Cone Distance of Bevel Gear Calculator

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Design of Gears

Basics Of Machine Design

Design of Coupling

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Design of Bevel Gears

Design of Helical Gears

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✖Pitch circle diameter of bevel pinion is twice the distance from the centre of the gear to the pitch point. This is where the gear's speed is measured.ⓘ Pitch Circle Diameter of Bevel Pinion [D_p]			+10% -10%
✖The Pitch Circle Diameter of Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.ⓘ Pitch Circle Diameter of Gear [D_g]			+10% -10%

✖Cone distance is the length of the pitch-cone element and is also called the pitch-cone radius.ⓘ Cone Distance of Bevel Gear [A₀]

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Formula

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Cone Distance of Bevel Gear

Formula

`"A"_{"0"} = sqrt(("D"_{"p"}/2)^2+("D"_{"g"}/2)^2)`

Example

`"70.0206mm"=sqrt(("76.5mm"/2)^2+("117.3mm"/2)^2)`

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Download Design of Bevel Gears Formulas PDF

Cone Distance of Bevel Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2)
A₀ = sqrt((D_p/2)^2+(D_g/2)^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Cone Distance - (Measured in Meter) - Cone distance is the length of the pitch-cone element and is also called the pitch-cone radius.
Pitch Circle Diameter of Bevel Pinion - (Measured in Meter) - Pitch circle diameter of bevel pinion is twice the distance from the centre of the gear to the pitch point. This is where the gear's speed is measured.
Pitch Circle Diameter of Gear - (Measured in Meter) - The Pitch Circle Diameter of 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

Pitch Circle Diameter of Bevel Pinion: 76.5 Millimeter --> 0.0765 Meter (Check conversion here)
Pitch Circle Diameter of Gear: 117.3 Millimeter --> 0.1173 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A₀ = sqrt((D_p/2)^2+(D_g/2)^2) --> sqrt((0.0765/2)^2+(0.1173/2)^2)

Evaluating ... ...

A₀ = 0.0700206041105045

STEP 3: Convert Result to Output's Unit

0.0700206041105045 Meter -->70.0206041105045 Millimeter (Check conversion here)

FINAL ANSWER

70.0206041105045 ≈ 70.0206 Millimeter <-- Cone Distance

(Calculation completed in 00.004 seconds)

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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< 7 Geometric Properties Calculators

Radius of Pinion at Midpoint along Face Width for Bevel Gear

Go Radius of Pinion at Midpoint = (Pitch Circle Diameter of Bevel Pinion-(Face Width of Bevel Gear Tooth*sin(Pitch Angle for Bevel Gear)))/2

Actual Number of Teeth on Bevel Gear

Go Number of Teeth on Bevel Gear = Virtual Number of Teeth for Bevel Gear*cos(Pitch Angle for Bevel Gear)

Cone Distance of Bevel Gear

Go Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2)

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear

Go Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear

Geometric step ratio

Go Geometric step ratio = Range ratio in preferred Series^(1/(Quantity of product(Enter integer value only)-1))

Virtual or Formative Number of Teeth of Bevel Gear

Go Virtual Number of Teeth for Bevel Gear = (2*Back Cone Radius)/Module of Bevel Gear

Back Cone Radius of Bevel Gear

Go Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2

Cone Distance of Bevel Gear Formula

Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2)
A₀ = sqrt((D_p/2)^2+(D_g/2)^2)

What is cone distance ?

Cone distance in a bevel gear is the general term for the distance along an element of the pitch cone from the apex to any given position in the teeth.

How to Calculate Cone Distance of Bevel Gear?

Cone Distance of Bevel Gear calculator uses Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2) to calculate the Cone Distance, Cone distance of bevel gear is the general term for the distance along with an element of the pitch cone from the apex to any given position in the teeth. Outer cone distance in bevel gears is the distance from the apex of the pitch cone to the outer ends of the teeth. Cone Distance is denoted by A₀ symbol.

How to calculate Cone Distance of Bevel Gear using this online calculator? To use this online calculator for Cone Distance of Bevel Gear, enter Pitch Circle Diameter of Bevel Pinion (D_p) & Pitch Circle Diameter of Gear (D_g) and hit the calculate button. Here is how the Cone Distance of Bevel Gear calculation can be explained with given input values -> 70020.6 = sqrt((0.0765/2)^2+(0.1173/2)^2).

FAQ

What is Cone Distance of Bevel Gear?

Cone distance of bevel gear is the general term for the distance along with an element of the pitch cone from the apex to any given position in the teeth. Outer cone distance in bevel gears is the distance from the apex of the pitch cone to the outer ends of the teeth and is represented as A₀ = sqrt((D_p/2)^2+(D_g/2)^2) or Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2). Pitch circle diameter of bevel pinion is twice the distance from the centre of the gear to the pitch point. This is where the gear's speed is measured & The Pitch Circle Diameter of Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

How to calculate Cone Distance of Bevel Gear?

Cone distance of bevel gear is the general term for the distance along with an element of the pitch cone from the apex to any given position in the teeth. Outer cone distance in bevel gears is the distance from the apex of the pitch cone to the outer ends of the teeth is calculated using Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2). To calculate Cone Distance of Bevel Gear, you need Pitch Circle Diameter of Bevel Pinion (D_p) & Pitch Circle Diameter of Gear (D_g). With our tool, you need to enter the respective value for Pitch Circle Diameter of Bevel Pinion & Pitch Circle Diameter of 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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