Beam Strength of Gear Tooth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Beam Strength of Spur Gear Teeth = Module of Spur Gear*Face Width of Spur Gear Tooth*Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth
Sb = m*b*Y*σb
This formula uses 5 Variables
Variables Used
Beam Strength of Spur Gear Teeth - (Measured in Newton) - Beam Strength of Spur Gear Teeth is the maximum value of the tangential force that the tooth can transmit without bending failure.
Module of Spur Gear - (Measured in Meter) - Module of Spur Gear is the unit of size that indicates how big or small is a gear.
Face Width of Spur Gear Tooth - (Measured in Meter) - Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis.
Lewis Form Factor for Spur Gear - Lewis Form Factor for Spur Gear is defined as the ratio of the beam strength to the product of the module, bending stress, and the length of the gear tooth.
Bending Stress in Spur Gear Teeth - (Measured in Pascal) - Bending Stress in Spur Gear Teeth is the normal stress that is induced at a point in a gear teeth subjected to loads that cause it to bend.
STEP 1: Convert Input(s) to Base Unit
Module of Spur Gear: 4.1 Millimeter --> 0.0041 Meter (Check conversion here)
Face Width of Spur Gear Tooth: 34 Millimeter --> 0.034 Meter (Check conversion here)
Lewis Form Factor for Spur Gear: 0.39 --> No Conversion Required
Bending Stress in Spur Gear Teeth: 156 Newton per Square Millimeter --> 156000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sb = m*b*Y*σb --> 0.0041*0.034*0.39*156000000
Evaluating ... ...
Sb = 8481.096
STEP 3: Convert Result to Output's Unit
8481.096 Newton --> No Conversion Required
FINAL ANSWER
8481.096 Newton <-- Beam Strength of Spur Gear Teeth
(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Tiruchirapalli
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25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears
Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)
Circular Pitch of Gear given Diameter and Number of Teeth
Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Resultant Force on Gear
Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)
Radial Force of Gear given Tangential Force and Pressure Angle
Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)
Tangential Force on Gear given Radial Force and Pressure Angle
Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)
Pitch Circle Diameter of holes of Medium Size Gear
Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2
Diameter of Holes in Gear Web of Medium Size Diameter
Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4
Inner Diameter of Rim of Large Size Gear
Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim
Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter
Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2
Addendum Circle Diameter of Medium Size Gear Diameter given Addendum
Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)
Tangential Force on Gear given Torque and Pitch Circle Diameter
Go Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Medium Size Gear given Dedundum
Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)
Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter
Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Large Size Gear
Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Addendum Circle Diameter of Large Size Gear
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Pitch Circle Diameter of Gear given Module and Number of Teeth
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Module of Gear given Pitch Circle Diameter
Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Maximum Torque of Gear given Service Factor
Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear
Service Factor for Gear given Torque
Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear
Gear Ratio given Number of Teeth
Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion
Gear Ratio given Speed
Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear
Diametral Pitch of Gear given Circular Pitch
Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Outer Diameter of Hub of Large Size Gear
Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft
Thickness of Rim of Large Size Gear
Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Beam Strength of Gear Tooth Formula

Beam Strength of Spur Gear Teeth = Module of Spur Gear*Face Width of Spur Gear Tooth*Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth
Sb = m*b*Y*σb

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

How to Calculate Beam Strength of Gear Tooth?

Beam Strength of Gear Tooth calculator uses Beam Strength of Spur Gear Teeth = Module of Spur Gear*Face Width of Spur Gear Tooth*Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth to calculate the Beam Strength of Spur Gear Teeth, Beam Strength of Gear Tooth is the strength of the bear tooth considered as a cantilever beam. The tangential component of force on the tooth causes the bending moment about the base of the tooth. So actually the beam strength of the maximum value of the tangential force that the tooth can transmit without bending failure. Beam Strength of Spur Gear Teeth is denoted by Sb symbol.

How to calculate Beam Strength of Gear Tooth using this online calculator? To use this online calculator for Beam Strength of Gear Tooth, enter Module of Spur Gear (m), Face Width of Spur Gear Tooth (b), Lewis Form Factor for Spur Gear (Y) & Bending Stress in Spur Gear Teeth b) and hit the calculate button. Here is how the Beam Strength of Gear Tooth calculation can be explained with given input values -> 8481.096 = 0.0041*0.034*0.39*156000000.

FAQ

What is Beam Strength of Gear Tooth?
Beam Strength of Gear Tooth is the strength of the bear tooth considered as a cantilever beam. The tangential component of force on the tooth causes the bending moment about the base of the tooth. So actually the beam strength of the maximum value of the tangential force that the tooth can transmit without bending failure and is represented as Sb = m*b*Y*σb or Beam Strength of Spur Gear Teeth = Module of Spur Gear*Face Width of Spur Gear Tooth*Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth. Module of Spur Gear is the unit of size that indicates how big or small is a gear, Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis, Lewis Form Factor for Spur Gear is defined as the ratio of the beam strength to the product of the module, bending stress, and the length of the gear tooth & Bending Stress in Spur Gear Teeth is the normal stress that is induced at a point in a gear teeth subjected to loads that cause it to bend.
How to calculate Beam Strength of Gear Tooth?
Beam Strength of Gear Tooth is the strength of the bear tooth considered as a cantilever beam. The tangential component of force on the tooth causes the bending moment about the base of the tooth. So actually the beam strength of the maximum value of the tangential force that the tooth can transmit without bending failure is calculated using Beam Strength of Spur Gear Teeth = Module of Spur Gear*Face Width of Spur Gear Tooth*Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth. To calculate Beam Strength of Gear Tooth, you need Module of Spur Gear (m), Face Width of Spur Gear Tooth (b), Lewis Form Factor for Spur Gear (Y) & Bending Stress in Spur Gear Teeth b). With our tool, you need to enter the respective value for Module of Spur Gear, Face Width of Spur Gear Tooth, Lewis Form Factor for Spur Gear & Bending Stress in Spur Gear Teeth 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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