Addendum of Pinion Calculator

✖Number of teeth on pinion is the count of teeth on pinion.ⓘ Number of Teeth on Pinion [Z_p]			+10% -10%
✖Number of teeth on wheel is the count of teeths on the wheel.ⓘ Number of Teeth on Wheel [T]			+10% -10%
✖The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.ⓘ Pressure Angle of Gear [Φ_gear]			+10% -10%

✖Addendum of pinion is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line.ⓘ Addendum of Pinion [A_p]

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Addendum of Pinion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1)
A_p = Z_p/2*(sqrt(1+T/Z_p*(T/Z_p+2)*(sin(Φ_gear))^2)-1)
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Addendum of Pinion - (Measured in Meter) - Addendum of pinion is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line.
Number of Teeth on Pinion - Number of teeth on pinion is the count of teeth on pinion.
Number of Teeth on Wheel - Number of teeth on wheel is the count of teeths on the wheel.
Pressure Angle of Gear - (Measured in Radian) - The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

STEP 1: Convert Input(s) to Base Unit

Number of Teeth on Pinion: 8 --> No Conversion Required
Number of Teeth on Wheel: 12 --> No Conversion Required
Pressure Angle of Gear: 32 Degree --> 0.55850536063808 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_p = Z_p/2*(sqrt(1+T/Z_p*(T/Z_p+2)*(sin(Φ_gear))^2)-1) --> 8/2*(sqrt(1+12/8*(12/8+2)*(sin(0.55850536063808))^2)-1)

Evaluating ... ...

A_p = 2.29193228148959

STEP 3: Convert Result to Output's Unit

2.29193228148959 Meter -->2291.93228148959 Millimeter (Check conversion here)

FINAL ANSWER

2291.93228148959 ≈ 2291.932 Millimeter <-- Addendum of Pinion

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Toothed Gearing » Mechanical » Toothed Gear Terminologies » Addendum of Pinion

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National Institute Of Technology (NIT), Hamirpur

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< Toothed Gear Terminologies Calculators

Addendum of Pinion

LaTeX Go Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1)

Work Output on Driven

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*pi*Pitch Circle Diameter of Gear 2*Speed of Gear 2

Work Output on Driver

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1

Torque Exerted on Gear Shaft

LaTeX Go Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2

Addendum of Pinion Formula

LaTeX Go

What is addendum?

The addendum is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line; also, the radial distance between the pitch diameter and the outside diameter.

How to Calculate Addendum of Pinion?

Addendum of Pinion calculator uses Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1) to calculate the Addendum of Pinion, Addendum of Pinion formula is defined as the radial distance from the pitch circle to the top land of a tooth in a toothed gear, which is a critical parameter in gear design that affects the gear's performance and efficiency. Addendum of Pinion is denoted by A_p symbol.

How to calculate Addendum of Pinion using this online calculator? To use this online calculator for Addendum of Pinion, enter Number of Teeth on Pinion (Z_p), Number of Teeth on Wheel (T) & Pressure Angle of Gear (Φ_gear) and hit the calculate button. Here is how the Addendum of Pinion calculation can be explained with given input values -> 2.3E+6 = 8/2*(sqrt(1+12/8*(12/8+2)*(sin(0.55850536063808))^2)-1).

FAQ

What is Addendum of Pinion?

Addendum of Pinion formula is defined as the radial distance from the pitch circle to the top land of a tooth in a toothed gear, which is a critical parameter in gear design that affects the gear's performance and efficiency and is represented as A_p = Z_p/2*(sqrt(1+T/Z_p*(T/Z_p+2)*(sin(Φ_gear))^2)-1) or Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1). Number of teeth on pinion is the count of teeth on pinion, Number of teeth on wheel is the count of teeths on the wheel & The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

How to calculate Addendum of Pinion?

Addendum of Pinion formula is defined as the radial distance from the pitch circle to the top land of a tooth in a toothed gear, which is a critical parameter in gear design that affects the gear's performance and efficiency is calculated using Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1). To calculate Addendum of Pinion, you need Number of Teeth on Pinion (Z_p), Number of Teeth on Wheel (T) & Pressure Angle of Gear (Φ_gear). With our tool, you need to enter the respective value for Number of Teeth on Pinion, Number of Teeth on Wheel & Pressure Angle of 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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