UN - Unified constant-pitch

7/8-16 UN

Tap drill 13/16" for a 7/8-16 UN thread - major Ø 22.225 mm, pitch 1.588 mm (16 TPI).

Tap drill
13/16"
20.64 mm · ≈77% thread

Profile

Thread form & key diameters

Major Ø 22.225 mmP 1.588 mm60°Minor Ø 20.277 mm · Pitch Ø 21.194 mm7/8-16 UN16 TPI · 60° form

Dimensions

Dimensions, drill sizes and wrench sizes for 7/8-16 UN.
Designation7/8-16 UN
Major (outside) diameter22.225 mm · 0.875"
Pitch1.588 mm · 16 TPI
Pitch diameter21.194 mm · 0.8344"
Minor diameter (external)20.277 mm · 0.7983"
Minor diameter (internal)20.507 mm · 0.8073"
Recommended tap drill13/16" · 20.64 mm · ≈77% thread
Clearance holeClose 57/64" · Normal 29/32" · Loose 15/16" - nominal + 1/64" / 1/32" / 1/16" to the nearest standard drill (common shop practice).
Hex head (across flats)1-5/16"
Socket key (across flats)3/4"

Close 57/64" · Normal 29/32" · Loose 15/16" - nominal + 1/64" / 1/32" / 1/16" to the nearest standard drill (common shop practice).

7/8-16 UN in numbers

7/8-16 UN is 0.8750 in across the crests with 16 threads per inch, a 1.588 mm pitch. The basic pitch diameter is 21.194 mm and the bolt's minor diameter 20.277 mm, so the thread is 0.974 mm deep on the bolt. Its tensile stress area is 0.5205 in², 13% more than the coarser 7/8-9 UNC at the same diameter. The nearest metric size, M22 × 2.5, is 0.23 mm smaller across the crests and its pitch is 0.912 mm coarser, so the two do not interchange.

Tap drill by thread percentage

Hole = D − % × 0.0129904 × P, with D = 22.225 mm and P = 1.588 mm. A smaller hole leaves more thread; the recommended 13/16" drill above gives about 77%.

Tap-drill hole diameters for 7/8-16 UN at several thread percentages.
ThreadHole (mm)Hole (in)Nearest drill
60%20.990.826353/64" (0.8281 in) gives 58%
65%20.880.822253/64" (0.8281 in) gives 58%
70%20.780.818113/16" (0.8125 in) gives 77%
75%20.680.814113/16" (0.8125 in) gives 77%

Tightening torque estimate

Target preload is 75% of proof load; torque is estimated from T = K · F · d.

Proof-load preload and estimated tightening torque for 7/8-16 UN by fastener grade or property class.
Grade / classStress areaPreloadTorque
SAE Grade 20.5205 in²12883 lbf188 lb·ft · 2255 lb·in
SAE Grade 50.5205 in²33184 lbf484 lb·ft · 5807 lb·in
SAE Grade 80.5205 in²46848 lbf683 lb·ft · 8198 lb·in

Strengths are SAE J429 for this diameter band. J429 steps down with size: Grade 2 falls to 33 ksi proof above 3/4 in and Grade 5 to 74 ksi above 1 in, so these figures are not the small-size values.

These figures assume a nut factor of K = 0.20 (dry / as-received steel). K captures thread and head friction and can swing torque by 30% or more - a lubricated joint needs noticeably less. Change the lubrication assumption in the bolt-torque calculator.

Put 7/8-16 UN on a job sheet

The bolt schedule collects the fasteners for one job onto a single sheet - tap drill, wrench size, grade and tightening torque on every line, taken straight from pages like this one. Free schedules hold 3 lines and are saved in this browser only.

Open bolt schedule

What tap drill do I need for 7/8-16 UN?

For a 7/8-16 UN thread, drill the hole with a 13/16" tap drill (20.64 mm) before tapping. That produces roughly 77% thread engagement, the usual target for a strong, tappable hole. The mating bolt has a major diameter of 22.225 mm and a pitch of 1.588 mm (16 TPI).

To pass a 7/8-16 UN bolt through a part rather than thread it, use a clearance hole: Close 57/64" · Normal 29/32" · Loose 15/16" - nominal + 1/64" / 1/32" / 1/16" to the nearest standard drill (common shop practice)..

All values come from the standard thread formulas (ISO 68-1 / ASME B1.1) and published standard tables. See the full reference.

Frequently asked questions

What drill size do I need to tap a 7/8-16 UN thread?

Drill 13/16" (20.64 mm) before tapping 7/8-16 UN. That leaves roughly 77% thread engagement, the usual target for a strong hole that still taps cleanly.

Is 7/8-16 UN a coarse or fine thread?

7/8-16 UN is in the UN constant-pitch series: it runs 16 threads per inch, a pitch shared across a range of diameters rather than scaled with the size.

What size clearance hole does a 7/8-16 UN bolt need?

Close 57/64" · Normal 29/32" · Loose 15/16" - nominal + 1/64" / 1/32" / 1/16" to the nearest standard drill (common shop practice). A clearance hole lets the 7/8-16 UN bolt pass through the part instead of threading into it.

How much torque should I use on a 7/8-16 UN bolt?

Estimated tightening torque for 7/8-16 UN runs from 188 lb·ft (SAE Grade 2) to 683 lb·ft (SAE Grade 8), targeting 75% of proof load with a dry nut factor of K = 0.20. Lubricated threads need noticeably less torque.

Same diameter

Other 7/8" threads

Closest metric sizes

Metric equivalents for 7/8-16 UN

Nearest standard metric sizes by major diameter. These are substitutes by size only - the thread forms are not interchangeable, so never run one into the other.

Nearby sizes

More un - unified constant-pitch threads