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 = Mt/(pm*Rm)
This formula uses 4 Variables
Variables Used
Total Area of Splines - (Measured in Square Meter) - Total Area of Splines is defined as the total area of ridges or teeth on a drive shaft that mesh with grooves in a mating piece and transfer torque to it.
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.
Mean Radius of Spline of Shaft - (Measured in Meter) - Mean Radius of Spline of Shaft is defined as half the average of major and minor diameter of the spline.
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: 6.5 Newton per Square Millimeter --> 6500000 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 = Mt/(pm*Rm) --> 224.5/(6500000*0.028)
Evaluating ... ...
A = 0.00123351648351648
STEP 3: Convert Result to Output's Unit
0.00123351648351648 Square Meter -->1233.51648351648 Square Millimeter (Check conversion ​here)
FINAL ANSWER
1233.51648351648 1233.516 Square Millimeter <-- Total Area of Splines
(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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 = Mt/(pm*Rm)

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 (Mt), Permissible Pressure on Splines (pm) & Mean Radius of Spline of Shaft (Rm) 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/(6500000*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 = Mt/(pm*Rm) or Total Area of Splines = Transmitted Torque By Keyed Shaft/(Permissible Pressure on Splines*Mean Radius of Spline of Shaft). 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 measures the greatest amount of pressure that the splines can bear without failure & Mean Radius of Spline of Shaft is defined as half the average of major and minor diameter of the spline.
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 (Mt), Permissible Pressure on Splines (pm) & Mean Radius of Spline of Shaft (Rm). 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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