Addendum of the wheel Calculator

Category	Physics ↺
Physics	Theory of Machine ↺
Theory-Of-Machine	Toothed Gearing ↺

✖Number of teeth on the wheel is the count of teeths on the wheel.ⓘ Number of teeth on the wheel [T]			+10% -10%
✖ Number of teeth on the pinion is the count of teeth on pinionⓘ Number of teeth on the pinion [t]			+10% -10%
✖Pressure angle is the angle which the common normal to the base circles.ⓘ Pressure angle [Φ]			+10% -10%

✖Addendum of the wheel 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 the wheel [A_w]

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Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 200+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Length of path of contact

Path of contact=(sqrt(( Radius of addendum circle of wheel^2)-((Radius of pitch circle of wheel^2)*(cos(Pressure angle))^2)))+(sqrt((Radius of addendum circle of pinion^2)-((Radius of pitch circle of pinion^2)*(cos(Pressure angle))^2)))-((Radius of pitch circle of wheel+Radius of pitch circle of pinion)*sin(Pressure angle)) GO

Length of path of approach

Path of approach=(sqrt(( Radius of addendum circle of wheel^2)-((Radius of pitch circle of wheel^2)*(cos(Pressure angle))^2)))-(Radius of pitch circle of wheel*sin(Pressure angle)) GO

Length of path of recess

Path of recess=(sqrt((Radius of addendum circle of pinion^2)-((Radius of pitch circle of pinion^2)*(cos(Pressure angle))^2)))-(Radius of pitch circle of pinion*sin(Pressure angle)) GO

Radius of base circle of pinion

Radius of base circle of pinion=Radius of pitch circle of pinion*cos(Pressure angle) GO

Radius of base circle of wheel

Radius of base circle of wheel=Radius of pitch circle of wheel*cos(Pressure angle) GO

Circular pitch

Circular pitch=(pi*Diameter of the pitch circle)/Number of teeth on the wheel GO

Diametral Pitch

Diametral pitch=Number of teeth on the wheel/Diameter of the pitch circle GO

Module

Module=Diameter of the pitch circle/Number of teeth on the wheel GO

Length of arc of contact

Length of arc of contact=Path of contact/cos(Pressure angle) GO

Tangential force on gear shaft

Tangential Force=Maximum tooth pressure*cos(Pressure angle) GO

Normal force on gear shaft

Normal Force=Maximum tooth pressure*sin(Pressure angle) GO

Addendum of the wheel Formula

Addendum of the wheel=(Number of teeth on the wheel/2)*((sqrt(1+(( Number of teeth on the pinion/Number of teeth on the wheel)*(( Number of teeth on the pinion/Number of teeth on the wheel)+2)*(sin(Pressure angle))^2)))-1)

More formulas

Circular pitch GO

Module GO

Diametral pitch in terms of circular pitch GO

Diametral Pitch GO

Tangential force on gear shaft GO

Normal force on gear shaft GO

Torque exerted on the gear shaft GO

Length of path of contact GO

Length of path of recess GO

Length of path of approach GO

Circular pitch GO

Length of arc of contact GO

Contact ratio GO

Radius of base circle of wheel GO

Radius of base circle of pinion GO

Maximum length of arc of approach GO

Maximum length of path of contact GO

Maximum length of path of recess GO

Maximum length of path of approach GO

Gear ratio GO

Addendum of the pinion GO

Minimum number of teeth on the pinion in order to avoid interference GO

Minimum number of teeth on the pinion in order to avoid interference if pinion and wheel have equal teeth GO

Minimum number of teeth on the pinion in order to avoid interference GO

Minimum number of teeth on the wheel in order to avoid interference if pinion and wheel have equal teeth GO

Minimum number of teeth on the pinion in order to avoid interference in terms of addendum of wheels GO

Addendum of the rack GO

Minimum number of teeth on a pinion for involute rack in order to avoid interference GO

Circular pitch for helical gears GO

Axial thrust on driven GO

Axial thrust on driver GO

Maximum efficiency of spiral gears GO

Efficiency of spiral gears GO

Work output on the driven GO

Work output on the driver GO

Force applied tangentially on the driver GO

Resisting force acting tangentially on the driven GO

Shaft angle 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 the wheel?

Addendum of the wheel calculator uses Addendum of the wheel=(Number of teeth on the wheel/2)*((sqrt(1+(( Number of teeth on the pinion/Number of teeth on the wheel)*(( Number of teeth on the pinion/Number of teeth on the wheel)+2)*(sin(Pressure angle))^2)))-1) to calculate the Addendum of the wheel, Addendum of the wheel 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 the wheel and is denoted by A_w symbol.

How to calculate Addendum of the wheel using this online calculator? To use this online calculator for Addendum of the wheel, enter Number of teeth on the wheel (T), Pressure angle (Φ) and Number of teeth on the pinion (t) and hit the calculate button. Here is how the Addendum of the wheel calculation can be explained with given input values -> 1566.373 = (12/2)*((sqrt(1+((10/12)*((10/12)+2)*(sin(30))^2)))-1).

FAQ

What is Addendum of the wheel?

Addendum of the wheel 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 and is represented as A_w=(T/2)*((sqrt(1+((t/T)*((t/T)+2)*(sin(Φ))^2)))-1) or Addendum of the wheel=(Number of teeth on the wheel/2)*((sqrt(1+(( Number of teeth on the pinion/Number of teeth on the wheel)*(( Number of teeth on the pinion/Number of teeth on the wheel)+2)*(sin(Pressure angle))^2)))-1). Number of teeth on the wheel is the count of teeths on the wheel, Pressure angle is the angle which the common normal to the base circles and Number of teeth on the pinion is the count of teeth on pinion.

How to calculate Addendum of the wheel?

Addendum of the wheel 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 is calculated using Addendum of the wheel=(Number of teeth on the wheel/2)*((sqrt(1+(( Number of teeth on the pinion/Number of teeth on the wheel)*(( Number of teeth on the pinion/Number of teeth on the wheel)+2)*(sin(Pressure angle))^2)))-1). To calculate Addendum of the wheel, you need Number of teeth on the wheel (T), Pressure angle (Φ) and Number of teeth on the pinion (t). With our tool, you need to enter the respective value for Number of teeth on the wheel, Pressure angle and Number of teeth on the pinion 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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