Unified Fine (UNF) · 7/8-14 UNF
7/8"-14 UNF Thread — Dimensions, Tap Drill & Clearance
https://shopmath.org/threads/unf/7-8-14 · data verified August 1, 2026
The tap drill for 7/8"-14 UNF is 13/16 — 0.8125 in (20.637 mm) — which leaves 67.4% thread engagement with a cut tap. Basic pitch diameter is 0.8286 in (21.046 mm) and basic minor diameter is 0.7977 in (20.262 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
- 7/8-14 UNF
- TPI
- 14
- Standard
- ASME B1.1
Tap drill · 67.4% thread · cut tap
13/16
- Drill Ø
- 0.8125in
- Drill Ø
- 20.637mm
- Clearance (normal)
- 59/64
Assumes 75% thread engagement with a cut tap and a class 2B hole. That drill actually leaves 67.4% thread.
Basic Thread Dimensions for 7/8"-14 UNF
| Property | Inch | Millimetre |
|---|---|---|
| Basic major diameter | 0.8750 | 22.225 |
| Threads per inch | 14 | — |
| Pitch | 0.0714 | 1.814 |
| Basic pitch diameter | 0.8286 | 21.046 |
| Basic minor diameter | 0.7977 | 20.262 |
| External thread root diameter | 0.7899 | 20.064 |
| Sharp V thread height (H) | 0.0619 | 1.572 |
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 7/8"-14 UNF
Cut taps, from 50% to 85% thread engagement. The shop default is 75% — a 13/16 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% | 0.8286 | 21.046 | 53/64 | 0.8281 | 21.034 | 50.5 |
| 60% | 0.8193 | 20.810 | 13/16 | 0.8125 | 20.637 | 67.4 |
| 65% | 0.8147 | 20.693 | 13/16 | 0.8125 | 20.637 | 67.4 |
| 70% | 0.8100 | 20.574 | 13/16 | 0.8125 | 20.637 | 67.4 |
| 75%default | 0.8054 | 20.457 | 13/16 | 0.8125 | 20.637 | 67.4 |
| 80% | 0.8008 | 20.340 | 51/64 | 0.7969 | 20.241 | 84.2 |
| 85% | 0.7961 | 20.221 | 51/64 | 0.7969 | 20.241 | 84.2 |
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 7/8"-14 UNF
The through-hole a 7/8"-14 UNF fastener passes freely, not the tapped hole.
| Property | Property | Hole Ø | Property | |
|---|---|---|---|---|
| Fit | Drill | in | mm | Use |
| Close | 57/64 | 0.9055 | 23.000 | Located joints, dowelled assemblies |
| Normal | 59/64 | 0.9370 | 23.800 | General assembly — the default |
| Loose | 1 | 1.0315 | 26.200 | 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 7/8"-14 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 | 0.8734 | 22.184 | 0.8750 | 22.225 |
| Major Ø min | 0.8630 | 21.920 | 0.8647 | 21.963 |
| Pitch Ø max | 0.8270 | 21.006 | 0.8286 | 21.046 |
| Pitch Ø min | 0.8216 | 20.869 | 0.8245 | 20.942 |
| Pitch Ø tolerance | 0.0054 | 0.137 | 0.0041 | 0.104 |
| Minor Ø max | 0.7806 | 19.827 | 0.7822 | 19.868 |
| Minor Ø min | 0.7752 | 19.690 | 0.7781 | 19.764 |
| Allowance | 0.0016 | 0.041 | 0.0000 | 0.000 |
| Property | Class 2B | Class 3B | ||
|---|---|---|---|---|
| Limit | in | mm | in | mm |
| Major Ø max | 0.8924 | 22.667 | 0.8906 | 22.621 |
| Major Ø min | 0.8750 | 22.225 | 0.8750 | 22.225 |
| Pitch Ø max | 0.8357 | 21.227 | 0.8339 | 21.181 |
| Pitch Ø min | 0.8286 | 21.046 | 0.8286 | 21.046 |
| Pitch Ø tolerance | 0.0070 | 0.178 | 0.0053 | 0.135 |
| Minor Ø max | 0.8135 | 20.663 | 0.8067 | 20.490 |
| Minor Ø min | 0.7977 | 20.262 | 0.7977 | 20.262 |
| Allowance | 0.0000 | 0.000 | 0.0000 | 0.000 |
Tensile Stress Area of 7/8"-14 UNF
The effective cross-section used to size a 7/8"-14 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 | 0.50947 | 328.69 |
The formula this value comes from is in the sources section below.
Sources and Method for 7/8"-14 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 7/8"-14 UNF Reference
Citation
ShopMath. "7/8"-14 UNF Thread — Dimensions, Tap Drill & Clearance." ShopMath, verified August 1, 2026, https://shopmath.org/threads/unf/7-8-14
BibTeX
@misc{shopmath-threads-unf-7-8-14,
title = {7/8"-14 UNF Thread — Dimensions, Tap Drill & Clearance},
author = {{ShopMath}},
year = {2026},
howpublished = {\url{https://shopmath.org/threads/unf/7-8-14}},
note = {Data verified 2026-08-01}
}Permanent URL
https://shopmath.org/threads/unf/7-8-14
Common Questions About 7/8"-14 UNF
What is the tap drill size for 7/8"-14 UNF?
- The tap drill for 7/8"-14 UNF is 13/16 — 0.8125 in (20.637 mm). That leaves 67.4% thread engagement with a cut tap.
What is the pitch diameter of 7/8"-14 UNF?
- The basic pitch diameter of 7/8"-14 UNF is 0.8286 in (21.046 mm). For a class 2B thread it runs 0.8286 in (21.046 mm) to 0.8357 in (21.227 mm).
What is the minor diameter of 7/8"-14 UNF?
- The basic minor diameter of 7/8"-14 UNF is 0.7977 in (20.262 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 7/8"-14 UNF?
- 7/8"-14 UNF has 14 threads per inch, a pitch of 0.0714 in (1.814 mm).
What size clearance hole does a 7/8"-14 UNF fastener need?
- close fit 57/64 (0.9055 in (23.000 mm)), normal fit 59/64 (0.9370 in (23.800 mm)), loose fit 1 (1.0315 in (26.200 mm)). The normal fit is the general-assembly default.
What is the tensile stress area of 7/8"-14 UNF?
- The tensile stress area of 7/8"-14 UNF is 0.50947 in² (328.69 mm²). Multiply it by the fastener material's allowable stress to get a load.
Why does the 7/8"-14 UNF tap drill here differ from the chart on the wall?
- Computed 75% target 0.8054 in. Nearest standard drill is 13/16 (0.8125 in, off by 0.0071 in); the traditional published chart lists 51/64 (0.797 in, off by 0.0084 in, 84.1% thread). Both are shown; neither overrides the other.