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Form Factor of Gear given Deformation Factor Formula

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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. Check FAQs

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

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

Form Factor of Gear given Deformation Factor Example

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Here is how the Form Factor of Gear given Deformation Factor equation looks like with Values.

Here is how the Form Factor of Gear given Deformation Factor equation looks like with Units.

Here is how the Form Factor of Gear given Deformation Factor equation looks like.

0.1002 = 1100 \cdot ((\frac{1}{20600}) + (\frac{1}{23500}))

0.1002 = 1100N/mm² \cdot ((\frac{1}{20600N/mm²}) + (\frac{1}{23500N/mm²}))

0.1002 = 1100 \cdot ((\frac{1}{20600}) + (\frac{1}{23500}))

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Form Factor of Gear given Deformation Factor Solution

Follow our step by step solution on how to calculate Form Factor of Gear given Deformation Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k = 1100N/mm² \cdot ((\frac{1}{20600N/mm²}) + (\frac{1}{23500N/mm²}))

Next Step Convert Units

∴

k = 1.1E+9Pa \cdot ((\frac{1}{2.1E+10Pa}) + (\frac{1}{2.4E+10Pa}))

Next Step Prepare to Evaluate

∴

k = 1.1E+9 \cdot ((\frac{1}{2.1E+10}) + (\frac{1}{2.4E+10}))

Next Step Evaluate

∴

k = 0.100206568890725

LAST Step Rounding Answer

∴

k = 0.1002

Form Factor of Gear given Deformation Factor Formula Elements

Variables

Form factor for Spur Gear Tooth

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Form factor for Spur Gear Tooth

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

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 Parameters of Spur Gear category

Go Circular Pitch of Gear given Diameter and Number of Teeth

P c = π \cdot \frac{d}{z}

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

P d = \frac{z}{d}

Go Diametral Pitch of Gear given Circular Pitch

P d = \frac{π}{P c}

Go Module of Gear given Diametral Pitch

m = \frac{1}{P d}

How to Evaluate Form Factor of Gear given Deformation Factor?

Form Factor of Gear given Deformation Factor evaluator 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 evaluate 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 evaluate Form Factor of Gear given Deformation Factor using this online evaluator? To use this online evaluator 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.

FAQs on Form Factor of Gear given Deformation Factor

What is the formula to find Form Factor of Gear given Deformation Factor?

The formula of Form Factor of Gear given Deformation Factor is expressed as 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)). Here is an example- 0.100207 = 1100000000*((1/20600000000)+(1/23500000000)).

How to calculate Form Factor of Gear given Deformation Factor?

With Deformation Factor for Spur Gear (C), Modulus of Elasticity of Spur Pinion (E_p) & Modulus of Elasticity of Spur Gear (E_g) we can find Form Factor of Gear given Deformation Factor using the formula - 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)).

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Form Factor of Gear given Deformation Factor Formula

Form Factor of Gear given Deformation Factor Example

Form Factor of Gear given Deformation Factor Solution

Form Factor of Gear given Deformation Factor Formula Elements

Other formulas in Parameters of Spur Gear category

How to Evaluate Form Factor of Gear given Deformation Factor?

FAQs on Form Factor of Gear given Deformation Factor

Variable Name