Addendum of Rack Calculator

✖Number of teeth on pinion is the count of teeth on pinion.ⓘ Number of Teeth on Pinion [Z_p]			+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 rack 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 Rack [A_R]

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Addendum of Rack Solution

STEP 0: Pre-Calculation Summary

Formula Used

Addendum of Rack = (Number of Teeth on Pinion*(sin(Pressure Angle of Gear))^2)/2
A_R = (Z_p*(sin(Φ_gear))^2)/2
This formula uses 1 Functions, 3 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)

Variables Used

Addendum of Rack - (Measured in Meter) - Addendum of rack 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.
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
Pressure Angle of Gear: 32 Degree --> 0.55850536063808 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_R = (Z_p*(sin(Φ_gear))^2)/2 --> (8*(sin(0.55850536063808))^2)/2

Evaluating ... ...

A_R = 1.12325770642147

STEP 3: Convert Result to Output's Unit

1.12325770642147 Meter -->1123.25770642147 Millimeter (Check conversion here)

FINAL ANSWER

1123.25770642147 ≈ 1123.258 Millimeter <-- Addendum of Rack

(Calculation completed in 00.004 seconds)

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

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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 Rack Formula

LaTeX Go

Addendum of Rack = (Number of Teeth on Pinion*(sin(Pressure Angle of Gear))^2)/2
A_R = (Z_p*(sin(Φ_gear))^2)/2

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.

What do you understand by Interference in gears?

When two gears are in mesh at one instant there is a chance to mate an involute portion with a non-involute portion of the mating gear. This phenomenon is known as "interference" and occurs when the number of teeth on the smaller of the two meshing gears is less than a required minimum.

How to Calculate Addendum of Rack?

Addendum of Rack calculator uses Addendum of Rack = (Number of Teeth on Pinion*(sin(Pressure Angle of Gear))^2)/2 to calculate the Addendum of Rack, Addendum of Rack 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 and manufacturing, as it affects the gear's strength, durability, and overall performance. Addendum of Rack is denoted by A_R symbol.

How to calculate Addendum of Rack using this online calculator? To use this online calculator for Addendum of Rack, enter Number of Teeth on Pinion (Z_p) & Pressure Angle of Gear (Φ_gear) and hit the calculate button. Here is how the Addendum of Rack calculation can be explained with given input values -> 1.1E+6 = (8*(sin(0.55850536063808))^2)/2.

FAQ

What is Addendum of Rack?

Addendum of Rack 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 and manufacturing, as it affects the gear's strength, durability, and overall performance and is represented as A_R = (Z_p*(sin(Φ_gear))^2)/2 or Addendum of Rack = (Number of Teeth on Pinion*(sin(Pressure Angle of Gear))^2)/2. Number of teeth on pinion is the count of teeth on pinion & 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 Rack?

Addendum of Rack 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 and manufacturing, as it affects the gear's strength, durability, and overall performance is calculated using Addendum of Rack = (Number of Teeth on Pinion*(sin(Pressure Angle of Gear))^2)/2. To calculate Addendum of Rack, you need Number of Teeth on Pinion (Z_p) & Pressure Angle of Gear (Φ_gear). With our tool, you need to enter the respective value for Number of Teeth on Pinion & 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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