1/2-13 UNC Thread Dimensions and Tap Drill
1/2-13 UNC is the Unified coarse thread for the 1/2 in (12.70 mm) diameter: 13 threads per inch, a pitch of 0.07692 in (1.954 mm), on a 60° profile. ASME B1.1 lists it in the UNC series. Finer threads on the same diameter are 1/2-20 UNF and 1/2-28 UNEF.
1/2-13 is a standard size for structural, machinery and anchor bolts.
- Tap drill27/64"78% thread, 10.72 mm
- Pitch13 TPI1.954 mm
- Major diameter0.5000 in12.700 mm
- Pitch diameter0.4500 in11.431 mm
- Minor diameter (nut)0.4167 in10.585 mm
- Tensile stress area0.1419 in²91.5 mm²
- Clearance hole9/16 innormal fit, ASME B18.2.8
Thread profile
1/2-13 UNC basic dimensions
| Dimension | in | mm |
|---|---|---|
| Major diameter d = D | 0.5000 | 12.700 |
| Pitch P | 0.07692 | 1.954 |
| Pitch diameter d2 = D2 | 0.4500 | 11.431 |
| Minor diameter, internal thread D1 | 0.4167 | 10.585 |
| Minor diameter, external UNR thread d3 | 0.4084 | 10.373 |
| Height of fundamental triangle H | 0.0666 | 1.692 |
| Thread height, internal (5H/8) | 0.0416 | 1.058 |
| Thread height, external (11H/16) | 0.0458 | 1.163 |
| Crest flat of external thread (P/8) | 0.0096 | 0.244 |
| Crest flat of internal thread (P/4) | 0.0192 | 0.488 |
| Property | Value |
|---|---|
| Threads per inch | 13 |
| Flank angle | 60° (30° each side) |
| Lead angle at the pitch diameter | 3.11° |
| Tensile stress area As | 0.1419 in² (91.5 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.
1/2-13 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 0.0015 in, so its maximum size is that much below basic; the 2B nut starts at the basic size.
| External thread 2A | Max (in) | Min (in) | Tolerance (in) |
|---|---|---|---|
| Major diameter | 0.4985 | 0.4876 | 0.0109 |
| Pitch diameter | 0.4485 | 0.4435 | 0.0050 |
| Internal thread 2B | Max (in) | Min (in) | Tolerance (in) |
|---|---|---|---|
| Minor diameter | 0.434 | 0.417 | 0.0170 |
| Pitch diameter | 0.4565 | 0.4500 | 0.0065 |
Limits of size from ASME B1.1 Table 2.
1/2-13 UNC tap drill size
Tap drill for 1/2-13 UNC: 27/64" (0.4219 in, 10.72 mm)
This leaves about 78% thread in the tapped hole.
27/64" is the drill listed for 1/2-13 UNC in standard tap drill charts. It is 0.0781 in under the 0.5000 in major diameter.
The 2B minor diameter of the finished nut thread must lie between 0.417 and 0.434 in. The recommended drill falls inside that band.
Other drills that work for 1/2-13 UNC
A larger drill cuts less thread and taps more easily; a smaller one gives a fuller thread but loads the tap harder.
| Drill | mm | in | % thread | Within 2B limits | Thread engagement |
|---|---|---|---|---|---|
| Z | 10.49 | 0.4130 | 87% | no | |
| 10.7 mm | 10.70 | 0.4213 | 79% | yes | |
| 27/64"recommended | 10.72 | 0.4219 | 78% | yes | |
| 7/16" | 11.11 | 0.4375 | 63% | no |
% thread = (major diameter − drill diameter) ÷ (1.299 × pitch). See the tap drill chart for how to choose a percentage.
Clearance hole for 1/2 in
The clearance hole depends only on the 0.5000 in diameter, not on the thread series. The normal fit, a 9/16 in drill, is the usual choice for general assembly.
| Fit | Drill | Hole Ø (in) | Hole Ø (mm) | Clearance on Ø (in) |
|---|---|---|---|---|
| Close | 17/32 in | 0.5312 | 13.49 | 0.0312 |
| Normal | 9/16 in | 0.5625 | 14.29 | 0.0625 |
| Loose | 39/64 in | 0.6094 | 15.48 | 0.1094 |
Nominal drill sizes from ASME B18.2.8.
1/2-13 UNC proof and breaking loads
Loads for steel bolts by SAE grade, from the tensile stress area of 0.1419 in². The proof load is the highest load the bolt must carry without permanent set.
| SAE grade | Proof stress (psi) | Min tensile strength (psi) | Proof load (lbf) | Min breaking load (lbf) | Proof load (kN) |
|---|---|---|---|---|---|
| Grade 2 | 55,000 | 74,000 | 7,800 | 10,500 | 34.7 |
| Grade 5 | 85,000 | 120,000 | 12,100 | 17,000 | 53.7 |
| Grade 8 | 120,000 | 150,000 | 17,000 | 21,300 | 75.7 |
Strengths from SAE J429 for this diameter; stress area from ASME B1.1. Loads rounded to three significant figures.
1/2 in pitches compared
All standard pitches on the 1/2 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.
| Thread | TPI | Pitch Ø (in) | Minor Ø D1 (in) | Stress area (in²) | Tap drill |
|---|---|---|---|---|---|
| 1/2-13 UNC | 13 | 0.4500 | 0.4167 | 0.1419 | 27/64" |
| 1/2-20 UNF | 20 | 0.4675 | 0.4459 | 0.1599 | 29/64" |
| 1/2-28 UNEF | 28 | 0.4768 | 0.4613 | 0.170 | 15/32" |
Closest metric thread
No metric thread is interchangeable with 1/2-13 UNC. The nearest is M12×1.75, which is 0.70 mm smaller in diameter with a pitch of 1.750 mm against 1.954 mm. A nut may start on the wrong thread and then bind or strip, so identify by both diameter and pitch.
How the 1/2-13 UNC dimensions are calculated
Every basic dimension follows from the major diameter and the pitch:
- P = 0.07692 in = 1 ÷ 13 threads per inch
- H = 0.866025 × P = 0.0666 in
- d2 = d − 0.649519 × P = 0.5000 − 0.0500 = 0.4500 in
- D1 = d − 1.082532 × P = 0.5000 − 0.0833 = 0.4167 in
- d3 = d − 1.190785 × P = 0.5000 − 0.0916 = 0.4084 in (external root, 11H/16 deep)
- As = 0.7854 × (d − 0.9743 × P)² = 0.7854 × 0.4251² = 0.14190 in²
- Lead angle = arctan(P ÷ (π × d2)) = 3.11°
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.