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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. Check FAQs
A=0.5⋅(lh⋅n)⋅(D-d)
A - Total Area of Splines?lh - Length of Hub on Keyed Shaft?n - Number of Splines?D - Major Diameter of Spline Key Shaft?d - Minor Diameter of Spline Key Shaft?

Total Area of Splines Example

With values
With units
Only example

Here is how the Total Area of Splines equation looks like with Values.

Here is how the Total Area of Splines equation looks like with Units.

Here is how the Total Area of Splines equation looks like.

1560Edit=0.5⋅(65Edit⋅6Edit)⋅(60Edit-52Edit)
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HomeIcon Home » Category Physics » Category Mechanical » Category Design of Automobile Elements » fx Total Area of Splines

Total Area of Splines Solution

Follow our step by step solution on how to calculate Total Area of Splines?

FIRST Step Consider the formula
A=0.5⋅(lh⋅n)⋅(D-d)
Next Step Substitute values of Variables
∴ A=0.5⋅(65mm⋅6)⋅(60mm-52mm)
Next Step Convert Units
∴ A=0.5⋅(0.065m⋅6)⋅(0.06m-0.052m)
Next Step Prepare to Evaluate
∴ A=0.5⋅(0.065⋅6)⋅(0.06-0.052)
Next Step Evaluate
∴A=0.00156m²
LAST Step Convert to Output's Unit
∴A=1560mm²

Total Area of Splines Formula Elements

Variables
Total Area of Splines
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.
Symbol: A
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Formulas to find Total Area of SplinesOpen Variable
Length of Hub on Keyed Shaft
Length of Hub on Keyed Shaft is equal to the length of a hub measured along its central axis.
Symbol: lh
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Length of Hub on Keyed ShaftOpen Variable
Number of Splines
Number of Splines is the total number of splines on a shaft or any machine element.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of SplinesOpen Variable
Major Diameter of Spline Key Shaft
The Major Diameter of Spline Key Shaft is the outside diameter of the external surface of a spline.
Symbol: D
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Major Diameter of Spline Key ShaftOpen Variable
Minor Diameter of Spline Key Shaft
Minor Diameter of Spline Key Shaft is the innermost surface of the spline. It is the tip diameter of the internal spline or the root diameter of the external spline.
Symbol: d
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Minor Diameter of Spline Key ShaftOpen Variable

Other Formulas to find Total Area of Splines

​Go Total Area of Splines given Torque Transmitting Capacity
A=Mtpm⋅Rm

Other formulas in Design of Splines category

​Go Torque Transmitting Capacity of Splines
Mt=pm⋅A⋅Rm
​Go Permissible Pressure on Splines given Torque Transmitting Capacity
pm=MtA⋅Rm
​Go Mean Radius of Splines given Torque Transmitting Capacity
Rm=Mtpm⋅A
​Go Mean Radius of Splines
Rm=D+d4

How to Evaluate Total Area of Splines?

Total Area of Splines evaluator uses 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) to evaluate the Total Area of Splines, Total Area of Splines formula is defined as the measure of the total surface area of a spline, which is a critical component in mechanical engineering, particularly in the design of shafts and gears, where it plays a crucial role in determining the overall performance and efficiency of the system. Total Area of Splines is denoted by A symbol.

How to evaluate Total Area of Splines using this online evaluator? To use this online evaluator for Total Area of Splines, enter Length of Hub on Keyed Shaft (lh), Number of Splines (n), Major Diameter of Spline Key Shaft (D) & Minor Diameter of Spline Key Shaft (d) and hit the calculate button.

FAQs on Total Area of Splines

What is the formula to find Total Area of Splines?
The formula of Total Area of Splines is expressed as 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). Here is an example- 1.6E+9 = 0.5*(0.065*6)*(0.06-0.052).
How to calculate Total Area of Splines?
With Length of Hub on Keyed Shaft (lh), Number of Splines (n), Major Diameter of Spline Key Shaft (D) & Minor Diameter of Spline Key Shaft (d) we can find Total Area of Splines using the formula - 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).
What are the other ways to Calculate Total Area of Splines?
Here are the different ways to Calculate Total Area of Splines-
  • Total Area of Splines=Transmitted Torque by Keyed Shaft/(Permissible Pressure on Splines*Mean Radius of Spline of Shaft)OpenImg
Can the Total Area of Splines be negative?
No, the Total Area of Splines, measured in Area cannot be negative.
Which unit is used to measure Total Area of Splines?
Total Area of Splines is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Total Area of Splines can be measured.
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