# Chain (unit)

The chain is a unit of length equal to 66 feet (22 yards). It is subdivided into 100 links[1][2] or 4 rods. There are 10 chains in a furlong, and 80 chains in one statute mile.[2] In metric terms, it is 20.1168 m long.[2] By extension, chainage (running distance) is the distance along a curved or straight survey line from a fixed commencing point, as given by an odometer.

chain
Unit systemimperial/US units
Unit oflength
Conversions
1 chain in ...... is equal to ...
imperial/US units   22 yd
metric (SI) units   20.1168 m

The chain has been used for several centuries in England and in some other countries influenced by English practice. In the United Kingdom, there were 80 chains to the mile, but until the early nineteenth century the Scottish and Irish customary miles were longer than the statute mile; consequently a Scots chain was about 74 (imperial) feet,[3] an Irish chain 84 feet. These longer chains became obsolete following the adoption of the imperial system in 1824.[4] This unit ceased to be permitted to be "used for trade" in 1985.

## Definition

The UK statute chain is 22 yards [66 feet (20.117 m)]. This unit is a statute measure in the United Kingdom, defined in the Weights and Measures Act 1985.[5] One link is a hundredth part of a chain, so is 7.92 inches (20.1 cm).[6]

## Origin

The surveyor's chain was first mentioned 1579[7] and appears in an illustration in 1607.[8] In 1593 the English mile was redefined by a statute of Queen Elizabeth I as 5280 feet, to tie in with agricultural practice. In 1620, the polymath Edmund Gunter developed a method of accurately surveying land using a surveyor's chain 66 feet long with 100 links.[9] The 66 feet unit, which was four perches or rods,[10] took on the name the chain. By 1675 it was accepted, and Ogilby wrote:

...a Word or two of Dimensurators or Measuring Instruments, whereof the mosts usual has been the Chain, and the common length for English Measures 4 Poles, as answering indifferently to the Englishs Mile and Acre, 10 such Chains in length making a Furlong, and 10 single square Chains an Acre, so that a square Mile contains 640 square Acres...'

John Ogilby, Britannia, 1675[7]

From Gunter's system, the chain and the link became standard surveyors' units of length and crossed to the colonies. The thirteen states of America were expanding westward and the public land had to be surveyed for a cadastral. In 1784 Thomas Jefferson wrote a report for the Continental Congress proposing the rectangular survey system; it was adopted with some changes as the Land Ordinance of 1785 on 20 May the following year. In the report, the use of the chain as a unit of measurement was mandated, and the chain was defined.[11]

The chain is the unit of linear measurement for the survey of the public lands as prescribed by law. All returns of measurement in the rectangular system are made in the true horizontal distance in links, chains, and miles. The only exceptions to this rule are special requirements for measurement in feet in mineral surveys and townsite surveys.

Linear Measurement

1 Chain = 100 links or 66 feet
1 Mile = 80 chains or 5,280 feet

Area Measurement

1 Acre = 10 square chains or 43,560 square feet (An acre is the area of 10 square chains or one chain by one furlong (of ten chains)).[2]
1 Square Mile = 640 acres[11]

## Modern use and historic cultural references

### Britain

In Britain, the chain is no longer used for practical survey work.[12] However it survives on the railways of the United Kingdom as a location identifier. When railways were designed, the location of features such as bridges and stations was indicated by a cumulative longitudinal "mileage", using miles and chains, from a zero point at the origin or headquarters of the railway, or the originating junction of a new branch line. Since railways are entirely linear in topology, the "mileage" or "chainage" is sufficient to identify a place uniquely on any given route. Thus a certain bridge location may be indicated as 112 miles and 63 chains (181.51 km) from the origin. In the case of the photograph the bridge is near Keynsham, that distance from London Paddington station. The indication "MLN" after the mileage is the engineers' line reference describing the route as the Great Western Main Line, so that visiting engineers can uniquely describe the bridge they are inspecting, as there may be bridges at 112 miles 63 chains on other routes.

On new railway lines built in the United Kingdom such as High Speed 1, the position along the alignment is still called "chainage" although the value is now defined in metres.[13]

### North America

The use of the chain was mandatory in laying out US townships.[11] A federal law was passed in 1785 (the Public Land Survey Ordinance) that all official government surveys must be done with a Gunter's (surveyor's) chain. Chains and links are commonly encountered in older metes and bounds legal descriptions. Distances on township plat maps made by the US General Land Office are shown in chains.

Under the US Public Land Survey System, parcels of land are often described in terms of the section (640 acres or 259 hectares), quarter-section (160 acres or 64.7 hectares), and quarter-quarter-section (40 acres or 16.19 hectares). Respectively, these square divisions of land are approximately 80 chains (one mile or 1.6 km), 40 chains (half a mile or 800 m), and 20 chains (a quarter mile or 400 m) on a side.

The chain is still used in agriculture: measuring wheels with a circumference of 0.1 chain (diameter ≈ 2.1 ft or 64 cm) are still readily available in Canada and the United States. For a rectangular tract, multiplying the number of turns of a chain wheel for each of two adjacent sides and dividing by 1000 gives the area in acres.

In Canada, road allowances were originally 1 chain wide and are now 20 metres.[14]

The unit was also used in mapping the United States along train routes in the 19th century. Railroads in the United States have long since used decimal fractions of a mile. Some subways such as the New York City Subway and the Washington Metro were designed with and continue with a chaining system using the 100-foot engineer's chain.[15]

In the United States, the chain is also used as the measure of the rate of spread of wildfires (chains per hour), both in the predictive National Fire Danger Rating System as well as in after-action reports. The term chain is used by wildland firefighters in day-to-day operations as a unit of distance.[16]

### Australia and New Zealand

In Australia and New Zealand, most building lots in the past were a quarter of an acre, measuring one chain by two and a half chains, and other lots would be multiples or fractions of a chain.[17] The street frontages of many houses in these countries are one chain wide—roads were almost always 1 chain (20.1 m) wide in urban areas,[17] sometimes 1.5 chains (30.2 m) or 2.5 chains (50.3 m). Laneways would be half a chain (10.1 m). In rural areas the roads were wider, up to 10 chains (201.2 m) where a stock route was required. 5 chains (100.6 m) roads were surveyed as major roads or highways between larger towns, 3 chains (60.4 m) roads between smaller localities,[18] and 2 chains (40.2 m) roads were local roads in farming communities. Roads named Three Chain Road etc. persist today.[19][20]

The "Queen's Chain" is a concept that has long existed in New Zealand, of a strip of public land, usually 20 metres (or one chain in pre-metric measure) wide from the high water mark, that has been set aside for public use along the coast, around many lakes, and along all or part of many rivers.[21][22] These strips exist in various forms (including road reserves, esplanade reserves, esplanade strips, marginal strips and reserves of various types) but not as extensively and consistently as is often assumed.[23]

### Cricket pitches

The chain also survives as the length of a cricket pitch, being the distance between the stumps.

## Measuring instruments

Civil engineers and surveyors use various instruments (chains) for measuring distance.[24] Other instruments used for measuring distance include tapes and bands. A steel band is also known as a "band chain".[25]

### Surveyors' chain (Gunter's chain)

In 1620, the polymath Edmund Gunter developed a method of accurately surveying land using a 100 link chain, 66 feet long called the Gunter's Chain. Other surveyors chains have been used historically.

### Engineer's chain (Ramsden's chain)

A longer chain of 100 feet (30 m), with a hundred 1 foot (0.30 m) links, was devised in the UK in the late 18th century by Jesse Ramsden, though it never supplanted Gunter's chain.[6] Surveyors also sometimes used such a device, and called it the engineer's chain.

### Vara or Texas chain

In the Southwestern United States, the vara chain also called the Texas chain, of 20 varas (16.9164 m , or 55 12 ft) was used in surveying Spanish and later Mexican land grants, such as the major Fisher–Miller and Paisano Grants in Texas, several similarly large ones in New Mexico, and over 200 smaller ranchos in California.

### Metric chains

Metric chains, of lengths 5 m, 10 m, 20 m and 30 m, are widely used in India.[24] Tolerances are +/- 3 mm for 5 m and 10 m chains, +/- 5 mm for a 20 m chain, and +/- 8 mm for a 30 m chain.[26]

### Revenue chain

In India, a revenue chain with 16 links and of length 10 m (33 ft) is used in cadastral surveys.[27]

### Other instruments

Also in North America, a variant of the chain is used in forestry for traverse surveys. This modern chain is a static cord (thin rope) 50 metres long, marked with a small tag at each metre, and also marked in the first metre every decimetre. When working in dense bush, a short axe or hatchet is commonly tied to the end of the chain, and thrown through the bush in the direction of the traverse.

Another version used extensively in forestry and surveying is the hip-chain: a small box containing a string counter, worn on the hip. The user ties off the spooled string to a stake or tree and the counter tallies distance as the user walks away in a straight line. These instruments are available in both feet and metres.

The lyrics of Three Chain Road, by Lee Kernaghan, include the line "He lived out on the three chain road".[28]

## References

1. Mathematics Dictionary (p 453), R.C. James, ISBN 9780412990410
2. "6 Tables of Interrelation of Units of Measurement". Units of Weight and Measure (United States Customary and Metric): Definitions and Tables of Equivalents (PDF). U.S. Department of Commerce, National Bureau of Standards. 1960. pp. 8–9. (PDF)
3. Smeaton, John (1837). Reports of the Late John Smeaton, F.R.S. (2nd ed.). London: M Taylor. p. 308. Since the foregoing Report [on the best route for the Forth and Clyde Canal] ... was delivered ... , Mr Smeaton has discovered that, notwithstanding the care and pains he took to be correct, he has committed an error, in supposing the Scotch chain, with which the measures of the length of the tract of land were taken, to consist of seventy feet each, whereas, in reality, it consists of seventy-four
4. William John Macquorn Rankine (1863). A Manual of Civil Engineering (2nd ed.). London: Griffin Bohn & Company. p. 3.
5. "Weights and Measures Act 1985". Legislation.gov.uk. Sch 1, Part VI. Retrieved 25 September 2014.
6. William John Macquorn Rankine (1863). A Manual of Civil Engineering (2nd ed.). London: Griffin Bohn & Company. pp. 18–19.
7. "C J's Metal Detecting Pages". www.ukdfd.co.uk.
8. Corneliisz van Alckmaer, Pieter. ""Caerte vande gheleghentheyt van de Beemster met de landen die daeromme ende aengheleghen zijn , na rechte landmetersch conste op perfecte maet aldus ghestelt door Pieter Cornelisz. Cort van Alckmaer, ghesworen landmeter, anno 1607". Het Schermereiland met links een deel van de onbedijkte Schermer en rechts de onbedijkte Beemster". www.regionaalarchiefalkmaar.nl (in Dutch). Retrieved 29 July 2018.
9. "Gunter biography". www-history.mcs.st-andrews.ac.uk. Retrieved 21 July 2018.
10. Slater, Michael; Saunders, Ian. "Rods, poles and perches". www.northcravenheritage.org.uk. North Craven Heritage Journal. Retrieved 29 July 2018.
11. Cazier, Lola. "Surveys and Surveyors of the Public Domain 1785-1975" (PDF). Stock Number 024-041-00083-6: US Government. p. 22. Retrieved 29 July 2018.
12. Plane and Geodetic Surveying, A.L. Johnson (SPON)
13. HS2 proposed alignment with chainages expressed in metres
14. Lakey, Jack (21 June 2017). "Turns out there is a standard to determine where a homeowner's property ends: The Fixer". Toronto Star. Retrieved 22 June 2017.
15. "The ERA Bulletin 2017-01". Issuu. Electric Railroaders' Association. January 18, 2017. Retrieved January 18, 2017.
16. Documents
17. George Seddon (28 September 1998). Landprints: Reflections on Place and Landscape. Cambridge University Press. pp. 151–. ISBN 978-0-521-65999-4. Retrieved 28 May 2013.
18. Lay, M. G. (July 2008). "Roads". emelbourne the city past and present. School of Historical Studies Department of History, The University of Melbourne. Retrieved 28 May 2013.
19. "375 THREE CHAIN ROAD, Kilmore, Vic 3764 - Property Details". www.realestate.com.au. Retrieved 8 August 2018.
20. "Map of Three Chain Road in Queensland - Bonzle Digital Atlas of Australia". www.bonzle.com. Retrieved 8 August 2018.
21. "Queen's Chain". Oxford Dictionaries – oxforddictionaries.com. Retrieved 4 July 2017.
22. "Truth behind the Queen's Chain". NZ Herald. 12 August 2003. Retrieved 4 July 2017.
23. "Te Ara, Encyclopaedia of New Zealand".
24. Punmia, B. C.; Jain, A. K.; Jain, A. K. (2003). Basic civil engineering. Firewall Media.
25. Types of Chains used in Surveying, Their Parts, Testing and Advantages
26. Bhavikatti, S. S. (2010). Surveying and levelling (Vol. 1). IK International Pvt Ltd.
27. Instruments used in Surveying - Instruments Used for Measuring Distance
28. Lee Kernaghan - Three Chain Road lyrics