Engineering

How to Calculate and Solve for Range Stress | Fracture

Last Updated on June 7, 2024

The image above represents range stress. To calculate range stress, two essential parameters are needed and these parameters are Maximum Stress (σmaxand Minimum Stress (σmin).

The formula for calculating range stress:

σr = σmax – σmin

Where:

σr = Range of Stress
σmax = Maximum Stress
And then, σmin = Minimum Stress

Given an example;
Find the range of stress when the maximum stress is 12 and the minimum stress is 4.

This implies that;

σmax = Maximum Stress = 12
σmin = Minimum Stress = 4

That is, σr = σmax – σmin
σr = 12 – 4
σr = 8

Therefore, the range of stress is 8 Pa.

Calculating the Maximum Stress when the Range of Stress and the Minimum Stress are Given

σmax = σr + σmin

Where:

σmax = Maximum Stress
σr = Range of Stress
And then, σmin = Minimum Stress

Let’s solve an example;
Find the maximum stress when the range of stress is 12 and the minimum stress is 10.

This implies that;

σr = Range of Stress = 12
σmin = Minimum Stress = 10

That is, σmax = σr + σmin
σmax = 12 + 10
σmax = 22

Therefore, the maximum stress is 22.

Read more: How to Calculate and Solve for Maximum Crack Tip Stress | Fracture

Calculating the Minimum Stress when the Range of Stress and the Maximum Stress are Given

σmin = σmax – σr

Where:

σmin = Minimum Stress
σr = Range of Stress
And then, σmax = Maximum Stress

Let’s solve an example;
Find the minimum stress when the range of stress is 14 and the maximum stress is 24.

This implies that;

σr = Range of Stress = 14
σmax = Maximum Stress = 24

That is, σmin = σmax – σr
σmin = 24 – 14
σmin = 10

Therefore, the minimum stress is 10.

Read more: How to Calculate and Solve for Stress Ratio | Fracture

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

To get the answer and workings of the range of 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 Fracture under Materials and Metallurgical

Now, Click on Range of Stress under Fracture

The screenshot below displays the page or activity to enter your values, to get the answer for the range of stress according to the respective parameter which is the Maximum Stress (σmaxand Minimum Stress (σmin).

How to Calculate and Solve for Range Stress | Fracture

Now, enter the values appropriately and accordingly for the parameters as required by the Maximum Stress (σmax) is 12 and Minimum Stress (σmin) is 4.

How to Calculate and Solve for Range Stress | Fracture

Finally, Click on Calculate

How to Calculate and Solve for Range Stress | Fracture

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

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