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Torque Transmitting Capacity of Splines given Diameter of Splines Calculator

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✖The Permissible Pressure on Splines is the maximum pressure that can be safely applied to splines in mechanical designs without causing failure or damage.ⓘ Permissible Pressure on Splines [p_m]			+10% -10%
✖The Length of Hub on Keyed Shaft is the measurement of the hub section on a keyed shaft, crucial for ensuring proper fit and function in mechanical assemblies.ⓘ Length of Hub on Keyed Shaft [l_h]			+10% -10%
✖The Number of Splines is the total count of helical grooves or ridges on a shaft, which helps in transmitting torque and ensuring proper alignment in mechanical designs.ⓘ Number of Splines [n]			+10% -10%
✖The Major Diameter of Spline Key Shaft is the largest diameter of the key shaft, crucial for ensuring proper fit and function within mechanical assemblies.ⓘ Major Diameter of Spline Key Shaft [D]			+10% -10%
✖The Minor Diameter of Spline Key Shaft is the smallest diameter of the shaft where the spline fits, ensuring proper engagement and torque transmission in mechanical applications.ⓘ Minor Diameter of Spline Key Shaft [d]			+10% -10%

✖The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.ⓘ 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) - The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.
Permissible Pressure on Splines - (Measured in Pascal) - The Permissible Pressure on Splines is the maximum pressure that can be safely applied to splines in mechanical designs without causing failure or damage.
Length of Hub on Keyed Shaft - (Measured in Meter) - The Length of Hub on Keyed Shaft is the measurement of the hub section on a keyed shaft, crucial for ensuring proper fit and function in mechanical assemblies.
Number of Splines - The Number of Splines is the total count of helical grooves or ridges on a shaft, which helps in transmitting torque and ensuring proper alignment in mechanical designs.
Major Diameter of Spline Key Shaft - (Measured in Meter) - The Major Diameter of Spline Key Shaft is the largest diameter of the key shaft, crucial for ensuring proper fit and function within mechanical assemblies.
Minor Diameter of Spline Key Shaft - (Measured in Meter) - The Minor Diameter of Spline Key Shaft is the smallest diameter of the shaft where the spline fits, ensuring proper engagement and torque transmission in mechanical applications.

STEP 1: Convert Input(s) to Base Unit

Permissible Pressure on Splines: 5.139652 Newton per Square Millimeter --> 5139652 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 --> (5139652*0.065*6*(0.06^2-0.052^2))/8

Evaluating ... ...

M_t = 224.49999936

STEP 3: Convert Result to Output's Unit

224.49999936 Newton Meter -->224499.99936 Newton Millimeter (Check conversion here)

FINAL ANSWER

224499.99936 ≈ 224500 Newton Millimeter <-- Transmitted Torque by Keyed Shaft

(Calculation completed in 00.020 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 = (5139652*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. The Permissible Pressure on Splines is the maximum pressure that can be safely applied to splines in mechanical designs without causing failure or damage, The Length of Hub on Keyed Shaft is the measurement of the hub section on a keyed shaft, crucial for ensuring proper fit and function in mechanical assemblies, The Number of Splines is the total count of helical grooves or ridges on a shaft, which helps in transmitting torque and ensuring proper alignment in mechanical designs, The Major Diameter of Spline Key Shaft is the largest diameter of the key shaft, crucial for ensuring proper fit and function within mechanical assemblies & The Minor Diameter of Spline Key Shaft is the smallest diameter of the shaft where the spline fits, ensuring proper engagement and torque transmission in mechanical applications.

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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