Mean Radius of Splines given Torque Transmitting Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines)
Rm = Mt/(pm*A)
This formula uses 4 Variables
Variables Used
Mean Radius of Spline of Shaft - (Measured in Meter) - Mean Radius of Spline of Shaft is defined as half the average of major and minor diameter of the spline.
Transmitted Torque by Keyed Shaft - (Measured in Newton Meter) - Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.
Permissible Pressure on Splines - (Measured in Pascal) - Permissible Pressure on Splines measures the greatest amount of pressure that the splines can bear without failure.
Total Area of Splines - (Measured in Square Meter) - Total Area of Splines is defined as the total area of ridges or teeth on a drive shaft that mesh with grooves in a mating piece and transfer torque to it.
STEP 1: Convert Input(s) to Base Unit
Transmitted Torque by Keyed Shaft: 224500 Newton Millimeter --> 224.5 Newton Meter (Check conversion here)
Permissible Pressure on Splines: 6.5 Newton per Square Millimeter --> 6500000 Pascal (Check conversion here)
Total Area of Splines: 1230 Square Millimeter --> 0.00123 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rm = Mt/(pm*A) --> 224.5/(6500000*0.00123)
Evaluating ... ...
Rm = 0.0280800500312695
STEP 3: Convert Result to Output's Unit
0.0280800500312695 Meter -->28.0800500312695 Millimeter (Check conversion here)
FINAL ANSWER
28.0800500312695 28.08005 Millimeter <-- Mean Radius of Spline of Shaft
(Calculation completed in 00.004 seconds)

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9 Design of Splines Calculators

Torque Transmitting Capacity of Splines given Diameter of Splines
Go Transmitted Torque by Keyed Shaft = (1/8)*Permissible Pressure on Splines*Length of Hub on Keyed Shaft*Number of Splines* ((Major Diameter of Spline Key Shaft^2)-Minor Diameter of Spline Key Shaf^2)
Total Area of Splines
Go Total Area of Splines = 0.5*(Length of Hub on Keyed Shaft*Number of Splines)*(Major Diameter of Spline Key Shaft-Minor Diameter of Spline Key Shaf)
Permissible Pressure on Splines given Torque Transmitting Capacity
Go Permissible Pressure on Splines = Transmitted Torque by Keyed Shaft/(Total Area of Splines*Mean Radius of Spline of Shaft)
Mean Radius of Splines given Torque Transmitting Capacity
Go Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines)
Total Area of Splines given Torque Transmitting Capacity
Go Total Area of Splines = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Mean Radius of Spline of Shaft)
Torque Transmitting Capacity of Splines
Go Transmitted Torque by Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft
Mean Radius of Splines
Go Mean Radius of Spline of Shaft = (Major Diameter of Spline Key Shaft+Minor Diameter of Spline Key Shaf)/4
Major Diameter of Spline given Mean Radius
Go Major Diameter of Spline Key Shaft = 4*Mean Radius of Spline of Shaft-Minor Diameter of Spline Key Shaf
Minor Diameter of Spline given Mean Radius
Go Minor Diameter of Spline Key Shaf = 4*Mean Radius of Spline of Shaft-Major Diameter of Spline Key Shaft

Mean Radius of Splines given Torque Transmitting Capacity Formula

Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines)
Rm = Mt/(pm*A)

Define Splines

Splines are ridges or teeth on a drive shaft that mesh with grooves in a mating piece and transfer torque to it, maintaining the angular correspondence between them. a gear mounted on a shaft might use a male spline on the shaft that matches the female spline on the gear. The splines on the pictured drive shaft match with the female splines in the center of the clutch plate, while the smooth tip of the axle is supported in the pilot bearing in the flywheel.

How to Calculate Mean Radius of Splines given Torque Transmitting Capacity?

Mean Radius of Splines given Torque Transmitting Capacity calculator uses Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines) to calculate the Mean Radius of Spline of Shaft, The Mean Radius of Splines given Torque Transmitting Capacity formula is defined as half of the average of the major and minor diameter of the spline. Mean Radius of Spline of Shaft is denoted by Rm symbol.

How to calculate Mean Radius of Splines given Torque Transmitting Capacity using this online calculator? To use this online calculator for Mean Radius of Splines given Torque Transmitting Capacity, enter Transmitted Torque by Keyed Shaft (Mt), Permissible Pressure on Splines (pm) & Total Area of Splines (A) and hit the calculate button. Here is how the Mean Radius of Splines given Torque Transmitting Capacity calculation can be explained with given input values -> 28080.05 = 224.5/(6500000*0.00123).

FAQ

What is Mean Radius of Splines given Torque Transmitting Capacity?
The Mean Radius of Splines given Torque Transmitting Capacity formula is defined as half of the average of the major and minor diameter of the spline and is represented as Rm = Mt/(pm*A) or Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines). Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it, Permissible Pressure on Splines measures the greatest amount of pressure that the splines can bear without failure & Total Area of Splines is defined as the total area of ridges or teeth on a drive shaft that mesh with grooves in a mating piece and transfer torque to it.
How to calculate Mean Radius of Splines given Torque Transmitting Capacity?
The Mean Radius of Splines given Torque Transmitting Capacity formula is defined as half of the average of the major and minor diameter of the spline is calculated using Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines). To calculate Mean Radius of Splines given Torque Transmitting Capacity, you need Transmitted Torque by Keyed Shaft (Mt), Permissible Pressure on Splines (pm) & Total Area of Splines (A). With our tool, you need to enter the respective value for Transmitted Torque by Keyed Shaft, Permissible Pressure on Splines & Total Area of Splines and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mean Radius of Spline of Shaft?
In this formula, Mean Radius of Spline of Shaft uses Transmitted Torque by Keyed Shaft, Permissible Pressure on Splines & Total Area of Splines. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mean Radius of Spline of Shaft = (Major Diameter of Spline Key Shaft+Minor Diameter of Spline Key Shaf)/4
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