Mean Radius of Splines Calculator

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✖The Major Diameter of Spline Key Shaft is the outside diameter of the external surface of a spline.ⓘ Major Diameter of Spline Key Shaft [D]			+10% -10%
✖Minor Diameter of Spline Key Shaft is the innermost surface of the spline. It is the tip diameter of the internal spline or the root diameter of the external spline.ⓘ Minor Diameter of Spline Key Shaf [d]			+10% -10%

✖Mean Radius of Spline of Shaft is defined as half the average of major and minor diameter of the spline.ⓘ Mean Radius of Splines [R_m]

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Formula

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Mean Radius of Splines

Formula

`"R"_{"m"} = ("D"+"d")/4`

Example

`"28mm"=("60mm"+"52mm")/4`

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Mean Radius of Splines Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Radius of Spline of Shaft = (Major Diameter of Spline Key Shaft+Minor Diameter of Spline Key Shaf)/4
R_m = (D+d)/4
This formula uses 3 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.
Major Diameter of Spline Key Shaft - (Measured in Meter) - The Major Diameter of Spline Key Shaft is the outside diameter of the external surface of a spline.
Minor Diameter of Spline Key Shaf - (Measured in Meter) - Minor Diameter of Spline Key Shaft is the innermost surface of the spline. It is the tip diameter of the internal spline or the root diameter of the external spline.

STEP 1: Convert Input(s) to Base Unit

Major Diameter of Spline Key Shaft: 60 Millimeter --> 0.06 Meter (Check conversion here)
Minor Diameter of Spline Key Shaf: 52 Millimeter --> 0.052 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_m = (D+d)/4 --> (0.06+0.052)/4

Evaluating ... ...

R_m = 0.028

STEP 3: Convert Result to Output's Unit

0.028 Meter -->28 Millimeter (Check conversion here)

FINAL ANSWER

28 Millimeter <-- Mean Radius of Spline of Shaft

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Splines » Mean Radius of Splines

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

< 9 Design of Splines Calculators

Torque Transmitting Capacity of Splines given Diameter of Splines

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 Formula

Mean Radius of Spline of Shaft = (Major Diameter of Spline Key Shaft+Minor Diameter of Spline Key Shaf)/4
R_m = (D+d)/4

Define Spline

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?

Mean Radius of Splines calculator uses Mean Radius of Spline of Shaft = (Major Diameter of Spline Key Shaft+Minor Diameter of Spline Key Shaf)/4 to calculate the Mean Radius of Spline of Shaft, The Mean Radius of Splines formula is defined as half of the average of the major diameter and minor diameter of the spline. Mean Radius of Spline of Shaft is denoted by R_m symbol.

How to calculate Mean Radius of Splines using this online calculator? To use this online calculator for Mean Radius of Splines, enter Major Diameter of Spline Key Shaft (D) & Minor Diameter of Spline Key Shaf (d) and hit the calculate button. Here is how the Mean Radius of Splines calculation can be explained with given input values -> 28000 = (0.06+0.052)/4.

FAQ

What is Mean Radius of Splines?

The Mean Radius of Splines formula is defined as half of the average of the major diameter and minor diameter of the spline and is represented as R_m = (D+d)/4 or Mean Radius of Spline of Shaft = (Major Diameter of Spline Key Shaft+Minor Diameter of Spline Key Shaf)/4. The Major Diameter of Spline Key Shaft is the outside diameter of the external surface of a spline & Minor Diameter of Spline Key Shaft is the innermost surface of the spline. It is the tip diameter of the internal spline or the root diameter of the external spline.

How to calculate Mean Radius of Splines?

The Mean Radius of Splines formula is defined as half of the average of the major diameter and minor diameter of the spline is calculated using Mean Radius of Spline of Shaft = (Major Diameter of Spline Key Shaft+Minor Diameter of Spline Key Shaf)/4. To calculate Mean Radius of Splines, you need Major Diameter of Spline Key Shaft (D) & Minor Diameter of Spline Key Shaf (d). With our tool, you need to enter the respective value for Major Diameter of Spline Key Shaft & Minor Diameter of Spline Key Shaf 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 Major Diameter of Spline Key Shaft & Minor Diameter of Spline Key Shaf. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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