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1/4-20 UNC Tap Drill Size

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

1/4-20 UNC tap drill — 75% thread #7 0.2010" · 5.1 mm metric equivalent

How it's calculated

Tap drill = major diameter − (0.01299 × %thread) / TPI  →  0.2500 − (0.01299 × 75) / 20 = 0.2013"

The nearest standard drill above that is #7 at 0.2010".

All engagement percentages

% threadExact hole Inch drill Metric equivalent
50%0.2175"7/32 (0.2188")5.5 mm
65%0.2078"#4 (0.2090")5.3 mm
75%0.2013"#7 (0.2010")5.1 mm
85%0.1948"#9 (0.1960")4.9 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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