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Virtual or formative number of teeth of Bevel Gear Solution

STEP 0: Pre-Calculation Summary
Formula Used
Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module
z' = (2*rb)/m
This formula uses 2 Variables
Variables Used
Back cone radius - Back cone radius is also called as back cone distance. It is length of back cone element. (Measured in Millimeter)
Module - Module is the unit of size that indicates how big or small a gear is. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Back cone radius: 10 Millimeter --> 0.01 Meter (Check conversion here)
Module: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z' = (2*rb)/m --> (2*0.01)/2
Evaluating ... ...
z' = 0.01
STEP 3: Convert Result to Output's Unit
0.01 --> No Conversion Required
FINAL ANSWER
0.01 <-- Virtual or formative number of teeth
(Calculation completed in 00.015 seconds)

10+ Design of Bevel Gear Calculators

Wear strength of the Bevel Gear
Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle) Go
Beam Strength of tooth of Bevel Gear
beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance))) Go
Ratio factor for Bevel gear
Ratio_factor_ = (2*Number of teeth on gear)/(Number of teeth on gear+(Number of teeth of the pinion*tan(Pitch angle))) Go
Radial force component acting on Bevel Gear
radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle)) Go
Radius of pinion at midpoint along face width
Radius_at_midpoint = ((Pitch circle diameter of pinion/2)-(Face width*sin(Pitch angle))/2) Go
Cone Distance
Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2)) Go
Actual number of teeth on Bevel Gear
number_of_teeth_on_gear = (Virtual or formative number of teeth)/cos(Pitch angle) Go
Tangential force component
Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint) Go
Virtual or formative number of teeth of Bevel Gear
Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module Go
Bevel Factor
Bevel_Factor = (1-(Face width/Cone distance)) Go

Virtual or formative number of teeth of Bevel Gear Formula

Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module
z' = (2*rb)/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_or_formative_number_of_teeth = (2*Back cone radius)/Module to calculate the Virtual or formative number of teeth, 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. Where rb is pitch circle radius for it. These are used to calculate the number of teeth in Bevel gear. Virtual or formative number of teeth 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 (rb) & Module (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 -> 0.01 = (2*0.01)/2.

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. Where rb is pitch circle radius for it. These are used to calculate the number of teeth in Bevel gear and is represented as z' = (2*rb)/m or Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module. Back cone radius is also called as back cone distance. It is length of back cone element & Module is the unit of size that indicates how big or small a gear is.
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. Where rb is pitch circle radius for it. These are used to calculate the number of teeth in Bevel gear is calculated using Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module. To calculate Virtual or formative number of teeth of Bevel Gear, you need Back cone radius (rb) & Module (m). With our tool, you need to enter the respective value for Back cone radius & Module 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 Virtual or formative number of teeth?
In this formula, Virtual or formative number of teeth uses Back cone radius & Module. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module
  • number_of_teeth_on_gear = (Virtual or formative number of teeth)/cos(Pitch angle)
  • Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2))
  • Radius_at_midpoint = ((Pitch circle diameter of pinion/2)-(Face width*sin(Pitch angle))/2)
  • Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint)
  • radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle))
  • Bevel_Factor = (1-(Face width/Cone distance))
  • beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance)))
  • Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle)
  • Ratio_factor_ = (2*Number of teeth on gear)/(Number of teeth on gear+(Number of teeth of the pinion*tan(Pitch angle)))
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