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Metric thread calculator

Thread diameter
Pitch
Custom pitch
Thread engagement
Tap drill 6.75
Pitch used 1.25
Tap drill at your engagement 6.78
Close clearance hole 8.5
Normal clearance hole 9
Minimum tapping depth 12
Threads per inch 20.3
Local · diameter minus pitch is 76.98% engagement

For coarse ISO metric threads the tap drill is the nominal diameter minus the pitch: an M8×1.25 takes a 6.75 mm hole. That shortcut lands on 76.98 percent thread engagement every time, whatever the size, which is why the charts print it and nothing else.

How to use the metric thread calculator

1 Enter the thread diameter — 8 for an M8 — and leave the pitch on coarse unless you know the fastener is a fine thread.
2 Drop the engagement percentage if you are tapping aluminium, brass or plastic, or raise the drill size for hardened steel.
3 Read the tap drill, then the close and free clearance holes for the part the bolt passes through.

The shortcut is exact arithmetic underneath, not a rule of thumb. On the ISO 60-degree profile, thread engagement is 76.98 × (diameter − hole) ÷ pitch, so putting the hole at diameter minus pitch returns 76.98 percent for M3 and M24 alike. One line covers the whole series, which is the only reason it is memorable.

Chasing 100 percent is the classic mistake. Going from 75 to full engagement buys roughly five percent more thread strength and close to doubles the torque needed to cut it, which is how taps end up sheared off inside a workpiece with no good way to get them out. Under-engaging is the cheap error. Material shifts the target: aluminium, brass and plastics do better at 65 to 70 percent, because the threads strip before the fastener yields anyway, and hardened steel wants a slightly larger hole for no reason other than keeping the tap alive.

The clearance figures come from ISO 273, which defines three fits rather than one. An M8 bolt takes 8.4 mm close, 9 mm medium and 10 mm free, and the choice is about how much tolerance stack-up the assembly has to swallow, not about how tight the finished joint is. Depth is a separate question again: 1.5 diameters is the working minimum for steel into steel, and soft materials need more thread engaged to reach the same pull-out load, which is the point at which a thread insert becomes cheaper than a deeper hole.

What people use it for

  • Finding the tap drill for a size that is not on the chart in the tap box lid
  • Backing off engagement before tapping aluminium or plastic
  • Choosing between a close and a free clearance hole for a bracket
  • Setting a blind hole deep enough for full thread engagement
  • Working out the drill for a fine-pitch thread on an existing part

Questions

6.75 mm for coarse M8×1.25 — the diameter minus the pitch, which puts engagement at 76.98 percent.

ISO 68-1 — ISO general purpose screw threads
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