Recent from talks
Nothing was collected or created yet.
Chain (unit)
View on Wikipedia| chain | |
|---|---|
The chain is based on the length of Gunter's chain, which is 66 feet (22 yd) long. | |
| General information | |
| Unit system | Imperial/US units |
| Unit of | length |
| Symbol | ch |
| Conversions | |
| 1 ch in ... | ... is equal to ... |
| Imperial/US units | 22 yd, 66 ft, 100 links |
| Metric (SI) units | 20.1168 m |
The chain (abbreviated ch) is a unit of length equal to 66 feet (22 yards), used in both the US customary and Imperial unit systems. It is subdivided into 100 links.[1][2] 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.
The chain has been used since the early 17th century in England, and was brought by British settlers during the colonial period to other countries around the globe. 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 of units in 1824.[4] In India, "metric chains" of exactly 20 metres (65.62 feet) are used, along with fractions thereof.[5]
Definition
[edit]The UK statute chain is 22 yards, which is 66 feet (20.1168 m). This unit is a statute measure in the United Kingdom, defined in the Weights and Measures Act 1985.[6] One link is a hundredth part of a chain, which is 7.92 inches (20.1168 cm).[7]
The surveyor's chain first appears in an illustration in a Dutch map of 1607,[8] and in an English book for surveyors of 1610.[9] In 1593 the English mile was redefined by a statute of Queen Elizabeth I as 5,280 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.[10] The 66-foot unit, which was four perches or rods,[11] 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 most usual has been the Chain, and the common length for English Measures 4 Poles, as answering indifferently to the English 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...[12]
— John Ogilby, Britannia, 1675
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.[13]
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.[13]
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
- 1 square mile = 640 acres
— Lola Cazier (1976), Surveys and Surveyors of the Public Domain 1785-1975, page 15
Modern use and historic cultural references
[edit]United Kingdom
[edit]
In the United Kingdom, the chain is no longer used for practical survey work.[14] However, it is still used on the railways 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 linear in topology, the "mileage" or "chainage" is sufficient to identify a place uniquely on any given route. Thus, a given 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, which is that distance from London Paddington station. The indication "MLN" after the mileage is the Engineer's Line Reference describing the route as the Great Western Main Line, which is needed to uniquely determine the bridge, as there may be points 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 referred to as "chainage", although the value is now expressed in metres.[15]
North America
[edit]The use of the chain was mandatory in laying out US townships.[13] 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 1,000 gives the area in acres.
In Canada, road allowances were originally 1 chain wide and are now 20 metres.[16]
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 [when?] 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.[17]
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.[18]
Australia and New Zealand
[edit]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.[19] 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,[19] 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,[20] and 2 chains (40.2 m) roads were local roads in farming communities. Roads named Three Chain Road etc. persist today.[21][22]
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.[23][24] 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.[25]
Cricket pitches
[edit]The chain also survives as the length of a cricket pitch, being the distance between the stumps.[26][27]
Measuring instruments
[edit]Civil engineers and surveyors use various instruments including chains to measure distance.[5] Other instruments used for measuring distance include tapes and bands. A steel band is also known as a "band chain".[28]
Surveyors' chain (Gunter's chain)
[edit]In 1620, the polymath Edmund Gunter developed a method of accurately surveying land using a 100 link chain, 22 yards (66 feet) long, called the Gunter's Chain. Other surveyors chains have been used historically.
Engineer's chain (Ramsden's chain)
[edit]
A longer chain of 100 feet (30.5 m), with a hundred 1 foot (305 mm) links, was devised in the UK in the late 18th century by Jesse Ramsden, though it never supplanted Gunter's chain.[7] Surveyors also sometimes used such a device, and called it the engineer's chain.
Vara or Texas chain
[edit]In the Southwestern United States, the vara chain also called the Texas chain, of 20 varas (16.9164 m (55.5 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
[edit]Metric chains, of lengths 5 m, 10 m, 20 m and 30 m, are widely used in India.[5] 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.[29]
Revenue chain
[edit]In India, a revenue chain with 16 links and of length 10 m (33 ft) is used in cadastral surveys.[30]
Other instruments
[edit]Also in North America, a variant of the chain is used in forestry for traverse surveys.[citation needed] 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.[citation needed] 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.[clarification needed]
Another version used extensively in forestry and surveying is the hip-chain: a small box containing a string counter, worn on the hip.[citation needed] 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.
References
[edit]- ^ James, Robert C.; James, Glenn (1992). Mathematics Dictionary. New York: Chapman & Hall. p. 453. ISBN 9780412990410.
- ^ a b c "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)
- ^ 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
- ^ William John Macquorn Rankine (1863). A Manual of Civil Engineering (2nd ed.). London: Griffin Bohn & Company. p. 3.
- ^ a b c Punmia, B. C.; Jain, A. K.; Jain, A. K. (2003). Basic civil engineering. New Delhi: Laxmi Publications. ISBN 9788170084037. OCLC 1006316184.
- ^ "Weights and Measures Act 1985". Legislation.gov.uk. Sch 1, Part VI. Retrieved 25 September 2014.
- ^ a b William John Macquorn Rankine (1863). A Manual of Civil Engineering (2nd ed.). London: Griffin Bohn & Company. pp. 18–19.
- ^ 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". Regional Archive, Alkmaar (in Dutch). Retrieved 29 July 2018.
- ^ "Chain (5)". The Oxford English Dictionary - 1933 - All Volumes. Oxford English Dictionary. Vol. 2. 1933. p. 248.
1610 W. FOLKINGHAM, Art Survey.
- ^ "Gunter biography". www-history.mcs.st-andrews.ac.uk. Retrieved 21 July 2018.
- ^ Slater, Michael; Saunders, Ian. "Rods, poles and perches". www.northcravenheritage.org.uk. North Craven Heritage Journal. Retrieved 29 July 2018.
- ^ "Preface". Britannia. 1675 – via Fulltable.com.
- ^ a b c Cazier, Lola. "Surveys and Surveyors of the Public Domain 1785-1975" (PDF). US Government. p. 22. Stock Number 024-041-00083-6. Retrieved 29 July 2018.
- ^ Plane and Geodetic Surveying, A.L. Johnson (SPON)
- ^ HS2 proposed alignment with chainages expressed in metres
- ^ 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.
- ^ "The ERA Bulletin 2017-01". Issuu. Electric Railroaders' Association. January 18, 2017. Retrieved January 18, 2017.
- ^ Documents
- ^ a b 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.
- ^ 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.
- ^ "375 THREE CHAIN ROAD, Kilmore, Vic 3764 - Property Details". www.realestate.com.au. Retrieved 8 August 2018.
- ^ "Map of Three Chain Road in Queensland - Bonzle Digital Atlas of Australia". www.bonzle.com. Retrieved 8 August 2018.
- ^ "Queen's Chain". Oxford Dictionaries – oxforddictionaries.com. Archived from the original on August 8, 2018. Retrieved 4 July 2017.
- ^ "Truth behind the Queen's Chain". The New Zealand Herald. 12 August 2003. Retrieved 4 July 2017.
- ^ "Te Ara, Encyclopedia of New Zealand".
- ^ "The measurements of cricket". ESPN Cricinfo. Retrieved 19 February 2020.
- ^ "Cricket - factfile". BBC Bitesize. Retrieved 19 February 2020.
- ^ Types of Chains used in Surveying, Their Parts, Testing and Advantages
- ^ Bhavikatti, S. S. (2008). "Chain Surveying". Surveying and levelling. Vol. 1. New Delhi: IK International. ISBN 9788190694209. OCLC 660131493.
- ^ Instruments used in Surveying - Instruments Used for Measuring Distance
External links
[edit]Chain (unit)
View on GrokipediaDefinition
Core Definition and Equivalents
1 chain = 20.1168 metres (exact)[7] The chain is a unit of length equal to 66 feet (20.1168 meters), historically employed in surveying and real estate measurement.[8] This measurement derives from Gunter's chain, comprising 100 iron links each 7.92 inches long.[9]| Unit | Conversion |
|---|---|
| league [lea] | 0.00416667 |
| mile [mi] | 0.0125 |
| quarter mile | 0.05 |
| furlong [fur] | 0.1 |
| chain [ch] | 1 |
| rod [rd] | 4 |
| yard [yd] | 22 |
| foot [ft] | 66 |
| metre | 20.1168 |
| centimetre [cm] | 2,011.68 |
| nautical mile | 0.0108622 |
| international cable | 0.108622 |
| US survey chain | 0.999998 |
1. ^ NIST Special Publication 811: Appendix B - Conversion Factors, https://www.nist.gov/system/files/documents/2017/05/09/sp811.pdf
#cite_note-ngs-22. ^ NOAA/NGS: The US Survey Foot and US Legacy Survey Foot, https://www.ngs.noaa.gov/PUBS_LIB/us_survey_foot.html
Etymology and Conceptual Basis
The term "chain" as a unit of length originates from the physical surveyor's chain, a flexible measuring tool made of linked iron or steel segments used to gauge distances on uneven terrain. This instrument, employed in land measurement since at least the medieval period, lent its name to the standardized unit due to its literal chain-like construction of interconnected links. Early variants, such as 50-link chains measuring 33 feet, were common before formalization, reflecting practical adaptations for fieldwork rather than arbitrary nomenclature.[15] Edmund Gunter's 1620 innovation standardized the chain at 66 feet with 100 links, each 7.92 inches long, enhancing precision and portability over ropes or cords prone to stretching. The conceptual basis emphasized utility in agrarian surveying: the length was selected so that 10 chains by 10 chains equals one acre (4,840 square yards), as a single square chain covers 484 square yards, enabling efficient computation of rectangular plots without complex fractions. This design integrated with pre-existing units, equating to four poles or rods (each 16.5 feet), thus bridging traditional furrow widths and perch measures to imperial land division.[16][17] The unit's rationale prioritized causal efficiency in causal chains of land allocation—from plowing furrows to legal acre claims—avoiding the inconsistencies of variable rope lengths while accommodating the physical drag and sag of metal links over obstacles. Gunter's configuration, marked by brass tags every 10 links, supported decimal subdivisions for angles and bearings, grounding the abstract unit in empirical handling constraints.[18]Historical Development
Pre-Gunter Origins
The rod, pole, or perch served as the primary linear unit for land measurement and surveying in England prior to 1620, typically equaling 16.5 feet or 5.5 yards. This unit traced its roots to agricultural tools, with "perch" deriving from the Latin pertica for a measuring staff and "rod" from Old English rōd, denoting a goad or pole employed by ploughmen to guide oxen. Variations existed, typically ranging from 15 to 18 feet in English contexts, but the 16.5-foot length appeared in records as early as the thirteenth century, reflecting practical standardization for field demarcation and manorial assessments.[19][20][21] Medieval surveyors applied the rod to quantify linear distances and compute areas, such as the acre defined as a rectangle 4 rods wide by 40 rods long (one furlong), yielding 160 square rods. This configuration facilitated efficient plowing, as a team of oxen could cover the furlong length without rest, while the rod's manageability suited manual measurement with wooden staffs or knotted cords marked at intervals. Surveying practices emphasized practical geometry from Euclid's principles, including triangulation for irregular plots, but relied on these physical rods for baseline lengths amid manorial records for tenure, taxation, and boundary disputes from the twelfth to fifteenth centuries.[22][23][24] By the early seventeenth century, the rod had achieved greater uniformity at 16.5 feet, as established in medieval records from the thirteenth century, providing the foundational length that Edmund Gunter later aggregated into four rods for his chain to simplify acreage calculations—specifically, ten such chains equaling one furlong and ten square chains forming one acre. Pre-Gunter methods lacked a dedicated chaining tool, instead employing ad hoc ropes or poles stretched taut, prone to sag and inaccuracy over longer spans, which underscored the need for Gunter's innovation.[24][25]Invention and Standardization by Edmund Gunter (1620)
In 1620, English mathematician and astronomer Edmund Gunter (1581–1626) introduced a standardized surveying chain to improve the accuracy of land measurement.[26] The device consisted of 100 iron or steel links, each measuring 7.92 inches (20.1168 cm), yielding a total length of 66 feet (20.1168 meters).[27] This design aligned precisely with established English units, equating to four poles (or rods), where each pole was fixed at 16.5 feet, facilitating integration with customary systems like the furlong (10 chains) and statute mile (80 chains).[28] Gunter's innovation addressed limitations in prior ad hoc methods, such as pacing or variable rods, by providing a portable, durable tool divisible into decimal subunits for trigonometric calculations in surveying.[29] His chain's uniformity enabled consistent area computations, as one square chain equaled 10 square poles or 1/10 acre, streamlining cadastral records and estate divisions.[27] Published amid Gunter's broader work on logarithmic tables and instruments in Canon Triangulorum Logarithmorum (1620), the chain reflected his advocacy for mechanical aids in practical mathematics, particularly for surveyors and navigators.[29] The chain's adoption marked a pivotal standardization, becoming a statutory measure in England by the late 17th century and extending to British colonies.[16] This legal recognition, rooted in Gunter's empirical design, minimized disputes over boundaries and promoted reproducible measurements across imperial territories, enduring as the Gunter's chain until metric transitions in the 20th century.[28]Adoption in Colonial and Imperial Contexts
The adoption of Gunter's chain in colonial and imperial contexts stemmed from its standardization as a statutory measure in England after 1620, extending to British overseas territories for precise land demarcation essential to settlement, agriculture, and administration.[30] In the North American colonies, surveyors employed the chain alongside compasses for metes-and-bounds descriptions of irregular parcels, a practice common in New England by the early 18th century and continuing into the post-independence era.[27] The chain's role expanded significantly with the Land Ordinance of 1785, which mandated its use in the Public Land Survey System (PLSS) to systematically divide federal territories west of the original 13 states into a rectangular grid.[30][31] This began concretely on September 30, 1785, when Geographer of the United States Thomas Hutchins initiated surveys along the Ohio River's west bank, laying out the Seven Ranges—the first PLSS project encompassing about 1 million acres in present-day Ohio.[32] The system structured townships as six-mile squares (80 chains per side), subdivided into 36 one-square-mile sections of 640 acres each, where one acre equated to 10 square chains, enabling efficient allocation for sale, farming, and reserving public lands like section 16 for schools.[30][31] Over the 19th century, the PLSS employed Gunter's chains to survey roughly 1.5 billion acres across the Midwest and West, influencing enduring grid patterns in urban and rural development; for instance, Wisconsin's statewide surveying commenced from a 1831 Point of Beginning marker.[30][31] In broader imperial applications, the chain supported colonial land measurement in regions like Australia, where it aided early surveys in Van Diemen's Land (Tasmania) for settlement and property delineation in the late 18th and early 19th centuries.[18] This imperial dissemination underscored the chain's utility in imposing standardized, quantifiable boundaries on diverse terrains, prioritizing administrative efficiency over local customary measures.Variants of the Chain Unit
Gunter's Chain (Surveyor's Chain)
Gunter's chain, also known as the surveyor's chain, is a linear measuring instrument consisting of 100 linked iron or steel segments totaling 66 feet in length.[1] Each link measures 7.92 inches, with brass tags or rings typically marking every 10 links for ease of counting during use.[28] This design facilitated precise distance measurement in land surveying by allowing two operators—one at each end—to stretch the chain taut between iron arrows or pins inserted at intervals.[18] Introduced in 1620 by English mathematician and astronomer Edmund Gunter, the chain standardized fieldwork that previously relied on less consistent methods like paced steps or ropes prone to stretching.[16] Gunter's innovation aligned with existing units, where one chain equals four rods or poles, ten chains form a furlong, and ten square chains define one acre, simplifying area calculations for rectangular plots common in agrarian societies.[1] The 66-foot length was not arbitrary but derived from practical surveying needs, enabling efficient computation of land areas without fractional conversions, as a one-chain by ten-chain rectangle yields exactly one acre.[18] In practice, the chain was deployed horizontally on relatively level terrain, with adjustments for slope using trigonometric corrections or multiple measurements.[28] Surveyors often paired it with a compass or circumferent for bearing angles, recording data in field notes to plot boundaries, roads, and property divisions.[33] Its durability and portability made it indispensable for colonial expansions, including the surveying of public lands in North America west of the original thirteen colonies, where it influenced cadastral systems persisting into the 20th century.[31] Despite the advent of steel tapes and electronic tools, replicas and the chain unit remain in use for historical recreations and certain legal descriptions tied to original surveys.[18]Engineer's Chain (Ramsden's Chain)
The Engineer's chain, also designated as Ramsden's chain, measures precisely 100 feet (30.48 meters) in total length and comprises 100 links, with each link standardized at 1 foot (0.3048 meters).[34][35] This configuration facilitates decimal subdivisions, as each foot-long link can be further divided into 10 parts of 0.1 foot (1.2 inches), enhancing precision in measurements beyond the fractional divisions typical of earlier chains.[36] Developed for civil engineering applications, it diverged from the Gunter's chain's 66-foot length to align with practical needs in linear infrastructure projects.[37] Named after British instrument maker Jesse Ramsden (1735–1800), the chain reflects advancements in precision instrumentation during the late 18th century, when Ramsden pioneered high-accuracy steel chains for surveying.[34] Ramsden's innovations addressed inaccuracies in traditional wrought-iron chains, employing tempered steel bands with handles and swivel mechanisms to minimize sag and elongation under tension.[37] Historical records indicate its adoption accelerated with the expansion of canal and railroad construction in Britain and North America, where 100-foot increments simplified stationing and alignment calculations over long distances.[38] By the early 19th century, Ramsden-type chains became standard in engineering surveys, supplanting Gunter's chain in contexts requiring foot-based metrics rather than rod or acre-derived units.[39] In practice, the Engineer's chain supported cadastral and topographical work by enabling direct foot measurements, reducing conversion errors in projects like road grading and bridge placement.[36] Its 100-link structure allowed for tallying full chains as integers, with fractional distances noted via link counts or subdivisions, a method documented in 19th-century surveying manuals for maintaining chain tension at 10–20 pounds to ensure accuracy within 0.1 foot over 100 feet.[37] Although largely obsolete in modern digital surveying, remnants of its influence persist in legacy engineering drawings and certain U.S. state land records, where distances are expressed in chains of 100 feet.[36] The unit's metric equivalent is approximately 30.48 meters, underscoring its imperial origins amid the Industrial Revolution's emphasis on scalable, repeatable measurements.[35]Regional and Specialized Variants
In India, the revenue chain serves as a specialized variant adapted for cadastral and land revenue surveys, measuring 33 feet (10 meters) in total length and divided into 16 links, with each link approximately 2.0625 feet long.[40][4] This shorter configuration, equivalent to half a Gunter's chain, enables precise delineation of small agricultural plots and boundaries in densely divided land holdings typical of rural revenue assessments.[41] Its adoption reflects practical adjustments to local surveying needs under British colonial administration, persisting in some post-independence contexts for compatibility with legacy records.[42] Other regional adaptations include metric chains standardized at 20 meters (approximately 65.62 feet) in India and similar Commonwealth-influenced areas, though these represent transitional units rather than distinct chain variants.[43] Specialized chains for revenue purposes have occasionally incorporated steel bands for durability in tropical conditions, but the 33-foot length remains the defining feature for such applications.[44] Historical records indicate limited proliferation beyond South Asia, with standard Gunter's chains dominating in North American and European surveying traditions.[45]Measuring Instruments
Traditional Physical Chains
Traditional physical chains were metal-linked measuring devices employed in land surveying to quantify distances in chain units, predating flexible tapes and electronic tools. These chains embodied the standardized lengths of the Gunter's or engineer's units, typically constructed from iron or steel wire formed into oval links connected by smaller rings.[16][46] The links were often brazed or welded for durability, with brass tags or tallies marking intervals such as every 10 links to facilitate counting during use.[16] The Gunter's chain, the most prevalent traditional form, measured exactly 66 feet (20.117 meters) and comprised 100 links, each 7.92 inches (0.201 meters) long.[47] It featured wooden or brass handles at both ends for gripping, swivels at 25-link intervals to prevent twisting, and brass arrows (tags) at every 10 links for quick reference.[16] Surveyors operated it by stationing two chain carriers—one at each end—to stretch the chain taut horizontally over terrain, advancing in segments while a lead man directed with a compass and recorded measurements in chains and links.[48] This method allowed precise cadastral mapping but required corrections for chain sag under its own weight in longer unsupported spans and thermal expansion of the metal.[49] The engineer's chain, or Ramsden's chain, extended 100 feet (30.48 meters) with 100 links each one foot long, using similar steel construction but with larger handles and markings every 20 links.[50] Introduced in the late 18th century, it suited engineering projects needing decimal-like subdivisions and included a central snap hook for half-chain measurements.[50] Both chain types, weighing several pounds, demanded physical endurance from operators and were prone to wear, necessitating periodic calibration against standards like iron bars.[46] Their use persisted into the 20th century in regions adhering to imperial measures, though inaccuracies from uneven ground and human error limited precision to about 1:5000 in favorable conditions.[51]Adaptations and Metric Equivalents
The Gunter's chain, measuring 66 feet, equates to precisely 20.11684023368 meters.[52] Engineer's chain, at 100 feet, corresponds to 30.48 meters.[53] These conversions derive from the international foot definition of 0.3048 meters exactly, applied to the imperial lengths standardized in surveying practice.[54] In metric-adapted surveying, particularly in countries undergoing metrication such as India and other Commonwealth nations, the traditional chain lengths have been approximated with standardized metric chains of 20 meters (closely matching Gunter's chain) or 30 meters (matching engineer's chain).[55] These metric chains consist of 100 links each 0.2 meters long for the 20-meter variant, facilitating compatibility with imperial-derived land records while aligning with SI units; brass or steel construction with interval markings at 2-meter and 5-meter points aids rapid field measurements. Shorter variants of 5 or 10 meters serve auxiliary roles in detailed or obstructed surveys, but the 20-meter chain predominates for primary linear measurements due to its practical handling and minimal sag under tension.[44] Such adaptations preserve the chain's utility in cadastral and agricultural contexts where historical acre calculations (10 square chains equaling 1 acre, or approximately 0.4047 hectares) require conversion factors like 1 square chain ≈ 404.6856 square meters.[56] Modern software and total stations often reference these equivalents internally for legacy data integration, though direct metric tapes or electronic distance measurement devices have largely supplanted physical chains in precision work.[57]Modern Surveying Tools Referencing Chains
Electronic total stations and GPS systems, while measuring distances in metric or decimal feet, often interface with field and office software that converts outputs to chain units for alignment with historical Public Land Survey System (PLSS) records, where sections are subdivided using 80 chains per mile. This referencing ensures accurate boundary retracement, as original PLSS monuments were established with Gunter's chains, requiring modern computations to express discrepancies in chains and links for legal plats.[1][58] Surveying software such as Trimble Access and Carlson SurvCE processes raw data from total stations or GNSS receivers, enabling users to specify chain-based calculations for traverse adjustments and coordinate transformations, particularly in rural or legacy land parcels. CAD platforms like AutoCAD Civil 3D support direct entry of survey bearings and distances in chains (66 feet) and links (7.92 inches), allowing automated plotting of deed calls and generation of maps that preserve imperial units without manual conversion errors.[51][59] In specialized applications, such as cadastral resurveys by the Bureau of Land Management, GPS-derived positions are adjusted to chain grids using least-squares optimization in software like PROJ or custom PLSS tools, maintaining the unit's empirical utility for aliquot part descriptions (e.g., quarter-quarter sections at 20 chains intervals). This approach mitigates cumulative errors from metric approximations, as the chain's design inherently ties to acreage computations (10 square chains per acre).[1]Practical Applications
Land Surveying and Cadastral Mapping
In land surveying, the chain unit—specifically Gunter's chain of 66 feet divided into 100 links—enabled surveyors to measure linear distances between established points, forming the backbone of boundary delineation for property division. This tool, introduced in 1620, replaced less precise methods like pacing or rods, allowing for consistent fieldwork that supported the creation of accurate plats and maps essential to legal land transfers.[18][16] The Public Land Survey System (PLSS), established under the Land Ordinance of 1785, relied on chains to subdivide vast territories west of the original colonies into townships of 6 miles by 6 miles, further divided into 36 sections each 1 mile square—equivalent to 80 chains per side. Surveyors stretched chains end-to-end along meridians and baselines, marking corners with monuments to define rectangular parcels, which minimized disputes by standardizing descriptions in metes and bounds or aliquot parts.[60][61] Cadastral mapping, the process of recording land ownership boundaries for fiscal and administrative purposes, benefited from the chain's empirical utility: 10 chains by 1 chain yields 1 furlong, and 10 square chains equals 1 acre (43,560 square feet), facilitating direct area computations without complex conversions during fieldwork. This design stemmed from pre-existing English agrarian measures, ensuring compatibility with colonial deeds and enabling efficient taxation and settlement records.[62][63] In practice, chain surveying involved teams of two to four pulling the chain taut over terrain, tallying links for fractions of chains (e.g., a half-chain as 50 links), and integrating compass bearings to plot irregular boundaries in regions with obstacles like rivers. While terrain-induced sag or expansion from temperature affected precision—necessitating corrections tabulated in survey manuals—the method's simplicity supported widespread cadastral efforts, as seen in early American frontier surveys where chains measured millions of acres for patents.[64][65]Agriculture and Acreage Calculation
The chain unit's design by Edmund Gunter in 1620 inherently linked it to agricultural land measurement, as one acre equals precisely 10 square chains, enabling direct computation of field areas from linear surveys without intermediate conversions to feet or other units.[6] This equivalence derives from the chain's length of 66 feet (or 100 links), where a rectangular plot one chain wide by 10 chains long yields 10 square chains, matching the statute acre of 43,560 square feet.[66] Surveyors applied this in practice by measuring field perimeters or traverses in chains, then calculating area via geometric formulas; for irregular shapes, methods like Simpson's rule approximated acreage by summing chain-based offsets.[67] In agricultural contexts, particularly during colonial expansion in North America, chains facilitated cadastral surveys for parceling farmland under systems like the U.S. Public Land Survey of 1785, dividing townships into 640-acre sections (equivalent to 6,400 square chains) that were subdivided into 40-acre or 160-acre farm lots for sale to settlers.[58] Acreage determination using chains supported taxation, inheritance, and crop yield assessments, with farmers relying on these measurements to allocate seeds, fertilizers, or plowing at rates per acre—e.g., a 160-acre quarter-section required surveying boundaries in chains to confirm tillable area amid fences or waterways.[68] This system's empirical basis lay in its reproducibility with physical chains, reducing disputes over irregular terrain, though accuracy depended on tension, sag, and terrain corrections during measurement.[67] Contemporary remnants persist in regions like the U.S. Midwest, where farmland transactions reference chain-derived acreages, such as 40-acre blocks traceable to original surveys, aiding precision agriculture overlays with GPS despite metric dominance.[68] Measuring wheels calibrated to 0.1 chain increments continue use in Canadian and U.S. farming for verifying field sizes against deeds, underscoring the unit's causal utility in linking historical surveys to modern yield mapping.[31]Sports and Field Measurements
In cricket, the standard pitch length between wickets is 22 yards (20.12 meters), precisely equivalent to one Gunter's chain, a measurement that originated from 17th-century English surveying practices and was codified in the sport's rules by the 18th century.[69][70] This dimension ensures consistent playing conditions across international matches, with the full playing area including creases extending slightly beyond the wickets, but the core distance remains tied to the chain unit for historical and practical standardization.[71] American football employs chains for on-field distance verification, particularly to confirm whether a team has gained the required 10 yards (30 feet, or approximately 0.455 chains) for a first down, a rule established in 1906 to advance the ball after three plays.[72] The "chain gang"—a crew operating two poles connected by a taut 10-yard chain—positions the apparatus along the sideline or on the field for spot measurements, with the rear pole aligned to the previous line of scrimmage via visual cues from officials and field markings.[73] This manual method, while accurate to within inches under controlled tension, derives its nomenclature from surveying chains but uses a scaled segment; it persisted through the 2024 NFL season despite technological alternatives.[74] Beginning in the 2025 season, the NFL adopted Hawk-Eye camera systems as the primary measurement tool, relegating physical chains to backup verification to enhance precision and reduce game interruptions.[75][76]Regional and Contemporary Usage
United Kingdom and Commonwealth Nations
The chain, defined as 66 feet or 22 yards, originated in England with Edmund Gunter's 1620 invention of a 100-link surveying chain designed to simplify land measurement by aligning with the acre, where 10 square chains equal one acre.[77] This unit became standard in British surveying practices, facilitating precise cadastral mapping and agricultural delineation throughout the 17th to 19th centuries.[35] Although the United Kingdom's Weights and Measures Act 1985 and subsequent metrication efforts from the 1960s onward prioritized metric units for most applications, rendering the chain obsolete in general land surveying by the 1990s, it persists in specialized contexts.[78] Specifically, British railways maintain chain-based measurements for track positioning, with Network Rail designating miles and chains as official route units; for instance, locations are referenced as "milepost X chains Y" to denote distances from a datum point.[79] Efforts to metricate railway signage, announced by Network Rail in 2014, have not been fully implemented, preserving this imperial relic amid partial metric transitions elsewhere in infrastructure.[80] In Commonwealth nations, the chain's adoption mirrored British colonial surveying standards, particularly in land allocation during empire expansion, but post-independence metric reforms—such as Australia's 1970s shift and Canada's similar transition—have largely supplanted it, confining remnants to historical records or niche engineering references.[18] Empirical advantages of the chain's decimal-link structure for fieldwork gave way to modern electronic total stations and GPS, which favor metric precision, though legacy imperial plats in former colonies occasionally require chain conversions for verification.[81]North America
In the United States, the chain unit became foundational to the Public Land Survey System (PLSS), enacted via the Land Ordinance of 1785 to systematically divide federal lands into townships of 6 miles by 6 miles, subdivided into 36 sections of 1 square mile each, with measurements conducted in chains of 66 feet.[58] Surveyors utilized Gunter's chain, a 66-foot device of 100 linked iron segments each 7.92 inches long, to establish baselines and meridians, enabling precise rectangular grid layouts that persist in rural land titles across the Midwest and West.[1] This approach replaced irregular colonial metes-and-bounds systems, promoting equitable land distribution for settlement and agriculture.[62] Contemporary U.S. surveying largely employs feet, meters, and GPS-derived coordinates, yet the chain endures in legal contexts for retracing PLSS boundaries, where property deeds and corner monuments often specify distances in chains and links to resolve disputes or subdivisions.[82] For instance, a quarter-section boundary might reference 20 chains from a section corner, necessitating chain-based verification against original field notes archived by the Bureau of Land Management.[62] State statutes in PLSS-influenced regions, such as those governing aliquot part descriptions (e.g., NE¼ of a section), implicitly rely on chain-derived aliquot divisions.[58] In Canada, Gunter's chain entered use during early French colonial surveys in New France around 1620, measuring seigneuries and concessions in 66-foot increments for fur trade and settlement allocations.[83] Provincial systems, like Ontario's and Alberta's historical cadastral grids, incorporated chains for township layouts mirroring U.S. patterns, with 80 chains equaling 1 mile.[28] Post-Confederation metrication in the 1970s shifted primary practice to meters, but legacy surveys in western provinces retain chain references, requiring modern licensed surveyors to convert or replicate them for title transfers and boundary re-establishments.[28][83] This dual-system interface occasionally prompts errors in urban expansions interfacing old rural plats, underscoring the chain's embedded role in enduring land records.Australia, New Zealand, and Other Regions
In Australia and New Zealand, the chain unit was introduced through British colonial surveying practices in the early 19th century, facilitating the division of land into allotments for settlement and agriculture. Surveyors such as Robert Hoddle employed Gunter's chains during the initial mapping of Port Phillip in 1837, while similar tools were used by Frederic Carrington to lay out New Plymouth in the 1840s. These 66-foot chains, divided into 100 links, enabled precise delineation of boundaries, with one chain equating to approximately 20.1168 meters, and ten square chains defining one acre.[84][85][86] Legacy references to chains persist in cadastral records and property boundaries, particularly when re-establishing historical lines from pre-metrication surveys. In Australia, older plans often specify dimensions in chains, such as quarter-acre residential lots measuring one chain by 2.5 chains, and rural roads designated as "one chain" wide, corresponding to 20.12 meters. New Zealand's early surveys similarly incorporated chains for road widths and acreage, with preserved chains used by local councils like Springs to mark boundaries, where one chain roads and ten-chain-square acres remain interpretable in modern disputes.[87][88][89] Following metrication in the 1970s, both countries transitioned to SI units for new surveys, rendering physical chains obsolete in favor of electronic distance measurement. However, government conversion tables and standards still reference chains for verifying historical data, as seen in Queensland's imperial-to-metric equivalencies and Tasmania's cadastral guidelines. In other Commonwealth regions like South Africa, chains appear on legacy "Natal" diagrams for length and area calculations, underscoring a shared colonial inheritance amid metric dominance.[86][90][91]Persistence Amid Metric Transition
In countries that underwent metrication, such as Canada, Australia, and the United Kingdom, the chain unit endures primarily through the legal and cadastral frameworks established by pre-metric surveys, where property boundaries and land divisions are defined in chains to maintain continuity and avoid costly resurveys.[92] For instance, Canada's Dominion Land Survey system, which subdivided much of the prairie provinces into one-square-mile sections, relies on a foundational grid of 80 chains by 80 chains per section—a measurement unchanged since the system's inception in the late 19th century and still invoked in contemporary land titles and geospatial references despite the country's metric conversion initiatives beginning in 1970. This persistence ensures that historical aliquot part divisions (e.g., quarter-sections at 40 chains by 40 chains) remain unambiguous in legal documentation, even as new measurements default to meters.[28] In Australia, where metrication commenced in 1970 under the Metric Conversion Act, older "Old System" property titles—particularly those predating the 1960s—frequently specify boundaries in chains and links (with one chain equaling 100 links or 20.1168 meters), requiring surveyors to convert these imperial units for modern transactions while preserving the original deed language to uphold chain-of-title integrity.[93] Survey plans from the colonial and early federation eras, archived in state land registries like those in Victoria and Western Australia, routinely employ chains for linear distances and acres (10 square chains) for areas, compelling ongoing use of Gunter's chain equivalents in boundary disputes and subdivisions to reconcile legacy data with metric overlays.[94] This dual-system approach, while inefficient, reflects a pragmatic deference to entrenched cadastral records over full metric retrofitting, as evidenced by persistent references in Titles Queensland and Landgate documentation.[95] The United Kingdom's partial metrication since the 1965 Weights and Measures Act has similarly not eradicated chain references in historical contexts, such as enclosure awards and tithe maps from the 18th and 19th centuries, which underpin rural land holdings and are cross-referenced in HM Land Registry entries for precision in conveyancing.[92] Although contemporary Ordnance Survey mapping employs meters, surveyors must interpret chain-based perambulations from parliamentary enclosures (e.g., field lengths in chains and links) when verifying boundaries, underscoring the unit's role as a fixed historical benchmark amid incomplete systemic overhaul—road signage and certain agricultural practices remain imperial, further entrenching familiarity with chain-derived furlongs (10 chains).[82] Empirical rationale for this retention lies in the avoidance of litigation risks from redefinition; altering foundational measurements could invalidate centuries of accrued property rights, as noted in professional surveying discourse prioritizing evidentiary stability over uniformity.[92]Advantages, Limitations, and Empirical Rationale
Empirical and Practical Merits
The chain unit, standardized at 66 feet in Gunter's design of 1620, derived its length from empirical alignment with agricultural practices, where a furlong represented the distance a team of oxen could plow in one go, approximately 660 feet, and an acre the area tillable in a day.[96] This configuration ensured that a rectangle one chain wide by one furlong long precisely equaled one acre, enabling surveyors to compute areas via simple integer multiplications of chain measurements without decimal conversions or complex fractions.[63] Such arithmetic simplicity reduced errors in cadastral mapping, where accuracy directly impacted land valuation and legal boundaries.[97] In practical application, the physical chain—composed of 100 linked segments, each 7.92 inches—facilitated reliable linear measurements across uneven terrain by two operators stretching it taut between end handles, yielding higher precision than variable human pacing or less rigid rods for distances up to a mile.[18] Its durability and portability supported extensive fieldwork, as evidenced by its adoption in British enclosures from the 18th century onward, where it standardized area assessments for parliamentary acts dividing common lands.[98] The unit's subdivision into links allowed fractional distances to be recorded as counts, enhancing granularity in boundary delineation without supplementary tools.[99] Empirically, the chain's integration into systems like the U.S. Public Land Survey of 1785 demonstrated its merit in scaling measurements: 80 chains formed a statute mile, and sections of 640 acres aligned seamlessly with chain-based grids, promoting consistent township layouts over vast territories and minimizing disputes in property transfers.[63] This causal linkage between unit choice and efficient land administration underscored its superiority for pre-modern instrumentation, where computational aids were absent and field verification relied on repeatable, low-error protocols.[27]Criticisms and Challenges in Modern Contexts
In contemporary surveying practices, where electronic distance measurement (EDM) devices, total stations, and GPS systems routinely achieve sub-centimeter accuracy, the chain's mechanical nature introduces persistent sources of systematic and random errors that undermine its reliability for high-precision applications. For instance, steel band chains—modern successors to Gunter's original iron links—are susceptible to elongation from repeated use, temperature-induced expansion (approximately 0.00000645 per degree Celsius for steel), and sagging under their own weight when spanning longer distances, potentially introducing errors of 1:1,000 or greater in unchained traverses.[44][27] These inaccuracies accumulate over multiple measurements, exacerbating discrepancies in cadastral records derived from historical chain surveys, which often relied on tools prone to 1-link (7.92 inches) errors every 3–5 chains due to stretching.[27] Labor-intensive chaining demands skilled teams to maintain tension, alignment, and obstacle avoidance, rendering it inefficient for large-scale or urban projects compared to automated alternatives that reduce fieldwork time by orders of magnitude. Environmental factors, such as uneven terrain or vegetation, further compound challenges, as chains cannot easily bypass obstacles without introducing compensatory errors from indirect sightings or offsets, limiting their utility in complex modern landscapes like subdivided developments or infrastructure corridors.[100][44] In regions retaining chain-based land records, such as parts of the United States and Commonwealth nations, reconciling these with metric or digital systems has led to protracted legal disputes over boundaries, with conversion errors amplifying historical inaccuracies—e.g., a stretched chain yielding overstated acreages that persist in deeds today.[101] Critics argue that continued reliance on chains in low-resource settings, while empirically viable for rudimentary tasks, perpetuates inefficiency and safety risks, including physical strain on surveyors from handling heavy equipment (up to 10–15 pounds for a 100-foot band) and exposure to fieldwork hazards without the real-time data validation of contemporary tools. Peer-reviewed engineering analyses emphasize that while chains offer simplicity without power dependency, their precision ceiling—typically 1:5,000 under ideal conditions—falls short of modern standards requiring 1:10,000 or better for engineering and legal purposes, prompting calls for phased obsolescence in favor of verifiable, traceable technologies.[102][44]Cultural and Symbolic References
Literature and Historical Accounts
Edmund Gunter introduced the chain as a standardized surveying tool in 1620, detailing its construction of 100 iron links measuring 66 feet in total, designed to facilitate accurate land measurement compatible with existing English units like the acre.[92] This innovation appeared in early 17th-century English texts on geometry and trigonometry, where Gunter advocated its use alongside his scale and quadrant for fieldwork, enabling surveyors to compute areas efficiently since ten square chains equate to one acre.[27] In 18th-century surveying manuals, such as those in the "Compleat Surveyor" series, the Gunter's chain was endorsed as essential for reconciling traditional perch-based measures with decimal computations, often paired with plain tables for plotting boundaries.[103] American colonial surveyors, including George Washington in his early career, relied on such chains for proprietary land divisions, as evidenced by period instruments and field notes preserving chain-based perambulations.[104] 19th-century literature on practical surveying, exemplified by William M. Gillespie's "A Manual of Surveying" (first edition 1846), described chaining procedures in detail, including corrections for sag and temperature to maintain precision in public land surveys under the U.S. rectangular system initiated in 1785.[105] [106] Accounts from Bureau of Land Management histories recount how surveyors like Thomas Hutchins employed 66-foot chains to delineate townships and sections across the Northwest Territory, embedding the unit in federal land records despite emerging metric alternatives.[106] Later historical analyses, such as Andro Linklater's "Measuring America" (2002), attribute the chain's enduring legacy to its role in shaping U.S. property grids, underscoring its empirical utility in colonial expansion.[107]Popular Culture and Idiomatic Usage
In American football, the "chain gang" refers to the crew of officials' assistants who deploy a measurement device consisting of two poles linked by a chain exactly 10 yards long to verify first-down yardage. This practice traces to early 20th-century rulebooks, such as the 1906 Intercollegiate Football Association guidelines specifying poles connected by a "stout cord or chain" for five-yard increments, later standardized to 10 yards by 1912.[108][109] The nomenclature evokes historical surveying chains, though the sports variant prioritizes brevity over the traditional 66-foot length, symbolizing precise, impartial adjudication in high-stakes contests.[108] Despite advancements like automated line-to-gain systems tested in NFL preseason games as of 2024, physical chains remain in use for their visual clarity and tradition, with officials favoring them over fully digital alternatives to maintain game integrity and stadium visibility.[74][110] In cricket, the pitch measures precisely 22 yards from wicket to wicket, equivalent to one chain, a standard enshrined in the Marylebone Cricket Club's Laws since their 1744 codification and retained in modern regulations under Law 6.1.[71] This alignment embeds the unit into the sport's foundational layout, influencing gameplay dynamics like bowler run-ups and batsman positioning across professional and amateur levels.[111]References
- The Surveyor's chain is a measuring device used for land survey. One chain is 66 feet in length and contains 100 links. One link, then, is 1/100 of a chain.
- [surveying, measurement] A unit of length equal to 66 feet, used specifically in U.S. public land surveys. Ten square chains equal 1 acre.