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Torque Transmitting Capacity of Splines given Diameter of Splines Calculator

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✖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%
✖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 Shaft [d]			+10% -10%

✖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.ⓘ Torque Transmitting Capacity of Splines given Diameter of Splines [M_t]

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Torque Transmitting Capacity of Splines given Diameter of Splines Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmitted Torque By Keyed Shaft = (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 Shaft^2))/8
M_t = (p_m*l_h*n*(D^2-d^2))/8
This formula uses 6 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.
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 Shaft - (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

Permissible Pressure on Splines: 6.5 Newton per Square Millimeter --> 6500000 Pascal (Check conversion here)
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 Shaft: 52 Millimeter --> 0.052 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_t = (p_m*l_h*n*(D^2-d^2))/8 --> (6500000*0.065*6*(0.06^2-0.052^2))/8

Evaluating ... ...

M_t = 283.92

STEP 3: Convert Result to Output's Unit

283.92 Newton Meter -->283920 Newton Millimeter (Check conversion here)

FINAL ANSWER

283920 Newton Millimeter <-- Transmitted Torque By Keyed Shaft

(Calculation completed in 00.004 seconds)

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< Design of Splines Calculators

Mean Radius of Splines given Torque Transmitting Capacity

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

Mean Radius of Splines

LaTeX Go Mean Radius of Spline of Shaft = (Major Diameter of Spline Key Shaft+Minor Diameter of Spline Key Shaft)/4

Major Diameter of Spline given Mean Radius

LaTeX Go Major Diameter of Spline Key Shaft = 4*Mean Radius of Spline of Shaft-Minor Diameter of Spline Key Shaft

Minor Diameter of Spline given Mean Radius

LaTeX Go Minor Diameter of Spline Key Shaft = 4*Mean Radius of Spline of Shaft-Major Diameter of Spline Key Shaft

< Design of Splines Calculators

Total Area of Splines

LaTeX 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 Shaft)

Permissible Pressure on Splines given Torque Transmitting Capacity

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

Total Area of Splines given Torque Transmitting Capacity

LaTeX 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

LaTeX Go Transmitted Torque By Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft

Torque Transmitting Capacity of Splines given Diameter of Splines Formula

LaTeX Go

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 given Diameter of Splines?

Torque Transmitting Capacity of Splines given Diameter of Splines calculator uses Transmitted Torque By Keyed Shaft = (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 Shaft^2))/8 to calculate the Transmitted Torque By Keyed Shaft, Torque Transmitting Capacity of Splines given Diameter of Splines formula is defined as the maximum torque that can be transmitted by a spline without failing, which is a critical parameter in the design of splines, as it directly affects the performance and reliability of the mechanical system. Transmitted Torque By Keyed Shaft is denoted by M_t symbol.

How to calculate Torque Transmitting Capacity of Splines given Diameter of Splines using this online calculator? To use this online calculator for Torque Transmitting Capacity of Splines given Diameter of Splines, enter Permissible Pressure on Splines (p_m), Length of Hub on Keyed Shaft (l_h), Number of Splines (n), Major Diameter of Spline Key Shaft (D) & Minor Diameter of Spline Key Shaft (d) and hit the calculate button. Here is how the Torque Transmitting Capacity of Splines given Diameter of Splines calculation can be explained with given input values -> 2.8E+8 = (6500000*0.065*6*(0.06^2-0.052^2))/8.

FAQ

What is Torque Transmitting Capacity of Splines given Diameter of Splines?

Torque Transmitting Capacity of Splines given Diameter of Splines formula is defined as the maximum torque that can be transmitted by a spline without failing, which is a critical parameter in the design of splines, as it directly affects the performance and reliability of the mechanical system and is represented as M_t = (p_m*l_h*n*(D^2-d^2))/8 or Transmitted Torque By Keyed Shaft = (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 Shaft^2))/8. Permissible Pressure on Splines measures the greatest amount of pressure that the splines can bear without failure, 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 Torque Transmitting Capacity of Splines given Diameter of Splines?

Torque Transmitting Capacity of Splines given Diameter of Splines formula is defined as the maximum torque that can be transmitted by a spline without failing, which is a critical parameter in the design of splines, as it directly affects the performance and reliability of the mechanical system is calculated using Transmitted Torque By Keyed Shaft = (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 Shaft^2))/8. To calculate Torque Transmitting Capacity of Splines given Diameter of Splines, you need Permissible Pressure on Splines (p_m), Length of Hub on Keyed Shaft (l_h), Number of Splines (n), Major Diameter of Spline Key Shaft (D) & Minor Diameter of Spline Key Shaft (d). With our tool, you need to enter the respective value for Permissible Pressure on Splines, Length of Hub on Keyed Shaft, Number of Splines, Major Diameter of Spline Key Shaft & Minor Diameter of Spline Key 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, Length of Hub on Keyed Shaft, Number of Splines, Major Diameter of Spline Key Shaft & Minor Diameter of Spline Key Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

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*Mean Radius of Spline of Shaft

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