Free Engineering Tool
Bolt Pattern Calculator
Calculate X,Y coordinates, angles, and adjacent hole distances for any bolt circle pattern. Includes interactive SVG visualization with numbered holes.
PCDX,Y CoordinatesSVG Visual
Bolt Pattern
Distance Between Adjacent Holes
—
| Hole # | Angle (°) | X (mm) | Y (mm) |
|---|
Bolt Hole Coordinates
For a bolt circle with N bolts on a PCD of diameter D, starting at angle θ₀:
Xi = (D/2) × sin(θ₀ + i × 360°/N)
Yi = (D/2) × cos(θ₀ + i × 360°/N)
Yi = (D/2) × cos(θ₀ + i × 360°/N)
Distance Between Adjacent Holes
d = D × sin(π/N)
This is the chord length between adjacent equally-spaced holes on the bolt circle.
Common Bolt Patterns
| Bolts | Angle Between | Typical Use |
|---|---|---|
| 3 | 120° | Small flanges, sensor mounts |
| 4 | 90° | Square flanges, bearing housings |
| 6 | 60° | Medium flanges, pipe flanges DN50–DN150 |
| 8 | 45° | Standard flanges, DN150–DN300 |
| 12 | 30° | Large flanges, DN300–DN600 |
| 16 | 22.5° | Large pressure vessel flanges |
| 20 | 18° | Very large flanges, turbine casings |
| 24 | 15° | Large reactor vessels |
Standard Flange PCD Reference (EN 1092-1, PN16)
| DN | PCD (mm) | Bolts | Bolt Size |
|---|---|---|---|
| DN25 | 85 | 4 | M12 |
| DN50 | 125 | 4 | M16 |
| DN80 | 160 | 8 | M16 |
| DN100 | 190 | 8 | M16 |
| DN150 | 250 | 8 | M20 |
| DN200 | 310 | 8 or 12 | M20 |
| DN250 | 370 | 12 | M24 |
| DN300 | 430 | 12 | M24 |
| DN400 | 535 | 16 | M27 |
| DN500 | 650 | 20 | M30 |
| DN600 | 770 | 20 | M33 |
Tips for CNC/DRO Work
- The X,Y coordinates shown assume the center of the bolt circle is at origin (0,0)
- For CNC work, add your actual center position offset to all coordinates
- The starting angle of 0° is at the 12 o’clock position (positive Y axis)
- Angles increase clockwise (conventional for bolt patterns)
- Always verify coordinates by checking the adjacent distance matches the calculated chord length
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