Pitch Circle Diameter of Gear given Addendum Circle Diameter Calculator

✖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 Circle Diameter of Helical Gear [d_a]			+10% -10%
✖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.ⓘ Addendum of Helical Gear [h_a]			+10% -10%

✖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.ⓘ Pitch Circle Diameter of Gear given Addendum Circle Diameter [d]

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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 = d_a-2*h_a
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 = d_a-2*h_a --> 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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Osmania University (OU), Hyderabad

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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 = d_a-2*h_a

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 (d_a) & Addendum of Helical Gear (h_a) 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 = d_a-2*h_a 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 (d_a) & Addendum of Helical Gear (h_a). 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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