Beam Strength of Tooth 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%
✖Face Width of Bevel Gear Tooth is the length of the tooth parallel to the bevel gear axis.ⓘ Face Width of Bevel Gear Tooth [b]			+10% -10%
✖Bending stress in bevel gear teeth is the normal stress that is induced at a point in a gear tooth subjected to loads that cause it to bend.ⓘ Bending Stress in Bevel Gear Teeth [σ_b]			+10% -10%
✖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.ⓘ Lewis Form Factor [Y]			+10% -10%
✖Cone distance is the length of the pitch-cone element and is also called the pitch-cone radius.ⓘ Cone Distance [A₀]			+10% -10%

✖Beam strength of bevel gear teeth is the maximum value of the tangential force that the tooth can transmit without bending failure.ⓘ Beam Strength of Tooth of Bevel Gear [S_b]

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Formula

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Beam Strength of Tooth of Bevel Gear

Formula

`"S"_{"b"} = "m"*"b"*"σ"_{"b"}*"Y"*(1-"b"/"A"_{"0"})`

Example

`"5700.072N"="5.502mm"*"35mm"*"185N/mm²"*"0.320"*(1-"35mm"/"70mm")`

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Beam Strength of Tooth of Bevel Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beam Strength of Bevel Gear Teeth = Module of Bevel Gear*Face Width of Bevel Gear Tooth*Bending Stress in Bevel Gear Teeth*Lewis Form Factor*(1-Face Width of Bevel Gear Tooth/Cone Distance)
S_b = m*b*σ_b*Y*(1-b/A₀)
This formula uses 6 Variables

Variables Used

Beam Strength of Bevel Gear Teeth - (Measured in Newton) - Beam strength of bevel gear teeth is the maximum value of the tangential force that the tooth can transmit without bending failure.
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.
Face Width of Bevel Gear Tooth - (Measured in Meter) - Face Width of Bevel Gear Tooth is the length of the tooth parallel to the bevel gear axis.
Bending Stress in Bevel Gear Teeth - (Measured in Pascal) - Bending stress in bevel gear teeth is the normal stress that is induced at a point in a gear tooth subjected to loads that cause it to bend.
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 - (Measured in Meter) - Cone distance is the length of the pitch-cone element and is also called the pitch-cone radius.

STEP 1: Convert Input(s) to Base Unit

Module of Bevel Gear: 5.502 Millimeter --> 0.005502 Meter (Check conversion here)
Face Width of Bevel Gear Tooth: 35 Millimeter --> 0.035 Meter (Check conversion here)
Bending Stress in Bevel Gear Teeth: 185 Newton per Square Millimeter --> 185000000 Pascal (Check conversion here)
Lewis Form Factor: 0.32 --> No Conversion Required
Cone Distance: 70 Millimeter --> 0.07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_b = m*b*σ_b*Y*(1-b/A₀) --> 0.005502*0.035*185000000*0.32*(1-0.035/0.07)

Evaluating ... ...

S_b = 5700.072

STEP 3: Convert Result to Output's Unit

5700.072 Newton --> No Conversion Required

FINAL ANSWER

5700.072 Newton <-- Beam Strength of Bevel Gear Teeth

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Bevel Gears » Material Properties » Beam Strength of Tooth of Bevel Gear

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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National Institute Of Technology (NIT), Hamirpur

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< 4 Material Properties Calculators

Material Constant for Bevel Gear Wear Strength

Go Material Constant = (Compressive Stress in Bevel Gear Tooth^2*sin(Pressure Angle)*cos(Pressure Angle)*(1/Modulus of Elasticity of Spur Pinion+1/Modulus of Elasticity of Spur Gear))/1.4

Wear Strength of Bevel Gear by Buckingham's Equation

Go Wear Strength of Bevel Gear Tooth = (0.75*Face Width of Bevel Gear Tooth*Ratio Factor for Bevel Gear*Pitch Circle Diameter of Bevel Pinion*Material Constant)/cos(Pitch Angle for Bevel Gear)

Beam Strength of Tooth of Bevel Gear

Go Beam Strength of Bevel Gear Teeth = Module of Bevel Gear*Face Width of Bevel Gear Tooth*Bending Stress in Bevel Gear Teeth*Lewis Form Factor*(1-Face Width of Bevel Gear Tooth/Cone Distance)

Material Constant for Bevel Gear Wear Strength given Brinell Hardness Number

Go Material Constant = 0.16*(Brinell Hardness Number for Bevel Gear/100)^2

Beam Strength of Tooth of Bevel Gear Formula

Why beam strength ?

The beam strength is used to calculate the gear teeth strength and to avoid the gear from the failure of bending. To verify the gear by calculating the factor of safety by calculation 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 of Bevel Gear Teeth = Module of Bevel Gear*Face Width of Bevel Gear Tooth*Bending Stress in Bevel Gear Teeth*Lewis Form Factor*(1-Face Width of Bevel Gear Tooth/Cone Distance) to calculate the Beam Strength of Bevel Gear Teeth, The Beam Strength of Tooth of Bevel Gear is one of the essential terms used to calculate the parameters of the gear. The failure of the gear due to bending can be verified. Beam strength indicates the maximum value of the force at the large end of the tooth that the tooth can transmit without bending. Beam Strength of Bevel Gear Teeth is denoted by S_b 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 of Bevel Gear (m), Face Width of Bevel Gear Tooth (b), Bending Stress in Bevel Gear Teeth (σ_b), 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 -> 5700.072 = 0.005502*0.035*185000000*0.32*(1-0.035/0.07).

FAQ

What is Beam Strength of Tooth of Bevel Gear?

The Beam Strength of Tooth of Bevel Gear is one of the essential terms used to calculate the parameters of the gear. The failure of the gear due to bending can be verified. Beam strength indicates the maximum value of the force at the large end of the tooth that the tooth can transmit without bending and is represented as S_b = m*b*σ_b*Y*(1-b/A₀) or Beam Strength of Bevel Gear Teeth = Module of Bevel Gear*Face Width of Bevel Gear Tooth*Bending Stress in Bevel Gear Teeth*Lewis Form Factor*(1-Face Width of Bevel Gear Tooth/Cone Distance). Module of bevel gear is the unit of size that indicates how big or small is a bevel gear, Face Width of Bevel Gear Tooth is the length of the tooth parallel to the bevel gear axis, Bending stress in bevel gear teeth is the normal stress that is induced at a point in a gear tooth 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 and is also called the pitch-cone radius.

How to calculate Beam Strength of Tooth of Bevel Gear?

The Beam Strength of Tooth of Bevel Gear is one of the essential terms used to calculate the parameters of the gear. The failure of the gear due to bending can be verified. Beam strength indicates the maximum value of the force at the large end of the tooth that the tooth can transmit without bending is calculated using Beam Strength of Bevel Gear Teeth = Module of Bevel Gear*Face Width of Bevel Gear Tooth*Bending Stress in Bevel Gear Teeth*Lewis Form Factor*(1-Face Width of Bevel Gear Tooth/Cone Distance). To calculate Beam Strength of Tooth of Bevel Gear, you need Module of Bevel Gear (m), Face Width of Bevel Gear Tooth (b), Bending Stress in Bevel Gear Teeth (σ_b), Lewis Form Factor (Y) & Cone Distance (A₀). With our tool, you need to enter the respective value for Module of Bevel Gear, Face Width of Bevel Gear Tooth, Bending Stress in Bevel Gear Teeth, 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.

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