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The Addendum Circle Diameter of Helical Gear is defined as a circle touching the outermost points of the teeth of a circular gear wheel. Check FAQs
da=mn⋅((zcos(ψ))+2)
da - Addendum Circle Diameter of Helical Gear?mn - Normal Module of Helical Gear?z - Number of Teeth on Helical Gear?ψ - Helix Angle of Helical Gear?

Addendum Circle Diameter of Gear Example

With values
With units
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Here is how the Addendum Circle Diameter of Gear equation looks like with Values.

Here is how the Addendum Circle Diameter of Gear equation looks like with Units.

Here is how the Addendum Circle Diameter of Gear equation looks like.

128.4749Edit=3Edit⋅((37Editcos(25Edit))+2)
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HomeIcon Home » Category Physics » Category Mechanical » Category Design of Machine Elements » fx Addendum Circle Diameter of Gear

Addendum Circle Diameter of Gear Solution

Follow our step by step solution on how to calculate Addendum Circle Diameter of Gear?

FIRST Step Consider the formula
da=mn⋅((zcos(ψ))+2)
Next Step Substitute values of Variables
∴ da=3mm⋅((37cos(25°))+2)
Next Step Convert Units
∴ da=0.003m⋅((37cos(0.4363rad))+2)
Next Step Prepare to Evaluate
∴ da=0.003⋅((37cos(0.4363))+2)
Next Step Evaluate
∴da=0.128474949004832m
Next Step Convert to Output's Unit
∴da=128.474949004832mm
LAST Step Rounding Answer
∴da=128.4749mm

Addendum Circle Diameter of Gear Formula Elements

Variables
Functions
Addendum Circle Diameter of Helical Gear
The Addendum Circle Diameter of Helical Gear is defined as a circle touching the outermost points of the teeth of a circular gear wheel.
Symbol: da
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Addendum Circle Diameter of Helical GearOpen Variable
Normal Module of Helical Gear
The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.
Symbol: mn
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Normal Module of Helical GearOpen Variable
Number of Teeth on Helical Gear
Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.
Symbol: z
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Teeth on Helical GearOpen Variable
Helix Angle of Helical Gear
Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.
Symbol: ψ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Helix Angle of Helical GearOpen Variable
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other Formulas to find Addendum Circle Diameter of Helical Gear

​Go Addendum Circle Diameter of Gear given Pitch Circle Diameter
da=2⋅ha+d

Other formulas in Core Design Parameters category

​Go Transverse Module of Helical Gear given Transverse Diametrical Pitch
m=1P
​Go Normal Module of Helical Gear
mn=m⋅cos(ψ)
​Go Transverse Module of Helical Gear given Normal Module
m=mncos(ψ)
​Go Pitch Circle Diameter of Helical Gear
d=z⋅mncos(ψ)

How to Evaluate Addendum Circle Diameter of Gear?

Addendum Circle Diameter of Gear evaluator uses Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2) to evaluate the Addendum Circle Diameter of Helical Gear, Addendum Circle Diameter of Gear formula is defined as a circle touching the outermost points of the teeth of a circular gear wheel. Addendum Circle Diameter of Helical Gear is denoted by da symbol.

How to evaluate Addendum Circle Diameter of Gear using this online evaluator? To use this online evaluator for Addendum Circle Diameter of Gear, enter Normal Module of Helical Gear (mn), Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ) and hit the calculate button.

FAQs on Addendum Circle Diameter of Gear

What is the formula to find Addendum Circle Diameter of Gear?
The formula of Addendum Circle Diameter of Gear is expressed as Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2). Here is an example- 128474.9 = 0.003*((37/cos(0.4363323129985))+2).
How to calculate Addendum Circle Diameter of Gear?
With Normal Module of Helical Gear (mn), Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ) we can find Addendum Circle Diameter of Gear using the formula - Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2). This formula also uses Cosine function(s).
What are the other ways to Calculate Addendum Circle Diameter of Helical Gear?
Here are the different ways to Calculate Addendum Circle Diameter of Helical Gear-
  • Addendum Circle Diameter of Helical Gear=2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical GearOpenImg
Can the Addendum Circle Diameter of Gear be negative?
No, the Addendum Circle Diameter of Gear, measured in Length cannot be negative.
Which unit is used to measure Addendum Circle Diameter of Gear?
Addendum Circle Diameter of Gear is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Addendum Circle Diameter of Gear can be measured.
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