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GuidePublished 14 Aug 202623 min readBy Kevin JoginMachine DesignThreading and GagingUnified Inch Screw Threads: DesignationClasses and Tolerances

Engineering · Machine Design · Threading and Gaging

Unified Inch Screw Threads: Designation, Classes and Tolerances: Every Thread Series, Every Dimension, Every...

Engineering handbook for unified inch screw threads: designation, classes and tolerances, covering every thread series, every dimension, every decision that...

Executive summary

This handbook section converts the supplied engineering material into a practical, source-controlled reference. It concentrates on the following learning outcomes.

Every Thread Series, Every Dimension, Every Decision That Matters
The Unified Thread System: How Three Nations Agreed on a Screw
The Thread Form: Anatomy of a 60-Degree Profile
The Basic Profile
UN vs. UNR: The Root Makes the Difference
Thread Series: The Complete Lineup

Every Thread Series, Every Dimension, Every Decision That Matters


A 3/8-16 bolt snapped on a pressure vessel at 2 a.m.

The night shift supervisor at a chemical plant—let's call him the practitioner—stood staring at a hairline crack propagating across a flanged joint. The bolt hadn't failed because of corrosion, fatigue, or overloading. It failed because someone ordered 3/8-24 UNF bolts for a joint that was tapped 3/8-16 UNC.

The bolts threaded in. They felt tight. And for six weeks, they held—until thermal cycling and vibration exposed the mismatch. Three threads of engagement instead of the designed eight. A tensile stress area of 0.0878 sq. in. instead of 0.0775 sq. in. might sound like a bonus, but when the pitch diameters don't match the tapped hole, clamping force drops to nearly zero.

the practitioner learned a lesson that cost his company a week of unplanned downtime: thread selection is not a detail. It is the design.

This guide exists so you never make that mistake. What follows is the most comprehensive reference on the Unified Screw Thread system (Inch Series) you'll find anywhere—covering every thread series from Coarse to 28-thread, every basic dimension, every thread class, and the decision logic that separates competent engineers from the ones who get midnight phone calls.



What You'll Master in This Guide

  • The Unified Thread System — its origin, its thread form, and why it replaced the American National standard
  • Thread Series Selection — Coarse, Fine, Extra-Fine, and eight constant-pitch series (4, 6, 8, 12, 16, 20, 28, and 32 TPI)
  • Complete Basic Dimensions — every standard size with major diameter, pitch diameter, minor diameters, lead angles, minor diameter areas, and tensile stress areas
  • Thread Classes — 1A/1B, 2A/2B, 3A/3B, and how tolerances and allowances actually work
  • Thread Designation — how to read, write, and specify Unified threads on drawings
  • Coated Thread Provisions — what happens when plating meets thread tolerances
  • Thread Selection Logic — a decision framework so you pick the right series every time


The Unified Thread System: How Three Nations Agreed on a Screw


Failure trigger and engineering context

The first American standard to cover Unified Thread Series—ANSI B1.1-1949—was the product of a tri-national agreement between the United Kingdom, Canada, and the United States. The goal was elegant in its simplicity: one thread form, interchangeable across three nations.

The Unified system didn't discard what came before. It refined it. Unified threads have substantially the same thread form as the former American National threads and are mechanically interchangeable at the same diameter and pitch. But four critical improvements separated the new system from the old:

  1. Application of allowances — the Unified system provides an allowance on both Class 1A and 2A external threads
  2. Variation of tolerances with size — tolerances scale intelligently with diameter and pitch
  3. Asymmetric pitch diameter tolerances — internal thread PD tolerance is 30% greater than external, giving nut threads more manufacturing room
  4. Standardized thread designation — a universal callout system that eliminates ambiguity

The governing standard today is ASME/ANSI B1.1-1989, which remains the definitive reference for Unified inch screw threads.



The Thread Form: Anatomy of a 60-Degree Profile

Every Unified thread—whether Coarse, Fine, or any constant-pitch series—shares the same basic profile. Understanding this profile is the foundation for everything that follows.


The Basic Profile

                    P (Pitch = 1/n)
            |<------------------------->|
            |                           |
            |     0.125P    0.125P      |
            |    |<--->|   |<--->|      |
           _|__|__|___|__|__|_
          /      |  Crest  |      \
         / 0.25H |  Flat   | 0.25H \
        /        |<------->|        \
       /         | 0.250P  |         \
      /          |         |          \
     /   60°     |         |     60°   \
    /  Thread    |         |  Thread    \
   /   Angle     |         |   Angle     \
  /              |  0.625H |              \
 /               |         |               \
/__|__|__\
        0.125P       Root        0.125P
         Flat                     Flat

Key Thread Form Dimensions:

Thread Element Symbol Formula
Thread angle 60°
Height of sharp V-thread H 0.86603 × P
Depth of internal thread (and UN external thread) 0.54127 × P
Depth of UNR external thread 0.59539 × P
Truncation of external thread crest 0.10825 × P
Truncation of internal thread crest 0.10825 × P
Truncation of external thread root 0.21651 × P
Truncation of UNR external thread root 0.16238 × P
Flat at external thread crest and internal thread root 0.125 × P
Basic flat at internal thread crest (and UN external root) 0.250 × P
Maximum external thread root radius 0.14434 × P
Addendum of external thread 0.32476 × P

UN vs. UNR: The Root Makes the Difference

There are two variants of the external thread profile, and the distinction matters for fatigue life:

UN External Threads: A flat root contour is specified. A rounded root contour cleared beyond the 0.25P flat width is optional. This is the standard form.

UNR External Threads: The root has a smooth, continuous, non-reversing contour with a radius of curvature not less than 0.108P at any point, blending tangentially into the flanks. At maximum material condition, the tangency point is at least 0.625H below the basic major diameter.

Why it matters: The UNR rounded root eliminates the stress concentration at the thread root, significantly improving fatigue strength. For any application involving cyclic loading, specify UNR.

Practical rule: To specify UNR, simply substitute "UNR" for "UN" in any designation for external threads. There is no internal UNR thread—only external.



Thread Series: The Complete Lineup

Thread series are groups of diameter-pitch combinations distinguished by the number of threads per inch applied to a specific diameter. The Unified system defines eleven standard series, divided into two categories:


Series with Graded Pitches

These series have pitches that change with diameter—coarser threads for larger sizes:

  • UNC (Coarse) — the workhorse
  • UNF (Fine) — the precision option
  • UNEF (Extra-Fine) — the specialist

Series with Constant (Uniform) Pitches

These series maintain the same pitch across all sizes in the series:

  • 4-UN — 4 threads per inch
  • 6-UN — 6 threads per inch
  • 8-UN — 8 threads per inch
  • 12-UN — 12 threads per inch
  • 16-UN — 16 threads per inch
  • 20-UN — 20 threads per inch
  • 28-UN — 28 threads per inch
  • 32-UN — 32 threads per inch

When selecting from constant-pitch series, preference should be given to the 8-, 12-, or 16-thread series wherever possible.



The Diameter-Pitch Master Table

The following table shows every standard diameter-pitch combination in the Unified system. This is Table 2 of ASME/ANSI B1.1-1989—the single most important reference table for thread selection.

Sizes shown in parentheses are secondary sizes. For UNR thread form, substitute UNR for UN in all external thread designations.

Size (No. or Inches) Basic Major Dia. (in.) UNC UNF UNEF 4-UN 6-UN 8-UN 12-UN 16-UN 20-UN 28-UN 32-UN
0 0.0600 80
1 0.0730 64 72
2 0.0860 56 64
3 0.0990 48 56
4 0.1120 40 48
5 0.1250 40 44
6 0.1380 32 40
8 0.1640 32 36
10 0.1900 24 32
12 0.2160 24 28 32
1/4 0.2500 20 28 32 UNF UNF UNEF
5/16 0.3125 18 24 32 20 28
3/8 0.3750 16 24 32 20 28
7/16 0.4375 14 20 28 UNF UNEF
1/2 0.5000 13 20 28 UNF UNEF
9/16 0.5625 12 18 24 UNC 20 28
5/8 0.6250 11 18 24 20 28
3/4 0.7500 10 16 20 UNF UNEF 28
7/8 0.8750 9 14 20 UNEF 28
1 1.0000 8 12 20 UNC UNF UNEF 28
1-1/8 1.1250 7 12 18 UNF 20 28
1-1/4 1.2500 7 12 18 UNF 20 28
1-3/8 1.3750 6 12 18 UNC UNF 20 28
1-1/2 1.5000 6 12 18 UNC UNF 20 28
1-3/4 1.7500 5 16 20
2 2.0000 4-1/2 16 20
2-1/4 2.2500 4-1/2 16 20
2-1/2 2.5000 4 UNC 16 20
2-3/4 2.7500 4 UNC 16 20
3 3.0000 4 UNC 16 20
3-1/4 3.2500 4 UNC 16 20
3-1/2 3.5000 4 UNC 16 20
3-3/4 3.7500 4 UNC 16 20
4 4.0000 4 UNC 6 8 12 16 20

Note: For diameters over 1-1/2 inches, use the 12-thread series as the continuation of UNF. For diameters over 1-11/16 inches, use the 16-thread series as the continuation of UNEF.



Coarse-Thread Series (UNC/UNRC) — Basic Dimensions


When to Use Coarse Threads

The UNC/UNRC series is the most commonly used thread series for bolts, screws, nuts, and general engineering applications. Reach for Coarse threads when:

  • Bulk production of standard fasteners is required
  • Threading into lower tensile strength materials — cast iron, mild steel, bronze, brass, aluminum, magnesium, and plastics
  • Optimum resistance to stripping of the internal thread is needed
  • Rapid assembly or disassembly is a priority
  • Corrosion or slight damage to threads is possible

Complete UNC Basic Dimensions Table

Size (No. or In.) Basic Major Dia., D (in.) TPI, n Basic Pitch Dia., D₂ (in.) Minor Dia. Ext., d₃ (in.) Minor Dia. Int., D₁ (in.) Lead Angle λ Area Minor Dia. (sq. in.) Tensile Stress Area (sq. in.)
1 (0.073) 0.0730 64 0.0629 0.0544 0.0561 4° 31′ 0.00218 0.00263
2 (0.086) 0.0860 56 0.0744 0.0648 0.0667 4° 22′ 0.00310 0.00370
3 (0.099) 0.0990 48 0.0855 0.0741 0.0764 4° 26′ 0.00406 0.00487
4 (0.112) 0.1120 40 0.0958 0.0822 0.0849 4° 45′ 0.00496 0.00604
5 (0.125) 0.1250 40 0.1088 0.0952 0.0979 4° 11′ 0.00672 0.00796
6 (0.138) 0.1380 32 0.1177 0.1008 0.1042 4° 50′ 0.00745 0.00909
8 (0.164) 0.1640 32 0.1437 0.1268 0.1302 3° 58′ 0.01196 0.01400
10 (0.190) 0.1900 24 0.1629 0.1404 0.1449 4° 39′ 0.01450 0.01750
12 (0.216) 0.2160 24 0.1889 0.1664 0.1709 4° 01′ 0.0206 0.0242
1/4 0.2500 20 0.2175 0.1905 0.1959 4° 11′ 0.0269 0.0318
5/16 0.3125 18 0.2764 0.2464 0.2524 3° 40′ 0.0454 0.0524
3/8 0.3750 16 0.3344 0.3005 0.3073 3° 24′ 0.0678 0.0775
7/16 0.4375 14 0.3911 0.3525 0.3602 3° 20′ 0.0933 0.1063
1/2 0.5000 13 0.4500 0.4084 0.4167 3° 07′ 0.1257 0.1419
9/16 0.5625 12 0.5084 0.4633 0.4723 2° 59′ 0.162 0.182
5/8 0.6250 11 0.5660 0.5168 0.5266 2° 56′ 0.202 0.226
3/4 0.7500 10 0.6850 0.6309 0.6417 2° 40′ 0.302 0.334
7/8 0.8750 9 0.8028 0.7427 0.7547 2° 31′ 0.419 0.462
1 1.0000 8 0.9188 0.8512 0.8647 2° 29′ 0.551 0.606
1-1/8 1.1250 7 1.0322 0.9549 0.9704 2° 31′ 0.693 0.763
1-1/4 1.2500 7 1.1572 1.0799 1.0954 2° 15′ 0.890 0.969
1-3/8 1.3750 6 1.2667 1.1766 1.1946 2° 24′ 1.054 1.155
1-1/2 1.5000 6 1.3917 1.3016 1.3196 2° 11′ 1.294 1.405
1-3/4 1.7500 5 1.6201 1.5119 1.5335 2° 15′ 1.74 1.90
2 2.0000 4-1/2 1.8557 1.7353 1.7594 2° 11′ 2.30 2.50
2-1/4 2.2500 4-1/2 2.1057 1.9853 2.0094 1° 55′ 3.02 3.25
2-1/2 2.5000 4 2.3376 2.2023 2.2294 1° 57′ 3.72 4.00
2-3/4 2.7500 4 2.5876 2.4523 2.4794 1° 46′ 4.62 4.93
3 3.0000 4 2.8376 2.7023 2.7294 1° 36′ 5.62 5.97
3-1/4 3.2500 4 3.0876 2.9523 2.9794 1° 29′ 6.72 7.10
3-1/2 3.5000 4 3.3376 3.2023 3.2294 1° 22′ 7.92 8.33
3-3/4 3.7500 4 3.5876 3.4523 3.4794 1° 16′ 9.21 9.66
4 4.0000 4 3.8376 3.7023 3.7294 1° 11′ 10.61 11.08

Column Notes:

  • D₂ = Basic Pitch Diameter (British: Effective Diameter)
  • d₃ = Design form minor diameter for UNR external threads
  • D₁ = Basic minor diameter for internal threads
  • Tensile Stress Area uses the formula from Machinery's Handbook (pp. 1482, 1490)


Fine-Thread Series (UNF/UNRF) — Basic Dimensions


When to Use Fine Threads

The UNF/UNRF series earns its place when:

  • Greater tensile stress area is needed at the same nominal diameter
  • The resistance to stripping of both external and internal threads equals or exceeds the tensile load capacity of the bolt
  • Length of engagement is short — fine threads develop more clamping force per unit length
  • A smaller lead angle is desired for fine adjustment
  • Wall thickness demands a fine pitch — thin sections that can't support coarse threads
  • Finer adjustment is needed — precision mechanisms, instruments, and adjusting screws

Complete UNF Basic Dimensions Table

Size (No. or In.) Basic Major Dia., D (in.) TPI, n Basic Pitch Dia., D₂ (in.) Minor Dia. Ext., d₃ (in.) Minor Dia. Int., D₁ (in.) Lead Angle λ Area Minor Dia. (sq. in.) Tensile Stress Area (sq. in.)
0 (0.060) 0.0600 80 0.0519 0.0451 0.0465 4° 23′ 0.00151 0.00180
1 (0.073) 0.0730 72 0.0640 0.0565 0.0580 3° 57′ 0.00237 0.00278
2 (0.086) 0.0860 64 0.0759 0.0674 0.0691 3° 45′ 0.00339 0.00394
3 (0.099) 0.0990 56 0.0874 0.0778 0.0797 3° 43′ 0.00451 0.00523
4 (0.112) 0.1120 48 0.0985 0.0871 0.0894 3° 51′ 0.00566 0.00661
5 (0.125) 0.1250 44 0.1102 0.0979 0.1004 3° 45′ 0.00716 0.00830
6 (0.138) 0.1380 40 0.1218 0.1082 0.1109 3° 44′ 0.00874 0.01015
8 (0.164) 0.1640 36 0.1460 0.1309 0.1339 3° 28′ 0.01285 0.01474
10 (0.190) 0.1900 32 0.1697 0.1528 0.1562 3° 21′ 0.0175 0.0200
12 (0.216) 0.2160 28 0.1928 0.1734 0.1773 3° 22′ 0.0226 0.0258
1/4 0.2500 28 0.2268 0.2074 0.2113 2° 52′ 0.0326 0.0364
5/16 0.3125 24 0.2854 0.2629 0.2674 2° 40′ 0.0524 0.0580
3/8 0.3750 24 0.3479 0.3254 0.3299 2° 11′ 0.0809 0.0878
7/16 0.4375 20 0.4050 0.3780 0.3834 2° 15′ 0.1090 0.1187
1/2 0.5000 20 0.4675 0.4405 0.4459 1° 57′ 0.1486 0.1599
9/16 0.5625 18 0.5264 0.4964 0.5024 1° 55′ 0.189 0.203
5/8 0.6250 18 0.5889 0.5589 0.5649 1° 43′ 0.240 0.256
3/4 0.7500 16 0.7094 0.6763 0.6823 1° 36′ 0.351 0.373
7/8 0.8750 14 0.8286 0.7900 0.7977 1° 34′ 0.480 0.509
1 1.0000 12 0.9459 0.9001 0.9098 1° 36′ 0.625 0.663
1-1/8 1.1250 12 1.0709 1.0258 1.0348 1° 25′ 0.812 0.856
1-1/4 1.2500 12 1.1959 1.1508 1.1598 1° 16′ 1.024 1.073
1-3/8 1.3750 12 1.3209 1.2758 1.2848 1° 09′ 1.260 1.315
1-1/2 1.5000 12 1.4459 1.4008 1.4098 1° 03′ 1.521 1.581

UNC vs. UNF: The Head-to-Head Comparison

Here's what the practitioner discovered when she compared her most-used sizes:

Size UNC TPI UNC Tensile Area (sq. in.) UNF TPI UNF Tensile Area (sq. in.) UNF Advantage
1/4 20 0.0318 28 0.0364 +14.5%
3/8 16 0.0775 24 0.0878 +13.3%
1/2 13 0.1419 20 0.1599 +12.7%
3/4 10 0.334 16 0.373 +11.7%
1 8 0.606 12 0.663 +9.4%

The takeaway: UNF gives you roughly 10–15% more tensile stress area at the same nominal size—but only if you can maintain proper engagement and avoid damage during assembly.



Extra-Fine-Thread Series (UNEF/UNREF) — Basic Dimensions


When to Use Extra-Fine Threads

The UNEF/UNREF series is the specialist's choice:

  • Short lengths of engagement — thin flanges, sheet metal, or shallow tapped holes
  • Thin-walled tubes, nuts, ferrules, or couplings — where a coarser pitch would cut through the wall
  • Wherever the conditions favoring fine threads exist to an even greater degree

Complete UNEF Basic Dimensions Table

Size (No. or In.) Basic Major Dia., D (in.) TPI, n Basic Pitch Dia., D₂ (in.) Minor Dia. Ext., d₃ (in.) Minor Dia. Int., D₁ (in.) Lead Angle λ Area Minor Dia. (sq. in.) Tensile Stress Area (sq. in.)
12 (0.216) 0.2160 32 0.1957 0.1788 0.1822 2° 55′ 0.0242 0.0270
1/4 0.2500 32 0.2297 0.2128 0.2162 2° 29′ 0.0344 0.0379
5/16 0.3125 32 0.2922 0.2753 0.2787 1° 57′ 0.0581 0.0625
3/8 0.3750 32 0.3547 0.3378 0.3412 1° 36′ 0.0878 0.0932
7/16 0.4375 28 0.4143 0.3949 0.3988 1° 34′ 0.1201 0.1274
1/2 0.5000 28 0.4768 0.4574 0.4613 1° 22′ 0.162 0.170
9/16 0.5625 24 0.5354 0.5129 0.5174 1° 25′ 0.203 0.214
5/8 0.6250 24 0.5979 0.5754 0.5799 1° 16′ 0.256 0.268
11/16 0.6875 24 0.6604 0.6379 0.6424 1° 09′ 0.315 0.329
3/4 0.7500 20 0.7175 0.6905 0.6959 1° 16′ 0.369 0.386
13/16 0.8125 20 0.7800 0.7530 0.7584 1° 10′ 0.439 0.458
7/8 0.8750 20 0.8425 0.8155 0.8209 1° 05′ 0.515 0.536
15/16 0.9375 20 0.9050 0.8780 0.8834 1° 00′ 0.598 0.620
1 1.0000 20 0.9675 0.9405 0.9459 0° 57′ 0.687 0.711
1-1/16 1.0625 18 1.0264 0.9964 1.0024 0° 59′ 0.770 0.799
1-1/8 1.1250 18 1.0889 1.0589 1.0649 0° 56′ 0.871 0.901
1-3/16 1.1875 18 1.1514 1.1214 1.1274 0° 53′ 0.977 1.009
1-1/4 1.2500 18 1.2139 1.1839 1.1899 0° 50′ 1.090 1.123
1-5/16 1.3125 18 1.2764 1.2464 1.2524 0° 48′ 1.208 1.244
1-3/8 1.3750 18 1.3389 1.3089 1.3149 0° 45′ 1.333 1.370
1-7/16 1.4375 18 1.4014 1.3714 1.3774 0° 43′ 1.464 1.503
1-1/2 1.5000 18 1.4639 1.4339 1.4399 0° 42′ 1.60 1.64
1-9/16 1.5625 18 1.5264 1.4964 1.5024 0° 40′ 1.74 1.79
1-5/8 1.6250 18 1.5889 1.5589 1.5649 0° 38′ 1.89 1.94
1-11/16 1.6875 18 1.6514 1.6214 1.6274 0° 37′ 2.05 2.10


Constant-Pitch Thread Series — Basic Dimensions

The constant-pitch series provide diameter-pitch combinations for specialized applications where the graded-pitch series (UNC, UNF, UNEF) don't meet design requirements.


Thread Series (4-UN / 4-UNR)

Application: Large-diameter fasteners, primarily 2-1/2 inches and above. The 4-thread series is the UNC series for diameters 2-1/2 inches and larger.

Size (Primary) Size (Secondary) Basic Major Dia., D (in.) Basic Pitch Dia., D₂ (in.) Minor Dia. Ext., d₃ (in.) Minor Dia. Int., D₁ (in.) Lead Angle λ Area Minor Dia. (sq. in.) Tensile Stress Area (sq. in.)
2-1/2 2.5000 2.3376 2.2023 2.2294 1° 57′ 3.72 4.00
2-5/8 2.6250 2.4626 2.3273 2.3544 1° 51′ 4.16 4.45
2-3/4 2.7500 2.5876 2.4523 2.4794 1° 46′ 4.62 4.93
2-7/8 2.8750 2.7126 2.5773 2.6044 1° 41′ 5.11 5.44
3 3.0000 2.8376 2.7023 2.7294 1° 36′ 5.62 5.97
3-1/8 3.1250 2.9626 2.8273 2.8544 1° 32′ 6.16 6.52
3-1/4 3.2500 3.0876 2.9523 2.9794 1° 29′ 6.72 7.10
3-3/8 3.3750 3.2126 3.0773 3.1044 1° 25′ 7.31 7.70
3-1/2 3.5000 3.3376 3.2023 3.2294 1° 22′ 7.92 8.33
3-5/8 3.6250 3.4626 3.3273 3.3544 1° 19′ 8.55 9.00
3-3/4 3.7500 3.5876 3.4523 3.4794 1° 16′ 9.21 9.66
3-7/8 3.8750 3.7126 3.5773 3.6044 1° 14′ 9.90 10.36
4 4.0000 3.8376 3.7023 3.7294 1° 11′ 10.61 11.08
4-1/8 4.1250 3.9626 3.8273 3.8544 1° 09′ 11.34 11.83
4-1/4 4.2500 4.0876 3.9523 3.9794 1° 07′ 12.10 12.61
4-1/2 4.5000 4.3376 4.2023 4.2294 1° 03′ 13.69 14.23
4-3/4 4.7500 4.5876 4.4523 4.4794 1° 00′ 15.4 15.9
5 5.0000 4.8376 4.7023 4.7294 0° 57′ 17.2 17.8
5-1/4 5.2500 5.0876 4.9523 4.9794 0° 54′ 19.1 19.7
5-1/2 5.5000 5.3376 5.2023 5.2294 0° 51′ 21.0 21.7
5-3/4 5.7500 5.5876 5.4523 5.4794 0° 49′ 23.1 23.8
6 6.0000 5.8376 5.7023 5.7294 0° 47′ 25.3 26.0

Thread Series (6-UN / 6-UNR)

Application: Continuation of UNC for diameters where 4 TPI is too coarse but standard UNC sizes aren't available. Common on large structural connections.

Size (Primary) Basic Major Dia. (in.) Basic Pitch Dia. (in.) Minor Dia. Ext. (in.) Minor Dia. Int. (in.) Lead Angle λ Minor Dia. Area (sq. in.) Tensile Stress Area (sq. in.)
1-3/8 1.3750 1.2667 1.1766 1.1946 2° 24′ 1.054 1.155
1-1/2 1.5000 1.3917 1.3016 1.3196 2° 11′ 1.294 1.405
1-3/4 1.7500 1.6417 1.5516 1.5696 1° 51′ 1.85 1.98
2 2.0000 1.8917 1.8016 1.8196 1° 36′ 2.50 2.65
2-1/4 2.2500 2.1417 2.0516 2.0696 1° 25′ 3.25 3.42
2-1/2 2.5000 2.3917 2.3016 2.3196 1° 16′ 4.10 4.29
2-3/4 2.7500 2.6417 2.5516 2.5696 1° 09′ 5.04 5.26
3 3.0000 2.8917 2.8016 2.8196 1° 03′ 6.09 6.33
3-1/4 3.2500 3.1417 3.0516 3.0696 0° 58′ 7.23 7.49
3-1/2 3.5000 3.3917 3.3016 3.3196 0° 54′ 8.47 8.75
3-3/4 3.7500 3.6417 3.5516 3.5696 0° 50′ 9.81 10.11
4 4.0000 3.8917 3.8016 3.8196 0° 47′ 11.24 11.57
4-1/2 4.5000 4.3917 4.3016 4.3196 0° 42′ 14.41 14.78
5 5.0000 4.8917 4.8016 4.8196 0° 37′ 18.0 18.4
5-1/2 5.5000 5.3917 5.3016 5.3196 0° 34′ 21.9 22.4
6 6.0000 5.8917 5.8016 5.8196 0° 31′ 26.3 26.8

Thread Series (8-UN / 8-UNR)

Application: Originally intended for high-pressure-joint bolts and nuts. Now widely used as a substitute for UNC for diameters larger than 1 inch. When selecting threads for larger bolts, the 8-thread series should be your first consideration.

Size (Primary) Basic Major Dia. (in.) Basic Pitch Dia. (in.) Minor Dia. Ext. (in.) Minor Dia. Int. (in.) Lead Angle λ Minor Dia. Area (sq. in.) Tensile Stress Area (sq. in.)
1 1.0000 0.9188 0.8512 0.8647 2° 29′ 0.551 0.606
1-1/8 1.1250 1.0438 0.9792 0.9897 2° 11′ 0.728 0.790
1-1/4 1.2500 1.1688 1.1012 1.1147 1° 57′ 0.929 1.000
1-3/8 1.3750 1.2938 1.2262 1.2397 1° 46′ 1.155 1.233
1-1/2 1.5000 1.4188 1.3512 1.3647 1° 36′ 1.405 1.492
1-3/4 1.7500 1.6688 1.6012 1.6147 1° 22′ 1.98 2.08
2 2.0000 1.9188 1.8512 1.8647 1° 11′ 2.65 2.77
2-1/4 2.2500 2.1688 2.1012 2.1147 1° 03′ 3.42 3.56
2-1/2 2.5000 2.4188 2.3512 2.3647 0° 57′ 4.29 4.44
2-3/4 2.7500 2.6688 2.6012 2.6147 0° 51′ 5.26 5.43
3 3.0000 2.9188 2.8512 2.8647 0° 47′ 6.32 6.51
3-1/2 3.5000 3.4188 3.3512 3.3647 0° 40′ 8.75 8.96
4 4.0000 3.9188 3.8512 3.8647 0° 35′ 11.57 11.81
4-1/2 4.5000 4.4188 4.3512 4.3647 0° 31′ 14.78 15.1
5 5.0000 4.9188 4.8512 4.8647 0° 28′ 18.4 18.7
5-1/2 5.5000 5.4188 5.3512 5.3647 0° 25′ 22.4 22.7
6 6.0000 5.9188 5.8512 5.8647 0° 23′ 26.8 27.1

Thread Series (12-UN / 12-UNR)

Application: A uniform-pitch series for large diameters requiring threads of medium-fine pitch. Originally intended for boiler practice, it is now used as a continuation of the Fine-Thread Series for diameters larger than 1-1/2 inches.

Size (Primary) Basic Major Dia. (in.) Basic Pitch Dia. (in.) Minor Dia. Ext. (in.) Minor Dia. Int. (in.) Lead Angle λ Minor Dia. Area (sq. in.) Tensile Stress Area (sq. in.)
9/16 0.5625 0.5084 0.4633 0.4723 2° 59′ 0.162 0.182
5/8 0.6250 0.5709 0.5258 0.5348 2° 40′ 0.210 0.232
3/4 0.7500 0.6959 0.6508 0.6598 2° 11′ 0.323 0.351
7/8 0.8750 0.8209 0.7758 0.7848 1° 51′ 0.462 0.495
1 1.0000 0.9459 0.9008 0.9098 1° 36′ 0.625 0.663
1-1/8 1.1250 1.0709 1.0258 1.0348 1° 25′ 0.812 0.856
1-1/4 1.2500 1.1959 1.1508 1.1598 1° 16′ 1.024 1.073
1-3/8 1.3750 1.3209 1.2758 1.2848 1° 09′ 1.260 1.315
1-1/2 1.5000 1.4459 1.4008 1.4098 1° 03′ 1.52 1.58
1-3/4 1.7500 1.6959 1.6508 1.6598 0° 54′ 2.12 2.19
2 2.0000 1.9459 1.9008 1.9098 0° 47′ 2.81 2.89
2-1/4 2.2500 2.1959 2.1508 2.1598 0° 42′ 3.60 3.69
2-1/2 2.5000 2.4459 2.4008 2.4098 0° 37′ 4.49 4.60
3 3.0000 2.9459 2.9008 2.9098 0° 31′ 6.57 6.69
3-1/2 3.5000 3.4459 3.4008 3.4098 0° 26′ 9.03 9.18
4 4.0000 3.9459 3.9008 3.9098 0° 23′ 11.90 12.06
4-1/2 4.5000 4.4459 4.4008 4.4098 0° 21′ 15.1 15.3
5 5.0000 4.9459 4.9008 4.9098 0° 18′ 18.8 19.0
5-1/2 5.5000 5.4459 5.4008 5.4098 0° 17′ 22.8 23.1
6 6.0000 5.9459 5.9008 5.9098 0° 15′ 27.3 27.5

Engineering use and verification

Begin with load paths, motion, interfaces and credible failure modes. Define duty cycle, environment, alignment, lubrication, manufacturing variation and maintenance access before choosing a component. Check static strength, fatigue, stiffness, heat, wear and fastening together because improving one constraint can worsen another. Record assumptions and verify the assembled system, not just catalogue ratings for isolated parts.

  • Confirm scope, assumptions, interfaces and required outcome.
  • Use one controlled unit system and show every conversion.
  • Identify current project, customer and regulatory requirements.
  • Separate source examples from mandatory acceptance criteria.
  • Check calculations, tables and selections by an independent method.
  • Verify safety, maintainability and credible failure modes.
  • Record evidence, revisions, approvals and unresolved limitations.
  • Validate the result under representative operating conditions.

Continue learning

Screw Thread Fundamentals, Geometry and Terminology: Pitch, Lead, and Their RelationshipGuide · Machine DesignNEXT LESSON →Unified Inch Screw Threads: Designation, Classes and Tolerances: Thread Series (16-UN / 16-UNR)Guide · Machine DesignScrew Thread Fundamentals, Geometry and Terminology: Thread RollingGuide · Machine DesignUnified Inch Screw Threads: Designation, Classes and Tolerances: Internal and External Screw Thread Design...Guide · Machine Design