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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. 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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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
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.
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
The Length of Hub on Keyed Shaft is the measurement of the hub section on a keyed shaft, crucial for ensuring proper fit and function in mechanical assemblies.
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
The Number of Splines is the total count of helical grooves or ridges on a shaft, which helps in transmitting torque and ensuring proper alignment in mechanical designs.
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 largest diameter of the key shaft, crucial for ensuring proper fit and function within mechanical assemblies.
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
The Minor Diameter of Spline Key Shaft is the smallest diameter of the shaft where the spline fits, ensuring proper engagement and torque transmission in mechanical applications.
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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