Unified Screw Threads (UNC/UNF/UNEF): Charts & Formulas

List of Charts

* Easy access to all the data charts that appear on this page

• List of Symbols
• Designation Examples
• Possible Diameter/Pitch combinations.
• UNC Series – Basic Dimensions
• UNF Series – Basic Dimensions
• UNEF Series – Basic Dimensions
• Constant Pitch Series – Basic Dimensions

Overview

The Unified Thread Standard (UTS) defines a 60° thread form in Inch dimensions as described in the ASME B1.1 standard. It is the North American equivalent of the ISO metric thread system. The UTS serves as the leading standard for bolts, nuts, and a wide variety of other threaded fasteners used in the USA and Canada. However, in recent years the metric thread standard is becoming more common.
The standard defines diameter and pitch combinations along with allowances, tolerances, and designations. It has the same 60° profile as the ISO metric screw thread, but the basic dimensions of each UTS thread were chosen as an inch fraction rather than a millimeter value.

Designation

Basic designation syntax:

• Nominal Diameter in Inch Fraction
• Pitch in TPI
• Series: UNC / UNF / UNEF / UN
• Class: 1A, 2A, 3A, 1B, 2B or 3B.

Diameter:

• From 1/4″ and above the diameters are given in inch fractions. For example 1/4″, 3/4″, 1 1/4″.
• Below 1/4″ the diameters are given by a series of numbers from #0 to #12. Each “number” describes an arbitrary diameter as shown in the below table.
• It is also allowed to denote the diameters with a decimal value. For example 0.250 (1/4″), 0.4375 (7/16″), etc.

Standard Diameter numbers below 1/4″

Pitch:

• By default, the pitch is given in TPI. For example, 1/4-20 means a thread with a pitch of 20 TPI (1/20=0.05″).
• It is also allowed to denote the pitch by distance. For example, 1/4-0.05P means a thread with a pitch of 0.05″ (same as 20 TPI).

Series:

• In most cases, the series will be UNC, UNF, or UNEF (Coarse, Fine, or Extra fine pitch).
• ASTM B1.1, also defines several constant pitch series. These are denoted by ##-UN. For example, 12-UN or 8-UN. The pitch remains the same for the whole diameter range in these series. However, they are much less popular.

Class:

• The class is defined by a two-character code.
  • The first character is a digit between 1 and 3. 3=Tight fit, 2=Medium fit, and 1=Loose fit.
  • The second character is a letter. A=External thread and B=Internal thread.
  • For a detailed explanation of classes, read the dedicated section below.

Additional Parameters:

• Direction: By default, the thread is right-hand. For a left-hand thread, add the suffix -LH.
• Number of Starts: By default, all threads have a single start. Thus the lead equals the pitch. For a multiple-start thread, the lead is also indicated. For example: 3/4– 0.0625P – 0.1875L UNF denotes a 3/4″ UNF thread with 3 starts. (0.1875/0.0625=3)

Designation Examples of Unified Threads

Possible Combinations (Diameter/Pitch)

The charts below show all the possible thread combinations that are defined in ASTM B1.1

• UNC– Unified Inch Coarse Thread Series
• UNF – Unified Inch Fine Thread Series
• UNEF – Unified Inch Extra Fine Thread Series
• ##-UN – Unified Inch Constant PitchThread Series
• Click to get the Full Thread Data-Sheet for a specific combination

Basic Thread Dimensions (UNC, UNF & UNEF)

The basic dimensions are nominal dimensions of a unified thread profile without allowance and tolerances (The thread class defines that). They are based on standard ASTM B1.1. The basic dimensions can be used for design. However, for manufacturing and machining, you need the allowable range of each dimension. This data can be found in the standard or in the Limits and Dimensions section below. All the basic dimensions are derived from simple formulas based on the thread’s nominal diameter and pitch.

Symbols

List of symbols used in charts and formulas of Unified Inch Threads

Formulas for basic dimensions

External Thread

\( \large d=\text{Basic Diameter} \)
\( \large P=\frac{1}{TPI} \)
\( \large H=\frac{\sqrt{3}}{2}\times{P} = 0.866025404\times{P} \)
\( \large h_s=\frac{5}{8}\times{H} \)
\( \large h_{as}=\frac{3}{8}\times{H}\)
\( \large d_2=d-{2}\times{h_{as}} \)
\( \large d_1=d-{2}\times{h_s}\)
\( \large F_{cs}=\frac{P}{8}\)
\( \large F_{rs}=\frac{P}{4}\)

internal thread

\( \large D=\text{Basic Diameter} \)
\( \large P=\frac{1}{TPI} \)
\( \large H=\frac{\sqrt{3}}{2}\times{P} = 0.866025404\times{P} \)
\( \large h_n=\frac{5}{8}\times{H} \)
\( \large h_{an}=\frac{1}{4}\times{H}\)
\( \large D_1=D-{2}\times{h_n}\)
\( \large D_2=D1+{2}\times{h_{an}}\)
\( \large F_{rn}=\frac{P}{8}\)
\( \large F_{cn}=\frac{P}{4}\)

Unified Inch Threads Dimensions Charts

UNC Series Basic Dimensions chart

Click the Thread Link to get the Full Thread Data for all classes
All dimensions are in inches. To view the Metric translation, click the Thread Link
Click icon to show Additional columns

Click icon to show Full Thread Data

UNF Series Basic Dimensions chart

Click the Thread Link to get the Full Thread Data for all classes
All dimensions are in inches. To view the Metric translation, click the Thread Link
Click icon to show Additional columns

Click icon to show Full Thread Data

UNEF Series Basic Dimensions chart

Click the Thread Link to get the Full Thread Data for all classes
All dimensions are in inches. To view the Metric translation, click the Thread Link
Click icon to show Additional columns

Click icon to show Full Thread Data

UN Constant Pitch Series Basic Dimensions chart

Click the Thread Link to get the Full Thread Data for all classes
All dimensions are in inches. To view the Metric translation, click the Thread Link
Click icon to show Additional columns

Click icon to show Full Thread Data