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

Last Updated on January 10, 2023

The image above represents design stress.

To compute for design stress, two essential parameters are needed and these parameters are Design Safety (N’) and Critical Stress (σc).

The formula for calculating design stress:

σd = N’σc

Where:

σd = Design Stress
N’ = Design Safety
σc = Critical Stress

Given an example;
Find the design stress when the design safety is 18 and the critical stress is 9.

This implies that;

N’ = Design Safety = 18
σc = Critical Stress = 9

σd = N’σc
σd = (18)(9)
σd = 162

Therefore, the design stress is 162 Pa.

Calculating the Design Safety when the Design Stress and the Critical Stress is Given.

N’ = σd / σc

Where:

N’ = Design Safety
σd = Design Stress
σc = Critical Stress

Let’s solve an example;
Given that, the design stress is 12 and the critical stress is 2. Find the Design safety?

This implies that;

σd = Design Stress = 12
σc = Critical Stress = 2

N’ = σd / σc
N’ = 12 / 2
N’ = 6

Therefore, the design safety is 6.

Calculating the Critical Stress when the Design Stress and the Design Safety is Given.

σc = σd / N’

Where:

σc = Critical Stress
σd = Design Stress
N’ = Design Safety

Given an example;
Find the critical stress when the design stress is 36 and the design safety is 9.

This implies that;

σd = Design Stress = 36
N’ = Design Safety = 9

σc = σd / N’
σc = 36 / 9
σc = 4

Therefore, the critical stress is 4.

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

To get the answer and workings of the design 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:

You can also try the demo version via https://www.nickzom.org/calculator

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 Design Stress under Mechanical Properties

The screenshot below displays the page or activity to enter your values, to get the answer for the design stress according to the respective parameter which is the Design Safety (N’) and Critical Stress (σc).

Now, enter the values appropriately and accordingly for the parameters as required by the Design Safety (N’) is 18 and Critical Stress (σc) is 9.

Finally, Click on Calculate

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