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Calculator Description
Gear Calculator v1
The gear calculator is used to calculate the dimensional and performance properties of mating gear and pinion wheels including tooth profiles and stresses

Spur Gears


Spur gears are used to transmit motion and/or torque from one shaft to another with no slippage. Tooth design is crucial to minimise losses through; noise, heat, wear, etc., one of the primary design characteristics of which is the involute curve of the contact surfaces, which maximises torque transfer and minimises wear.

It is important not to over-design gears as the additional mass will reduce responsiveness and efficiency. I.e. it is always preferable to ensure that a gear assembly is as light and strong as necessary to complete a predetermined design life.

The dominant design standard is ANSI B16.1


Gears calculates the dimensional properties of spur (or straight cut) gear teeth.

You enter the principal specification criteria for your pinion along with the gear ratio (Rᵥ), input power and rotational speed, and the spur gear calculator will determine all the unknown dimensional information of both the pinion and the gear wheel along with the bending and bearing stresses.

Whilst Gears is based upon the ANSI B6.1 design code, non-standard designs are also accommodated, for example ...

... whilst Gears provides all the diametric pitches recognised by ANSI B6.1, it allows you to enter any pitch you like

... you may also enter any pressure angle you wish. You are not limited the ANSI preferred values of 20° and 25°

... Gears includes variable dimensional factors for the tooth addendum and/or dedendum, allowing you to calculate the properties of stub and extended tooth heights

As the gear calculator provides you with the option of designing non-standard pinion and gear wheel assemblies of any configuration it also produces a list of the 'x,y' co-ordinates of your calculated pinion and a gear tooth profile just in case your resultant design is impractical and it is much easier to see potential problems from a graphical representation. You may copy and paste these co-ordinates into your preferred spreadsheet (e.g. Microsoft Excel) using its chart generation facility to draw the tooth profile.

For help using this calculator see Technical Help

You enter and the gear calculator will provide:
  • Diametric Pitch
  • Velocity ratio
  • Pressure angle
  • Power
  • Rotational velocity
  • Number of teeth
  • Thickness (pinion)
  • Thickness (gear)
  • Addendum factor
  • Dedendum factor
  • Common Data:
  • Tangential force
  • Contact force
  • Separation force
  • Circumferential pitch
  • Circular thickness
  • Addendum
  • Dedendum
  • Working depth
  • Total depth
  • Clearance
  • Fillet radius
  • Bearing stress
  • Pinion & Gear Data:
  • Cordal thickness
  • Tooth profile radius
  • Land width
  • Horizontal co-ordinate
  • Vertical co-ordinate
  • Radial co-ordinate
  • Angle co-ordinate
  • Base diameter
  • Root diameter
  • Pitch diameter
  • Outside diameter
  • Torque
  • Bending stress
  • Gear Data:
  • Number of teeth
  • Rotational velocity
  • x,y co-ordinate listing of tooth profiles (pinion and gear)

Check minimum system requirements

Price: £20.00

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