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# How to Calculate and Solve for True Stress | Mechanical Properties

Last Updated on January 9, 2023

The image above represents true stress.

To compute for true stress, two essential parameters are needed and these parameters areĀ Force (F)Ā andĀ Instantaneous Area (Ai).

The formula for calculating true stress:

ĻTĀ =Ā F/Ai

Where;

ĻTĀ = True Stress
F = Force
AiĀ = Instantaneous Area

Given an example;
Find the true stress when the force is 12 and the instantaneous area is 4.

This implies that;

F = Force = 12
Ai = Instantaneous Area = 4

ĻTĀ =Ā F/Ai
ĻTĀ =Ā 12/4
ĻT = 3

Therefore, theĀ true stressĀ isĀ 3 Pa.

Calculating the Force when the True Stress and the Instantaneous Area is Given.

F = ĻT x Ai

Where;

F = Force
ĻTĀ = True Stress
AiĀ = Instantaneous Area

Let’s solve an example;
Find the force when the true stress is 10 and the instantaneous area is 8.

This implies that;

ĻT = True Stress = 10
Ai = Instantaneous Area = 8

F = ĻT x Ai
F = 10 x 8
F = 80

Therefore, theĀ forceĀ is 80.

Calculating the Instantaneous Area when the True Stress and Force is Given.

Ai = F / ĻT

Where;

AiĀ = Instantaneous Area
ĻTĀ = True Stress
F = Force

Let’s solve an example;
Find the instantaneous area when the true stress is 5 and the force is 20.

This implies that;

ĻT = True Stress = 5
F = Force = 20

Ai = F / ĻT
Ai = 20 / 5
Ai = 4

Therefore, theĀ instantaneous areaĀ isĀ 4.

Nickzom Calculator āĀ The Calculator Encyclopedia is capable of calculating the true stress.

To get the answer and workings of the true stress using the Nickzom Calculator ā The Calculator Encyclopedia.Ā First, you need to obtain the app.

You can get this app via any of these means:

You can also try theĀ demoĀ version viaĀ https://www.nickzom.org/calculator

Apple (Paid)Ā āĀ https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to theĀ Calculator Map,Ā then click onĀ Materials and MetallurgicalĀ underĀ Engineering.

Now, Click onĀ Mechanical PropertiesĀ underĀ Materials and Metallurgical

Now, Click on True StressĀ underĀ Mechanical Properties

The screenshot below displays the page or activity to enter your values, to get the answer for the true stress according to the respective parameter which is the Force (F)Ā andĀ Instantaneous Area (Ai).

Now, enter the values appropriately and accordingly for the parameters as required by the Force (F)Ā is 12 andĀ Instantaneous Area (Ai) is 4.

Finally, Click on Calculate

As you can see fromĀ the screenshot above,Ā Nickzom Calculatorā The Calculator Encyclopedia solves for the true stress and presents the formula, workings and steps too.