Unified Thread Calculator

TAPPING & THREADING

Unified thread calculator finds tap drill, pitch diameter, and minor diameter for a standard UN/UNC/UNF thread from its major diameter and threads per inch (TPI).

Tap Drill Diameter—
Pitch Diameter—
Minor Diameter—
Pitch = 1/TPI. Tap Drill ≈ Major Dia − (1.0825/TPI). Pitch Dia = Major Dia − 0.6495/TPI. Minor Dia = Major Dia − 1.0825/TPI.

How it works

Unified (inch) threads are specified by major diameter and TPI rather than pitch directly, so pitch is first derived as 1 divided by TPI before the pitch and minor diameter formulas are applied. As with metric threads, a finer TPI removes less material and leaves a stronger, shallower thread profile.

FAQ

What’s the difference between UNC and UNF for the same diameter? UNC (coarse) uses fewer threads per inch and cuts a deeper thread, generally preferred for general-purpose fastening and easier tapping in softer materials. UNF (fine) uses more threads per inch for a shallower thread, often chosen for thin materials or where finer positioning is needed.

Related Guides

CNC Calculators · Metric Thread Calculator · Thread Turning Calculator

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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.