Dedendum Circle Diameter of Gear given Pitch Circle Diameter Calculator

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Design of Gears

Basics Of Machine Design

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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

✖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%
✖Dedendum of Helical Gear is defined as the radial distance from the pitch circle of a toothed wheel or a gear to the bottom of the tooth space or groove.ⓘ Dedendum of Helical Gear [d_h]			+10% -10%

✖The Dedendum Circle Diameter of Helical Gear is the diameter of a circle touching the root of the gear teeth.ⓘ Dedendum Circle Diameter of Gear given Pitch Circle Diameter [d_f]

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Formula

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Dedendum Circle Diameter of Gear given Pitch Circle Diameter

Formula

`"d"_{"f"} = "d"-2*"d"_{"h"}`

Example

`"108mm"="118mm"-2*"5mm"`

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Download Design of Helical Gears Formulas PDF

Dedendum Circle Diameter of Gear given Pitch Circle Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dedendum Circle Diameter of Helical Gear = Diameter of Pitch Circle of Helical Gear-2*Dedendum of Helical Gear
d_f = d-2*d_h
This formula uses 3 Variables

Variables Used

Dedendum Circle Diameter of Helical Gear - (Measured in Meter) - The Dedendum Circle Diameter of Helical Gear is the diameter of a circle touching the root of the gear teeth.
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.
Dedendum of Helical Gear - (Measured in Meter) - Dedendum of Helical Gear is defined as the radial distance from the pitch circle of a toothed wheel or a gear to the bottom of the tooth space or groove.

STEP 1: Convert Input(s) to Base Unit

Diameter of Pitch Circle of Helical Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)
Dedendum of Helical Gear: 5 Millimeter --> 0.005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = d-2*d_h --> 0.118-2*0.005

Evaluating ... ...

d_f = 0.108

STEP 3: Convert Result to Output's Unit

0.108 Meter -->108 Millimeter (Check conversion here)

FINAL ANSWER

108 Millimeter <-- Dedendum Circle Diameter of Helical Gear

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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

Dedendum Circle Diameter of Gear given Pitch Circle Diameter Formula

Dedendum Circle Diameter of Helical Gear = Diameter of Pitch Circle of Helical Gear-2*Dedendum of Helical Gear
d_f = d-2*d_h

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 Dedendum Circle Diameter of Gear given Pitch Circle Diameter?

Dedendum Circle Diameter of Gear given Pitch Circle Diameter calculator uses Dedendum Circle Diameter of Helical Gear = Diameter of Pitch Circle of Helical Gear-2*Dedendum of Helical Gear to calculate the Dedendum Circle Diameter of Helical Gear, Dedendum Circle Diameter of Gear given Pitch Circle Diameter formula is defined as the diameter of the imaginary circle touching the gear teeth and its center is at the gear's center. Dedendum Circle Diameter of Helical Gear is denoted by d_f symbol.

How to calculate Dedendum Circle Diameter of Gear given Pitch Circle Diameter using this online calculator? To use this online calculator for Dedendum Circle Diameter of Gear given Pitch Circle Diameter, enter Diameter of Pitch Circle of Helical Gear (d) & Dedendum of Helical Gear (d_h) and hit the calculate button. Here is how the Dedendum Circle Diameter of Gear given Pitch Circle Diameter calculation can be explained with given input values -> 108000 = 0.118-2*0.005.

FAQ

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

Dedendum Circle Diameter of Gear given Pitch Circle Diameter formula is defined as the diameter of the imaginary circle touching the gear teeth and its center is at the gear's center and is represented as d_f = d-2*d_h or Dedendum Circle Diameter of Helical Gear = Diameter of Pitch Circle of Helical Gear-2*Dedendum of Helical Gear. 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 & Dedendum of Helical Gear is defined as the radial distance from the pitch circle of a toothed wheel or a gear to the bottom of the tooth space or groove.

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

Dedendum Circle Diameter of Gear given Pitch Circle Diameter formula is defined as the diameter of the imaginary circle touching the gear teeth and its center is at the gear's center is calculated using Dedendum Circle Diameter of Helical Gear = Diameter of Pitch Circle of Helical Gear-2*Dedendum of Helical Gear. To calculate Dedendum Circle Diameter of Gear given Pitch Circle Diameter, you need Diameter of Pitch Circle of Helical Gear (d) & Dedendum of Helical Gear (d_h). With our tool, you need to enter the respective value for Diameter of Pitch Circle of Helical Gear & Dedendum 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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