How to Calculate and Solve for True Stress | The Calculator Encyclopedia

The image above represents the true stress. To calculate the true stress, two essential parameters are needed and these parameters are force (F) and instantaneous area (A_i).

The formula for calculating true stress:

σ_T = ^F / _Ai

Where;
_T = True Stress
F = Force
A_i = Instantaneous Area

Let’s solve an example;
Find the true stress when the instantaneous area is 60 with a force of 25.

This implies that;
F = Force = 25
A_i = Instantaneous Area = 60

σ_T = ^F / _Ai
σ_T = ²⁵ / ₆₀
Then, σ_T = 0.416

Therefore, the true stress is 0.416 Pa.

Calculating the Force when True Stress and Instantaneous Area is Given

F = A_i x σ_T

Where;
F = Force
σ_T = True Stress
A_i = Instantaneous Area

Let’s solve an example;
Find the force when the instantaneous area is 30 with a true stress of 15.

This implies that;
σ_T = True Stress = 15
A_i = Instantaneous Area = 30

That is, F = A_i x σ_T
F = 30 x 15
F = 450

Therefore, the force is 450.

Calculating the Instantaneous Area when True Stress and Force is Given

A_i = ^F / _σT

Where;
A_i = Instantaneous Area
F = Force
σ_T = True Stress

Let’s solve an example;
Find the instantaneous area when the force is 440 with a true stress of 22.

This implies that;
σ_T = True Stress = 22
F = Force = 440

That is, A_i = ^F / _σT
A_i = ⁴⁴⁰ / ₂₂
A_i = 20

Therefore, the instantaneous area is 20.

Read more: How to Calculate and Solve for Convert Engineering Stress to True Stress | Mechanical Properties

How to Calculate and Solve for True Stress Using The Calculator Encyclopedia

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the true stress.

To get the answer and workings of true stress using the Nickzom Calculator – The Calculator Encyclopedia, 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 Material & Metallurgical under Engineering

Now, Click on Mechanical Properties under Material & Metallurgical

Click on True Stress under Material & Metallurgical

The screenshot below displays the page or activity to enter your value, to get the answer for the true stress according to the respective parameters which are the force (F) and instantaneous area (A_i).

Now, enter the value appropriately and accordingly for the parameter as required by the force (F) is 25 and instantaneous area (A_i) is 60.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the true stress and presents the formula, workings and steps too.