Unified Fine (UNF) · #6-40 UNF
#6-40 UNF Thread — Dimensions, Tap Drill & Clearance
https://shopmath.org/threads/unf/6-40 · data verified August 1, 2026
The tap drill for #6-40 UNF is #33 — 0.1130 in (2.870 mm) — which leaves 77.0% thread engagement with a cut tap. Basic pitch diameter is 0.1218 in (3.094 mm) and basic minor diameter is 0.1109 in (2.817 mm). Tapped-hole figures on this page assume a class 2B thread; drill sizes for 50–85% engagement are in the tap drill table below.
- Series
- Unified Fine (UNF)
- Designation
- #6-40 UNF
- TPI
- 40
- Standard
- ASME B1.1
Tap drill · 77.0% thread · cut tap
#33
- Drill Ø
- 0.1130in
- Drill Ø
- 2.870mm
- Clearance (normal)
- #19
Assumes 75% thread engagement with a cut tap and a class 2B hole. That drill actually leaves 77.0% thread.
Basic Thread Dimensions for #6-40 UNF
| Property | Inch | Millimetre |
|---|---|---|
| Basic major diameter | 0.1380 | 3.505 |
| Threads per inch | 40 | — |
| Pitch | 0.0250 | 0.635 |
| Basic pitch diameter | 0.1218 | 3.094 |
| Basic minor diameter | 0.1109 | 2.817 |
| External thread root diameter | 0.1082 | 2.748 |
| Sharp V thread height (H) | 0.0217 | 0.551 |
Threads per inch has no millimetre counterpart — metric threads are specified by pitch instead. Basic dimensions are the theoretical values before any tolerance class is applied.
Tap Drill Sizes for #6-40 UNF
Cut taps, from 50% to 85% thread engagement. The shop default is 75% — a #33 drill. Deeper engagement means more holding strength and more torque on the tap.
| Property | Target hole Ø | Nearest standard drill | Property | |||
|---|---|---|---|---|---|---|
| Thread % | in | mm | Drill | in | mm | Actual thread % |
| 50% | 0.1218 | 3.094 | #31 | 0.1200 | 3.048 | 55.4 |
| 60% | 0.1185 | 3.010 | #31 | 0.1200 | 3.048 | 55.4 |
| 65% | 0.1169 | 2.969 | #32 | 0.1160 | 2.946 | 67.7 |
| 70% | 0.1153 | 2.929 | #32 | 0.1160 | 2.946 | 67.7 |
| 75%default | 0.1136 | 2.885 | #33 | 0.1130 | 2.870 | 77.0 |
| 80% | 0.1120 | 2.845 | #33 | 0.1130 | 2.870 | 77.0 |
| 85% | 0.1104 | 2.804 | #35 | 0.1100 | 2.794 | 86.2 |
Target hole Ø is the theoretical hole for the stated engagement. The drill column is the nearest size in the standard number/letter/fractional/metric index, and actual thread % is what that real drill produces — the number that matters at the machine. Values are for cut taps. Tapped-hole figures assume a class 2B hole.
Clearance Hole Sizes for #6-40 UNF
The through-hole a #6-40 UNF fastener passes freely, not the tapped hole.
| Property | Property | Hole Ø | Property | |
|---|---|---|---|---|
| Fit | Drill | in | mm | Use |
| Close | #24 | 0.1535 | 3.899 | Located joints, dowelled assemblies |
| Normal | #19 | 0.1693 | 4.300 | General assembly — the default |
| Loose | #13 | 0.1850 | 4.699 | Slotted or adjustable joints, weldments |
Clearance holes per ISO 273 (metric) and ASME B18.2.8 (inch). The drill column is the nearest standard drill at or above the specified hole diameter.
Thread Class Limits for #6-40 UNF
Manufacturing limits for classes 2B, 3B, 2A, 3A. A gauge reading outside these bands is a reject, not a judgement call.
| Property | Class 2A | Class 3A | ||
|---|---|---|---|---|
| Limit | in | mm | in | mm |
| Major Ø max | 0.1372 | 3.485 | 0.1380 | 3.505 |
| Major Ø min | 0.1321 | 3.355 | 0.1329 | 3.376 |
| Pitch Ø max | 0.1210 | 3.073 | 0.1218 | 3.094 |
| Pitch Ø min | 0.1184 | 3.007 | 0.1198 | 3.043 |
| Pitch Ø tolerance | 0.0026 | 0.066 | 0.0020 | 0.051 |
| Minor Ø max | 0.1047 | 2.659 | 0.1055 | 2.680 |
| Minor Ø min | 0.1021 | 2.593 | 0.1036 | 2.631 |
| Allowance | 0.0008 | 0.020 | 0.0000 | 0.000 |
| Property | Class 2B | Class 3B | ||
|---|---|---|---|---|
| Limit | in | mm | in | mm |
| Major Ø max | 0.1450 | 3.683 | 0.1442 | 3.663 |
| Major Ø min | 0.1380 | 3.505 | 0.1380 | 3.505 |
| Pitch Ø max | 0.1252 | 3.180 | 0.1243 | 3.157 |
| Pitch Ø min | 0.1218 | 3.094 | 0.1218 | 3.094 |
| Pitch Ø tolerance | 0.0034 | 0.086 | 0.0025 | 0.064 |
| Minor Ø max | 0.1186 | 3.012 | 0.1186 | 3.012 |
| Minor Ø min | 0.1109 | 2.817 | 0.1109 | 2.817 |
| Allowance | 0.0000 | 0.000 | 0.0000 | 0.000 |
Tensile Stress Area of #6-40 UNF
The effective cross-section used to size a #6-40 UNF fastener against a load. Multiply it by the material's allowable stress — the area itself carries no strength assumption.
| Property | in² | mm² |
|---|---|---|
| Tensile stress area | 0.01014 | 6.54 |
The formula this value comes from is in the sources section below.
Sources and Method for #6-40 UNF
- Basic dimensionscomputed
NBS Handbook H28 (1969) Part I §§6-7 (public domain, 17 U.S.C. 105); normative modern reference ASME B1.1; series membership: Series membership: threadlib UIS_thread.csv (BSD-3-Clause); cross-checked against NBS H28 (1969) Part I Table 2.21; clearance holes: ISO 273 (metric) and ASME B18.2.8 (inch) via FreeCAD FeatureHole.cpp (LGPL-2.1+), cross-checked against bd_warehouse clearance_hole_sizes.csv (Apache-2.0)
Verified against NBS H28 (1969) Part I, Table 2.21 (public domain); cross-checked against FreeCAD CAM thread tables (LGPL-2.1+) — 1064 checks passed at 0.0001 in
Computed from the standard's formulas, then checked against published tables.
- Tap drill sizescomputed
Machinery's Handbook %-thread formula (geometry-derived); nearest-standard-drill-to-75% rule verified at 36/39 published chart rows in docs/research/data-sourcing.md §3.4
Verified against Wikipedia Unified Thread Standard, preferred cutting tap drill size columns (CC BY-SA 4.0) — 36/39 published UNC+UNF rows reproduced
Computed from the standard's formulas, then checked against published tables.
- Class limitscomputed
NBS Handbook H28 (1969) Part I §§6-7 (public domain, 17 U.S.C. 105); normative modern reference ASME B1.1
Verified against NBS H28 (1969) Part I, Table 2.21 (public domain); cross-checked against FreeCAD CAM thread tables (LGPL-2.1+) — 1064 checks passed at 0.0001 in
Computed from the standard's formulas, then checked against published tables.
- Formula
Tap drill hole diameter, inch threads
hole Ø = D − (%thread ÷ 100) × (1.29904 ÷ n) D = basic major diameter (in) n = threads per inch
1.29904 = 2 × 0.64952, twice the engaged thread height per side on the 60° Unified profile.
Actual thread engagement of the chosen drill
%thread = (D − drill Ø) × n ÷ 1.29904 × 100
The drill column rounds to a real drill; this is the engagement that drill actually leaves.
Tensile stress area, Unified inch threads
At = 0.7854 × (D − 0.9743 ÷ n)²
ASME B1.1 / NBS H28 form. Reproduces the stored value exactly for this thread.
- Assumptions
- The headline tap drill assumes 75% thread engagement, the general shop default. Every other engagement from 50% to 85% is in the tap drill table — change the assumption and the number moves.
- Tap drill figures are for cut taps. Drill diameters are nominal; a worn or run-out drill cuts oversize and reduces engagement further.
- Tapped-hole figures assume a class 2B internal thread, the general-purpose fit.
- Dataset scope: Le = 1D for UNC/UNF, 9P for UNEF — determined empirically against H28 Table 2.21, resolving data-sourcing.md open item 5. EXCLUDED: form (roll) tap drills, class 1A/1B limits, class 1AR allowances, constant-pitch UN series.
- Data last verified
- August 1, 2026
How to Cite This #6-40 UNF Reference
Citation
ShopMath. "#6-40 UNF Thread — Dimensions, Tap Drill & Clearance." ShopMath, verified August 1, 2026, https://shopmath.org/threads/unf/6-40
BibTeX
@misc{shopmath-threads-unf-6-40,
title = {#6-40 UNF Thread — Dimensions, Tap Drill & Clearance},
author = {{ShopMath}},
year = {2026},
howpublished = {\url{https://shopmath.org/threads/unf/6-40}},
note = {Data verified 2026-08-01}
}Permanent URL
https://shopmath.org/threads/unf/6-40
Common Questions About #6-40 UNF
What is the tap drill size for #6-40 UNF?
- The tap drill for #6-40 UNF is #33 — 0.1130 in (2.870 mm). That leaves 77.0% thread engagement with a cut tap.
What is the pitch diameter of #6-40 UNF?
- The basic pitch diameter of #6-40 UNF is 0.1218 in (3.094 mm). For a class 2B thread it runs 0.1218 in (3.094 mm) to 0.1252 in (3.180 mm).
What is the minor diameter of #6-40 UNF?
- The basic minor diameter of #6-40 UNF is 0.1109 in (2.817 mm). That is the theoretical root of the internal thread, not the drilled hole size — see the tap drill table for the hole to drill.
What is the thread pitch of #6-40 UNF?
- #6-40 UNF has 40 threads per inch, a pitch of 0.0250 in (0.635 mm).
What size clearance hole does a #6-40 UNF fastener need?
- close fit #24 (0.1535 in (3.899 mm)), normal fit #19 (0.1693 in (4.300 mm)), loose fit #13 (0.1850 in (4.699 mm)). The normal fit is the general-assembly default.
What is the tensile stress area of #6-40 UNF?
- The tensile stress area of #6-40 UNF is 0.01014 in² (6.54 mm²). Multiply it by the fastener material's allowable stress to get a load.