Pitch Circle Diameter of Gear given Addendum Circle Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear
d = da-2*ha
This formula uses 3 Variables
Variables Used
Diameter of Pitch Circle of Helical Gear - (Measured in Meter) - 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.
Addendum Circle Diameter of Helical Gear - (Measured in Meter) - The Addendum Circle Diameter of Helical Gear is defined as a circle touching the outermost points of the teeth of a circular gear wheel.
Addendum of Helical Gear - (Measured in Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Addendum Circle Diameter of Helical Gear: 138 Millimeter --> 0.138 Meter (Check conversion ​here)
Addendum of Helical Gear: 4 Millimeter --> 0.004 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = da-2*ha --> 0.138-2*0.004
Evaluating ... ...
d = 0.13
STEP 3: Convert Result to Output's Unit
0.13 Meter -->130 Millimeter (Check conversion ​here)
FINAL ANSWER
130 Millimeter <-- Diameter of Pitch Circle of Helical Gear
(Calculation completed in 00.004 seconds)

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Core Design Parameters Calculators

Pitch Circle Diameter of Helical Gear
​ LaTeX ​ Go Diameter of Pitch Circle of Helical Gear = Number of Teeth on Helical Gear*Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)
Transverse Module of Helical Gear given Normal Module
​ LaTeX ​ Go Transverse Module of Helical Gear = Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)
Normal Module of Helical Gear
​ LaTeX ​ Go Normal Module of Helical Gear = Transverse Module of Helical Gear*cos(Helix Angle of Helical Gear)
Transverse Module of Helical Gear given Transverse Diametrical Pitch
​ LaTeX ​ Go Transverse Module of Helical Gear = 1/Transverse Diametrical Pitch of Helical Gear

Pitch Circle Diameter of Gear given Addendum Circle Diameter Formula

​LaTeX ​Go
Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear
d = da-2*ha

Define Helical Gears

A helical gear has a cylindrical pitch surface and teeth that follow a helix on the pitch cylinder. External helical gears have teeth that project outwards, whereas internal helical gears have teeth that project inwards.

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

Pitch Circle Diameter of Gear given Addendum Circle Diameter calculator uses Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear to calculate 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 calculate Pitch Circle Diameter of Gear given Addendum Circle Diameter using this online calculator? To use this online calculator 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. Here is how the Pitch Circle Diameter of Gear given Addendum Circle Diameter calculation can be explained with given input values -> 130000 = 0.138-2*0.004.

FAQ

What is Pitch Circle Diameter of Gear given Addendum Circle Diameter?
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 and is represented as d = da-2*ha or Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum 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 & 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.
How to calculate Pitch Circle Diameter of Gear given Addendum Circle Diameter?
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 is calculated using Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear. To calculate Pitch Circle Diameter of Gear given Addendum Circle Diameter, you need Addendum Circle Diameter of Helical Gear (da) & Addendum of Helical Gear (ha). With our tool, you need to enter the respective value for Addendum Circle Diameter of Helical Gear & Addendum of Helical Gear 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 Diameter of Pitch Circle of Helical Gear?
In this formula, Diameter of Pitch Circle of Helical Gear uses Addendum Circle Diameter of Helical Gear & Addendum of Helical Gear. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Pitch Circle of Helical Gear = Number of Teeth on Helical Gear*Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)
  • Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2
  • Diameter of Pitch Circle of Helical Gear = Dedendum Circle Diameter of Helical Gear+2*Dedendum of Helical Gear
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