How to Calculate and Solve for Shaft Diameter | Ball Mill Sizing
Last Updated on May 5, 2024
The image above represents shaft diameter. Two essential parameters are needed to calculate shaft diameter: shaft power (P) and 75% critical speed (N).
The formula for calculating shaft diameter:
D = ³√(1.33 x 106 x P/N)
Where:
D = Shaft Diameter
P = Shaft Power
N = 75% of Critical Speed
Let’s solve an example;
Find the shaft diameter when the shaft power is 28 and the 75% of critical speed is 7.
This implies that;
P = Shaft Power = 28
N = 75% of Critical Speed = 7
D = ³√(1.33 x 106 x P/N)
D = ³√(1.33 x 106 x 28/7)
That is, D = ³√(37240000/7)
D = ³√(5320000)
D = 174.57
Therefore, the shaft diameter is 174.57 m.
Calculating the Shaft Power when the Shaft Diameter and the 75% of Critical Speed are Given
P = D3 x N / 1.33 x 106
Where;
P = Shaft Power
D = Shaft Diameter
N = 75% of Critical Speed
Let’s solve an example;
Find the shaft power when the shaft diameter is 3 and the 75% of critical speed is 10.
This implies that;
D = Shaft Diameter = 3
N = 75% of Critical Speed = 10
P = D3 x N / 1.33 x 106
So, P = 33 x 10 / 1.33 x 106
P = 9 x 10 / 1.33 x 106
Then, P = 90 / 140.98
P = 0.64
Therefore, the shaft power is 0.64 m/s.
Read more: How to Calculate and Solve for Shaft Power | Ball Mill Sizing
Calculating the 75% of Critical Speed when the Shaft Diameter and the Shaft Power are Given
N = 1.33 x 106 x P / D3
Where;
N = 75% of Critical Speed
D = Shaft Diameter
P = Shaft Power
Let’s solve an example;
Find the 75% of critical speed when the shaft diameter is 12 and the shaft power is 2.
This implies that;
D = Shaft Diameter = 12
P = Shaft Power = 2
N = 1.33 x 106 x P / D3
N = 1.33 x 106 x 2 / 123
So, N = 281.96 / 1728
N = 0.16
Therefore, the 75% of critical speed is 0.16 m/s.
Read more: How to Calculate and Solve for Mill Speed | Ball Mill Sizing
How to Calculate Shaft Diameter Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the shaft diameter.
To get the answer and workings of the shaft diameter 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 for NGN 2,000 per annum 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 Ball Mill Sizing under Materials and Metallurgical
Now, Click on Shaft Diameter under Ball Mill Sizing
The screenshot below displays the page or activity to enter your values, to get the answer for the shaft diameter according to the respective parameters which is the Shaft Power (P) and 75% of Critical Speed (N).
Now, enter the value appropriately and accordingly for the parameter as required by the Shaft Power (P) is 28 and 75% of Critical Speed (N) is 7.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the shaft diameter and presents the formula, workings and steps too.
