Engineering

How to Calculate and Solve for Safe Working Stress | Mechanical Properties

Last Updated on January 10, 2023

The image above represents safe working stress.

To compute for safe working stress, two essential parameters are needed and these parameters are Factor of Safety (N) and Yield Strength (σy).

The formula for calculating safe working stress:

σw = σy/N

Where:

σw = Safe Working Stress
σy = Yield Strength
N = Factor of Safety

Given an example;
Find the safe working stress when the yield strength is 4 and the factor of safety is 2.

This implies that;

σy = Yield Strength = 4
N = Factor of Safety = 2

σw = σy/N
σw = 2/4
σw = 0.5

Therefore, the safe working stress is 0.5.

Calculating the Yield Strength when the Safe Working Stress and the Factor of Safety is Given.

σy = σw x N

Where:

σy = Yield Strength
σw = Safe Working Stress
N = Factor of Safety

Let’s solve an example;
Find the yield strength when the safe working stress is 32 and the factor of safety is 4.

This implies that;

σw = Safe Working Stress = 32
N = Factor of Safety = 4

σy = σw x N
σy = 32 x 4
σy = 128

Therefore, the yield strength is 128.

Calculating the Factor of Safety when the Safe Working Stress and the Yield Strength is Given.

N = σy / σw

Where:

N = Factor of Safety
σw = Safe Working Stress
σy = Yield Strength

Let’s solve an example;
Given that, the safe working stress is 9 and the yield strength is 27. Find the factor of safety?

This implies that;

σw = Safe Working Stress = 9
σy = Yield Strength = 27

N = σy / σw
N = 27 / 9
N = 3

Therefore, the factor of safety is 3.

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

To get the answer and workings of the safe working 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 Safe Working Stress under Mechanical Properties

The screenshot below displays the page or activity to enter your values, to get the answer for the safe working stress according to the respective parameter which is the Factor of Safety (N) and Yield Strength (σy).

Now, enter the values appropriately and accordingly for the parameters as required by the Factor of Safety (N) is 4 and Yield Strength (σy) is 2.

Finally, Click on Calculate

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

Leave a Reply