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Ratio Factor for Bevel Gear Formula

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Ratio Factor for bevel gear is defined as the ratio used in the design of a Bevel Gear. Check FAQs

Q b = \frac{2 \cdot z g}{z g + z p \cdot \tan (γ)}

Q_b - Ratio Factor for Bevel Gear?z_g - Number of Teeth on Bevel Gear?z_p - Number of Teeth on Pinion?γ - Pitch Angle for Bevel Gear?

Ratio Factor for Bevel Gear Example

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Here is how the Ratio Factor for Bevel Gear equation looks like with Values.

Here is how the Ratio Factor for Bevel Gear equation looks like with Units.

Here is how the Ratio Factor for Bevel Gear equation looks like.

1.0718 = \frac{2 \cdot 12}{12 + 6 \cdot \tan (60)}

1.0718 = \frac{2 \cdot 12}{12 + 6 \cdot \tan (60°)}

1.0718 = \frac{2 \cdot 12}{12 + 6 \cdot \tan (60)}

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Ratio Factor for Bevel Gear Solution

Follow our step by step solution on how to calculate Ratio Factor for Bevel Gear?

FIRST Step Consider the formula

Q b = \frac{2 \cdot z g}{z g + z p \cdot \tan (γ)}

Next Step Substitute values of Variables

∴

Q b = \frac{2 \cdot 12}{12 + 6 \cdot \tan (60°)}

Next Step Convert Units

∴

Q b = \frac{2 \cdot 12}{12 + 6 \cdot \tan (1.0472rad)}

Next Step Prepare to Evaluate

∴

Q b = \frac{2 \cdot 12}{12 + 6 \cdot \tan (1.0472)}

Next Step Evaluate

∴

Q b = 1.07179676972472

LAST Step Rounding Answer

∴

Q b = 1.0718

Ratio Factor for Bevel Gear Formula Elements

Variables

Functions

Ratio Factor for Bevel Gear

Ratio Factor for bevel gear is defined as the ratio used in the design of a Bevel Gear.

Symbol: Q_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio Factor for Bevel Gear

Number of Teeth on Bevel Gear

Number of Teeth on Bevel Gear is the total number of teeth on the peripheral surface of gear and they mesh with the teeth of some other gear or toothed machine element.

Symbol: z_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Bevel Gear

Number of Teeth on Pinion

Number of Teeth on Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion.

Symbol: z_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Pinion

Pitch Angle for Bevel Gear

Pitch Angle for Bevel Gear is the angle that the pitch line makes with the axis of the gear. The pitch angle is also known as center angle.

Symbol: γ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pitch Angle for Bevel Gear

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Performance Factors category

Go Bevel Factor

B f = 1 - \frac{b}{A 0}

Go Velocity Factor for Cut Teeth of Bevel Gear

C v cut = \frac{6}{6 + v}

Go Velocity Factor for Generated Teeth of Bevel Gear

C v gen = \frac{5.6}{5.6 + \sqrt{v}}

Go Power Transmitted

W shaft = 2 \cdot π \cdot N \cdot τ

How to Evaluate Ratio Factor for Bevel Gear?

Ratio Factor for Bevel Gear evaluator uses Ratio Factor for Bevel Gear = (2*Number of Teeth on Bevel Gear)/(Number of Teeth on Bevel Gear+Number of Teeth on Pinion*tan(Pitch Angle for Bevel Gear)) to evaluate the Ratio Factor for Bevel Gear, The ratio factor for Bevel gear formula is the ratio of the gear tooth to the sum of gear and pinion teeth. Ratio Factor for Bevel Gear is denoted by Q_b symbol.

How to evaluate Ratio Factor for Bevel Gear using this online evaluator? To use this online evaluator for Ratio Factor for Bevel Gear, enter Number of Teeth on Bevel Gear (z_g), Number of Teeth on Pinion (z_p) & Pitch Angle for Bevel Gear (γ) and hit the calculate button.

FAQs on Ratio Factor for Bevel Gear

What is the formula to find Ratio Factor for Bevel Gear?

The formula of Ratio Factor for Bevel Gear is expressed as Ratio Factor for Bevel Gear = (2*Number of Teeth on Bevel Gear)/(Number of Teeth on Bevel Gear+Number of Teeth on Pinion*tan(Pitch Angle for Bevel Gear)). Here is an example- 1.509708 = (2*12)/(12+6*tan(1.0471975511964)).

How to calculate Ratio Factor for Bevel Gear?

With Number of Teeth on Bevel Gear (z_g), Number of Teeth on Pinion (z_p) & Pitch Angle for Bevel Gear (γ) we can find Ratio Factor for Bevel Gear using the formula - Ratio Factor for Bevel Gear = (2*Number of Teeth on Bevel Gear)/(Number of Teeth on Bevel Gear+Number of Teeth on Pinion*tan(Pitch Angle for Bevel Gear)). This formula also uses Tangent (tan) function(s).

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Ratio Factor for Bevel Gear Formula

Ratio Factor for Bevel Gear Example

Ratio Factor for Bevel Gear Solution

Ratio Factor for Bevel Gear Formula Elements

Other formulas in Performance Factors category

How to Evaluate Ratio Factor for Bevel Gear?

FAQs on Ratio Factor for Bevel Gear

Variable Name