Pitch Diameter Calculator: Gears, Sprockets & Splines

Calculate Pitch Diameter Instantly


Our Pitch Diameter Calculator is an essential tool for engineers, machinists, and students working with gears, sprockets, and splines. Easily determine the pitch diameter (D) by inputting the number of teeth and either the diametral pitch or the module. Get accurate results for your mechanical designs instantly, ensuring precise component meshing and optimal performance.

Formula:

There are two primary formulas for pitch diameter, depending on whether you're using diametral pitch or module:

  • Using Diametral Pitch (Imperial): D = N / Pd
    • D = Pitch Diameter (in inches)
    • N = Number of Teeth (unitless)
    • Pd = Diametral Pitch (teeth per inch)
  • Using Module (Metric): D = N × M
    • D = Pitch Diameter (in millimeters)
    • N = Number of Teeth (unitless)
    • M = Module (millimeters per tooth)

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