Form Factor of Gear given Deformation Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Form factor for Spur Gear Tooth = Deformation Factor for Spur Gear*((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear))
k = C*((1/Ep)+(1/Eg))
This formula uses 4 Variables
Variables Used
Form factor for Spur Gear Tooth - The Form factor for Spur Gear Tooth is function of the number of teeth, pressure angle, and involute depth of the gear. It accounts for the geometry of tooth but does not include stress concentration.
Deformation Factor for Spur Gear - (Measured in Pascal) - The Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth.
Modulus of Elasticity of Spur Pinion - (Measured in Pascal) - Modulus of Elasticity of Spur Pinion is the measure of the stiffness of pinion gear material. It is a measure of how easily the pinion can be bent or stretched.
Modulus of Elasticity of Spur Gear - (Measured in Pascal) - Modulus of Elasticity of Spur Gear is the measure of the stiffness of gear material. It is a measure of how easily the gear can be bent or stretched.
STEP 1: Convert Input(s) to Base Unit
Deformation Factor for Spur Gear: 1100 Newton per Square Millimeter --> 1100000000 Pascal (Check conversion ​here)
Modulus of Elasticity of Spur Pinion: 20600 Newton per Square Millimeter --> 20600000000 Pascal (Check conversion ​here)
Modulus of Elasticity of Spur Gear: 23500 Newton per Square Millimeter --> 23500000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = C*((1/Ep)+(1/Eg)) --> 1100000000*((1/20600000000)+(1/23500000000))
Evaluating ... ...
k = 0.100206568890725
STEP 3: Convert Result to Output's Unit
0.100206568890725 --> No Conversion Required
FINAL ANSWER
0.100206568890725 0.100207 <-- Form factor for Spur Gear Tooth
(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani
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

Form Factor of Gear given Deformation Factor Formula

​LaTeX ​Go
Form factor for Spur Gear Tooth = Deformation Factor for Spur Gear*((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear))
k = C*((1/Ep)+(1/Eg))

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 Form Factor of Gear given Deformation Factor?

Form Factor of Gear given Deformation Factor calculator uses Form factor for Spur Gear Tooth = Deformation Factor for Spur Gear*((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear)) to calculate the Form factor for Spur Gear Tooth, Form Factor of Gear given Deformation Factor is defined as the factor to account for the form of the gear tooth. It is a mathematical factor that compensates for irregularity in the shape of a gear tooth. Form factor for Spur Gear Tooth is denoted by k symbol.

How to calculate Form Factor of Gear given Deformation Factor using this online calculator? To use this online calculator for Form Factor of Gear given Deformation Factor, enter Deformation Factor for Spur Gear (C), Modulus of Elasticity of Spur Pinion (Ep) & Modulus of Elasticity of Spur Gear (Eg) and hit the calculate button. Here is how the Form Factor of Gear given Deformation Factor calculation can be explained with given input values -> 0.100207 = 1100000000*((1/20600000000)+(1/23500000000)).

FAQ

What is Form Factor of Gear given Deformation Factor?
Form Factor of Gear given Deformation Factor is defined as the factor to account for the form of the gear tooth. It is a mathematical factor that compensates for irregularity in the shape of a gear tooth and is represented as k = C*((1/Ep)+(1/Eg)) or Form factor for Spur Gear Tooth = Deformation Factor for Spur Gear*((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear)). The Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth, Modulus of Elasticity of Spur Pinion is the measure of the stiffness of pinion gear material. It is a measure of how easily the pinion can be bent or stretched & Modulus of Elasticity of Spur Gear is the measure of the stiffness of gear material. It is a measure of how easily the gear can be bent or stretched.
How to calculate Form Factor of Gear given Deformation Factor?
Form Factor of Gear given Deformation Factor is defined as the factor to account for the form of the gear tooth. It is a mathematical factor that compensates for irregularity in the shape of a gear tooth is calculated using Form factor for Spur Gear Tooth = Deformation Factor for Spur Gear*((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear)). To calculate Form Factor of Gear given Deformation Factor, you need Deformation Factor for Spur Gear (C), Modulus of Elasticity of Spur Pinion (Ep) & Modulus of Elasticity of Spur Gear (Eg). With our tool, you need to enter the respective value for Deformation Factor for Spur Gear, Modulus of Elasticity of Spur Pinion & Modulus of Elasticity of Spur Gear 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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