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Module of Gear given Beam Strength and Lewis Form Factor Formula

GoModule of Gear given Diametral Pitch Formula

GoModule of Gear given Pitch Circle Diameter Formula

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Module of Spur Gear is the unit of size that indicates how big or small is a gear. Check FAQs

m = \frac{S b}{Y \cdot σ b \cdot b}

m - Module of Spur Gear?S_b - Beam Strength of Spur Gear Teeth?Y - Lewis Form Factor for Spur Gear?σ_b - Bending Stress in Spur Gear Teeth?b - Face Width of Spur Gear Tooth?

Module of Gear given Beam Strength and Lewis Form Factor Example

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Here is how the Module of Gear given Beam Strength and Lewis Form Factor equation looks like with Values.

Here is how the Module of Gear given Beam Strength and Lewis Form Factor equation looks like with Units.

Here is how the Module of Gear given Beam Strength and Lewis Form Factor equation looks like.

4.1091 = \frac{8500}{0.39 \cdot 156 \cdot 34}

4.1091mm = \frac{8500N}{0.39 \cdot 156N/mm² \cdot 34mm}

4.1091 = \frac{8500}{0.39 \cdot 156 \cdot 34}

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Module of Gear given Beam Strength and Lewis Form Factor Solution

Follow our step by step solution on how to calculate Module of Gear given Beam Strength and Lewis Form Factor?

FIRST Step Consider the formula

m = \frac{S b}{Y \cdot σ b \cdot b}

Next Step Substitute values of Variables

∴

m = \frac{8500N}{0.39 \cdot 156N/mm² \cdot 34mm}

Next Step Convert Units

∴

m = \frac{8500N}{0.39 \cdot 1.6E+8Pa \cdot 0.034m}

Next Step Prepare to Evaluate

∴

m = \frac{8500}{0.39 \cdot 1.6E+8 \cdot 0.034}

Next Step Evaluate

∴

m = 0.00410913872452334m

Next Step Convert to Output's Unit

∴

m = 4.10913872452334mm

LAST Step Rounding Answer

∴

m = 4.1091mm

Module of Gear given Beam Strength and Lewis Form Factor Formula Elements

Variables

Module of Spur Gear

Module of Spur Gear is the unit of size that indicates how big or small is a gear.

Symbol: m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Module of Spur Gear

Beam Strength of Spur Gear Teeth

Beam Strength of Spur Gear Teeth is the maximum value of the tangential force that the tooth can transmit without bending failure.

Symbol: S_b

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Beam Strength of Spur Gear Teeth

Lewis Form Factor for Spur Gear

Lewis Form Factor for Spur Gear is defined as the ratio of the beam strength to the product of the module, bending stress, and the length of the gear tooth.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lewis Form Factor for Spur Gear

Bending Stress in Spur Gear Teeth

Bending Stress in Spur Gear Teeth is the normal stress that is induced at a point in a gear teeth subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Spur Gear Teeth

Face Width of Spur Gear Tooth

Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Face Width of Spur Gear Tooth

Other Formulas to find Module of Spur Gear

Go Module of Gear given Diametral Pitch

m = \frac{1}{P d}

Go Module of Gear given Pitch Circle Diameter

m = \frac{d}{z}

Go Module of Gear given Tolerance Factor

m = ϕ - (0.25 \cdot (\sqrt{d}))

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 Pitch Circle Diameter of Gear given Module and Number of Teeth

d = m \cdot z

How to Evaluate Module of Gear given Beam Strength and Lewis Form Factor?

Module of Gear given Beam Strength and Lewis Form Factor evaluator uses Module of Spur Gear = Beam Strength of Spur Gear Teeth/(Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth) to evaluate the Module of Spur Gear, Module of Gear given Beam Strength and Lewis Form Factor is the number that expresses how big or small is the gear. The size of a gear tooth is expressed as its module. The sizes of gear teeth using the module system are indicated with the symbol m followed by numerals such as m1, m2, and m4 where the teeth sizes get larger as the numerical value increases. Module of Spur Gear is denoted by m symbol.

How to evaluate Module of Gear given Beam Strength and Lewis Form Factor using this online evaluator? To use this online evaluator for Module of Gear given Beam Strength and Lewis Form Factor, enter Beam Strength of Spur Gear Teeth (S_b), Lewis Form Factor for Spur Gear (Y), Bending Stress in Spur Gear Teeth (σ_b) & Face Width of Spur Gear Tooth (b) and hit the calculate button.

FAQs on Module of Gear given Beam Strength and Lewis Form Factor

What is the formula to find Module of Gear given Beam Strength and Lewis Form Factor?

The formula of Module of Gear given Beam Strength and Lewis Form Factor is expressed as Module of Spur Gear = Beam Strength of Spur Gear Teeth/(Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth). Here is an example- 4109.139 = 8500/(0.39*156000000*0.034).

How to calculate Module of Gear given Beam Strength and Lewis Form Factor?

With Beam Strength of Spur Gear Teeth (S_b), Lewis Form Factor for Spur Gear (Y), Bending Stress in Spur Gear Teeth (σ_b) & Face Width of Spur Gear Tooth (b) we can find Module of Gear given Beam Strength and Lewis Form Factor using the formula - Module of Spur Gear = Beam Strength of Spur Gear Teeth/(Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth).

What are the other ways to Calculate Module of Spur Gear?

Here are the different ways to Calculate Module of Spur Gear-

Module of Spur Gear=1/Diametral Pitch of Spur Gear
Module of Spur Gear=Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Module of Spur Gear=Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear)))

Can the Module of Gear given Beam Strength and Lewis Form Factor be negative?

No, the Module of Gear given Beam Strength and Lewis Form Factor, measured in Length cannot be negative.

Which unit is used to measure Module of Gear given Beam Strength and Lewis Form Factor?

Module of Gear given Beam Strength and Lewis Form Factor is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Module of Gear given Beam Strength and Lewis Form Factor can be measured.

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Module of Gear given Beam Strength and Lewis Form Factor Formula

​GoModule of Gear given Diametral Pitch Formula

​GoModule of Gear given Pitch Circle Diameter Formula

Module of Gear given Beam Strength and Lewis Form Factor Example

Module of Gear given Beam Strength and Lewis Form Factor Solution

Module of Gear given Beam Strength and Lewis Form Factor Formula Elements

Other Formulas to find Module of Spur Gear

Other formulas in Parameters of Spur Gear category

How to Evaluate Module of Gear given Beam Strength and Lewis Form Factor?

FAQs on Module of Gear given Beam Strength and Lewis Form Factor

Variable Name

GoModule of Gear given Diametral Pitch Formula

GoModule of Gear given Pitch Circle Diameter Formula