Virtual or Formative Number of Teeth 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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✖Back cone radius is also called as back cone distance. It is length of back cone element.ⓘ Back Cone Radius [r_b]			+10% -10%
✖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 or Formative Number of Teeth of Bevel Gear [z^']

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Formula

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Virtual or Formative Number of Teeth of Bevel Gear

Formula

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

Example

`"23.99128"=(2*"66mm")/"5.502mm"`

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Download Design of Bevel Gears Formulas PDF

Virtual or Formative Number of Teeth of Bevel Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Back Cone Radius: 66 Millimeter --> 0.066 Meter (Check conversion here)
Module of Bevel Gear: 5.502 Millimeter --> 0.005502 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z^' = (2*r_b)/m --> (2*0.066)/0.005502

Evaluating ... ...

z^' = 23.9912758996728

STEP 3: Convert Result to Output's Unit

23.9912758996728 --> No Conversion Required

FINAL ANSWER

23.9912758996728 ≈ 23.99128 <-- Virtual Number of Teeth for Bevel Gear

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Bevel Gears » Geometric Properties » Virtual or Formative Number of Teeth of Bevel Gear

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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

Virtual or Formative Number of Teeth of Bevel Gear Formula

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

What is virtual number of teeth?

Virtual or formative number of teeth is imagninary spur gear teeth which is considered in plane perpendicular to the tooth at large end. Where rb is pitch circle radius for it.

How to Calculate Virtual or Formative Number of Teeth of Bevel Gear?

Virtual or Formative Number of Teeth of Bevel Gear calculator uses Virtual Number of Teeth for Bevel Gear = (2*Back Cone Radius)/Module of Bevel Gear to calculate the Virtual Number of Teeth for Bevel Gear, Virtual or formative number of teeth of Bevel Gear are imaginary spur gear teeth that are considered in the plane perpendicular to the tooth at the large end. These are used to calculate the number of teeth in Bevel gear. Virtual Number of Teeth for Bevel Gear is denoted by z^' symbol.

How to calculate Virtual or Formative Number of Teeth of Bevel Gear using this online calculator? To use this online calculator for Virtual or Formative Number of Teeth of Bevel Gear, enter Back Cone Radius (r_b) & Module of Bevel Gear (m) and hit the calculate button. Here is how the Virtual or Formative Number of Teeth of Bevel Gear calculation can be explained with given input values -> 23.99128 = (2*0.066)/0.005502.

FAQ

What is Virtual or Formative Number of Teeth of Bevel Gear?

Virtual or formative number of teeth of Bevel Gear are imaginary spur gear teeth that are considered in the plane perpendicular to the tooth at the large end. These are used to calculate the number of teeth in Bevel gear and is represented as z^' = (2*r_b)/m or Virtual Number of Teeth for Bevel Gear = (2*Back Cone Radius)/Module of Bevel Gear. Back cone radius is also called as back cone distance. It is length of back cone element & Module of bevel gear is the unit of size that indicates how big or small is a bevel gear.

How to calculate Virtual or Formative Number of Teeth of Bevel Gear?

Virtual or formative number of teeth of Bevel Gear are imaginary spur gear teeth that are considered in the plane perpendicular to the tooth at the large end. These are used to calculate the number of teeth in Bevel gear is calculated using Virtual Number of Teeth for Bevel Gear = (2*Back Cone Radius)/Module of Bevel Gear. To calculate Virtual or Formative Number of Teeth of Bevel Gear, you need Back Cone Radius (r_b) & Module of Bevel Gear (m). With our tool, you need to enter the respective value for Back Cone Radius & Module of 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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