Addendum of Gear given Addendum Circle Diameter Calculator

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Design of Gears

Basics Of Machine Design

Design of Coupling

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Design of Helical Gears

Design of Bevel Gears

Design of Spur Gears

Design of Worm Gears

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Core Design Parameters

Helix Geometry

✖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%
✖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 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 Gear given Addendum Circle Diameter [h_a]

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Formula

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Addendum of Gear given Addendum Circle Diameter

Formula

`"h"_{"a"} = ("d"_{"a"}-"d")/2`

Example

`"10mm"=("138mm"-"118mm")/2`

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Addendum of Gear given Addendum Circle Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Addendum of Helical Gear = (Addendum Circle Diameter of Helical Gear-Diameter of Pitch Circle of Helical Gear)/2
h_a = (d_a-d)/2
This formula uses 3 Variables

Variables Used

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.
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.
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 Circle Diameter of Helical Gear: 138 Millimeter --> 0.138 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

h_a = (d_a-d)/2 --> (0.138-0.118)/2

Evaluating ... ...

h_a = 0.01

STEP 3: Convert Result to Output's Unit

0.01 Meter -->10 Millimeter (Check conversion here)

FINAL ANSWER

10 Millimeter <-- Addendum of Helical Gear

(Calculation completed in 00.004 seconds)

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< 25 Core Design Parameters Calculators

Normal Module of Helical Gear given Center to Center Distance between Two Gears

Go Normal Module of Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)

Center to Center distance between Two Gears

Go Center to Center Distance of Helical Gears = Normal Module of Helical Gear*(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)/(2*cos(Helix Angle of Helical Gear))

Number of Teeth on Second Helical Gear given Center to Center Distance between Two Gears

Go Number of Teeth on 2nd Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/Normal Module of Helical Gear-Number of Teeth on 1st Helical Gear

Number of Teeth on First Gear given Center to Center Distance between Two Gears

Go Number of Teeth on 1st Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/Normal Module of Helical Gear-Number of Teeth on 2nd Helical Gear

Normal Module of Helical Gear given Virtual Number of Teeth

Go Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear/Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2)

Addendum Circle Diameter of Gear

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

Normal Module of Helical Gear given Addendum Circle Diameter

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

Number of Teeth on Gear given Addendum Circle Diameter

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

Normal Module of Helical Gear given Pitch Circle Diameter

Go Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Number of Teeth on Helical Gear

Number of Teeth on Gear given Pitch Circle Diameter

Go Number of Teeth on Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear

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)

Virtual Number of Teeth on Helical Gear

Go Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear

Pitch Circle Diameter of Gear given Radius of Curvature at Point

Go Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2

Virtual Number of Teeth on Helical Gear given Actual Number of Teeth

Go Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3

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)

Addendum of Gear given Addendum Circle Diameter

Go Addendum of Helical Gear = (Addendum Circle Diameter of Helical Gear-Diameter of Pitch Circle of Helical Gear)/2

Addendum Circle Diameter of Gear given Pitch Circle Diameter

Go Addendum Circle Diameter of Helical Gear = 2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical Gear

Pitch Circle Diameter of Gear given Addendum Circle Diameter

Go Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear

Number of Teeth on Helical Gear given Speed Ratio for Helical Gears

Go Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio

Number of Teeth on Pinion given Speed Ratio

Go Number of Teeth on Helical Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio

Angular Velocity of Pinion given Speed Ratio

Go Speed of Pinion Helical Gear = Helical Gear Speed Ratio*Speed of Helical Gear

Angular Velocity of Gear given Speed Ratio

Go Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio

Speed Ratio for Helical Gears

Go Helical Gear Speed Ratio = Speed of Pinion Helical Gear/Speed 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 of Gear given Addendum Circle Diameter Formula

Addendum of Helical Gear = (Addendum Circle Diameter of Helical Gear-Diameter of Pitch Circle of Helical Gear)/2
h_a = (d_a-d)/2

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 of Gear given Addendum Circle Diameter?

Addendum of Gear given Addendum Circle Diameter calculator uses Addendum of Helical Gear = (Addendum Circle Diameter of Helical Gear-Diameter of Pitch Circle of Helical Gear)/2 to calculate the Addendum of Helical Gear, Addendum of Gear given Addendum Circle Diameter formula 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 is denoted by h_a symbol.

How to calculate Addendum of Gear given Addendum Circle Diameter using this online calculator? To use this online calculator for Addendum of Gear given Addendum Circle Diameter, enter Addendum Circle Diameter of Helical Gear (d_a) & Diameter of Pitch Circle of Helical Gear (d) and hit the calculate button. Here is how the Addendum of Gear given Addendum Circle Diameter calculation can be explained with given input values -> 10000 = (0.138-0.118)/2.

FAQ

What is Addendum of Gear given Addendum Circle Diameter?

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

Addendum of Gear given Addendum Circle Diameter formula 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 is calculated using Addendum of Helical Gear = (Addendum Circle Diameter of Helical Gear-Diameter of Pitch Circle of Helical Gear)/2. To calculate Addendum of Gear given Addendum Circle Diameter, you need Addendum Circle Diameter of Helical Gear (d_a) & Diameter of Pitch Circle of Helical Gear (d). With our tool, you need to enter the respective value for Addendum Circle Diameter 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.

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