How to Calculate Drill Tip Length
The drill tip length calculator helps machinists and manufacturers determine the length of a drill bit's conical tip based on the drill diameter and tip angle. This measurement is crucial for precision drilling operations and tool design.
Formula
The drill tip length is calculated using:
$$\text{Drill Tip Length} = \frac{D / 2}{\tan(\alpha / 2)}$$
Where:
- D = Drill diameter (inches or mm)
- (\alpha) = Tip angle (degrees)
- DTL = Drill tip length (same units as diameter)
Calculation Steps
- Measure the drill diameter - The full diameter of the drill bit
- Identify the tip angle - Most common is 118 degrees for general purpose drilling
- Divide diameter by 2 - Get the radius
- Calculate half the tip angle - Divide tip angle by 2
- Find the tangent - Convert half-angle to radians and calculate tan
- Divide radius by tangent - This gives the tip length
Example Calculation
For a drill with 8 inches diameter and 60 degree tip angle:
$$\text{DTL} = \frac{8 / 2}{\tan(60^\circ / 2)} = \frac{4}{\tan(30^\circ)} = \frac{4}{0.577} \approx 6.93 \text{ inches}$$
Common Tip Angles
- 118 degrees - Standard twist drill, general purpose
- 135 degrees - Split point drill, harder materials
- 90 degrees - Center drill
- 60 degrees - Spotting drill
- 180 degrees - Flat drill (zero tip length)