Total Area of Splines given Torque Transmitting Capacity Calculator

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Design of Splines

Design of Brakes

Design of Chain Drives

Design of Flywheel

Design of Friction Clutches

Design of Shafts

Design of Springs

✖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.ⓘ Transmitted Torque by Keyed Shaft [M_t]			+10% -10%
✖Permissible Pressure on Splines measures the greatest amount of pressure that the splines can bear without failure.ⓘ Permissible Pressure on Splines [p_m]			+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 Spline of Shaft [R_m]			+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 given Torque Transmitting Capacity [A]

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Formula

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Total Area of Splines given Torque Transmitting Capacity

Formula

`"A" = "M"_{"t"}/("p"_{"m"}*"R"_{"m"})`

Example

`"1233.516mm²"="224500N*mm"/("6.5N/mm²"*"28mm")`

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Total Area of Splines given Torque Transmitting Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Area of Splines = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Mean Radius of Spline of Shaft)
A = M_t/(p_m*R_m)
This formula uses 4 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.
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.
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

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)
Mean Radius of Spline of Shaft: 28 Millimeter --> 0.028 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = M_t/(p_m*R_m) --> 224.5/(6500000*0.028)

Evaluating ... ...

A = 0.00123351648351648

STEP 3: Convert Result to Output's Unit

0.00123351648351648 Square Meter -->1233.51648351648 Square Millimeter (Check conversion here)

FINAL ANSWER

1233.51648351648 ≈ 1233.516 Square Millimeter <-- Total Area of Splines

(Calculation completed in 00.020 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

< 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 given Torque Transmitting Capacity Formula

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

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 Total Area of Splines given Torque Transmitting Capacity?

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

How to calculate Total Area of Splines given Torque Transmitting Capacity using this online calculator? To use this online calculator for Total Area of Splines given Torque Transmitting Capacity, enter Transmitted Torque by Keyed Shaft (M_t), Permissible Pressure on Splines (p_m) & Mean Radius of Spline of Shaft (R_m) and hit the calculate button. Here is how the Total Area of Splines given Torque Transmitting Capacity calculation can be explained with given input values -> 1.2E+9 = 224.5/(6500000*0.028).

FAQ

What is Total Area of Splines given Torque Transmitting Capacity?

The Total Area of Splines given Torque Transmitting Capacity formula is defined as total area of 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 = M_t/(p_m*R_m) or Total Area of Splines = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Mean Radius of Spline of Shaft). 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 & Mean Radius of Spline of Shaft is defined as half the average of major and minor diameter of the spline.

How to calculate Total Area of Splines given Torque Transmitting Capacity?

The Total Area of Splines given Torque Transmitting Capacity formula is defined as total area of 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 = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Mean Radius of Spline of Shaft). To calculate Total Area of Splines given Torque Transmitting Capacity, you need Transmitted Torque by Keyed Shaft (M_t), Permissible Pressure on Splines (p_m) & Mean Radius of Spline of Shaft (R_m). With our tool, you need to enter the respective value for Transmitted Torque by Keyed Shaft, Permissible Pressure on 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 Total Area of Splines?

In this formula, Total Area of Splines uses Transmitted Torque by Keyed Shaft, Permissible Pressure on Splines & Mean Radius of Spline of Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)
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)

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