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Total Area 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 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 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 given Torque Transmitting Capacity [A]

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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) - 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.
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.
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

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)
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/(5139652*0.028)

Evaluating ... ...

A = 0.00156000000444722

STEP 3: Convert Result to Output's Unit

0.00156000000444722 Square Meter -->1560.00000444722 Square Millimeter (Check conversion here)

FINAL ANSWER

1560.00000444722 ≈ 1560 Square Millimeter <-- Total Area of Splines

(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

Total Area of Splines given Torque Transmitting Capacity Formula

LaTeX Go

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, Total Area of Splines given Torque Transmitting Capacity formula is defined as a measure of the surface area of splines that can transmit a certain amount of torque, which is critical in design applications where rotational motion is involved, such as in gear systems and power transmission mechanisms. 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/(5139652*0.028).

FAQ

What is Total Area of Splines given Torque Transmitting Capacity?

Total Area of Splines given Torque Transmitting Capacity formula is defined as a measure of the surface area of splines that can transmit a certain amount of torque, which is critical in design applications where rotational motion is involved, such as in gear systems and power transmission mechanisms 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). 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 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 Total Area of Splines given Torque Transmitting Capacity?

Total Area of Splines given Torque Transmitting Capacity formula is defined as a measure of the surface area of splines that can transmit a certain amount of torque, which is critical in design applications where rotational motion is involved, such as in gear systems and power transmission mechanisms 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 Shaft)
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)

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