Ratio Factor for Bevel Gear Calculator

✖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.ⓘ Number of Teeth on Bevel Gear [z_g]			+10% -10%
✖Number of Teeth on Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion.ⓘ Number of Teeth on Pinion [z_p]			+10% -10%
✖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.ⓘ Pitch Angle for Bevel Gear [γ]			+10% -10%

✖Ratio Factor for bevel gear is defined as the ratio used in the design of a Bevel Gear.ⓘ Ratio Factor for Bevel Gear [Q_b]

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Ratio Factor for Bevel Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q_b = (2*z_g)/(z_g+z_p*tan(γ))
This formula uses 1 Functions, 4 Variables

Functions Used

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., tan(Angle)

Variables Used

Ratio Factor for Bevel Gear - Ratio Factor for bevel gear is defined as the ratio used in the design of a 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.
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.
Pitch Angle for Bevel Gear - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Number of Teeth on Bevel Gear: 12 --> No Conversion Required
Number of Teeth on Pinion: 6 --> No Conversion Required
Pitch Angle for Bevel Gear: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_b = (2*z_g)/(z_g+z_p*tan(γ)) --> (2*12)/(12+6*tan(1.0471975511964))

Evaluating ... ...

Q_b = 1.07179676972472

STEP 3: Convert Result to Output's Unit

1.07179676972472 --> No Conversion Required

FINAL ANSWER

1.07179676972472 ≈ 1.071797 <-- Ratio Factor for Bevel Gear

(Calculation completed in 00.004 seconds)

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< Performance Factors Calculators

Ratio Factor for Bevel Gear

LaTeX Go 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))

Velocity Factor for Generated Teeth of Bevel Gear

LaTeX Go Velocity Factor for Generated Teeth = 5.6/(5.6+sqrt(Pitch Line Velocity of Bevel Gear))

Bevel Factor

LaTeX Go Bevel Factor = 1-Face Width of Bevel Gear Tooth/Cone Distance

Velocity Factor for Cut Teeth of Bevel Gear

LaTeX Go Velocity Factor for Cut Teeth = 6/(6+Pitch Line Velocity of Bevel Gear)

Ratio Factor for Bevel Gear Formula

LaTeX Go

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))
Q_b = (2*z_g)/(z_g+z_p*tan(γ))

Why ratio factor ?

The ratio factor is used to calculate the wear strength of the Bevel gear which is then can be verified for the failure of the gear due to pitting.

How to Calculate Ratio Factor for Bevel Gear?

Ratio Factor for Bevel Gear calculator 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 calculate 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 calculate Ratio Factor for Bevel Gear using this online calculator? To use this online calculator 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. Here is how the Ratio Factor for Bevel Gear calculation can be explained with given input values -> 1.509708 = (2*12)/(12+6*tan(1.0471975511964)).

FAQ

What is 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 and is represented as Q_b = (2*z_g)/(z_g+z_p*tan(γ)) or 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)). 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, Number of Teeth on Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion & 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.

How to calculate 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 is calculated using 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 calculate Ratio Factor for Bevel Gear, you need Number of Teeth on Bevel Gear (z_g), Number of Teeth on Pinion (z_p) & Pitch Angle for Bevel Gear (γ). With our tool, you need to enter the respective value for Number of Teeth on Bevel Gear, Number of Teeth on Pinion & Pitch Angle for Bevel Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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