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Mean Radius of Splines given Torque Transmitting Capacity Calculator

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✖The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.ⓘ Transmitted Torque by Keyed Shaft [M_t]			+10% -10%
✖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 Splines given Torque Transmitting Capacity [R_m]

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Mean Radius of Splines given Torque Transmitting Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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: 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_m = M_t/(p_m*A) --> 224.5/(5139652*0.00156)

Evaluating ... ...

R_m = 0.0280000000798218

STEP 3: Convert Result to Output's Unit

0.0280000000798218 Meter -->28.0000000798218 Millimeter (Check conversion here)

FINAL ANSWER

28.0000000798218 ≈ 28 Millimeter <-- Mean Radius of Spline of 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

Mean Radius of Splines given Torque Transmitting Capacity Formula

LaTeX Go

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

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 Mean Radius of Splines given Torque Transmitting Capacity?

Mean Radius of Splines given Torque Transmitting Capacity calculator uses Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines) to calculate the Mean Radius of Spline of Shaft, Mean Radius of Splines given Torque Transmitting Capacity formula is defined as a measure of the radius of a spline in a mechanical system, which is critical in determining the torque transmitting capacity of the spline, and is essential in the design of splines to ensure efficient power transmission and minimize failure. Mean Radius of Spline of Shaft is denoted by R_m symbol.

How to calculate Mean Radius of Splines given Torque Transmitting Capacity using this online calculator? To use this online calculator for Mean Radius of Splines given Torque Transmitting Capacity, enter Transmitted Torque by Keyed Shaft (M_t), Permissible Pressure on Splines (p_m) & Total Area of Splines (A) and hit the calculate button. Here is how the Mean Radius of Splines given Torque Transmitting Capacity calculation can be explained with given input values -> 22140.04 = 224.5/(5139652*0.00156).

FAQ

What is Mean Radius of Splines given Torque Transmitting Capacity?

Mean Radius of Splines given Torque Transmitting Capacity formula is defined as a measure of the radius of a spline in a mechanical system, which is critical in determining the torque transmitting capacity of the spline, and is essential in the design of splines to ensure efficient power transmission and minimize failure and is represented as R_m = M_t/(p_m*A) or Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines). The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems, 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.

How to calculate Mean Radius of Splines given Torque Transmitting Capacity?

Mean Radius of Splines given Torque Transmitting Capacity formula is defined as a measure of the radius of a spline in a mechanical system, which is critical in determining the torque transmitting capacity of the spline, and is essential in the design of splines to ensure efficient power transmission and minimize failure is calculated using Mean Radius of Spline of Shaft = Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Total Area of Splines). To calculate Mean Radius of Splines given Torque Transmitting Capacity, you need Transmitted Torque by Keyed Shaft (M_t), Permissible Pressure on Splines (p_m) & Total Area of Splines (A). With our tool, you need to enter the respective value for Transmitted Torque by Keyed Shaft, Permissible Pressure on Splines & Total Area of Splines 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 Mean Radius of Spline of Shaft?

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

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

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