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Deformation factor of Gear Formula

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The Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth. Check FAQs

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

C - Deformation Factor for Spur Gear?k - Form factor for Spur Gear Tooth?E_p - Modulus of Elasticity of Spur Pinion?E_g - Modulus of Elasticity of Spur Gear?

Deformation factor of Gear Example

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Here is how the Deformation factor of Gear equation looks like with Values.

Here is how the Deformation factor of Gear equation looks like with Units.

Here is how the Deformation factor of Gear equation looks like.

1174.5737 = \frac{0.107}{(\frac{1}{20600}) + (\frac{1}{23500})}

1174.5737N/mm² = \frac{0.107}{(\frac{1}{20600N/mm²}) + (\frac{1}{23500N/mm²})}

1174.5737 = \frac{0.107}{(\frac{1}{20600}) + (\frac{1}{23500})}

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Deformation factor of Gear Solution

Follow our step by step solution on how to calculate Deformation factor of Gear?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

C = \frac{0.107}{(\frac{1}{2.1E+10Pa}) + (\frac{1}{2.4E+10Pa})}

Next Step Prepare to Evaluate

∴

C = \frac{0.107}{(\frac{1}{2.1E+10}) + (\frac{1}{2.4E+10})}

Next Step Evaluate

∴

C = 1174573696.14512Pa

Next Step Convert to Output's Unit

∴

C = 1174.57369614512N/mm²

LAST Step Rounding Answer

∴

C = 1174.5737N/mm²

Deformation factor of Gear Formula Elements

Variables

Deformation Factor for Spur Gear

The Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth.

Symbol: C

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Deformation Factor for Spur Gear

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.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Form factor for Spur Gear Tooth

Modulus of Elasticity of Spur Pinion

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.

Symbol: E_p

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Spur Pinion

Modulus of Elasticity of Spur Gear

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.

Symbol: E_g

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Spur Gear

Other formulas in Dynamics of Spur Gear category

Go Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

M t = P t \cdot \frac{d}{2}

Go Tangential Force on Gear given Torque and Pitch Circle Diameter

P t = 2 \cdot \frac{M t}{d}

Go Radial Force of Gear given Tangential Force and Pressure Angle

P r = P t \cdot \tan (Φ)

Go Tangential Force on Gear given Radial Force and Pressure Angle

P t = P r \cdot \cot (Φ)

How to Evaluate Deformation factor of Gear?

Deformation factor of Gear evaluator 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 evaluate 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 evaluate Deformation factor of Gear using this online evaluator? To use this online evaluator 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.

FAQs on Deformation factor of Gear

What is the formula to find Deformation factor of Gear?

The formula of Deformation factor of Gear is expressed as 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)). Here is an example- 0.001175 = 0.107/((1/20600000000)+(1/23500000000)).

How to calculate Deformation factor of Gear?

With Form factor for Spur Gear Tooth (k), Modulus of Elasticity of Spur Pinion (E_p) & Modulus of Elasticity of Spur Gear (E_g) we can find Deformation factor of Gear using the 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)).

Can the Deformation factor of Gear be negative?

No, the Deformation factor of Gear, measured in Pressure cannot be negative.

Which unit is used to measure Deformation factor of Gear?

Deformation factor of Gear is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Deformation factor of Gear can be measured.

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Deformation factor of Gear Formula

Deformation factor of Gear Example

Deformation factor of Gear Solution

Deformation factor of Gear Formula Elements

Other formulas in Dynamics of Spur Gear category

How to Evaluate Deformation factor of Gear?

FAQs on Deformation factor of Gear

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