Addendum Circle Diameter of Gear given Pitch Circle Diameter Calculator

✖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.ⓘ Diameter of Pitch Circle of Helical Gear [d]			+10% -10%

✖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 Gear given Pitch Circle Diameter [d_a]

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Formula

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Addendum Circle Diameter of Gear given Pitch Circle Diameter

Formula

d a = 2 \cdot h a + d

Example

126 mm = 2 \cdot 4 mm + 118 mm

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Addendum Circle Diameter of Gear given Pitch Circle Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Addendum Circle Diameter of Helical Gear = 2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical Gear
d_a = 2*h_a+d
This formula uses 3 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Addendum of Helical Gear: 4 Millimeter --> 0.004 Meter (Check conversion here)
Diameter of Pitch Circle of Helical Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_a = 2*h_a+d --> 2*0.004+0.118

Evaluating ... ...

d_a = 0.126

STEP 3: Convert Result to Output's Unit

0.126 Meter -->126 Millimeter (Check conversion here)

FINAL ANSWER

126 Millimeter <-- Addendum Circle Diameter 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

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

Go Transverse Module of Helical Gear = Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)

Normal Module of Helical Gear

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

Go Transverse Module of Helical Gear = 1/Transverse Diametrical Pitch of Helical Gear

Addendum Circle Diameter of Gear given Pitch Circle Diameter Formula

Addendum Circle Diameter of Helical Gear = 2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical Gear
d_a = 2*h_a+d

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 Addendum Circle Diameter of Gear given Pitch Circle Diameter?

Addendum Circle Diameter of Gear given Pitch Circle Diameter calculator uses Addendum Circle Diameter of Helical Gear = 2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical Gear to calculate the Addendum Circle Diameter of Helical Gear, Addendum Circle Diameter of Gear given Pitch Circle Diameter 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 d_a symbol.

How to calculate Addendum Circle Diameter of Gear given Pitch Circle Diameter using this online calculator? To use this online calculator for Addendum Circle Diameter of Gear given Pitch Circle Diameter, enter Addendum of Helical Gear (h_a) & Diameter of Pitch Circle of Helical Gear (d) and hit the calculate button. Here is how the Addendum Circle Diameter of Gear given Pitch Circle Diameter calculation can be explained with given input values -> 126000 = 2*0.004+0.118.

FAQ

What is Addendum Circle Diameter of Gear given Pitch Circle Diameter?

Addendum Circle Diameter of Gear given Pitch Circle Diameter formula is defined as a circle touching the outermost points of the teeth of a circular gear wheel and is represented as d_a = 2*h_a+d or Addendum Circle Diameter of Helical Gear = 2*Addendum of Helical Gear+Diameter of Pitch Circle 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 & 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.

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

Addendum Circle Diameter of Gear given Pitch Circle Diameter formula is defined as a circle touching the outermost points of the teeth of a circular gear wheel is calculated using Addendum Circle Diameter of Helical Gear = 2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical Gear. To calculate Addendum Circle Diameter of Gear given Pitch Circle Diameter, you need Addendum of Helical Gear (h_a) & Diameter of Pitch Circle of Helical Gear (d). With our tool, you need to enter the respective value for Addendum of Helical Gear & Diameter of Pitch Circle 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 Addendum Circle Diameter of Helical Gear?

In this formula, Addendum Circle Diameter of Helical Gear uses Addendum of Helical Gear & Diameter of Pitch Circle of Helical Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -

Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2)

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