Cutting Force Calculator

Formula

The formula to calculate the cutting force is:

\[ \text{Ft} = \sigma \times \text{A} \times \text{Z} \times \text{E} \times \text{T} \]

Where:

\(\text{Ft}\) is the tangential cutting force of the milling operation
\(\sigma\) is the ultimate tensile strength of the material
\(\text{A}\) is the cross-sectional area of the uncut chip
\(\text{Z}\) is the number of engaged teeth with the workpiece
\(\text{E}\) is the engagement factor of the workpiece material
\(\text{T}\) is the cutting tool wear factor

What is a Cutting Force?

A cutting force is defined as the total tangential force acting on a material during a cutting or milling operation. It is a critical parameter in machining processes, influencing the quality of the finished product and the efficiency of the operation.

Example Calculation 1

Let's assume the following values:

Ultimate Tensile Strength (σ) = 500 MPa
Cross-Sectional Area (A) = 2 mm²
Number of Engaged Teeth (Z) = 3
Engagement Factor (E) = 0.8
Cutting Tool Wear Factor (T) = 1.2

Using the formula:

\[ \text{Ft} = 500 \times 2 \times 3 \times 0.8 \times 1.2 = 2880 \text{ N} \]

The Cutting Force is 2880 N.

Example Calculation 2

Let's assume the following values:

Ultimate Tensile Strength (σ) = 600 MPa
Cross-Sectional Area (A) = 1.5 mm²
Number of Engaged Teeth (Z) = 4
Engagement Factor (E) = 0.9
Cutting Tool Wear Factor (T) = 1.1

Using the formula:

\[ \text{Ft} = 600 \times 1.5 \times 4 \times 0.9 \times 1.1 = 3564 \text{ N} \]

The Cutting Force is 3564 N.