Lewis Form Factor of Gear Tooth Calculator

✖Beam Strength of Spur Gear Teeth is the maximum value of the tangential force that the tooth can transmit without bending failure.ⓘ Beam Strength of Spur Gear Teeth [S_b]			+10% -10%
✖Module of Spur Gear is the unit of size that indicates how big or small is a gear.ⓘ Module of Spur Gear [m]			+10% -10%
✖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.ⓘ Bending Stress in Spur Gear Teeth [σ_b]			+10% -10%
✖Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis.ⓘ Face Width of Spur Gear Tooth [b]			+10% -10%

✖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.ⓘ Lewis Form Factor of Gear Tooth [Y]

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Lewis Form Factor of Gear Tooth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lewis Form Factor for Spur Gear = Beam Strength of Spur Gear Teeth/(Module of Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth)
Y = S_b/(m*σ_b*b)
This formula uses 5 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Beam Strength of Spur Gear Teeth: 8500 Newton --> 8500 Newton No Conversion Required
Module of Spur Gear: 4.1 Millimeter --> 0.0041 Meter (Check conversion here)
Bending Stress in Spur Gear Teeth: 156 Newton per Square Millimeter --> 156000000 Pascal (Check conversion here)
Face Width of Spur Gear Tooth: 34 Millimeter --> 0.034 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y = S_b/(m*σ_b*b) --> 8500/(0.0041*156000000*0.034)

Evaluating ... ...

Y = 0.390869293308318

STEP 3: Convert Result to Output's Unit

0.390869293308318 --> No Conversion Required

FINAL ANSWER

0.390869293308318 ≈ 0.390869 <-- Lewis Form Factor for Spur Gear

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Mechanical » Parameters of Spur Gear » Lewis Form Factor of Gear Tooth

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National Institute of Technology (NIT), Tiruchirapalli

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< Parameters of Spur Gear Calculators

Circular Pitch of Gear given Diameter and Number of Teeth

LaTeX Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

LaTeX Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear

Diametral Pitch of Gear given Circular Pitch

LaTeX Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

LaTeX Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Lewis Form Factor of Gear Tooth Formula

LaTeX Go

Lewis Form Factor for Spur Gear = Beam Strength of Spur Gear Teeth/(Module of Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth)
Y = S_b/(m*σ_b*b)

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 Lewis Form Factor of Gear Tooth?

Lewis Form Factor of Gear Tooth calculator uses Lewis Form Factor for Spur Gear = Beam Strength of Spur Gear Teeth/(Module of Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth) to calculate the Lewis Form Factor for Spur Gear, Lewis Form Factor of Gear Tooth is a factor used in the beam strength of gear equation. It is a function of the number of teeth, pressure angle, and involute depth of the gear. Lewis Form Factor for Spur Gear is denoted by Y symbol.

How to calculate Lewis Form Factor of Gear Tooth using this online calculator? To use this online calculator for Lewis Form Factor of Gear Tooth, enter Beam Strength of Spur Gear Teeth (S_b), Module of Spur Gear (m), Bending Stress in Spur Gear Teeth (σ_b) & Face Width of Spur Gear Tooth (b) and hit the calculate button. Here is how the Lewis Form Factor of Gear Tooth calculation can be explained with given input values -> 0.390869 = 8500/(0.0041*156000000*0.034).

FAQ

What is Lewis Form Factor of Gear Tooth?

Lewis Form Factor of Gear Tooth is a factor used in the beam strength of gear equation. It is a function of the number of teeth, pressure angle, and involute depth of the gear and is represented as Y = S_b/(m*σ_b*b) or Lewis Form Factor for Spur Gear = Beam Strength of Spur Gear Teeth/(Module of Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth). 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 is the unit of size that indicates how big or small is a gear, 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 & Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis.

How to calculate Lewis Form Factor of Gear Tooth?

Lewis Form Factor of Gear Tooth is a factor used in the beam strength of gear equation. It is a function of the number of teeth, pressure angle, and involute depth of the gear is calculated using Lewis Form Factor for Spur Gear = Beam Strength of Spur Gear Teeth/(Module of Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth). To calculate Lewis Form Factor of Gear Tooth, you need Beam Strength of Spur Gear Teeth (S_b), Module of Spur Gear (m), Bending Stress in Spur Gear Teeth (σ_b) & Face Width of Spur Gear Tooth (b). With our tool, you need to enter the respective value for Beam Strength of Spur Gear Teeth, Module of Spur Gear, Bending Stress in Spur Gear Teeth & Face Width of Spur Gear Tooth 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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