Helical Gear and Pinion Calculator and Equations

Engineering & Design Gear Applications

This calculator will determine the following design variables for a gear and pinion:

  • Transverse DP
  • Circular Pitch
  • Module
  • Pressure Angle
  • Pitch Diameter
HELICAL GEAR CALCULATIONS PINION GEAR  
No. Teeth =  N = Number of teeth (t = pinion  T = gear)
Normal Pitch (DP) =  DP = Normal Diametral Pitch  (  pi/CP  or  [1/MOD] x 25.4  )
Transverse DP =  Trans DP = Norm DP * cos(HA)
Circular Pitch (Inch) =   
Circular Pitch (mm) =   
Module (Inch) =   
Module (mm) =   
Normal Pressure Angle =    PA = Normal Pressure Angle
Transverse Pressure Angle =  tan(TransPA) = tan(NormPA) / cos(HA)
Helix Angle =  HA = Helix Angle
Pitch Diameter (inch, mm) =  Pitch Diameter = N / (Norm DP * cos(HA))
Outside Diameter  (inch, mm) =  OD = PCD + 2 * Corrected Addendum
Correction Factor =  Std. kp = 0.4 * (1 - (t / T))
Center Distance (inch, mm) =   

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