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1/2-13 UNC thread pitch and dimensions

The 1/2-13 UNC thread has 13 threads per inch, a pitch of 0.0769 in (1.95 mm), on a 0.500 in major diameter (ASME B1.1). Its basic pitch diameter is 0.4500 in and its basic minor diameter is 0.4167 in.

Threads per inch (UNC)
13 TPI
pitch 0.0769 in · 1.95 mm
Major diameter (D)
0.500 in (12.7 mm)
Pitch (1 / TPI)
0.0769 in (1.95 mm)
Basic pitch diameter (E)
0.4500 in (11.43 mm)
Basic minor diameter (internal)
0.4167 in (10.58 mm)
Tensile stress area (As)
0.1419 in² (91.5 mm²)
Tap drill (75% chart)
27/64" (0.4219 in)
Hex across flats (ASME B18.2.1)
3/4 in (19.05 mm)

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1/2-13 UNC basic dimensions (ASME B1.1)
DimensionFormulainchmm
Major diameter Dnominal0.500012.7
Pitch P1 / TPI0.07691.95
Pitch diameter ED − 0.649519 / n0.450011.43
Minor diameter (internal)D − 1.082532 / n0.416710.58
Thread height (basic)0.541266 / n0.04161.06
Tensile stress area As0.7854 (D − 0.9743 / n)²0.1419 in²91.5 mm²
1/2 threads: UNC vs UNF
ThreadTPIPitch Ø EStress area AsTap drill
1/2-13 UNC (this page)130.4500 in0.1419 in²27/64"
1/2-20 UNF200.4675 in0.1600 in²29/64"
Neighbouring UNC threads
ThreadTPIPitch (mm)Minor ØStress area As
3/8-16 UNC161.590.3073 in0.0775 in²
7/16-14 UNC141.810.3602 in0.1063 in²
1/2-13 UNC (this page)131.950.4167 in0.1419 in²
5/8-11 UNC112.310.5266 in0.2260 in²
3/4-10 UNC102.540.6417 in0.3345 in²

Practical notes

Unified threads are named diameter–TPI–series: 1/2-13 UNC is a 1/2 nominal diameter with 13 threads per inch in the coarse series.

These are basic (zero-tolerance) dimensions. Most screws are made to class 2A and nuts to 2B (ASME B1.1), so measured sizes sit slightly below the basic values on the screw.

13 TPI is a pitch of 1.95 mm, which does not match a metric ISO pitch exactly; metric and Unified fasteners of similar size are not interchangeable.

Tensile stress area As is the area used for bolt strength (proof load = As × proof stress for the SAE J429 or ASTM grade). For 1/2-13 UNC it is 0.1419 in².

FAQ

How many threads per inch is 1/2-13 UNC?

13 TPI, a pitch of 0.0769 in (1.95 mm), in the Unified coarse series (ASME B1.1).

What is the minor diameter of 1/2-13 UNC?

The basic minor diameter of the internal thread is D − 1.082532/n = 0.4167 in (10.58 mm).

What is the tensile stress area of 1/2-13 UNC?

As = 0.7854 × (D − 0.9743/n)² = 0.1419 in² (91.5 mm²).

What tap drill does 1/2-13 UNC need?

The standard chart drill is 27/64", 0.4219 in (10.72 mm), about 78% thread.

What is the difference between 1/2-13 UNC and 1/2-20 UNF?

Same 1/2 diameter, different pitch: 13 TPI versus 20 TPI. They are not interchangeable.

Sources: ASME B1.1 — Unified inch screw threads (UN and UNR thread form): basic dimensions, tensile stress area · ASME B18.2.1 — square, hex, heavy hex and askew head bolts and hex, heavy hex, hex flange screws (width across flats)

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