Torque Transmitting Capacity of Splines Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transmitted Torque by Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft
Mt = pm*A*Rm
This formula uses 4 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
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)
Mean Radius of Spline of Shaft: 28 Millimeter --> 0.028 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mt = pm*A*Rm --> 6500000*0.00123*0.028
Evaluating ... ...
Mt = 223.86
STEP 3: Convert Result to Output's Unit
223.86 Newton Meter -->223860 Newton Millimeter (Check conversion here)
FINAL ANSWER
223860 Newton Millimeter <-- Transmitted Torque by Keyed Shaft
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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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

Torque Transmitting Capacity of Splines Formula

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

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 Torque Transmitting Capacity of Splines?

Torque Transmitting Capacity of Splines calculator uses Transmitted Torque by Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft to calculate the Transmitted Torque by Keyed Shaft, The Torque Transmitting Capacity of Splines formula is defined as the amount of torque that can be transmitted by the Splines. Transmitted Torque by Keyed Shaft is denoted by Mt symbol.

How to calculate Torque Transmitting Capacity of Splines using this online calculator? To use this online calculator for Torque Transmitting Capacity of Splines, enter Permissible Pressure on Splines (pm), Total Area of Splines (A) & Mean Radius of Spline of Shaft (Rm) and hit the calculate button. Here is how the Torque Transmitting Capacity of Splines calculation can be explained with given input values -> 2.2E+8 = 6500000*0.00123*0.028.

FAQ

What is Torque Transmitting Capacity of Splines?
The Torque Transmitting Capacity of Splines formula is defined as the amount of torque that can be transmitted by the Splines and is represented as Mt = pm*A*Rm or Transmitted Torque by Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft. 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 & Mean Radius of Spline of Shaft is defined as half the average of major and minor diameter of the spline.
How to calculate Torque Transmitting Capacity of Splines?
The Torque Transmitting Capacity of Splines formula is defined as the amount of torque that can be transmitted by the Splines is calculated using Transmitted Torque by Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft. To calculate Torque Transmitting Capacity of Splines, you need Permissible Pressure on Splines (pm), Total Area of Splines (A) & Mean Radius of Spline of Shaft (Rm). With our tool, you need to enter the respective value for Permissible Pressure on Splines, Total Area of Splines & Mean Radius of Spline of Shaft 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 Transmitted Torque by Keyed Shaft?
In this formula, Transmitted Torque by Keyed Shaft uses Permissible Pressure on Splines, Total Area of Splines & Mean Radius of Spline of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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