V-Bit Depth Calculator
Plotly Graph
The graph below maps groove width against cut depth for the entered V-bit angle and tip diameter.
Example Data Table
| Angle (°) | Target Width | Tip Diameter | Flute Length | Pass Limit | Calculated Depth | Within Flute |
|---|---|---|---|---|---|---|
| 60 | 6 mm | 0.2 mm | 12 mm | 1.5 mm | 5.0229 mm | Yes |
| 90 | 8 mm | 0 mm | 10 mm | 2 mm | 4 mm | Yes |
| 30 | 3.5 mm | 0.1 mm | 6 mm | 0.5 mm | 6.3445 mm | No |
| 120 | 10 mm | 0.5 mm | 8 mm | 1 mm | 2.7424 mm | Yes |
These sample rows show how angle and width change the final plunge depth. Narrow angles cut deeper for the same top width.
Formula Used
Depth = (Target Width - Tip Diameter) / (2 × tan(Included Angle / 2))
Max Width = Tip Diameter + 2 × Flute Length × tan(Included Angle / 2)
Side Length = Depth / cos(Included Angle / 2)
Area = ((Target Width + Tip Diameter) / 2) × Depth
Meaning of the geometry:
The calculator assumes a symmetric V-bit. The included angle is the full angle at the tool tip. Width grows equally on both sides as depth increases.
If the tool has a flat tip, the width starts from that tip diameter. If the tip is sharp, use zero.
How to Use This Calculator
- Choose a consistent unit system.
- Enter the V-bit included angle.
- Enter the target groove or chamfer width.
- Enter the actual tip diameter.
- Enter flute length to verify reach.
- Enter pass depth for a pass estimate.
- Enter material thickness for through-cut checking.
- Press calculate to display results above the form.
Frequently Asked Questions
1) What does this calculator estimate?
It estimates the plunge depth needed to achieve a chosen top cut width with a V-bit. It also reports side length, section area, flute-limit width, pass count, and a basic through-cut check.
2) Why does a smaller angle create more depth?
A narrower included angle spreads more slowly as the tool goes down. That means the cutter must plunge deeper to reach the same surface width.
3) Why should I enter tip diameter?
Real tools are not always perfectly sharp. A flat or worn tip changes the geometry immediately. Entering tip diameter makes the depth result closer to actual shop conditions.
4) What does flute length checking prevent?
It helps you avoid asking the cutter to cut deeper than its usable flute length. Exceeding that limit can cause rubbing, excess heat, poor finish, and dimensional errors.
5) Can I use inches instead of millimeters?
Yes. The math is unit-consistent. Just keep every entered dimension in the same unit system. The results will then be returned in that same unit.
6) Does the pass count replace machining judgment?
No. It is a planning estimate only. Material hardness, spindle speed, rigidity, coating, and chip evacuation still affect what pass depth is safe in practice.
7) Does this calculator model tool deflection?
No. It models ideal geometry. It does not predict runout, chatter, deflection, wear, spindle error, or material spring-back. Use test cuts for final validation.
8) Can I use this for engraving and chamfers?
Yes. It works well for engraved grooves, V-carving passes, and chamfer planning, as long as the tool behaves like a symmetric V-bit and your entered dimensions are accurate.