How to Calculate and Solve for Convert Engineering Stress to True Stress | Mechanical Properties
Last Updated on January 9, 2023
The convert engineering stress to true stress is represented by the image below.
To compute for engineering stress to true stress, two essential parameters are needed and these parameters are Engineering Stress (σ) and Engineering Strain (ε).
The formula for calculating 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)
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 Convert Engineering Stress to True Stress and the Engineering Strain is 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)
σ = 30 / (1 + 9)
σ = 30 / 10
σ = 3
Therefore, the engineering stress is 3.
Calculating the Engineering Strain when the Convert Engineering Stress to True Stress and the Engineering Stress is 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
ε = (16 / 2) – 1
ε = 8 – 1
ε = 7
Therefore, the engineering strain is 7.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the convert engineering stress to true stress.
To get the answer and workings of the convert 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
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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 the convert 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.
