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#6-40 UNF Tap Drill Size

The number you came for, then the reasoning behind it.

#6-40 UNF tap drill — 75% thread #33 0.1130" · 2.9 mm metric equivalent

How it's calculated

Tap drill = major diameter − (0.01299 × %thread) / TPI  →  0.1380 − (0.01299 × 75) / 40 = 0.1136"

The nearest standard drill above that is #33 at 0.1130".

All engagement percentages

% threadExact hole Inch drill Metric equivalent
50%0.1218"#31 (0.1200")3.1 mm
65%0.1169"#32 (0.1160")3 mm
75%0.1136"#33 (0.1130")2.9 mm
85%0.1104"#35 (0.1100")2.8 mm
Which percentage should you actually use?
75% for through-holes in mild steel and aluminium. 65% for blind holes, stainless, titanium and anything where the tap is at risk. 50% for hand-tapping deep holes. The strength you give up going from 75% to 60% is around 5%; the tapping torque you give up is around 30%. In practice the threads almost never fail — the tap does.

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