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Wear Strength of Spur Gear Tooth Formula

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Wear Strength of Bevel Gear Tooth indicates the maximum value of radial force at the large end of the tooth that the tooth can transmit without pitting failure. Check FAQs

S w = (b \cdot Q g \cdot D p) \cdot (0.16 \cdot {(\frac{BHN}{100})}^{2})

S_w - Wear Strength of Bevel Gear Tooth?b - Face Width of Spur Gear Tooth?Q_g - Ratio Factor for Spur Gear?D_p - Pitch Circle Diameter of Spur Pinion?BHN - Brinell Hardness Number Spur Gear?

Wear Strength of Spur Gear Tooth Example

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Here is how the Wear Strength of Spur Gear Tooth equation looks like with Values.

Here is how the Wear Strength of Spur Gear Tooth equation looks like with Units.

Here is how the Wear Strength of Spur Gear Tooth equation looks like.

10015.584 = (34 \cdot 1.5 \cdot 85) \cdot (0.16 \cdot {(\frac{380}{100})}^{2})

10015.584N = (34mm \cdot 1.5 \cdot 85mm) \cdot (0.16 \cdot {(\frac{380}{100})}^{2})

10015.584 = (34 \cdot 1.5 \cdot 85) \cdot (0.16 \cdot {(\frac{380}{100})}^{2})

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Wear Strength of Spur Gear Tooth Solution

Follow our step by step solution on how to calculate Wear Strength of Spur Gear Tooth?

FIRST Step Consider the formula

S w = (b \cdot Q g \cdot D p) \cdot (0.16 \cdot {(\frac{BHN}{100})}^{2})

Next Step Substitute values of Variables

∴

S w = (34mm \cdot 1.5 \cdot 85mm) \cdot (0.16 \cdot {(\frac{380}{100})}^{2})

Next Step Prepare to Evaluate

∴

S w = (34 \cdot 1.5 \cdot 85) \cdot (0.16 \cdot {(\frac{380}{100})}^{2})

LAST Step Evaluate

∴

S w = 10015.584N

Wear Strength of Spur Gear Tooth Formula Elements

Variables

Wear Strength of Bevel Gear Tooth

Wear Strength of Bevel Gear Tooth indicates the maximum value of radial force at the large end of the tooth that the tooth can transmit without pitting failure.

Symbol: S_w

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Wear Strength of Bevel Gear Tooth

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

Ratio Factor for Spur Gear

Ratio Factor for Spur Gear is the ratio of twice gear teeth to the sum of gear and pinion of gear teeth, considering a formative number of teeth.

Symbol: Q_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio Factor for Spur Gear

Pitch Circle Diameter of Spur Pinion

The Pitch Circle Diameter of Spur Pinion is the diameter of the circle that passes through all the pitch points of gear. This is where the gear's speed is measured.

Symbol: D_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Spur Pinion

Brinell Hardness Number Spur Gear

Brinell Hardness Number Spur Gear is a number expressing the load applied in testing in kilograms divided by the spherical area of indentation produced in the specimen in square millimetres.

Symbol: BHN

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Brinell Hardness Number 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 Wear Strength of Spur Gear Tooth?

Wear Strength of Spur Gear Tooth evaluator uses Wear Strength of Bevel Gear Tooth = (Face Width of Spur Gear Tooth*Ratio Factor for Spur Gear*Pitch Circle Diameter of Spur Pinion)*(0.16*(Brinell Hardness Number Spur Gear/100)^2) to evaluate the Wear Strength of Bevel Gear Tooth, Wear Strength of Spur Gear Tooth is defined as the strength of gear material against pitting failure. The wear strength is measured at the pinion of the gearing mechanism. Wear Strength of Bevel Gear Tooth is denoted by S_w symbol.

How to evaluate Wear Strength of Spur Gear Tooth using this online evaluator? To use this online evaluator for Wear Strength of Spur Gear Tooth, enter Face Width of Spur Gear Tooth (b), Ratio Factor for Spur Gear (Q_g), Pitch Circle Diameter of Spur Pinion (D_p) & Brinell Hardness Number Spur Gear (BHN) and hit the calculate button.

FAQs on Wear Strength of Spur Gear Tooth

What is the formula to find Wear Strength of Spur Gear Tooth?

The formula of Wear Strength of Spur Gear Tooth is expressed as Wear Strength of Bevel Gear Tooth = (Face Width of Spur Gear Tooth*Ratio Factor for Spur Gear*Pitch Circle Diameter of Spur Pinion)*(0.16*(Brinell Hardness Number Spur Gear/100)^2). Here is an example- 10015.58 = (0.034*1.5*0.085)*(0.16*(380/100)^2).

How to calculate Wear Strength of Spur Gear Tooth?

With Face Width of Spur Gear Tooth (b), Ratio Factor for Spur Gear (Q_g), Pitch Circle Diameter of Spur Pinion (D_p) & Brinell Hardness Number Spur Gear (BHN) we can find Wear Strength of Spur Gear Tooth using the formula - Wear Strength of Bevel Gear Tooth = (Face Width of Spur Gear Tooth*Ratio Factor for Spur Gear*Pitch Circle Diameter of Spur Pinion)*(0.16*(Brinell Hardness Number Spur Gear/100)^2).

Can the Wear Strength of Spur Gear Tooth be negative?

No, the Wear Strength of Spur Gear Tooth, measured in Force cannot be negative.

Which unit is used to measure Wear Strength of Spur Gear Tooth?

Wear Strength of Spur Gear Tooth is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Wear Strength of Spur Gear Tooth can be measured.

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Wear Strength of Spur Gear Tooth Formula

Wear Strength of Spur Gear Tooth Example

Wear Strength of Spur Gear Tooth Solution

Wear Strength of Spur Gear Tooth Formula Elements

Other formulas in Dynamics of Spur Gear category

How to Evaluate Wear Strength of Spur Gear Tooth?

FAQs on Wear Strength of Spur Gear Tooth

Variable Name