How to Calculate and Solve for Mean Stress for Cyclic Loading | Fracture
Last Updated on February 28, 2023
The image above represents mean stress for cyclic loading.
To compute for mean stress for cyclic loading, two essential parameters are needed and these parameters are Maximum Stress (σmax) and Minimum Stress (σmin).
The formula for calculating mean stress for cyclic loading:
σm = 0.5(σmax + σmin)
Where:
σm = Mean Stress for Cyclic Loading
σmax = Maximum Stress
σmin = Minimum Stress
Given an example;
Find the mean stress for cyclic loading when the maximum stress is 26 and the minimum stress is 10.
This implies that;
σmax = Maximum Stress = 26
σmin = Minimum Stress = 10
σm = 0.5(σmax + σmin)
σm = 0.5(26 + 10)
σm = 0.5(36)
σm = 18
Therefore, the mean stress for cyclic loading is 18 Pa.
Calculating the Maximum Stress when the Mean Stress for Cyclic Loading and the Minimum Stress is Given.
σmax = (σm / 0.5) – σmin
Where:
σmax = Maximum Stress
σm = Mean Stress for Cyclic Loading
σmin = Minimum Stress
Let’s solve an example;
Find the maximum stress when the mean stress for cyclic loading is 40 and the minimum stress is 10.
This implies that;
σm = Mean Stress for Cyclic Loading = 40
σmin = Minimum Stress = 10
σmax = (σm / 0.5) – σmin
σmax = (40 / 0.5) – 10
σmax = 80 – 10
σmax = 70
Therefore, the maximum stress is 70.
Calculating the Minimum Stress when the Mean Stress for Cyclic Loading and the Maximum Stress is Given.
σmin = (σm / 0.5) – σmax
Where:
σmin = Minimum Stress
σm = Mean Stress for Cyclic Loading
σmax = Maximum Stress
Let’s solve an example;
Find the minimum stress when the mean stress for cyclic loading is 35 and the maximum stress is 15.
This implies that;
σm = Mean Stress for Cyclic Loading = 35
σmax = Maximum Stress = 15
σmin = (σm / 0.5) – σmax
σmin = (35 / 0.5) – 15
σmin = 70 – 15
σmin = 55
Therefore, the minimum stress is 55.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the mean stress for cycling loading.
To get the answer and workings of the mean stress for cycling loading 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 Mean Stress for Cyclic Loading under Fracture
The screenshot below displays the page or activity to enter your values, to get the answer for the mean stress for cyclic loading according to the respective parameter which is the Maximum Stress (σmax) and Minimum Stress (σmin).
Now, enter the values appropriately and accordingly for the parameters as required by the Maximum Stress (σmax) is 26 and Minimum Stress (σmin) is 10.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the mean stress for cyclic loading and presents the formula, workings and steps too.