How to Calculate and Solve for Design Stress | Mechanical Properties

The image above represents design stress. To calculate 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
That is, σd = (18)(9)
σd = 162

Therefore, the design stress is 162 Pa.

Calculating the Design Safety when the Design Stress and the Critical Stress are 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;

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

N’ = σd / σc
Then, N’ = 12 / 2
N’ = 6

Therefore, the design safety is 6.

Calculating the Critical Stress when the Design Stress and the Design Safety are 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’
That is, σc = 36 / 9
σc = 4

Therefore, the critical stress is 4.

Read more: How to Calculate and Solve for Critical Shear Stress | Deformation

How to Calculate Design Stress Using NIckzom Calculator

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:

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 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).

How to Calculate and Solve for Design Stress | Mechanical Properties

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.

How to Calculate and Solve for Design Stress | Mechanical Properties

Finally, Click on Calculate

How to Calculate and Solve for Design Stress | Mechanical Properties

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

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