How to Convert Engineering Stress to True Stress | Mechanical Properties
Last Updated on June 8, 2024
Converting engineering stress to true stress is represented by the image below. To convert engineering stress to true stress, two essential parameters are needed and these parameters are Engineering Stress (σ) and Engineering Strain (ε).
The formula to convert engineering stress to true stress:
σT = σ(1 + ε)
Where:
σT = True Strain
σ = Engineering Stress
ε = Engineering Strain
Given an example;
Find the convert engineering stress to true stress when the engineering stress is 18 and the engineering strain is 2.
This implies that;
σ = Engineering Stress = 18
ε = Engineering Strain = 2
σT = σ(1 + ε)
That is, σT = 18(1 + 2)
σT = 18(3)
σT = 54
Therefore, the convert engineering stress to true stress is 54 Pa.
Calculating the Engineering Stress when the Engineering Stress, True Stress and the Engineering Strain are Given
σ = σT / (1 + ε)
Where:
σ = Engineering Stress
σT = True Strain
ε = Engineering Strain
Let’s solve an example;
Find the engineering stress when the true strain is 30 and the engineering strain is 9.
This implies that;
σT = True Strain = 30
ε = Engineering Strain = 9
σ = σT / (1 + ε)
That is, σ = 30 / (1 + 9)
σ = 30 / 10
σ = 3
Therefore, the engineering stress is 3.
Calculating the Engineering Strain when the Engineering Stress, True Stress and the Engineering Stress are Given
ε = (σT / σ) – 1
Where:
ε = Engineering Strain
σT = True Strain
σ = Engineering Stress
Let’s solve an example;
Find the engineering strain when the true strain is 16 and the engineering stress is 2.
This implies that;
σT = True Strain = 16
σ = Engineering Stress = 2
ε = (σT / σ) – 1
So, ε = (16 / 2) – 1
ε = 8 – 1
ε = 7
Therefore, the engineering strain is 7.
Read more: How to Calculate and Solve for True Stress – True Strain In Plastic Region | Mechanical Properties
How to Convert Engineering Stress to True Stress With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of converting engineering stress to true stress.
To get the answer and workings of converting engineering stress to true stress 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 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 Mechanical Properties under Materials and Metallurgical
Now, Click on Convert Engineering Stress to True Stress under Mechanical Properties
The screenshot below displays the page or activity to enter your values, to get the answer for converting engineering stress to true stress according to the respective parameter which is the Engineering Stress (σ) and Engineering Strain (ε).
Now, enter the values appropriately and accordingly for the parameters as required by the Engineering Stress (σ) is 18 and Engineering Strain (ε) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the convert engineering stress to true stress and presents the formula, workings and steps too.
