Arch

An arch is a vertical curved structure that spans an elevated space and may or may not support the weight above it,[1] or in case of a horizontal arch like an arch dam, the hydrostatic pressure against it.

A masonry arch
  1. Keystone
  2. Voussoir
  3. Extrados
  4. Impost
  5. Intrados
  6. Rise
  7. Clear span
  8. Abutment

Arches may be synonymous with vaults, but a vault may be distinguished as a continuous arch[2] forming a roof. Arches appeared as early as the 2nd millennium BC in Mesopotamian brick architecture,[3] and their systematic use started with the ancient Romans, who were the first to apply the technique to a wide range of structures.

Basic conceptsEdit

Deformed arch at the Gozo Aqueduct, Malta

An arch is a pure compression form.[4][5][6][7] It can span a large area by resolving forces into compressive stresses, and thereby eliminating tensile stresses. This is sometimes denominated "arch action".[8] As the forces in the arch are transferred to its base, the arch pushes outward at its base, denominated "thrust". As the rise, i. e. height, of the arch decreases the outward thrust increases.[9] In order to preserve arch action and prevent collapse of the arch, the thrust must be restrained, either by internal ties or external bracing, such as abutments.[10]

Fixed versus hinged archesEdit

Rossgraben bridge (Rüeggisberg) near Bern, Switzerland, showing the hinge at mid-span of this three-hinged arch.

The most common kinds of true arch are the fixed arch, the two-hinged arch, and the three-hinged arch.[11]

The fixed arch is most often used in reinforced concrete bridges and tunnels, which have short spans. Because it is subject to additional internal stress from thermal expansion and contraction, this kind of arch is considered statically indeterminate.[10]

The two-hinged arch is most often used to bridge long spans.[10] This kind of arch has pinned connections at its base. Unlike that of the fixed arch, the pinned base can rotate,[12] thus allowing the structure to move freely and compensate for the thermal expansion and contraction that changes in outdoor temperature cause. However, this can result in additional stresses, and therefore the two-hinged arch is also statically indeterminate, although not as much as the fixed arch.[10]

The three-hinged arch is not only hinged at its base, like the two-hinged arch, yet also at its apex. The additional apical connection allows the three-hinged arch to move in two opposite directions and compensate for any expansion and contraction. This kind of arch is thus not subject to additional stress from thermal change. Unlike the other two kinds of arch, the three-hinged arch is therefore statically determinate.[11] It is most often used for spans of medial length, such as those of roofs of large buildings. Another advantage of the three-hinged arch is that the pinned bases are more easily developed than fixed ones, which allows shallow, bearing-type foundations in spans of medial length. In the three-hinged arch "thermal expansion and contraction of the arch will cause vertical movements at the peak pin joint but will have no appreciable effect on the bases," which further simplifies foundational design.[10]

FormsEdit

Cathedral of St. Michael and St. Gudula in BrusselsBelgium, with a central pointed arch window, typical of Gothic architecture
Semi-circular arches using brick and/or stone block construction at the Great Wall, China
Roman aqueduct near Nîmes, France: an arcade, employing the circular arch
Horseshoe arches in the 9th-century Mosque of Uqba, in Kairouan, Tunisia

The many forms of arch are classified into three categories: circular, pointed, and parabolic. Arches can also be configured to produce vaults and arcades.[10]

Rounded, i. e. semicircular, arches were commonly used for ancient arches that were constructed of heavy masonry.[13] Ancient Roman builders relied heavily on the rounded arch to span great lengths. Several rounded arches that are constructed in-line and end-to-end in a series form an arcade, e.g. in Roman aqueducts.[14]

Pointed arches were most often used in Gothic architecture.[15] The advantage of a pointed arch, rather than a circular one, is that the arch action produces less horizontal thrust at the base. This innovation allowed for taller and more closely spaced openings, which are typical of Gothic architecture.[16][17]

Interior vaulted ceiling of Notre Dame de Paris, showing the ribs at the intersection of several arches

Vaults are essentially "adjacent arches [that] are assembled side by side." If vaults intersect, their intersections produce complex forms. The forms, along with the "strongly expressed ribs at the vault intersections, were dominant architectural features of Gothic cathedrals."[13]

The parabolic arch employs the principle that when weight is uniformly applied to an arch, the internal compression resulting from that weight will follow a parabolic profile. Of all forms of arch, the parabolic arch produces the most thrust at the base yet can span the greatest distances. It is commonly used in bridges, where long spans are needed.[13]

Tyne Bridge in Newcastle upon TyneEngland: a parabolic arch

The catenary arch has a different shape from the parabolic arch. Being the shape of the curve that a loose span of chain or rope traces, the catenary is the structurally ideal shape for a freestanding arch of constant thickness.

Forms of arch displayed chronologically, roughly in chronological order of development:

Round or semicircular arch


Segmental arch (less than a semicircle)


Unequal round or rampant arch


Lancet arch


Equilateral arch


Shouldered flat arch (see also jack arch)


Trefoil or three-foiled cusped arch


Horseshoe arch


Three-centered arch


Elliptical arch


Inflexed arch


Ogee arch


Reverse ogee arch


Four-centred or Tudor arch


Parabolic arch

HistoryEdit

Bronze Age: ancient Near EastEdit

True arches, as opposed to corbel arches, were known by a number of civilizations in the ancient Near East including the Levant, but their use was infrequent and mostly confined to underground structures, such as drains where the problem of lateral thrust is greatly diminished.[18] An example of the latter would be the Nippur arch, built before 3800 BC,[19] and dated by H. V. Hilprecht (1859–1925) to even before 4000 BC.[20] Rare exceptions are an arched mudbrick home doorway dated to circa 2000 BC from Tell Taya in Iraq[21] and two Bronze Age arched Canaanite city gates, one at Ashkelon (dated to c. 1850 BC),[22] and one at Tel Dan (dated to c. 1750 BC), both in modern-day Israel.[23][24] An Elamite tomb dated 1500 BC from Haft Teppe contains a parabolic vault which is considered as one of the earliest evidences of arches in Iran.

Classical Persia and GreeceEdit

In ancient Persia, the Achaemenid Empire (550 BC–330 BC) built small barrel vaults (essentially a series of arches built together to form a hall) known as iwan, which became massive, monumental structures during the later Parthian Empire (247 BC–AD 224).[25][26][27] This architectural tradition was continued by the Sasanian Empire (224–651), which built the Taq Kasra at Ctesiphon in the 6th century AD, the largest free-standing vault until modern times.[28]

An early European example of a voussoir arch appears in the 4th century BC Greek Rhodes Footbridge.[29]

Ancient RomeEdit

The ancient Romans learned the arch from the Etruscans, refined it and were the first builders in Europe to tap its full potential for above ground buildings:

The Romans were the first builders in Europe, perhaps the first in the world, to fully appreciate the advantages of the arch, the vault and the dome.[30]

Throughout the Roman empire, their engineers erected arch structures such as bridgesaqueducts, and gates. They also introduced the triumphal arch as a military monument. Vaults began to be used for roofing large interior spaces such as halls and temples, a function that was also assumed by domed structures from the 1st century BC onwards.

Arch of Caracalla at Theveste

The segmental arch was first built by the Romans who realized that an arch in a bridge did not have to be a semicircle,[31][32] such as in Alconétar Bridge or Ponte San Lorenzo. They were also routinely used in house construction, as in Ostia Antica (see picture).

Ancient ChinaEdit

In ancient Chinamost architecture was wooden, including the few known arch bridges from literature and one artistic depiction in stone-carved relief.[33][34][35] Therefore, the only surviving examples of architecture from the Han Dynasty (202 BC – 220 AD) are rammed earth defensive walls and towers, ceramic roof tiles from no longer existent wooden buildings,[36][37][38] stone gate towers,[39][40] and underground brick tombs that, although featuring vaults, domes, and archways, were built with the support of the earth and were not free-standing.[41][42]

Roman and Chinese bridges in comparisonEdit

China's oldest surviving stone arch bridge is the Anji Bridge, built between 595 AD and 605 AD during the Sui Dynasty; it is the oldest open-spandrel segmental arch bridge in stone.[43][44]

However, the ancient Romans had virtually all of these components beforehand; for example, Trajan's Bridge that was built between 103 AD and 105 AD, had open spandrels built in wood on stone pillars.[45]

Gothic EuropeEdit

The first example of an early Gothic arch in Europe is in Sicily in the Greek fortifications of Gela. The semicircular arch was followed in Europe by the pointed Gothic arch or ogive, whose centreline more closely follows the forces of compression and which is therefore stronger. The semicircular arch can be flattened to make an elliptical arch, as in the Ponte Santa Trinita. Parabolic arches were introduced in construction by the Spanish architect Antoni Gaudí, who admired the structural system of the Gothic style, but for the buttresses, which he termed "architectural crutches". The first examples of the pointed arch in the European architecture are in Sicily and date back to the Arab-Norman period.

Horseshoe arch: Aksum and SyriaEdit

The horseshoe arch is based on the semicircular arch, but its lower ends are extended further round the circle until they start to converge. The first known built horseshoe arches are from the Kingdom of Aksum in modern-day Ethiopia and Eritrea, dating from ca. 3rd–4th century. This is around the same time as the earliest contemporary examples in Roman Syria, suggesting either an Aksumite or Syrian origin for the type.[46]

IndiaEdit

Vaulted roof of an early Harappan burial chamber has been noted from Rakhigarhi.[47] S.R Rao reports vaulted roof of a small chamber in a house from Lothal.[48] Barrel vaults were also used in the Late Harappan Cemetery H culture dated 1900 BC-1300 BC which formed the roof of the metal working furnace, the discovery was made by Vats in 1940 during excavation at Harappa.[49][50][51]

C34B9768 Lady in the Arch

In India, Bhitargaon temple (450 AD) and Mahabodhi temple (7th century AD) built in by Gupta Dynasty are the earliest surviving examples of the use of voussoir arch vault system in India.[52] The earlier uses semicircular arch, while the later contains examples of both gothic style pointed arch and semicircular arches. Although introduced in the 5th century, arches didn't gain prominence in the Indian architecture until 12th century after Islamic conquest. The Gupta era arch vault system was later used extensively in Burmese Buddhist temples in Pyu and Bagan in 11th and 12th centuries.[53]

Corbel arch: pre-Columbian MexicoEdit

This article does not deal with a different architectural element, the corbel arch. However, it is worthwhile mentioning that corbel arches were found in other parts of ancient Asia, Africa, Europe, and the Americas. In 2010, a robot discovered a long arch-roofed passageway underneath the Pyramid of Quetzalcoatl, which stands in the ancient city of Teotihuacan north of Mexico City, dated to around 200 AD.[54]

ConstructionEdit

A series of parabolic arches on the Móra d'Ebre bridge, Catalonia

Since it is a pure compression form, the arch is useful because many building materials, including stone and unreinforced concrete, can resist compression, but are weak when tensile stress is applied to them (ref: similar to the AL-Karparo [8:04]).[55]

An arch is held in place by the weight of all of its members, making construction problematic. One answer is to build a frame (historically, of wood) which exactly follows the form of the underside of the arch. This is known as a centre or centringVoussoirs are laid on it until the arch is complete and self-supporting. For an arch higher than head height, scaffolding would be required, so it could be combined with the arch support. Arches may fall when the frame is removed if design or construction has been faulty. The first attempt at the A85 bridge at Dalmally, Scotland suffered this fate, in the 1940s.[citation needed] The interior and lower line or curve of an arch is known as the intrados.

Old arches sometimes need reinforcement due to decay of the keystones, forming what is known as bald arch.

In reinforced concrete construction, the principle of the arch is used so as to benefit from the concrete's strength in resisting compressive stress. Where any other form of stress is raised, such as tensile or torsional stress, it has to be resisted by carefully placed reinforcement rods or fibres.[56]

Other typesEdit

depressed arch is one that appears "squashed" down at the top from the full arched shape. In pointed-arch styles, where there is a central point at the top of the arch, it may be a four-centred arch or Tudor arch.

blind arch is an arch infilled with solid construction so it cannot function as a window, door, or passageway. These are common as decorative treatments of a wall surface in many architectural styles, especially Romanesque architecture.

A special form of the arch is the triumphal arch, usually built to celebrate a victory in war. A famous example is the Arc de Triomphe in Paris, France.

Rock formations may form natural arches through erosion, rather than being carved or constructed.[57] Structures such as this can be found in Arches National Park. Some rock balance sculptures are in the form of an arch.

The arches of the foot support the weight of the human body.

Blind arches on the Church of San Tirso in SahagúnLeón, Spain


Washington Square Arch, a triumphal arch in Greenwich VillageManhattanNew York City


Delicate Arch, a natural arch in Arches National Park near Moab, Utah


rock balance sculpture in the form of an arch


GalleryEdit

Taq Kasra (Archway of Ctesiphon), Salman Pak, Iraq (1864)


Arch of AugustusRiminiEmilia-Romagna, Italy (2015)


Arch of GallienusRome (2006)


Arch of HadrianAthens, Greece (2013)


Arch of ConstantineRome, commemorating a victory by Constantine I in 312 AD (2007)


The Arc de TriompheParis; a 19th-century triumphal arch modelled on the classical Roman design (1998)


Soldiers' and Sailors' Arch in the Grand Army PlazaBrooklynNew York City (2007)



Gateway Arch in St. Louis, Missouri; a sculpture based on a catenary arch (2011)


Pont Flavien over the River Touloubre in Saint-ChamasBouches-du-Rhône, France (2008)


Bridge of Seonamsa TempleSuncheonSouth Jeolla Province, South Korea (1979)


Grosvenor Bridge over the River Dee in ChesterCheshireEngland, UK (2007)


Union Arch Bridge carrying the Washington Aqueduct and MacArthur Boulevard (formerly named Conduit Road) in Cabin JohnMontgomery CountyMaryland (2008)


Anji Bridge over the Xiaohe River, Hebei Province, China (2007)


The dry stone bridge, so called Porta Rosa (4th century BC), in EleaProvince of SalernoCampania, Italy (2005)


Bridge of SighsVenice, Italy (2001)


Pont du Gard, a Roman aqueduct in Vers-Pont-du-GardGard, France (2014)


Bridge in Český Krumlov, Czech Republic (2004)


Rialto Bridge over the Grand Canal in Venice, Italy (2011)


Pont de Bercy over the River SeineParis, carrying the Paris Métro on its upper deck and a boulevard extension on its lower deck (2006)


Arlington Memorial Bridge over the Potomac River in Washington, D.C. (2007)


Francis Scott Key Bridge over the Potomac River in Washington, D.C. (2006)


Woodrow Wilson Memorial Bridge carrying Interstate 95 (I-95) and the Capital Beltway over the Potomac River between Alexandria, Virginia and Oxon Hill, Maryland (2007)


Arrábida Bridge over the Douro River connecting Porto, and Vila Nova de Gaia, in the Norte Region, Portugal (2011)


Rainbow Bridge over the Niagara River connecting Niagara FallsNew York and Niagara FallsOntario, Canada (2012)


Tyne Bridge over the River TyneNewcastle upon TyneEngland, UK (2004)


Hell Gate Bridge over the East RiverNew York City


Sydney Harbour BridgeSydneyNew South Wales, Australia (2010)


Margaret Hunt Hill Bridge over the Trinity River in DallasTexas (2012)


Juscelino Kubitschek Bridge crossing Paranoá LakeBrasília, Brazil (2007)


Eiffel TowerParis (2009)


Arch supporting the Eiffel TowerParis (2015)


The second Wembley Stadium in London, built in 2007 (2007)


The first San Mamés Stadium, in Bilbao, arch built in 1953, demolished 2013 (2013)


Haus

The Colosseum in Rome (2013)


Stonework arches seen in a ruined stonework building – Burg Lippspringe, Germany (2005)


Arches in the Casa-Museo del Libertador Simón Bolívar in Havana, Cuba (2006)[58]


Arches in dining hall at Kings College, University of CambridgeCambridgeEngland (2007)


Arches inside Annenberg Hall, Memorial HallHarvard UniversityCambridge, Massachusetts (2016)


Healy HallGeorgetown UniversityWashington, D.C. (2009)


Arches in throne room of Neuschwanstein CastleBavaria, Germany (1886 photochrom print)


 

  • Arches in the Court of the LionsAlhambraGranadaAndalusia, Spain (2012)


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  • External arches in the Court of the MyrtlesAlhambraGranadaAndalusia, Spain (2009)


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  • Arches inside the North Gallery, Court of the MyrtlesAlhambraGranadaAndalusia, Spain (2010)


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  • Arches in the nave of the church in monastery of Alcobaça, Portugal (2008)


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  • North facade of Chartres CathedralChartres, France (2008)


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  • Arches in choir of Chartres CathedralChartres, France (2013)


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  • Arches in nave of Westminster AbbeyCity of WestminsterLondon (2006)


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  • Arches inside the Washington National CathedralWashington, D.C. (2005)


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  • Interior arches in St. Peter's BasilicaVatican City (2009)


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  • Hagia Sophia in Istanbul, Turkey (2013)


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  • Arches inside the Hagia Sophia in Istanbul, Turkey (1983)


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  • Arches inside the western upper gallery, Hagia SophiaIstanbul, Turkey (2007)


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  • Interior arches in Masjid al-HaramMecca, Saudi Arabia (2008)


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  • Roof of Masjid al-HaramMecca, Saudi Arabia (2008)


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  • Dome of the RockOld City of Jerusalem (2010)

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