7/8-9 UNC Thread Dimensions and Tap Drill

7/8-9 UNC is the Unified coarse thread for the 7/8 in (22.22 mm) diameter: 9 threads per inch, a pitch of 0.11111 in (2.822 mm), on a 60° profile. ASME B1.1 lists it in the UNC series. Finer threads on the same diameter are 7/8-14 UNF and 7/8-20 UNEF.

Thread profile

major Ø0.875 in10 threads = 1.111 in
7/8-9 UNC drawn to scale: 18 threads in 2.00 in of length.
60°Nut (internal thread)Bolt (external thread)P = 0.1111 inmajor Ø d0.8750 inpitch Ø d20.8028 inminor Ø D10.7547 in5H/8 = 0.0601 inthread axis
Basic profile with the 7/8-9 UNC dimensions. The nut and bolt share the same pitch diameter.

7/8-9 UNC basic dimensions

Dimensioninmm
Major diameter d = D0.875022.225
Pitch P0.111112.822
Pitch diameter d2 = D20.802820.392
Minor diameter, internal thread D10.754719.170
Minor diameter, external UNR thread d30.742718.864
Height of fundamental triangle H0.09622.444
Thread height, internal (5H/8)0.06011.528
Thread height, external (11H/16)0.06621.680
Crest flat of external thread (P/8)0.01390.353
Crest flat of internal thread (P/4)0.02780.706
PropertyValue
Threads per inch9
Flank angle60° (30° each side)
Lead angle at the pitch diameter2.52°
Tensile stress area As0.462 in² (298 mm²)

Basic (nominal) sizes per ASME B1.1, before tolerances. A UN external thread with a flat root has the same basic minor diameter as the nut (D1); d3 applies to the rounded UNR root.

7/8-9 UNC limits of size (class 2A bolt, 2B nut)

Classes 2A and 2B are the general-purpose fits for commercial bolts, screws and nuts. The 2A external thread has an allowance of 0.0019 in, so its maximum size is that much below basic; the 2B nut starts at the basic size.

External thread 2AMax (in)Min (in)Tolerance (in)
Major diameter0.87310.85920.0139
Pitch diameter0.80090.79460.0063
Internal thread 2BMax (in)Min (in)Tolerance (in)
Minor diameter0.7780.7550.0230
Pitch diameter0.81100.80280.0082

Limits of size from ASME B1.1 Table 2.

7/8-9 UNC tap drill size

Tap drill for 7/8-9 UNC: 49/64" (0.7656 in, 19.45 mm)

This leaves about 76% thread in the tapped hole.

49/64" is the drill listed for 7/8-9 UNC in standard tap drill charts. It is 0.1094 in under the 0.8750 in major diameter.

The 2B minor diameter of the finished nut thread must lie between 0.755 and 0.778 in. The recommended drill falls inside that band.

Other drills that work for 7/8-9 UNC

A larger drill cuts less thread and taps more easily; a smaller one gives a fuller thread but loads the tap harder.

Drillmmin% threadWithin 2B limitsThread engagement
3/4"19.050.750087%no
49/64"recommended19.450.765676%yes
19.5 mm19.500.767774%yes
25/32"19.840.781265%no
51/64"20.240.796954%no

% thread = (major diameter − drill diameter) ÷ (1.299 × pitch). See the tap drill chart for how to choose a percentage.

Clearance hole for 7/8 in

The clearance hole depends only on the 0.8750 in diameter, not on the thread series. The normal fit, a 15/16 in drill, is the usual choice for general assembly.

FitDrillHole Ø (in)Hole Ø (mm)Clearance on Ø (in)
Close29/32 in0.906223.020.0312
Normal15/16 in0.937523.810.0625
Loose1-1/32 in1.031226.190.1562

Nominal drill sizes from ASME B18.2.8.

7/8-9 UNC proof and breaking loads

Loads for steel bolts by SAE grade, from the tensile stress area of 0.462 in². The proof load is the highest load the bolt must carry without permanent set.

SAE gradeProof stress (psi)Min tensile strength (psi)Proof load (lbf)Min breaking load (lbf)Proof load (kN)
Grade 233,00060,00015,20027,70067.8
Grade 585,000120,00039,30055,400175
Grade 8120,000150,00055,40069,300247

Strengths from SAE J429 for this diameter; stress area from ASME B1.1. Loads rounded to three significant figures.

7/8 in pitches compared

All standard pitches on the 7/8 in diameter. A finer pitch gives a shallower thread, a larger core and a smaller lead angle; a coarser pitch is faster to assemble and more tolerant of damage and plating.

7/8-9 UNCdepth 0.0601 in7/8-14 UNFdepth 0.0387 in7/8-20 UNEFdepth 0.0271 in
7/8 in pitches at the same scale with crests aligned; 7/8-9 UNC is outlined.
ThreadTPIPitch Ø (in)Minor Ø D1 (in)Stress area (in²)Tap drill
7/8-9 UNC90.80280.75470.46249/64"
7/8-14 UNF140.82860.79770.50913/16"
7/8-20 UNEF200.84250.82090.53653/64"

When to choose a coarse or a fine thread

Closest metric thread

No metric thread is interchangeable with 7/8-9 UNC. The nearest is M22×2.5, which is 0.22 mm smaller in diameter with a pitch of 2.500 mm against 2.822 mm. A nut may start on the wrong thread and then bind or strip, so identify by both diameter and pitch.

ThreadMajor Ø (mm)Pitch (mm)TPIØ difference (mm)
7/8-9 UNC (this thread)22.2252.8229.00—
M22×2.522.0002.50010.16-0.225
M22×222.0002.00012.70-0.225
M22×1.522.0001.50016.93-0.225

Identify a thread from measurements

How the 7/8-9 UNC dimensions are calculated

Every basic dimension follows from the major diameter and the pitch:

  • P = 0.11111 in = 1 ÷ 9 threads per inch
  • H = 0.866025 × P = 0.0962 in
  • d2 = d − 0.649519 × P = 0.8750 − 0.0722 = 0.8028 in
  • D1 = d − 1.082532 × P = 0.8750 − 0.1203 = 0.7547 in
  • d3 = d − 1.190785 × P = 0.8750 − 0.1323 = 0.7427 in (external root, 11H/16 deep)
  • As = 0.7854 × (d − 0.9743 × P)² = 0.7854 × 0.7667² = 0.46173 in²
  • Lead angle = arctan(P ÷ (π × d2)) = 2.52°

Related sizes and tools

Sources: ASME B1.1 (profile, series, limits of size and stress area), ASME B18.2.8 (clearance holes), SAE J429 (mechanical properties) and the tap drill tables of Machinery’s Handbook. How this site checks its data. Last reviewed 29 September 2026.