The image above represents young’s modulus. To calculate young’s modulus, two essential parameters are needed and these parameters are axial stress (σa) and axial strain (εa).
The formula for calculating the young’s modulus:
E = σa / εa
Where:
E = Young’s Modulus
σa = Axial Stress
εa = 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;
σa = Axial Stress = 65
εa = Axial Strain = 45
Then, E = σa / εa
E = 65Â /Â 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 are Given
σa = E x εa
Where;
σa = Axial Stress
E = Young’s Modulus
εa = Axial Strain
Let’s solve an example;
Given that the young’s modulus is 25 and the axial strain is 10, calculate the axial stress.
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This implies that;
E = Young’s Modulus = 25
εa = Axial Strain = 10
So, σa = E x εa
σa = 25 x 10
σa = 250
Therefore, the axial stress is 250.
Calculating the Axial Strain when the Young’s Modulus and the Axial Stress are Given
εa = σa / E
Where;
εa = Axial Strain
E = Young’s Modulus
σa = Axial Stress
Let’s solve an example;
Given that the young’s modulus is 7 and the axial stress is 35, calculate the axial strain.
This implies that;
E = Young’s Modulus = 7
σa = Axial Stress = 35
Then, εa = σa / E
εa = 35 / 7
εa = 5
Therefore, the axial strain is 5.
Read more:Â How to Calculate and Solve for Bulk Modulus of Elasticity (E) | Rock Mechanics
How to Calculate and Solve for Young’s Modulus Using the Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the young’s modulus.
To get the answer and workings of 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 1,500 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 Geology under Add-on.
Now, Click on Rock Mechanics under Geology
Now, Click on Young’s Modulus under Rock 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 are the axial stress (σa) and axial strain (εa).
Now, enter the values appropriately and accordingly for the parameters as required by the axial stress (σa) is 65 and axial strain (εa) is 45.
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.