## Credits

Vishwakarma University (VU), Pune
Akshay Talbar has created this Calculator and 10+ more calculators!
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 1000+ more calculators!

## Beam Strength of tooth of Bevel Gear Solution

STEP 0: Pre-Calculation Summary
Formula Used
beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance)))
Sb = ((m*b*𝛔b*Y)*(1-(b/A0)))
This formula uses 5 Variables
Variables Used
Module - Module is the unit of size that indicates how big or small a gear is. (Measured in Meter)
Face width - Face width is the length of the tooth parallel to the gear axis. (Measured in Millimeter)
Bending Stress - The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend. (Measured in Newton per Square Meter)
Lewis Form Factor- The Lewis Form Factor is defined as the ratio of the beam strength to the product of the module, bending stress, and the length of the gear tooth.
Cone distance - Cone distance is the length of the pitch-cone element. It is also called pitch-cone radius. It is denoted by A0. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Module: 2 Meter --> 2 Meter No Conversion Required
Face width: 40 Millimeter --> 0.04 Meter (Check conversion here)
Bending Stress: 50 Newton per Square Meter --> 50 Pascal (Check conversion here)
Lewis Form Factor: 0.01 --> No Conversion Required
Cone distance: 50 Millimeter --> 0.05 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sb = ((m*b*𝛔b*Y)*(1-(b/A0))) --> ((2*0.04*50*0.01)*(1-(0.04/0.05)))
Evaluating ... ...
Sb = 0.008
STEP 3: Convert Result to Output's Unit
0.008 Newton --> No Conversion Required
0.008 Newton <-- Beam strength
(Calculation completed in 00.031 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

### Beam Strength of tooth of Bevel Gear Formula

beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance)))
Sb = ((m*b*𝛔b*Y)*(1-(b/A0)))

## Why beam strength ?

The beam strength is used to calculate the to avoid the gear from the failure of bending. To verify the gear by calculating the factor of safety by calculating of the dynamic load is done.

## How to Calculate Beam Strength of tooth of Bevel Gear?

Beam Strength of tooth of Bevel Gear calculator uses beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance))) to calculate the Beam strength, The Beam Strength of tooth of Bevel Gear is one of the important terms used to calculate the parameters of the gear. The failure of the gear due to bending can be verified. Beam strength is denoted by Sb symbol.

How to calculate Beam Strength of tooth of Bevel Gear using this online calculator? To use this online calculator for Beam Strength of tooth of Bevel Gear, enter Module (m), Face width (b), Bending Stress (𝛔b), Lewis Form Factor (Y) & Cone distance (A0) and hit the calculate button. Here is how the Beam Strength of tooth of Bevel Gear calculation can be explained with given input values -> 0.008 = ((2*0.04*50*0.01)*(1-(0.04/0.05))).

### FAQ

What is Beam Strength of tooth of Bevel Gear?
The Beam Strength of tooth of Bevel Gear is one of the important terms used to calculate the parameters of the gear. The failure of the gear due to bending can be verified and is represented as Sb = ((m*b*𝛔b*Y)*(1-(b/A0))) or beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance))). Module is the unit of size that indicates how big or small a gear is, Face width is the length of the tooth parallel to the gear axis, The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend, The Lewis Form Factor is defined as the ratio of the beam strength to the product of the module, bending stress, and the length of the gear tooth & Cone distance is the length of the pitch-cone element. It is also called pitch-cone radius. It is denoted by A0.
How to calculate Beam Strength of tooth of Bevel Gear?
The Beam Strength of tooth of Bevel Gear is one of the important terms used to calculate the parameters of the gear. The failure of the gear due to bending can be verified is calculated using beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance))). To calculate Beam Strength of tooth of Bevel Gear, you need Module (m), Face width (b), Bending Stress (𝛔b), Lewis Form Factor (Y) & Cone distance (A0). With our tool, you need to enter the respective value for Module, Face width, Bending Stress, Lewis Form Factor & Cone distance 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 Beam strength?
In this formula, Beam strength uses Module, Face width, Bending Stress, Lewis Form Factor & Cone distance. 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)))
Let Others Know