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Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle. Check FAQs
d=da-2⋅ha
d - Diameter of Pitch Circle of Helical Gear?da - Addendum Circle Diameter of Helical Gear?ha - Addendum of Helical Gear?

Pitch Circle Diameter of Gear given Addendum Circle Diameter Example

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Here is how the Pitch Circle Diameter of Gear given Addendum Circle Diameter equation looks like with Values.

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

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

130Edit=138Edit-2⋅4Edit
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HomeIcon Home » Category Physics » Category Mechanical » Category Design of Machine Elements » fx Pitch Circle Diameter of Gear given Addendum Circle Diameter

Pitch Circle Diameter of Gear given Addendum Circle Diameter Solution

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

FIRST Step Consider the formula
d=da-2⋅ha
Next Step Substitute values of Variables
∴ d=138mm-2⋅4mm
Next Step Convert Units
∴ d=0.138m-2⋅0.004m
Next Step Prepare to Evaluate
∴ d=0.138-2⋅0.004
Next Step Evaluate
∴d=0.13m
LAST Step Convert to Output's Unit
∴d=130mm

Pitch Circle Diameter of Gear given Addendum Circle Diameter Formula Elements

Variables
Diameter of Pitch Circle of Helical Gear
Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
Symbol: d
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Diameter of Pitch Circle of Helical GearOpen Variable
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
Addendum of Helical Gear
The Addendum of Helical Gear is defined as the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line.
Symbol: ha
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Addendum of Helical GearOpen Variable

Other Formulas to find Diameter of Pitch Circle of Helical Gear

​Go Pitch Circle Diameter of Helical Gear
d=z⋅mncos(ψ)
​Go Pitch Circle Diameter of Gear given Radius of Curvature at Point
d=2⋅r'⋅(cos(ψ))2
​Go Pitch Circle Diameter of Gear given Dedendum Circle Diameter
d=df+2⋅dh

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 Number of Teeth on Gear given Pitch Circle Diameter
z=d⋅cos(ψ)mn

How to Evaluate Pitch Circle Diameter of Gear given Addendum Circle Diameter?

Pitch Circle Diameter of Gear given Addendum Circle Diameter evaluator uses Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear to evaluate the Diameter of Pitch Circle of Helical Gear, Pitch Circle Diameter of Gear given Addendum Circle Diameter formula is the diameter of the imaginary circle on the gear about which it may be supposed to roll without slipping with the pitch circle of another gear. The point of contact of the two pitch circles becomes the pitch point. Diameter of Pitch Circle of Helical Gear is denoted by d symbol.

How to evaluate Pitch Circle Diameter of Gear given Addendum Circle Diameter using this online evaluator? To use this online evaluator for Pitch Circle Diameter of Gear given Addendum Circle Diameter, enter Addendum Circle Diameter of Helical Gear (da) & Addendum of Helical Gear (ha) and hit the calculate button.

FAQs on Pitch Circle Diameter of Gear given Addendum Circle Diameter

What is the formula to find Pitch Circle Diameter of Gear given Addendum Circle Diameter?
The formula of Pitch Circle Diameter of Gear given Addendum Circle Diameter is expressed as Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear. Here is an example- 130000 = 0.138-2*0.004.
How to calculate Pitch Circle Diameter of Gear given Addendum Circle Diameter?
With Addendum Circle Diameter of Helical Gear (da) & Addendum of Helical Gear (ha) we can find Pitch Circle Diameter of Gear given Addendum Circle Diameter using the formula - Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear.
What are the other ways to Calculate Diameter of Pitch Circle of Helical Gear?
Here are the different ways to Calculate Diameter of Pitch Circle of Helical Gear-
  • Diameter of Pitch Circle of Helical Gear=Number of Teeth on Helical Gear*Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)OpenImg
  • Diameter of Pitch Circle of Helical Gear=2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2OpenImg
  • Diameter of Pitch Circle of Helical Gear=Dedendum Circle Diameter of Helical Gear+2*Dedendum of Helical GearOpenImg
Can the Pitch Circle Diameter of Gear given Addendum Circle Diameter be negative?
No, the Pitch Circle Diameter of Gear given Addendum Circle Diameter, measured in Length cannot be negative.
Which unit is used to measure Pitch Circle Diameter of Gear given Addendum Circle Diameter?
Pitch Circle Diameter of Gear given Addendum Circle Diameter is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch Circle Diameter of Gear given Addendum Circle Diameter can be measured.
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