Deformation factor of Gear Calculator

✖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 for Spur Gear Tooth [k]			+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 Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth.ⓘ Deformation factor of Gear [C]

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Formula

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Deformation factor of Gear

Formula

C = \frac{k}{(\frac{1}{E p}) + (\frac{1}{E g})}

Example

1174.574 N/mm² = \frac{0.107}{(\frac{1}{20600 N/mm²}) + (\frac{1}{23500 N/mm²})}

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Deformation factor of Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear))
C = k/((1/E_p)+(1/E_g))
This formula uses 4 Variables

Variables Used

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.
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.
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

Form factor for Spur Gear Tooth: 0.107 --> No Conversion Required
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

C = k/((1/E_p)+(1/E_g)) --> 0.107/((1/20600000000)+(1/23500000000))

Evaluating ... ...

C = 1174573696.14512

STEP 3: Convert Result to Output's Unit

1174573696.14512 Pascal -->1174.57369614512 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

1174.57369614512 ≈ 1174.574 Newton per Square Millimeter <-- Deformation 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 » Dynamics of Spur Gear » Deformation factor of Gear

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National Institute of Technology (NIT), Tiruchirapalli

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< Dynamics of Spur Gear Calculators

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)

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

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

Deformation factor of Gear Formula

Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear))
C = k/((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 Deformation factor of Gear?

Deformation factor of Gear calculator uses Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear)) to calculate the Deformation Factor for Spur Gear, Deformation factor of Gear is a factor to account for the deformation of gear under loading conditions. It depends upon the form factor of gear teeth and the modulus of elasticity of gear and pinion. Deformation Factor for Spur Gear is denoted by C symbol.

How to calculate Deformation factor of Gear using this online calculator? To use this online calculator for Deformation factor of Gear, enter Form factor for Spur Gear Tooth (k), 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 Deformation factor of Gear calculation can be explained with given input values -> 0.001175 = 0.107/((1/20600000000)+(1/23500000000)).

FAQ

What is Deformation factor of Gear?

Deformation factor of Gear is a factor to account for the deformation of gear under loading conditions. It depends upon the form factor of gear teeth and the modulus of elasticity of gear and pinion and is represented as C = k/((1/E_p)+(1/E_g)) or Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear)). 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, 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 Deformation factor of Gear?

Deformation factor of Gear is a factor to account for the deformation of gear under loading conditions. It depends upon the form factor of gear teeth and the modulus of elasticity of gear and pinion is calculated using Deformation Factor for Spur Gear = Form factor for Spur Gear Tooth/((1/Modulus of Elasticity of Spur Pinion)+(1/Modulus of Elasticity of Spur Gear)). To calculate Deformation factor of Gear, you need Form factor for Spur Gear Tooth (k), 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 Form factor for Spur Gear Tooth, 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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