Back Cone Radius 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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✖Module of bevel gear is the unit of size that indicates how big or small is a bevel gear.ⓘ Module of Bevel Gear [m]			+10% -10%
✖Virtual Number of Teeth for Bevel Gear is imaginary spur gear teeth that are considered in a plane perpendicular to the tooth at the large end.ⓘ Virtual Number of Teeth for Bevel Gear [z^']			+10% -10%

✖Back cone radius is also called as back cone distance. It is length of back cone element.ⓘ Back Cone Radius of Bevel Gear [r_b]

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Formula

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Back Cone Radius of Bevel Gear

Formula

`"r"_{"b"} = ("m"*"z"^{"'"})/2`

Example

`"66.024mm"=("5.502mm"*"24")/2`

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Download Design of Bevel Gears Formulas PDF

Back Cone Radius of Bevel Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2
r_b = (m*z^')/2
This formula uses 3 Variables

Variables Used

Back Cone Radius - (Measured in Meter) - Back cone radius is also called as back cone distance. It is length of back cone element.
Module of Bevel Gear - (Measured in Meter) - Module of bevel gear is the unit of size that indicates how big or small is a bevel gear.
Virtual Number of Teeth for Bevel Gear - Virtual Number of Teeth for Bevel Gear is imaginary spur gear teeth that are considered in a plane perpendicular to the tooth at the large end.

STEP 1: Convert Input(s) to Base Unit

Module of Bevel Gear: 5.502 Millimeter --> 0.005502 Meter (Check conversion here)
Virtual Number of Teeth for Bevel Gear: 24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_b = (m*z^')/2 --> (0.005502*24)/2

Evaluating ... ...

r_b = 0.066024

STEP 3: Convert Result to Output's Unit

0.066024 Meter -->66.024 Millimeter (Check conversion here)

FINAL ANSWER

66.024 Millimeter <-- Back Cone Radius

(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

Back Cone Radius of Bevel Gear Formula

Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2
r_b = (m*z^')/2

Why back cone radius ?

Back cone radius is one of the important terms used in the Bevel Gear for estimation of the module, virtual number of teeth, pitch angle.

How to Calculate Back Cone Radius of Bevel Gear?

Back Cone Radius of Bevel Gear calculator uses Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2 to calculate the Back Cone Radius, Back Cone Radius of Bevel Gear is defined as the length of the back cone element. The back cone of a bevel gear is an imaginary cone tangent to the outer ends of the teeth, with its elements perpendicular to those of the pitch cone. Back Cone Radius is denoted by r_b symbol.

How to calculate Back Cone Radius of Bevel Gear using this online calculator? To use this online calculator for Back Cone Radius of Bevel Gear, enter Module of Bevel Gear (m) & Virtual Number of Teeth for Bevel Gear (z^') and hit the calculate button. Here is how the Back Cone Radius of Bevel Gear calculation can be explained with given input values -> 66024 = (0.005502*24)/2.

FAQ

What is Back Cone Radius of Bevel Gear?

Back Cone Radius of Bevel Gear is defined as the length of the back cone element. The back cone of a bevel gear is an imaginary cone tangent to the outer ends of the teeth, with its elements perpendicular to those of the pitch cone and is represented as r_b = (m*z^')/2 or Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2. Module of bevel gear is the unit of size that indicates how big or small is a bevel gear & Virtual Number of Teeth for Bevel Gear is imaginary spur gear teeth that are considered in a plane perpendicular to the tooth at the large end.

How to calculate Back Cone Radius of Bevel Gear?

Back Cone Radius of Bevel Gear is defined as the length of the back cone element. The back cone of a bevel gear is an imaginary cone tangent to the outer ends of the teeth, with its elements perpendicular to those of the pitch cone is calculated using Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2. To calculate Back Cone Radius of Bevel Gear, you need Module of Bevel Gear (m) & Virtual Number of Teeth for Bevel Gear (z^'). With our tool, you need to enter the respective value for Module of Bevel Gear & Virtual Number of Teeth for Bevel 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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