#4-40 UNC thread pitch and dimensions
The #4-40 UNC thread has 40 threads per inch, a pitch of 0.0250 in (0.64 mm), on a 0.112 in major diameter (ASME B1.1). Its basic pitch diameter is 0.0958 in and its basic minor diameter is 0.0849 in.
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| Dimension | Formula | inch | mm |
|---|---|---|---|
| Major diameter D | nominal | 0.1120 | 2.84 |
| Pitch P | 1 / TPI | 0.0250 | 0.64 |
| Pitch diameter E | D − 0.649519 / n | 0.0958 | 2.43 |
| Minor diameter (internal) | D − 1.082532 / n | 0.0849 | 2.16 |
| Thread height (basic) | 0.541266 / n | 0.0135 | 0.34 |
| Tensile stress area As | 0.7854 (D − 0.9743 / n)² | 0.0060 in² | 3.9 mm² |
| Thread | TPI | Pitch Ø E | Stress area As | Tap drill |
|---|---|---|---|---|
| #4-40 UNC (this page) | 40 | 0.0958 in | 0.0060 in² | #43 |
| #4-48 UNF | 48 | 0.0985 in | 0.0066 in² | #42 |
| Thread | TPI | Pitch (mm) | Minor Ø | Stress area As |
|---|---|---|---|---|
| #2-56 UNC | 56 | 0.45 | 0.0667 in | 0.0037 in² |
| #4-40 UNC (this page) | 40 | 0.64 | 0.0849 in | 0.0060 in² |
| #6-32 UNC | 32 | 0.79 | 0.1042 in | 0.0091 in² |
| #8-32 UNC | 32 | 0.79 | 0.1302 in | 0.0140 in² |
| #10-24 UNC | 24 | 1.06 | 0.1449 in | 0.0175 in² |
Practical notes
Unified threads are named diameter–TPI–series: #4-40 UNC is a #4 nominal diameter (number 4 screw, 0.112 in) with 40 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.
40 TPI is a pitch of 0.64 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 #4-40 UNC it is 0.0060 in².
FAQ
How many threads per inch is #4-40 UNC?
40 TPI, a pitch of 0.0250 in (0.64 mm), in the Unified coarse series (ASME B1.1).
What is the minor diameter of #4-40 UNC?
The basic minor diameter of the internal thread is D − 1.082532/n = 0.0849 in (2.16 mm).
What is the tensile stress area of #4-40 UNC?
As = 0.7854 × (D − 0.9743/n)² = 0.0060 in² (3.9 mm²).
What tap drill does #4-40 UNC need?
The standard chart drill is #43, 0.0890 in (2.26 mm), about 71% thread.
What is the difference between #4-40 UNC and #4-48 UNF?
Same #4 diameter, different pitch: 40 TPI versus 48 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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