How to Calculate and Solve for Stress Ratio | Fracture

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

The formula for calculating stress ratio:

R = σmin/σmax

Where:

R = Stress Ratio
σmax = Maximum Stress
σmin = Minimum Stress

Given an example;
Find the stress ratio when the maximum stress is 20 and the minimum stress is 5.

This implies that;

σmax = Maximum Stress = 20
σmin = Minimum Stress = 5

That is, R = σmin/σmax
R = 5/20
R = 0.25

Therefore, the stress ratio is 0.25.

Calculating the Maximum Stress when the Stress Ratio and the Minimum Stress are Given

σmax = σmin / R

Where:

σmax = Maximum Stress
R = Stress Ratio
σmin = Minimum Stress

Let’s solve an example;
Find the maximum stress when the stress ratio is 10 and the minimum stress is 20.

This implies that;

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R = Stress Ratio = 10
σmin = Minimum Stress = 20

σmax = σmin / R
Then, σmax = 20 / 10
σmax = 2

Therefore, the maximum stress is 2.

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

Calculating the Minimum Stress when the Stress Ratio and the Maximum Stress are Given

σmin = R (σmax)

Where:

σmin = Minimum Stress
R = Stress Ratio
σmax = Maximum Stress

Let’s solve an example;
Find the minimum stress when the stress ratio is 14 and the maximum stress is 2.

This implies that;

R = Stress Ratio = 14
σmax = Maximum Stress = 2

That is, σmin = R (σmax)
σmin = 14 (2)
σmin = 28

Therefore, the minimum stress is 28.

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

How to Calculate Stress Ratio With Nickzom Calculator

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

To get the answer and workings of the stress ratio 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 Stress Ratio under Fracture

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

How to Calculate and Solve for Stress Ratio | Fracture

Now, enter the values appropriately and accordingly for the parameters as required by the Maximum Stress (σmax) is 20 and Minimum Stress (σmin) is 5.

How to Calculate and Solve for Stress Ratio | Fracture

Finally, Click on Calculate

How to Calculate and Solve for Stress Ratio | Fracture

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

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