Pitch Circle Diameter of Gear given Dedendum Circle Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Pitch Circle of Helical Gear = Dedendum Circle Diameter of Helical Gear+2*Dedendum of Helical Gear
d = df+2*dh
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.
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.
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
Dedendum Circle Diameter of Helical Gear: 126 Millimeter --> 0.126 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 = df+2*dh --> 0.126+2*0.005
Evaluating ... ...
d = 0.136
STEP 3: Convert Result to Output's Unit
0.136 Meter -->136 Millimeter (Check conversion here)
FINAL ANSWER
136 Millimeter <-- Diameter of Pitch Circle 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

Pitch Circle Diameter of Gear given Dedendum Circle Diameter Formula

Diameter of Pitch Circle of Helical Gear = Dedendum Circle Diameter of Helical Gear+2*Dedendum of Helical Gear
d = df+2*dh

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 Dedendum Circle Diameter?

Pitch Circle Diameter of Gear given Dedendum Circle Diameter calculator uses Diameter of Pitch Circle of Helical Gear = Dedendum Circle Diameter of Helical Gear+2*Dedendum of Helical Gear to calculate the Diameter of Pitch Circle of Helical Gear, Pitch Circle Diameter of Gear given Dedendum 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 Dedendum Circle Diameter using this online calculator? To use this online calculator for Pitch Circle Diameter of Gear given Dedendum Circle Diameter, enter Dedendum Circle Diameter of Helical Gear (df) & Dedendum of Helical Gear (dh) and hit the calculate button. Here is how the Pitch Circle Diameter of Gear given Dedendum Circle Diameter calculation can be explained with given input values -> 136000 = 0.126+2*0.005.

FAQ

What is Pitch Circle Diameter of Gear given Dedendum Circle Diameter?
Pitch Circle Diameter of Gear given Dedendum 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 = df+2*dh or Diameter of Pitch Circle of Helical Gear = Dedendum Circle Diameter of Helical Gear+2*Dedendum of Helical Gear. The Dedendum Circle Diameter of Helical Gear is the diameter of a circle touching the root of the gear teeth & 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 Pitch Circle Diameter of Gear given Dedendum Circle Diameter?
Pitch Circle Diameter of Gear given Dedendum 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 = Dedendum Circle Diameter of Helical Gear+2*Dedendum of Helical Gear. To calculate Pitch Circle Diameter of Gear given Dedendum Circle Diameter, you need Dedendum Circle Diameter of Helical Gear (df) & Dedendum of Helical Gear (dh). With our tool, you need to enter the respective value for Dedendum Circle Diameter 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.
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 Dedendum Circle Diameter of Helical Gear & Dedendum 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 = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear
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