Total Area of Splines Calculator

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✖Length of Hub on Keyed Shaft is equal to the length of a hub measured along its central axis.ⓘ Length of Hub on Keyed Shaft [l_h]			+10% -10%
✖Number of Splines is the total number of splines on a shaft or any machine element.ⓘ Number of Splines [n]			+10% -10%
✖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%

✖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.ⓘ Total Area of Splines [A]

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Formula

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Total Area of Splines

Formula

`"A" = 0.5*("l"_{"h"}*"n")*("D"-"d")`

Example

`"1560mm²"=0.5*("65mm"*"6")*("60mm"-"52mm")`

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Total Area of Splines Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
A = 0.5*(l_h*n)*(D-d)
This formula uses 5 Variables

Variables Used

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.
Length of Hub on Keyed Shaft - (Measured in Meter) - Length of Hub on Keyed Shaft is equal to the length of a hub measured along its central axis.
Number of Splines - Number of Splines is the total number of splines on a shaft or any machine element.
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

Length of Hub on Keyed Shaft: 65 Millimeter --> 0.065 Meter (Check conversion here)
Number of Splines: 6 --> No Conversion Required
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

A = 0.5*(l_h*n)*(D-d) --> 0.5*(0.065*6)*(0.06-0.052)

Evaluating ... ...

A = 0.00156

STEP 3: Convert Result to Output's Unit

0.00156 Square Meter -->1560 Square Millimeter (Check conversion here)

FINAL ANSWER

1560 Square Millimeter <-- Total Area of Splines

(Calculation completed in 00.004 seconds)

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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

Total Area of Splines Formula

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)
A = 0.5*(l_h*n)*(D-d)

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. For instance, a gear mounted on a shaft might use a male spline on the shaft that matches the female spline on the gear.

How to Calculate Total Area of Splines?

Total Area of Splines calculator uses 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) to calculate the Total Area of Splines, The Total Area of Splines formula is defined as the total area of the ridges or teeth on a drive shaft that mesh with grooves in a mating piece and transfer torque to it. Total Area of Splines is denoted by A symbol.

How to calculate Total Area of Splines using this online calculator? To use this online calculator for Total Area of Splines, enter Length of Hub on Keyed Shaft (l_h), Number of Splines (n), Major Diameter of Spline Key Shaft (D) & Minor Diameter of Spline Key Shaf (d) and hit the calculate button. Here is how the Total Area of Splines calculation can be explained with given input values -> 1.6E+9 = 0.5*(0.065*6)*(0.06-0.052).

FAQ

What is Total Area of Splines?

The Total Area of Splines formula is defined as the total area of the ridges or teeth on a drive shaft that mesh with grooves in a mating piece and transfer torque to it and is represented as A = 0.5*(l_h*n)*(D-d) or 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). Length of Hub on Keyed Shaft is equal to the length of a hub measured along its central axis, Number of Splines is the total number of splines on a shaft or any machine element, 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 Total Area of Splines?

The Total Area of Splines formula is defined as the total area of the ridges or teeth on a drive shaft that mesh with grooves in a mating piece and transfer torque to it is calculated using 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). To calculate Total Area of Splines, you need Length of Hub on Keyed Shaft (l_h), Number of Splines (n), 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 Length of Hub on Keyed Shaft, Number of Splines, 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 Total Area of Splines?

In this formula, Total Area of Splines uses Length of Hub on Keyed Shaft, Number of Splines, 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 -

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

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