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Torque Transmitting Capacity 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 Total Area of Splines is the combined surface area of all spline features in a mechanical design, crucial for ensuring proper fit and function in key applications.ⓘ Total Area of Splines [A]			+10% -10%
✖The Mean Radius of Spline of Shaft is the average distance from the center of the shaft to the spline surface, influencing the fit and performance of mechanical components.ⓘ Mean Radius of Spline of Shaft [R_m]			+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 [M_t]

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Torque Transmitting Capacity of Splines Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmitted Torque by Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft
M_t = p_m*A*R_m
This formula uses 4 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.
Total Area of Splines - (Measured in Square Meter) - The Total Area of Splines is the combined surface area of all spline features in a mechanical design, crucial for ensuring proper fit and function in key applications.
Mean Radius of Spline of Shaft - (Measured in Meter) - The Mean Radius of Spline of Shaft is the average distance from the center of the shaft to the spline surface, influencing the fit and performance of mechanical components.

STEP 1: Convert Input(s) to Base Unit

Permissible Pressure on Splines: 5.139652 Newton per Square Millimeter --> 5139652 Pascal (Check conversion here)
Total Area of Splines: 1560 Square Millimeter --> 0.00156 Square Meter (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

M_t = p_m*A*R_m --> 5139652*0.00156*0.028

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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Osmania University (OU), Hyderabad

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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 Formula

LaTeX Go

Transmitted Torque by Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft
M_t = p_m*A*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 Torque Transmitting Capacity of Splines?

Torque Transmitting Capacity of Splines calculator uses Transmitted Torque by Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft to calculate the Transmitted Torque by Keyed Shaft, Torque Transmitting Capacity 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 using this online calculator? To use this online calculator for Torque Transmitting Capacity of Splines, enter Permissible Pressure on Splines (p_m), Total Area of Splines (A) & Mean Radius of Spline of Shaft (R_m) and hit the calculate button. Here is how the Torque Transmitting Capacity of Splines calculation can be explained with given input values -> 2.8E+8 = 5139652*0.00156*0.028.

FAQ

What is Torque Transmitting Capacity of Splines?

Torque Transmitting Capacity 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*A*R_m or Transmitted Torque by Keyed Shaft = Permissible Pressure on Splines*Total Area of Splines*Mean Radius of Spline of Shaft. 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 Total Area of Splines is the combined surface area of all spline features in a mechanical design, crucial for ensuring proper fit and function in key applications & The Mean Radius of Spline of Shaft is the average distance from the center of the shaft to the spline surface, influencing the fit and performance of mechanical components.

How to calculate Torque Transmitting Capacity of Splines?

Torque Transmitting Capacity 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*Total Area of Splines*Mean Radius of Spline of Shaft. To calculate Torque Transmitting Capacity of Splines, you need Permissible Pressure on Splines (p_m), Total Area of Splines (A) & Mean Radius of Spline of Shaft (R_m). With our tool, you need to enter the respective value for Permissible Pressure on Splines, Total Area of 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 Transmitted Torque by Keyed Shaft?

In this formula, Transmitted Torque by Keyed Shaft uses Permissible Pressure on Splines, Total Area of Splines & Mean Radius of Spline of 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*Length of Hub on Keyed Shaft*Number of Splines*(Major Diameter of Spline Key Shaft^2-Minor Diameter of Spline Key Shaft^2))/8
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

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