Form Factor of Gear given Deformation Factor Calculator

✖The Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth.ⓘ Deformation Factor for Spur Gear [C]			+10% -10%
✖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 Pinion [E_p]			+10% -10%
✖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.ⓘ Modulus of Elasticity of Spur Gear [E_g]			+10% -10%

✖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.ⓘ Form Factor of Gear given Deformation Factor [k]

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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/E_p)+(1/E_g))
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/E_p)+(1/E_g)) --> 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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Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Mechanical » Parameters of Spur Gear » Form Factor of Gear given Deformation Factor

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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/E_p)+(1/E_g))

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 (E_p) & Modulus of Elasticity of Spur Gear (E_g) 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/E_p)+(1/E_g)) 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 (E_p) & Modulus of Elasticity of Spur Gear (E_g). 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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