modulus is 20 and the stress is 40.

This implies that;

Young’s Modulus = 20
Stress = 40

So, strain = ^stress / _{young’s modulus}
strain = ⁴⁰ / ₂₀
strain = 2

Therefore, the strain is 2.

Read more: How to Calculate and Solve for Shear Modulus | Rock Mechanics

How to Calculate Young’s Modulus in Fracture Mechanics Using Nikzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the young’s modulus.

To get the answer and workings of the young’s modulus using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Fracture Mechanics under Materials and Metallurgical

Now, Click on Young’s Modulus under Fracture Mechanics

The screenshot below displays the page or activity to enter your values, to get the answer for the young’s modulus according to the respective parameters which is the Stress and Strain.

Now, enter the value appropriately and accordingly for the parameter as required by the Stress is 12 and Strain is 6.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the young’s modulus and presents the formula, workings and steps too.