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M33×2 Tap Drill Size

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

M33×2 tap drill — 75% thread 31 mm 31.051 mm exact · nearest inch drill 39/32 (1.2188")

How it's calculated

Tap drill = major diameter − pitch  →  33 − 2 = 31 mm

The exact 75% figure is major − (pitch × 75 / 76.98). The simple subtract-the-pitch rule lands within a hundredth of a millimetre of it, which is why every machinist uses it.

All engagement percentages

% threadExact hole Metric drill Inch equivalent
50%31.701 mm31.5 mm1.2344" (79/64 drill)
65%31.311 mm31.5 mm1.2344" (79/64 drill)
75%31.051 mm31 mm1.2188" (39/32 drill)
85%30.792 mm31 mm1.2188" (39/32 drill)
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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