Addendum Circle Diameter of Gear Calculator

✖The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.ⓘ Normal Module of Helical Gear [m_n]			+10% -10%
✖Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.ⓘ Number of Teeth on Helical Gear [z]			+10% -10%
✖Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle of Helical Gear [ψ]			+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 [d_a]

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Addendum Circle Diameter of Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2)
d_a = m_n*((z/cos(ψ))+2)
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

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.
Normal Module of Helical Gear - (Measured in Meter) - The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.
Number of Teeth on Helical Gear - Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.
Helix Angle of Helical Gear - (Measured in Radian) - Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

STEP 1: Convert Input(s) to Base Unit

Normal Module of Helical Gear: 3 Millimeter --> 0.003 Meter (Check conversion here)
Number of Teeth on Helical Gear: 37 --> No Conversion Required
Helix Angle of Helical Gear: 25 Degree --> 0.4363323129985 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_a = m_n*((z/cos(ψ))+2) --> 0.003*((37/cos(0.4363323129985))+2)

Evaluating ... ...

d_a = 0.128474949004832

STEP 3: Convert Result to Output's Unit

0.128474949004832 Meter -->128.474949004832 Millimeter (Check conversion here)

FINAL ANSWER

128.474949004832 ≈ 128.4749 Millimeter <-- Addendum Circle Diameter of Helical Gear

(Calculation completed in 00.005 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Mechanical » Core Design Parameters » Addendum Circle Diameter of Gear

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Created by Kethavath Srinath

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

Addendum Circle Diameter of Gear Formula

LaTeX 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)
d_a = m_n*((z/cos(ψ))+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 Circle Diameter of Gear?

Addendum Circle Diameter of Gear calculator uses Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2) to calculate the Addendum Circle Diameter of Helical Gear, Addendum Circle Diameter of Gear 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 using this online calculator? To use this online calculator for Addendum Circle Diameter of Gear, enter Normal Module of Helical Gear (m_n), Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Addendum Circle Diameter of Gear calculation can be explained with given input values -> 128474.9 = 0.003*((37/cos(0.4363323129985))+2).

FAQ

What is Addendum Circle Diameter of Gear?

Addendum Circle Diameter of Gear formula is defined as a circle touching the outermost points of the teeth of a circular gear wheel and is represented as d_a = m_n*((z/cos(ψ))+2) or Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2). The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear, Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration & Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

How to calculate Addendum Circle Diameter of Gear?

Addendum Circle Diameter of Gear 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 = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2). To calculate Addendum Circle Diameter of Gear, you need Normal Module of Helical Gear (m_n), Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Normal Module of Helical Gear, Number of Teeth on Helical Gear & Helix Angle 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 Normal Module of Helical Gear, Number of Teeth on Helical Gear & Helix Angle 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 = 2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical Gear

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