The Unified Thread Standard (UTS) defines a standard thread form and series—along with allowances, tolerances, and designations—for
screw thread
A screw thread is a helical structure used to convert between rotational and linear movement or force. A screw thread is a ridge wrapped around a cylinder or cone in the form of a helix, with the former being called a ''straight'' thread and t ...
s commonly used in the
United States
The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
and
Canada
Canada is a country in North America. Its Provinces and territories of Canada, ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, making it the world's List of coun ...
. It is the main standard for bolts, nuts, and a wide variety of other
threaded fastener
A fastener (US English) or fastening (UK English) is a hardware device that mechanically joins or affixes two or more objects together. In general, fasteners are used to create non-permanent joints; that is, joints that can be removed or disman ...
s used in these countries. It has the same 60° profile as the
ISO metric screw thread, but the characteristic dimensions of each UTS thread (outer diameter and pitch) were chosen as an
inch
The inch (symbol: in or prime (symbol), ) is a Units of measurement, unit of length in the imperial units, British Imperial and the United States customary units, United States customary System of measurement, systems of measurement. It is eq ...
fraction rather than a
millimeter
330px, Different lengths as in respect of the electromagnetic spectrum, measured by the metre and its derived scales. The microwave is between 1 metre to 1 millimetre.
The millimetre (American and British English spelling differences#-re, -er, i ...
value. The UTS is currently controlled by
ASME
The American Society of Mechanical Engineers (ASME) is an American professional association that, in its own words, "promotes the art, science, and practice of multidisciplinary engineering and allied sciences around the globe" via "continuing edu ...
/
ANSI
The American National Standards Institute (ANSI ) is a private nonprofit organization that oversees the development of voluntary consensus standards for products, services, processes, systems, and personnel in the United States. The organiz ...
in the United States.
Origins
Basic profile

Each thread in the series is characterized by its major diameter and its pitch, . UTS threads consist of a symmetric V-shaped thread. In any plane containing the thread axis, the flanks of the V have an
angle
In Euclidean geometry, an angle can refer to a number of concepts relating to the intersection of two straight Line (geometry), lines at a Point (geometry), point. Formally, an angle is a figure lying in a Euclidean plane, plane formed by two R ...
of 60° to each other. The outermost and the innermost of the height of the V-shape are cut off from the profile.
The major diameter is the diameter of the screw measured from the outer edge of the threads. The minor diameter (also known as the root diameter) is the diameter of the screw measured from the inner edge of the threads. The major diameter may be slightly different from the shank diameter, which is the diameter of the unthreaded part of the screw. The diameters are sometimes given approximately in fractions of an inch (e.g. the major diameter of a #6 screw is 0.1380 in, approximately 0.140625 in.
The pitch is the distance between thread peaks. For UTS threads, which are single-start threads, it is equal to the
lead
Lead () is a chemical element; it has Chemical symbol, symbol Pb (from Latin ) and atomic number 82. It is a Heavy metal (elements), heavy metal that is density, denser than most common materials. Lead is Mohs scale, soft and Ductility, malleabl ...
, the axial distance that the screw advances during a 360° rotation. UTS threads do not usually use the pitch parameter; instead a parameter known as
threads per inch (TPI) is used, which is the
reciprocal of the pitch.
The relationship between the height and the pitch is found using the following equation where is half the included angle of the thread, in this case 30°:
In an external (male) thread (e.g., on a bolt), the major diameter and the minor diameter define dimensions of the thread. This means that the external thread must end flat at , but can be rounded out below the minor diameter . Conversely, in an internal (female) thread (e.g., in a nut), the major and minor diameters are dimensions, therefore the thread profile must end flat at but may be rounded out beyond . These provisions are to prevent any interferences.
The minor diameter and effective pitch diameter are derived from the major diameter and pitch as:
Designation
The standard designation for a UTS thread is a number indicating the nominal (major) diameter of the thread, followed by the pitch measured in
threads per inch. For diameters smaller than inch, the diameter is indicated by an integer number defined in the standard; for all other diameters, the inch figure is given.
This number pair is optionally followed by the letters UNC, UNF or UNEF (Unified) if the diameter-pitch combination is from the ''coarse'', ''fine'', or ''extra fine'' series, and may also be followed by a tolerance class.
Example: #6-32 UNC 2B (major diameter: 0.1380 inch, pitch: 32 tpi)
The following formula is used to calculate the major diameter of a numbered screw greater than or equal to 0: ''Major diameter'' = ''Screw #'' × 0.013 in + 0.060 in. For example, the major diameter of a #10 screw is 10 × 0.013 in + 0.060 in = 0.190 in. To calculate the major diameter of "aught" size screws count the number of extra zeroes and multiply this number by 0.013 in and subtract from 0.060 in. For example, the major diameter of a #0000 screw is 0.060 in − (3 × 0.013 in) = 0.060 in − 0.039 in = 0.021 in.
The number series of machine screws has been extended downward to include #00-90 (0.047 in = 0.060 in − 0.013 in) and #000-120 (0.034 in = 0.060 in − 2 × 0.013 in) screws; however, the main standard for screws smaller than #0 is ANSI/ASME standard B1.10 Unified Miniature Screw Threads. This defines a series of metric screws named after their major diameters in millimetres, from 0.30 UNM to 1.40 UNM. Preferred sizes are 0.3, 0.4, 0.5, 0.6, 0.8, 1.0 and 1.2 mm, with additional defined sizes halfway between. The standard thread pitch is approximately of the major diameter. The thread form is slightly modified to increase the minor diameter, and thus the strength of screws and taps. The major diameter still extends to within ''H'' of the theoretical sharp ''V'', but the total depth of the thread is reduced 4% from ''H'' = cos(30°) ''P'' ≈ 0.541''P'' to 0.52''P''. This increases the amount of the theoretical sharp ''V'' which is cut off at the minor diameter by 10% from 0.25''H'' to − ≈ 0.27456''H''.
The number series of machine screws once included more
odd number
In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not.. For example, −4, 0, and 82 are even numbers, while −3, 5, 23, and 69 are odd numbers.
The ...
s and went up to #16 or more. Standardization efforts in the late 19th and the early part of the 20th century reduced the range of sizes considerably. Now, it is less common to see machine screws larger than #14, or odd number sizes other than #1, #3 and #5. Even though #14 and #16 screws are still available, they are not as common as sizes #0 through #12.
Sometimes "special" diameter and pitch combinations (UNS) are used, for example a major diameter with 20 threads per inch. UNS threads are rarely used for bolts, but rather on nuts, tapped holes, and threaded ODs. Because of this UNS taps are readily available. Most UNS threads have more threads per inch than the correlating UNF or UNEF standard; therefore they are often the strongest thread available. Because of this they are often used in applications where high
stresses are encountered, such as
machine tool spindles or
automotive spindles.
[.]
Gauging
A screw thread gauging system comprises a list of screw thread characteristics that must be inspected to establish the dimensional acceptability of the screw threads on a threaded product and the gauge(s) which shall be used when inspecting those characteristics.
Currently this gauging for UTS is controlled by:
; ASME/ANSI B1.2-1983 Gauges And Gauging For Unified Inch Screw Threads: This Standard provides essential specifications and dimensions for the gauges used on Unified inch screw threads UN
nifiedand UNR
xternal threads onlythread form, and covers the specifications and dimensions for the thread gauges and measuring equipment listed in Tables 1 and 2. The basic purpose and use of each gauge are also described.
; ASME/ANSI B1.3-2007 Screw Thread Gauging Systems for Acceptability
: Inch and Metric Screw Threads (UN, UNR, UNJ, M, and MJ):
These standards provide essential specifications and dimensions for the gauges used on Unified inch screw threads (UN, UNR, UNJ thread form) on externally and internally threaded products. It also covers the specifications and dimensions for the thread gauges and measuring equipment. The basic purpose and use of each gauge are also described. It also establishes the criteria for screw thread acceptance when a gauging system is used.
Tolerance classes
A classification system exists for ease of manufacture and interchangeability of fabricated threaded items. Most (but certainly not all) threaded items are made to a classification standard called the Unified Screw Thread Standard Series. This system is analogous to the
fits
Flexible Image Transport System (FITS) is an open standard defining a digital file format used for storage, transmission and processing of data: formatted as multi-dimensional arrays (for example a 2D image), or tables. FITS is the most commonl ...
used with assembled parts.
*Class 1 threads are loose fit, intended for ease of assembly or use in a dirty environment.
*Class 2 threads are free fit, and the most common. They are designed to maximize strength considering typical machine shop capability and machine practice.
*Class 3 threads are medium fit, still quite common and used for closer tolerances on high quality work.
*Class 4 threads previously designated a close fit for even tighter tolerances, but this classification is now obsolete.
*Class 5 fit is an
interference thread, requiring the use of a wrench for turning. These can be seen in applications like spring shackles on an automobile.
The letter suffix "A" or "B" denotes whether the threads are external or internal, respectively. Classes 1A, 2A, 3A apply to external threads; Classes 1B, 2B, 3B apply to internal threads.
Thread class refers to the acceptable range of pitch diameter for any given thread. The pitch diameter is indicated as Dp in the figure shown above. There are several methods that are used to measure the pitch diameter. The most common method used in production is by way of a
go/no-go gauge
A go/no-go gauge is an inspection tool used to check a workpiece against its allowed tolerances via a go/no-go test. Its name is derived from two tests: the check involves the workpiece having to pass one test (''go'') and fail the other (''no- ...
.
Related standards
* ASME/ANSI B1.1 – 2019 Unified Inch Screw Threads, UN, UNR, & UNJ Thread Form
* ASME/ANSI B1.10M – 2004 Unified Miniature Screw Threads
See also
*
British standard pipe thread
British Standard Pipe (BSP) is a set of technical standards for screw threads that has been adopted internationally for interconnecting and sealing piping, pipes and fittings by mating an external (Gender of connectors and fasteners, male) thread ...
*
British Standard Whitworth
British Standard Whitworth (BSW) is a screw thread standard that uses imperial-unit, imperial (inch-based) units. It was devised and specified by British engineerJoseph Whitworth in 1841, making it the world’s first national screw thread stand ...
*
ISO metric screw thread
*
List of drill and tap sizes
*
List of screw drives
At a minimum, a screw drive is a set of shaped cavities and protrusions on the screw head that allows torque to be applied to it. Usually, it also involves a mating tool, such as a screwdriver, that is used to turn it. Some of the less-common dri ...
*
List of thread standards
*
National pipe thread
American National Standard Pipe Thread standards, often called national pipe thread standards for short, are United States national technical standards for screw threads used on threaded pipes and pipe fittings. They include both tapered and s ...
*
Nut (hardware)
A nut is a type of fastener with a screw thread, threaded hole. Nuts are almost always used in conjunction with a mating bolt (fastener), bolt to fasten multiple parts together. The two partners are kept together by a combination of their threads ...
*
William Sellers
*
United States Standard thread
Notes
Bibliography
*
'Machinery's Handbook'' 29">Machinery's_Handbook.html" ;"title="'Machinery's Handbook">'Machinery's Handbook'' 29
*
External links
Unified Screw Threads with Tolerances(U.S. units)
Unified Coarse/Fine tap drill sizes(U.S. units)
{{Webarchive, url=https://web.archive.org/web/20100502061908/http://www.baconsdozen.co.uk/tools/spanners.htm#chart , date=2 May 2010
Additional information and spanner jaw size table.
Unified Screw Threads SeriesASME B1.1-2003 Unified Inch Screw Threads, (UN and UNR Thread Form)Unified Inch Screw Threads
Thread standards
Screws
Standards of the United States