Enter the feed rate, cutting speed, chip load, and number of teeth into the calculator to determine the machining force using the Hakki equation. This calculator helps in estimating the force required during a milling operation.

Hakki Equation Formula

The following formula is used to calculate the machining force.

F ={f}/{v c*z} c* n

Variables:

  • F is the machining force (N)
  • f is the feed rate (mm/min)
  • v is the cutting speed (m/min)
  • z is the chip load (mm/tooth)
  • n is the number of teeth

To calculate the machining force, divide the feed rate by the product of the cutting speed and the chip load, then multiply by the number of teeth.

What is the Hakki Equation?

The Hakki equation is a formula used to estimate the machining force during milling operations. It takes into account the feed rate, cutting speed, chip load, and the number of teeth on the cutting tool. This equation is useful for engineers and machinists to predict the forces involved and to optimize the milling process for efficiency and tool life.

How to Calculate Machining Force?

The following steps outline how to calculate the Machining Force using the Hakki Equation.


  1. First, determine the feed rate (f) in mm/min.
  2. Next, determine the cutting speed (v) in m/min.
  3. Next, determine the chip load (z) in mm/tooth.
  4. Next, determine the number of teeth (n) on the cutting tool.
  5. Next, gather the formula from above = F = (f / (v * z)) * n.
  6. Finally, calculate the Machining Force (F) in Newtons (N).
  7. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Feed Rate (f) = 150 mm/min

Cutting Speed (v) = 100 m/min

Chip Load (z) = 0.25 mm/tooth

Number of Teeth (n) = 4