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Cable-stayed bridge
View on WikipediaThis article includes a list of general references, but it lacks sufficient corresponding inline citations. (July 2020) |
The Russky Bridge in Vladivostok has a central span of 1,104 metres (3,622 ft), the world's second longest cable-stayed bridge span as of 2025. | |
| Ancestor | Suspension bridge |
|---|---|
| Related | Extradosed bridge |
| Descendant | Side-spar cable-stayed bridge, Self-anchored suspension bridge, cantilever spar cable-stayed bridge |
| Carries | Pedestrians, bicycles, automobiles, trucks, light rail |
| Span range | Medium to Long |
| Material | Steel rope, post-tensioned concrete box girders, steel or concrete pylons |
| Movable | No[citation needed] |
| Design effort | medium |
| Falsework required | Normally none |

A cable-stayed bridge is a type of bridge that has one or more towers (or pylons), from which cables support the bridge deck. A distinctive feature are the cables or stays, which run directly from the tower to the deck, normally forming a fan-like pattern or a series of parallel lines. This is in contrast to the modern suspension bridge, where the cables supporting the deck are suspended vertically from the main cables, which run between the towers and are anchored at both ends of the bridge. The cable-stayed bridge is optimal for spans longer than cantilever bridges and shorter than suspension bridges. This is the range within which cantilever bridges would rapidly grow heavier, and suspension bridge cabling would be more costly.
Cable-stayed bridges found wide use in the late 19th century. Early examples, including the Brooklyn Bridge, often combined features from both the cable-stayed and suspension designs. Cable-stayed designs fell from favor in the early 20th century as larger gaps were bridged using pure suspension designs, and shorter ones using various systems built of reinforced concrete. It returned to prominence in the later 20th century when the combination of new materials, larger construction machinery, and the need to replace older bridges all lowered the relative price of these designs.[1]
History
[edit]
Cable-stayed bridges date back to 1595, where designs were found in Machinae Novae, a book by Croatian-Venetian inventor Fausto Veranzio. Many early suspension bridges were partially cable-stayed in construction, including the 1817 footbridge Dryburgh Abbey Bridge, James Dredge's patented Victoria Bridge, Bath (1836), and the later Albert Bridge (1872) and Brooklyn Bridge (1883). Their designers found that the combination of technologies created a stiffer bridge. John A. Roebling took particular advantage of this to limit deformations due to railway loads in the Niagara Falls Suspension Bridge.
The earliest known surviving example of a true cable-stayed bridge in the United States is E.E. Runyon's largely intact wrought iron Bluff Dale Suspension bridge with wooden stringers and decking in Bluff Dale, Texas (1890), or his weeks earlier but ruined Barton Creek Bridge between Huckabay, Texas and Gordon, Texas (1889 or 1890).[2][3] In the twentieth century, early examples of cable-stayed bridges included A. Gisclard's unusual Cassagnes bridge (1899),[4] in which the horizontal part of the cable forces is balanced by a separate horizontal tie cable, preventing significant compression in the deck, and G. Leinekugel le Coq's bridge[5] at Lézardrieux in Brittany (1924). Eduardo Torroja designed a cable-stayed aqueduct[6] at Tempul in 1926.[7] Albert Caquot's 1952 concrete-decked cable-stayed bridge[8] over the Donzère-Mondragon canal at Pierrelatte is one of the first of the modern type, but had little influence on later development.[7] The steel-decked Strömsund Bridge designed by Franz Dischinger (1955) is, therefore, more often cited as the first modern cable-stayed bridge.

Other key pioneers included Fabrizio de Miranda, Riccardo Morandi, and Fritz Leonhardt. Early bridges from this period used very few stay cables, as in the Theodor Heuss Bridge (1958). However, this involves substantial erection costs, and more modern structures tend to use many more cables to ensure greater economy.
Comparison with suspension bridge
[edit]
Cable-stayed bridges may appear to be similar to suspension bridges, but they are quite different in principle and construction. In suspension bridges, large main cables (normally two) hang between the towers and are anchored at each end to the ground. This can be difficult to implement when ground conditions are poor. The main cables, which are free to move on bearings in the towers, bear the load of the bridge deck. Before the deck is installed, the cables are under tension from their own weight. Along the main cables smaller cables or rods connect to the bridge deck, which is lifted in sections. As this is done, the tension in the cables increases, as it does with the live load of traffic crossing the bridge. The tension on the main cables is transferred to the ground at the anchorages and by downwards compression on the towers.
- Difference between types of bridges
-
Suspension bridge
-
Cable-stayed bridge, fan design
In cable-stayed bridges, the towers are the primary load-bearing structures that transmit the bridge loads to the ground. A cantilever approach is often used to support the bridge deck near the towers, but lengths further from them are supported by cables running directly to the towers. That has the disadvantage, unlike for the suspension bridge, that the cables pull to the sides as opposed to directly up, which requires the bridge deck to be stronger to resist the resulting horizontal compression loads, but it has the advantage of not requiring firm anchorages to resist the horizontal pull of the main cables of a suspension bridge. By design, all static horizontal forces of the cable-stayed bridge are balanced so that the supporting towers do not tend to tilt or slide and so must only resist horizontal forces from the live loads.
The following are key advantages of the cable-stayed form:
- Much greater stiffness than the suspension bridge, so that deformations of the deck under live loads are reduced
- Can be constructed by cantilevering out from the tower – the cables act both as temporary and permanent supports to the bridge deck
- For a symmetrical bridge (in which the spans on either side of the tower are the same), the horizontal forces balance and large ground anchorages are not required
Designs
[edit]There are four major classes of rigging on cable-stayed bridges: mono, harp, fan, and star.[9]
- The mono design uses a single cable from its towers and is one of the lesser-used examples of the class.
- In the harp or parallel design, the cables are parallel, or nearly so, so that the height of their attachment to the tower is proportional to the distance from the tower to their mounting on the deck.
- In the fan design, the cables all connect to or pass over the top of the towers. The fan design is structurally superior with a minimum moment applied to the towers, but, for practical reasons, the modified fan (also called the semi-fan) is preferred, especially where many cables are necessary. In the modified fan arrangement, the cables terminate near the top of the tower but are spaced from each other sufficiently to allow better termination, improved environmental protection, and good access to individual cables for maintenance.[10]
- In the star design, another relatively rare design, the cables are spaced apart on the tower, like the harp design, but connect to one point or a number of closely spaced points on the deck.[11]
- Difference between types of bridges
-
mono design
-
harp design
-
fan design
-
star design

There are also seven main arrangements for support columns: single, double, portal, A-shaped, H-shaped, inverted Y, and M-shaped. The last three are hybrid arrangements that combine two arrangements into one.[9]
- The single arrangement uses a single column for cable support, normally projecting through the center of the deck, but in some cases located on one side or the other. Examples: Millau Viaduct in France and Sunshine Skyway Bridge in Florida.
- The double arrangement places pairs of columns on both sides of the deck. Examples: Øresund Bridge between Denmark and Sweden, and Zolotoy Bridge in Russia.
- The portal is similar to the double arrangement but has a third member connecting the tops of the two columns to form a door-like shape or portal. This offers additional strength, especially against transverse loads. Examples: Hale Boggs Bridge in Louisiana and Kirumi Bridge in Tanzania.
- The A-shaped design is similar in concept to the portal but achieves the same goal by angling the two columns towards each other to meet at the top, eliminating the need for the third member. Examples: Arthur Ravenel Jr. Bridge in South Carolina, Helgeland Bridge in Norway, and Christopher S. Bond Bridge in Missouri.
- The H-shaped design combines the portal on the bottom with the double on top. Examples: Grenland Bridge in Norway, Vasco da Gama Bridge in Portugal, Greenville Bridge in Arkansas, and John James Audubon Bridge in Louisiana.
- The inverted Y design combines the A-shaped on the bottom with the single on top. Examples: Pont de Normandie in France and Incheon Bridge in South Korea.
- The M-shaped design combines two A-shaped arrangements, side by side, to form an M. This arrangement is rare, and is mostly used in wide bridges where a single A-shaped arrangement would be too weak. Examples: Fred Hartman Bridge in Texas, and its planned sister bridge Ship Channel Bridge, also in Texas.
Depending on the design, the columns may be vertical, angled relative to vertical, or curved.
Variations
[edit]Side-spar cable-stayed bridge
[edit]A side-spar cable-stayed bridge uses a central tower supported only on one side. This design allows the construction of a curved bridge.
Cantilever spar cable-stayed bridge
[edit]Far more radical in its structure, the Puente del Alamillo (1992) uses a single cantilever spar on one side of a single span, with cables on one side only to support the bridge deck. Unlike other cable-stayed types, this bridge exerts considerable overturning force upon its foundation, and the spar must resist bending caused by the cables, as the cable forces are not balanced by opposing cables. The spar of this particular bridge forms the gnomon of a large garden sundial. Related bridges by the architect Santiago Calatrava include the Puente de la Mujer (2001), Sundial Bridge (2004), Chords Bridge (2008), and Assut de l'Or Bridge (2008).
Multiple-span cable-stayed bridge
[edit]
Cable-stayed bridges with more than three spans involve significantly more challenging designs than do two-span or three-span structures.
In a two-span or three-span cable-stayed bridge, the loads from the main spans are normally anchored near the end abutments by stays in the end spans. For more spans, this is not the case, and the bridge structure is less stiff overall. This can create difficulties in both the design of the deck and the pylons. Examples of multiple-span structures in which this is the case include Ting Kau Bridge, where additional 'cross-bracing' stays are used to stabilise the pylons; Millau Viaduct, where twin-legged towers are used; and General Rafael Urdaneta Bridge, where very stiff multi-legged frame towers were adopted. A similar situation with a suspension bridge is found at both the Great Seto Bridge and San Francisco–Oakland Bay Bridge, where additional anchorage piers are required after every set of three suspension spans – this solution can also be adapted for cable-stayed bridges.[12]
Extradosed bridge
[edit]
An extradosed bridge is a cable-stayed bridge with a more substantial bridge deck that, being stiffer and stronger, allows the cables to be omitted close to the tower and for the towers to be lower in proportion to the span. The first extradosed bridges were the Ganter Bridge and Sunniberg Bridge in Switzerland. The first extradosed bridge in the United States, the Pearl Harbor Memorial Bridge was built to carry I-95 across the Quinnipiac River in New Haven, Connecticut, opening in June 2012.
Cable-stayed cradle-system bridge
[edit]A cradle system carries the strands within the stays from the bridge deck to bridge deck, as a continuous element, eliminating anchorages in the pylons. Each epoxy-coated steel strand is carried inside the cradle in a one-inch (2.54 cm) steel tube. Each strand acts independently, allowing for removal, inspection, and replacement of individual strands. The first two such bridges are the Penobscot Narrows Bridge, completed in 2006, and the Veterans' Glass City Skyway, completed in 2007.[13]
Related bridge types
[edit]Self-anchored suspension bridge
[edit]A self-anchored suspension bridge has some similarity in principle to the cable-stayed type in that tension forces that prevent the deck from dropping are converted into compression forces vertically in the tower and horizontally along the deck structure. It is also related to the suspension bridge in having arcuate main cables with suspender cables, although the self-anchored type lacks the heavy cable anchorages of the ordinary suspension bridge. Unlike either a cable-stayed bridge or a suspension bridge, the self-anchored suspension bridge must be supported by falsework during construction and so it is more expensive to construct.
Notable cable-stayed bridges
[edit]This list has no precise inclusion criteria as described in the Manual of Style for standalone lists. (November 2021) |
- Journalist Phelippe Daou Bridge crosses the Rio Negro in Amazonas state. It was opened on 24 October 2011 and is currently the fourth longest bridge in Brazil, at 3,595 metres (11,795 ft)[14] with a cable-stayed span of 400 metres (1,300 feet).[15]
- Arthur Ravenel Jr. Bridge, crosses the Cooper River in Charleston, South Carolina. It opened in 2005 to replace the John P. Grace Memorial Bridge and the Silas N. Pearman Bridge which were nearing the end of their useful lives. At the time of its opening it was the longest cable-stayed bridge span in the Western Hemisphere.[16]
- Brooklyn Bridge, famous as a suspension bridge, also has cable stays.
- Centennial Bridge, a six-lane vehicular bridge that crosses the Panama Canal with a total length of 1.05 kilometres (3,400 ft).

- Changtai Yangtze River Bridge, connecting the cities of Changzhou and Taizhou across the Yangtze River in China, opened in 2025. It has the world's longest span, at 1,208 metres (3,963 ft) meters
- Clark Bridge, named after explorer William Clark, carries U.S. 67 between Illinois and Missouri. Opened in 1994, the 108-foot-wide bridge (33 m) replaced the old Clark Bridge, a truss bridge built in 1928 which was only 20 feet (6.1 m) wide. The bridge is sometimes referred to as the Super Bridge as its construction process was documented in the 1997 NOVA episode Super Bridge, which highlighted the challenges of building the bridge, especially during the Great Flood of 1993. Total length is 4,620 feet (1,408 m) with a longest span of 756 feet (230 m).

- Erasmus Bridge crosses the Nieuwe Maas in Rotterdam, Netherlands. The southern span of the bridge has an 89 metres (292 ft) bascule bridge for ships that cannot pass under the bridge. The bascule bridge is the largest and heaviest in West Europe and has the largest panel of its type in the world.
- Golden Horn Metro Bridge, connects the old peninsula of Istanbul with the Galata district and is the first cable-stayed bridge in Turkey.
- The Gordie Howe International Bridge currently under construction, connecting Detroit, Michigan with Windsor, Ontario, will have two inverted “Y” shaped towers built on the banks of the Detroit River, six-lanes for automotive traffic, and a cycle and walking path. It will be 2.5 kilometres (1.6 miles) long. Once completed in 2025, it will have the longest main span of any cable-stayed bridge in North America at 853 metres (2,799 feet).
- Jiaxing-Shaoxing Sea Bridge, Zhejiang Province, China. The bridge is an eight-lane structure that spans 10,100 metres (6.3 mi) across Hangzhou Bay, connecting Jiaxing and Shaoxing, two cities of Zhejiang province. It was opened on 23 July 2013 and is currently the longest cable-stayed bridge in the world.
- John James Audubon Bridge (Mississippi River): The longest cable-stayed bridge in the Western Hemisphere, crossing the Mississippi River between New Roads, Louisiana and St. Francisville, Louisiana.
- Kap Shui Mun Bridge: Road-rail cable-stayed bridge with longest span when opened
- Kosciuszko Bridge: This connects the boroughs of Brooklyn and Queens in New York City, replacing a truss bridge of the same name. The first cable-stayed span (temporarily carrying three lanes in each direction) opened to traffic in April 2017. A second, nearly identical span opened on 29 August 2019.[17]

- Margaret Hunt Hill Bridge in Dallas, Texas, U.S., which opened in 2012 and spans the Trinity River. In 2012, the bridge received an Outstanding Civil Engineering Achievement Award from the Texas section of the American Society of Civil Engineers.[18][19] The bridge also received a 2012 European Convention for Constructional Steelwork Award For Steel Bridges.[20]
- Millau Viaduct, the bridge with the tallest piers in the world: 341 metres (1,119 ft) tall and roadway 266 metres (873 ft) high, spanning the river Tarn in France. With a total length of 2,460 metres (8,070 ft) and seven towers, it also has the longest cable-stayed suspended deck in the world.
- Most SNP (Nový most), the world's longest cable-stayed bridge in category with one pylon and with one cable-stayed plane, spanning the Danube in Bratislava, Slovakia. The main span is 303 metres (994 ft), total length 430.8 metres (1,413 ft). The only member of World Federation of Great Towers that is primarily used as a bridge. It houses a flying-saucer restaurant at the top of pylon 85 metres (279 ft) tall.
- Octavio Frias de Oliveira bridge crosses the Pinheiros River in São Paulo, 2008. It has a 138 metres (453 ft)-high pylon under which two stayed roads cross each other turning 90° to the opposite bank of the river.
- Oresund Bridge, a combined two-track rail and four-lane road bridge with a main span of 490 metres (1,610 ft) and a total length of 7.85 kilometres (4.88 mi), crossing the Öresund between Malmö, Sweden, and the Danish Capital Region.

- Pelješac Bridge, Dubrovnik-Neretva County, Croatia. It is a 2,404 metres (7,887 ft) long and 98 metres (322 ft) tall road bridge that connects the southeastern semi-exclave to the rest of the country, spanning the sea channel between Komarna and Pelješac.
- Penobscot Narrows Bridge and Observatory, a road bridge with an observatory at the top of one of the towers, and a span of 2,120 feet (646 m).
- Ponte Morandi, part of which collapsed during a rainstorm on 14 August 2018
- Pont de Normandie, crosses the Seine in Normandy, France (1988–1995) – briefly the world's longest cable-stayed bridge.
- Queensferry Crossing (formerly the Forth Replacement Crossing) is a road bridge in Scotland. It is built alongside the existing, suspension, Forth Road Bridge across the Firth of Forth and upon completion in 2017 became the longest triple-tower cable-stayed bridge in the world at 2700m.[21]
- Pont de Brotonne, first modern cable-stayed bridge of that type, opened to traffic in 1977.[citation needed]
- Rande Bridge in Spain near Vigo is the highway cable-stayed bridge with the longest and slenderest span in the world at the time of construction (1973–1977). Three long spans of 148 metres (486 ft) + 400 metres (1,300 ft) + 148 metres (486 ft). Pylons in concrete, girder in steel.
- Rio-Antirio bridge crosses the Gulf of Corinth near Patras, Greece. At a total length of 2,880 metres (9,450 ft) and four towers, it has the second longest cable-stayed suspended deck (2,258 metres (7,408 ft) long) in the world, with only the deck of the Millau Viaduct in southern France being longer at 2,460 metres (8,070 ft). However, as the latter is also supported by bearings at the pylons apart from cable stays, the Rio–Antirrio bridge deck might be considered the longest cable-stayed fully suspended deck in the world.

- Russky Bridge, the cable-stayed bridge with the world's second longest span, at 1,104 metres (3,622 ft) meters. Vladivostok, Russia.

- Second Severn Crossing between England and Wales is 3.186 miles (5.127 km) long, consisting of a single central navigation span over the "Shoots" channel and approach viaducts on either side.[22]
- Sunshine Skyway Bridge, in the US State of Florida located near Tampa opened in 1987. The bridge replaced the original cantilever bridges which were the site of a maritime incident.
- Surgut Bridge, the longest single-pylon cable-stayed bridge in the world, crossing the Ob River in Siberia, Russia.
- Sutong Yangtze River Bridge in eastern China has the second longest cable-stayed bridge span at 1,088 metres (3,570 ft). Completed in 2008, the Sutong Bridge is one of over 40 cable-stayed bridges built over the Yangtze since 1995.
- The Tappan Zee Bridge, the replacement for the original bridge, is a twin-deck cable-stayed bridge opened in 2017 and 2018, and is both the southernmost Hudson River-crossing bridge entirely within New York State, and the first cable-stayed bridge in North America to match Boston's Zakim Bridge (see below) overall road-deck width figure of 183 feet (56 meters), spanning eight lanes.
- Tilikum Crossing in Portland, Oregon, is the first major bridge in the U.S. that was designed to allow access to transit vehicles, cyclists and pedestrians but not cars. Completed in 2015, the bridge is 1,720 feet (520 m) and spans across the Willamette River to connect the South Waterfront and Central Eastside districts.
- Ting Kau Bridge, the world's first major four-span (three towers) cable-stayed bridge, forming part of the road network connecting Hong Kong International Airport to other parts of Hong Kong.
- Varina-Enon Bridge, Carries I-295 across the James River between Henrico and Chesterfield Counties in Virginia. Varina-Enon Bridge features the world's first use of precast concrete delta frames for construction of its 630 feet (190 m) cable-stayed main span. It is an instrumental part of the Peregrine Falcon program overseen by the Virginia Department of Transportation.
- Vasco da Gama Bridge in Lisbon, Portugal is the longest bridge in Europe, with a total length of 17.2 kilometres (10.7 mi), including 0.829 kilometres (0.515 mi) for the main bridge, 11.5 kilometres (7.1 mi) in viaducts and 4.8 kilometres (3.0 mi) in extension roads.
- The Leonard P. Zakim Bunker Hill Memorial Bridge in downtown Boston, Massachusetts spanning the Charles River is the cable-stayed bridge with the world's widest roadbed for such a bridge, at some 183 feet (56 m), encompassing ten lanes of traffic. It is also the first cable-stayed bridge with an asymmetrical deck design, with two of the 10 lanes cantilevered from the south side of the main bridge deck.
- The Kazungula Bridge is a road and rail bridge over the Zambezi river between the countries of Zambia and Botswana (3,028 feet).
- Zárate–Brazo Largo Bridges over the Paraná Guazú and Paraná de las Palmas Rivers in Argentina (1972–1976) are the first two road and railway long-span cable-stayed steel bridges in the world. Spans: 110 metres (360 ft) + 330 metres (1,080 ft) + 110 metres (360 ft).
- Vidyasagar Setu, also known as the Second Hooghly Bridge, over the Hooghly river, happens to be the first and longest such bridge in India and one of the longest in Asia. It connects the twin cities of Howrah and Kolkata.
See also
[edit]References
[edit]- ^ Nordrum, Amy. "Popular Cable-Stay Bridges Rise Across U.S. to Replace Crumbling Spans". Scientific American. Retrieved 30 April 2017.
- ^ "Bluff Dale Suspension Bridge". Historic American Engineering Record. Library of Congress.
- ^ "Barton Creek Bridge". Historic American Engineering Record. Library of Congress.
- ^ 42°30′14″N 2°08′37″E / 42.5040°N 2.1436°E
- ^ 48°46′51″N 3°06′24″W / 48.7807°N 3.1065345°W
- ^ 36°38′56″N 5°55′49″W / 36.64876°N 5.9304°W
- ^ a b Troyano, Leonardo (2003). Bridge Engineering: A Global Perspective. Thomas Telford. pp. 650–652. ISBN 0-7277-3215-3.
- ^ 44°22′57″N 4°43′42″E / 44.3824°N 4.7284°E
- ^ a b "Cable Stayed Bridge". Middle East Economic Engineering Forum. Archived from the original on 25 May 2019. Retrieved 13 May 2016.
- ^ Sarhang Zadeh, Olfat (October 2012). "Comparison Between Three Types of Cable Stayed Bridges Using Structural Optimization" (PDF). Western University Canada.
- ^ T.K. Bandyopadhyay; Alok Baishya (2000). P. Dayaratnam; G.P. Garg; G.V. Ratnam; R.N. Raghavan (eds.). International Conference on Suspension, Cable Supported, and Cable Stayed Bridges: November 19–21, 1999, Hyderabad. Universities Press (India). pp. 282, 373. ISBN 978-81-7371-271-5.
- ^ Virlogeux, Michel (1 February 2001). "Bridges with multiple cable-stayed spans". Structural Engineering International. 11 (1): 61–82. doi:10.2749/101686601780324250. S2CID 109604691.
- ^ "Bridging To The Future Of Engineering" (Press release). American Society of Civil Engineers. 12 March 2007. Archived from the original on 10 October 2008. Retrieved 8 March 2008.
- ^ a b "First Amazon bridge to open world's greatest rainforest to development". The Guardian. 5 August 2010. Retrieved 19 January 2020.
- ^ "Rio Negro Bridge, $400-Million Economic Link, Opens in Amazon Basin". www.enr.com. Retrieved 7 December 2021.
- ^ "United States: The longest cable-stayed bridge in the West". 14 August 2015.
- ^ Paybarah, Azi; Schweber, Nate (29 August 2019). "The City's Most Hated Bridge Gets a Nearly $1 Billion Makeover". The New York Times. ISSN 0362-4331. Retrieved 29 August 2019.
- ^ "Margaret Hunt Hill Bridge, 2012 OCEA". Texas Section-American Society of Civil Engineers. Archived from the original on 5 January 2017. Retrieved 5 January 2017.
- ^ "Outstanding Civil Engineering Achievement Awards". Texas Section-American Society of Civil Engineers. Archived from the original on 18 February 2016. Retrieved 5 January 2017.
- ^ "Margaret Hunt Bridge, Dallas, USA". 2012 ECCS Award For Steel Bridges. Brussels, Belgium: European Convention for Constructional Steelwork. pp. 4–7. Archived from the original on 5 January 2017. Retrieved 5 January 2017.
- ^ "Queensferry Crossing | the Forth Bridges".
- ^ "Cable Stays: Second Severn Crossing" (PDF). Freyssinet.
Further reading
[edit]- De Miranda F., et al., (1979), "Basic problems in long span cable stayed bridges", Rep. n. 25, Dipartimento di Strutture – Università di Calabria – Arcavacata (CS) Italy, (242 pagg.) September 1979.
- Gregory, Frank Hutson; Freeman, Ralph Anthony (1987). The Bangkok Cable Stayed Bridge. 3 F Engineering Consultants, Bangkok. ISBN 974-410-097-4.
- Podolny, Walter; Scalzi, John B. (1986). Construction and design of cable-stayed bridges (2nd ed.). New York: Wiley. ISBN 0471826553.*
- Walther, Rene; et al. (1999). Cable Stayed Bridges (2nd ed.). Thomas Telford. ISBN 0-7277-2773-7.
External links
[edit]Cable-stayed bridge
View on GrokipediaFundamentals
Definition and Characteristics
A cable-stayed bridge is a structural system in which the bridge deck is supported directly by inclined cables anchored to one or more towers, known as pylons, with the cables operating in tension to transfer loads from the deck to the pylons and ground anchorages.[7] Unlike suspension bridges, the cables connect straight from the pylons to the deck without intermediary suspenders, creating a continuous girder that functions as an elastic beam under prestress from the cable forces.[2] This configuration allows for efficient load distribution, with the deck primarily in compression and the cables in tension, minimizing the need for massive anchor blocks compared to other cable-supported designs.[3] Key characteristics of cable-stayed bridges include their suitability for medium to long spans, typically ranging from 100 to 1,100 meters, making them ideal for crossings where cantilever or arch bridges become inefficient.[2] The cables are arranged in patterns such as fan (converging at the pylon top), harp (parallel lines from evenly spaced points on the pylon), or harped (a semi-parallel variant with adjusted spacing), which influence both structural performance and visual design.[7] These bridges often exhibit aesthetic appeal due to the prominent, diagonal cable arrays that create a dynamic, modern silhouette against the skyline.[2] In terms of load paths, vertical forces from traffic and environmental loads on the deck are primarily carried by the cable stays, which resolve these into axial tension and direct the resultant forces to the pylons for vertical support and to anchorages for horizontal balance.[3] Cable-stayed bridges can be classified by span length as short-span (under 200 meters), medium-span (200–500 meters), and long-span (over 500 meters), with the majority falling into the medium category for optimal economy and constructability.[2] This versatility positions them as a preferred choice for urban and coastal infrastructure where both functionality and visual impact are prioritized.[7]Key Structural Components
The key structural components of a cable-stayed bridge consist of the pylons, stay cables, deck, and anchorage systems supported by foundations, each designed to handle specific forces while ensuring overall stability. Most are earth-anchored, though self-anchored variants exist where end spans anchor to the deck itself.[3] Pylons, or towers, provide the primary vertical support and serve as anchor points for the stay cables. Typically constructed from reinforced or prestressed concrete for compressive strength or steel for fabrication efficiency, they feature cross-sections that are either hollow (for concrete to reduce weight) or solid/truss-like (for steel to enhance rigidity). Common shapes include A-shaped, H-frame, inverted Y-frame, diamond, or twin-diamond configurations to optimize load distribution and site constraints. Pylon heights generally range from 20% to 25% of the main span length, allowing for effective cable angles while minimizing material use. Stay cables are the tension elements that connect the pylons to the deck, directly transferring vertical and horizontal loads. Composed of high-strength steel in configurations such as parallel wire strands, locked coil ropes, or spiral strands, they achieve tensile strengths of 1,570 to 1,860 N/mm²[8] and are often protected by polyethylene sheathing against corrosion. Cables are arranged in parallel (harp), fanned (fan), or semi-fanned patterns, with anchorage points at the pylon tops and along the deck at intervals of 5 to 15 meters. Typical cable diameters vary from 10 to 20 cm, accommodating bundles of 5 to 7 mm wires or 15 to 15.7 mm strands scaled to span demands. The deck forms the bridge's superstructure, carrying traffic loads and distributing them to the cable attachment points. Predominantly a box-girder design for torsional stiffness, it is built from steel for long spans exceeding 500 meters, concrete for medium spans under 250 meters, or steel-concrete composites for balanced performance. Deck widths are engineered for vehicular capacity, often 20 to 30 meters to support multiple lanes, with depths typically 1/80 to 1/300 of the span length to maintain slenderness without excessive deflection.[2] Anchorages and foundations secure the system against tensile and compressive forces. Cable anchorages, embedded in the pylons and deck, use steel saddles or deviators to grip strands and transfer loads without slippage, often requiring complex detailing in fan arrangements. End piers function as primary anchorages for backstay cables, resisting horizontal pulls, while deep foundations such as drilled shafts or piles extend to bedrock to counter uplift from cable tension and vertical compression from pylons, with base dimensions scaled to site geology for overturning resistance.Principle of Operation
In a cable-stayed bridge, dead loads such as the self-weight of the deck and live loads from traffic are transferred from the bridge deck to the pylons primarily through the inclined stay cables, which carry these forces in tension.[2] The vertical components of the cable tensions support the downward loads, while the horizontal components induce axial compression in the deck, helping to stiffen it against bending.[9] These cable forces are then balanced at the pylons, where the tensions resolve into compressive forces within the pylon structure, and anchorage reactions at the base or backstays transfer the loads to the foundations.[9] The structural stability relies on principles of static equilibrium, ensuring vertical and horizontal force balance across the system. For vertical equilibrium, the sum of the upward vertical components from the stay cables equals the total downward load on the deck. Horizontally, the inward-pulling components from opposing cable sets cancel at the pylon top, preventing net lateral movement. Additionally, the cable stays provide moment resistance by counteracting the deck's tendency to deflect under load; the inclined cables create a triangulated force path that minimizes rotational moments, enhancing overall rigidity without relying heavily on the deck's flexural strength.[2] A simplified model for cable tension in a symmetric cable-stayed bridge assumes a uniform vertical load distributed over the main span, supported equally by cable sets on either side of the pylon. For equilibrium, the vertical component of tension in each cable set balances half the total load, leading to the relation , where is the cable tension and is the cable inclination angle to the horizontal. Solving for yields the basic formula: This derivation starts with vertical force balance per side: the cable's vertical resolution equals . The horizontal components from both sides cancel at the pylon, maintaining equilibrium without shear buildup. In practice, this approximation applies to idealized cases with end or average-angle cables; actual tensions vary along multi-cable arrangements due to distributed loading.[2] Dynamically, cable-stayed bridges respond to wind and vibrations through the stays' role in distributing torsional and flexural modes across the structure. The cables stiffen the deck against aerodynamic torsion by coupling lateral and vertical motions, reducing flutter risks under crosswinds. However, stay cables themselves are prone to vibrations from wind, rain, or traffic, with low inherent damping (typically 0.1-0.3% of critical) necessitating supplemental measures.[10] Rain-wind-induced vibrations, common at wind speeds of 5-18 m/s, arise from upper rivulet formation on the cable surface, exciting oscillations at 0.5-3.3 Hz; effective damping requires achieving 0.5-1.0% of critical via external viscous dampers or cross-ties to limit amplitudes and prevent fatigue.[9][11]History
Early Developments
The origins of cable-stayed bridges trace back to 19th-century engineering experiments in Europe, where early iron cable systems were tested in small-scale footbridges. For instance, in 1822, French engineer Marc Séguin constructed an iron wire suspension bridge at Vernosc-les-Annonay that incorporated inclined wire supports, serving as a precursor to direct cable anchorage concepts by blending suspension and stayed elements for pedestrian use.[12] These structures marked initial explorations of tensioned cables to support decks, though limited by material strength and primarily temporary in nature. In the mid-19th century, American engineer John A. Roebling advanced these ideas through hybrid "stayed suspension" designs influenced by European inclined suspenders. His 1845 Pittsburgh Aqueduct featured parabolic main cables supplemented by inclined stays that carried up to one-third of the load, enhancing stability without full reliance on suspenders; similar configurations appeared in the 1867 Cincinnati-Covington Bridge (main span 1,057 ft) and the 1883 Brooklyn Bridge (main span 1,595 ft).[13] Roebling's strength-based equilibrium method, using safety factors of 4–5, demonstrated the feasibility of stays for load distribution in longer spans, transitioning concepts from experimental footbridges toward permanent vehicular applications. German engineer Franz Dischinger contributed theoretical advancements in the 1920s and 1930s through patents on cable-stayed systems, laying groundwork for modern designs. An early example of a vehicular stayed suspension bridge in Europe was the 1928 Port à l'Anglais Bridge (Anglais Bridge) in Alfortville, France (span approximately 50 m), which featured inclined suspenders in a hybrid configuration, shifting from temporary pedestrian setups toward enduring road use. Post-World War II material innovations, particularly high-strength steel cables, enabled longer spans and permanent construction; Dischinger's design for the 1956 Strömsund Bridge in Sweden (182 m main span) became the first modern cable-stayed example, with radial steel stays from A-frame pylons supporting a steel deck.[14] French engineers contributed through post-war reconstruction efforts, adopting steel cables for efficient, economical spans in hybrid systems that influenced European adoption.[2]Modern Advancements
The post-1970s era marked a significant boom in cable-stayed bridge construction, driven by advancements in materials and design that enabled longer spans and greater global adoption. During the 1970s and 1980s, projects like the Alex Fraser Bridge (formerly Annacis Island Bridge) in Canada, completed in 1986 with a main span of 465 meters, exemplified this growth and set a then-record length. This period also saw the introduction of aerodynamic improvements, such as streamlined deck shapes and wind mitigation strategies, to enhance stability against vortex-induced vibrations and gusts, making longer spans feasible in windy environments. The 1980s energy crises further influenced designs by emphasizing material efficiency, reducing steel and concrete usage through optimized cable arrangements that minimized overall structural weight while maintaining load capacity. In the 1990s and 2000s, span records continued to escalate, with the integration of computer-aided design tools revolutionizing structural analysis and optimization. The Millau Viaduct in France, opened in 2004 with a central span of 342 meters, highlighted these capabilities through finite element modeling that allowed precise simulation of complex load distributions and construction sequencing. By the late 1990s, spans reached approximately 890 meters, as seen in Japan's Tatara Bridge (1999), surpassing earlier benchmarks like the Higashi-Kobe Bridge's 485-meter span from 1990. These computational advancements enabled engineers to iterate designs rapidly, incorporating nonlinear cable behaviors and dynamic responses, which supported the proliferation of cable-stayed bridges worldwide for spans between 200 and 1,000 meters. Twenty-first-century innovations have focused on durability, sustainability, and resilience, particularly in seismically active regions like Asia. The use of composite materials, such as steel-concrete hybrid decks, has improved stiffness and reduced weight, as demonstrated in projects like the Queensferry Crossing in the UK (2017, 650-meter spans). Smart monitoring systems, employing wireless sensors to measure cable tension via vibration analysis, have become standard for real-time health assessment, with deployments on bridges like South Korea's Jindo Bridge (1984) enabling predictive maintenance and early damage detection. Sustainability features, including recycled steel—up to 19,000 tonnes in some structures—have lowered embodied carbon, while seismic adaptations in Asia, such as fluid viscous dampers and isolated foundations, have enhanced performance against earthquakes, as refined through post-2000 studies on bridges like the Higashi-Kobe during the 1995 Kobe event. As of 2025, the longest span stands at 1,208 meters with China's Changtai Yangtze River Bridge, reflecting ongoing evolution toward spans exceeding 1,200 meters through these integrated technologies.[15]Engineering and Design
Structural Analysis
Structural analysis of cable-stayed bridges involves evaluating the interactions among the deck, cables, and pylons under various loading conditions to ensure stability, safety, and serviceability. Static analysis addresses dead loads from the bridge's self-weight and live loads from traffic or pedestrians, while dynamic analysis considers time-varying forces such as wind, seismic events, and vehicle-induced vibrations. These analyses typically employ finite element methods (FEM) to model the nonlinear behavior of cables and the coupled responses of structural components. For instance, three-dimensional FEM simulations capture deck-stay-pylon interactions by discretizing the structure into beam, shell, and truss elements, enabling accurate prediction of internal forces and deformations.[16][17][18] In static analysis, the bending moment at the pylon base, , arises from the horizontal components of cable tensions and is given by where is the tension in the -th cable, is its inclination from vertical, and is the vertical height from the pylon base to the cable's anchorage point on the pylon. This equation arises from balancing the horizontal components of cable pulls against the pylon's resistance, often computed iteratively in FEM models to account for geometric nonlinearities. Deflection limits are enforced per design codes, such as L/800 for live load deflections in highway bridges, to prevent excessive deformations that could affect drivability or durability.[19] Load factors are applied according to standards like AASHTO LRFD or Eurocode EN 1990 to distinguish between ultimate limit states (ULS) for structural strength and serviceability limit states (SLS) for user comfort and functionality. In AASHTO, ULS combinations use factors such as 1.25 for dead loads and 1.75 for live loads to verify capacity against collapse, while SLS checks control vibrations and deflections under unfactored or reduced loads. Eurocode similarly defines ULS for safety against rupture or instability and SLS for limiting vibrations in pedestrian or traffic scenarios, ensuring accelerations remain below thresholds like 0.5 m/s² for comfort.[20][21][22] Dynamic analysis extends to aerodynamic stability, where flutter—a self-excited oscillation—poses risks to long-span bridges under crosswinds. Flutter analysis involves modal decomposition and aeroelastic modeling to determine critical wind speeds, often using Scanlan's flutter derivatives to quantify motion-induced forces on the deck. Cables introduce additional complexity through their sag, which reduces effective stiffness by allowing geometric nonlinearity; the sag effect lowers the cable's axial rigidity, impacting overall bridge frequencies and requiring equivalent modulus adjustments in models, such as Ernst's formula for the reduced elastic modulus.[23][24] Specialized software facilitates these analyses, with tools like MIDAS Civil and SAP2000 enabling comprehensive simulations of construction stages, load paths, and nonlinear effects. MIDAS Civil supports automated cable force optimization and time-history analysis for seismic and wind loads, while SAP2000 provides robust FEM capabilities for modal and response spectrum evaluations in cable-deck-pylon systems. These platforms integrate code-based load factors and deflection checks to validate designs against ULS and SLS criteria.[25][26]Cable and Pylon Configurations
Cable-stayed bridges employ various configurations for cables and pylons to optimize structural efficiency, aesthetics, and load distribution. These arrangements influence the transfer of forces from the deck to the pylons, affecting overall stability and design economy. Common cable patterns include fan, harp, and semi-fan layouts, while pylon shapes typically feature H, A, Y, or diamond forms, either as single or multiple units in portal or diamond frames.[2][27] The fan pattern, also known as radial, arranges cables to converge at a single point atop the pylon, creating a radiating effect that minimizes material usage due to more favorable cable inclinations and reduces bending moments in the pylon compared to other patterns. This configuration is particularly advantageous for shorter spans, as it applies minimal transverse moments to the pylon, enhancing structural superiority, though it becomes impractical for very long spans where cable angles become excessively steep or spacing at the pylon top is unfeasible. In multi-pylon bridges, the radiant fan pattern extends this convergence principle across multiple supports, promoting efficient force resolution but requiring careful alignment to avoid uneven loading.[28][29][30] In contrast, the harp pattern maintains parallel cables throughout their length, providing even load distribution across the deck and pylon, which is beneficial for uniform stress management and aesthetic appeal through symmetrical lines. However, this setup demands taller pylons to achieve adequate inclinations, increasing material demands and inducing larger longitudinal bending moments in the pylon due to nonsymmetrical horizontal components. The semi-fan, or modified fan, hybrid combines elements of both, with cables converging partially toward the pylon top but remaining roughly parallel in the lower sections, balancing the fan's efficiency with the harp's practicality for moderate spans by reducing pylon moments while avoiding extreme convergence issues.[31][30][28] Pylon shapes significantly impact force paths and bending behavior, with common forms including the H-shaped portal, which uses vertical or slightly inclined legs connected by a crossbeam for robust resistance to lateral loads and torsion; the A-shaped, featuring inclined legs converging at the top to efficiently channel cable forces axially and minimize bending; and the Y-shaped (or inverted Y), where a single upright splits into two legs at the base, offering good stability for asymmetric loading while reducing material in the upper section. Diamond-shaped pylons, resembling crossed braces, provide enhanced rigidity through diagonal framing, particularly in single-pylon setups, and are favored for their aesthetic integration and ability to lower bending moments by distributing transverse forces effectively. Single pylons suit simple spans, whereas multiple pylons in multi-span bridges allow for radiant cable patterns but introduce complex interactions in bending moments, often requiring portal frames to counteract differential settlements.[2][32][33] Key configuration parameters include cable spacing on the deck, typically ranging from 5 to 20 meters to ensure each cable can be a single strand for ease of replacement and to optimize load transfer without excessive deck stiffening. Inclination angles for cables generally fall between 20 and 60 degrees, with a minimum of 25 degrees recommended to prevent excessive tension and compression in the deck while maximizing vertical force components; angles above 65 degrees can lead to inefficient horizontal pulls on the pylon. These parameters directly influence pylon bending moments, as steeper inclinations in fan patterns reduce them, whereas parallel harp arrangements amplify longitudinal moments, necessitating stronger pylon cross-sections.[27][29][34]Deck and Foundation Systems
The roadway deck in a cable-stayed bridge serves as the primary load-carrying element, directly supported by the stay cables and designed to integrate seamlessly with the overall structural system. Common deck types include orthotropic steel decks, which are prevalent in longer-span applications due to their lightweight construction and high strength-to-weight ratio; these consist of a steel plate with longitudinal ribs supported on transverse cross-girders, providing efficient material use and rapid fabrication.[29] For moderate spans, composite concrete decks—typically steel girders topped with a reinforced concrete slab—are widely used, offering enhanced durability and stiffness through the synergy of materials while reducing long-term maintenance needs.[35] Concrete box-girder decks are another standard choice, particularly in prestressed configurations, where the closed cross-section delivers superior torsional resistance by minimizing warping and distortion under asymmetric loading from the cables.[36] These box sections, often single-cell or multi-cell, are engineered with varying widths to optimize aerodynamic performance and cable anchorage, ensuring the deck's cross-section resists twisting moments effectively. To achieve structural efficiency, deck depths are typically maintained at 1/40 to 1/60 of the main span length, allowing for slender profiles that reduce self-weight while preserving bending and shear capacity.[37] Support systems for the deck emphasize secure and flexible connections to handle dynamic forces and environmental movements. Cable attachment points, known as saddles or deviators, are critical at the pylon tops and deck anchors; saddles guide and distribute cable forces evenly across the pylon, often using curved steel supports to minimize bending in the stays, while deviators on the deck redirect cables with low-friction interfaces to prevent premature wear.[38] Expansion joints accommodate thermal expansion, contraction, and seismic shifts, typically modular designs with elastomeric seals to allow up to several meters of relative movement without compromising waterproofing or ride quality. Bearings at pylon-deck interfaces and end supports provide rotational freedom and controlled translation; fixed bearings restrain horizontal and vertical loads while permitting rotation, guided bearings limit multi-directional movement, and free-sliding or rotating types enable longitudinal expansion. These elements ensure the deck's stability and longevity under varying loads. Foundation systems anchor the pylons and backstays, transferring substantial compressive and tensile forces into the ground while accounting for site-specific geotechnical conditions. Pile foundations, often bored or driven reinforced concrete piles arranged in groups under pylon bases, are commonly employed in soft or variable soils to achieve deep embedment and high axial capacity, with diameters ranging from 1 to 3 meters depending on load demands. Caisson foundations, such as open or pneumatic types, are preferred in marine or riverine environments for cable-stayed bridges, providing robust resistance to scour and lateral loads through their cellular or box-like structures sunk into the bedrock. Soil-structure interaction significantly influences pylon base design, as flexible soil layers can amplify base rotations and settlements under wind or seismic excitation, necessitating advanced modeling to predict differential movements and optimize foundation stiffness. Vibration control measures, including tuned mass dampers installed on the deck or pylons, mitigate aeroelastic effects like flutter or buffeting; these devices, tuned to the bridge's natural frequencies, dissipate energy through counter-oscillations, reducing amplitudes by up to 80% in long-span examples.[39]Comparisons with Other Bridges
Versus Suspension Bridges
Cable-stayed bridges differ fundamentally from suspension bridges in their load transfer mechanism. In cable-stayed designs, stay cables connect directly from the deck to the pylons, providing immediate support and distributing loads axially through the cables to the pylons.[40] In contrast, suspension bridges employ main cables that span between towers in a catenary curve, with vertical suspenders transferring the deck's weight to these main cables, which then convey loads to the towers and end anchorages.[40] This direct attachment in cable-stayed bridges eliminates the need for suspenders, resulting in a more integrated structural system.[41] Span capabilities highlight another key distinction, with cable-stayed bridges suited to medium-length spans typically ranging from 200 meters to over 1,100 meters, such as the 856-meter main span of the Pont de Normandie.[29] Suspension bridges, however, excel in ultra-long spans exceeding 1,000 meters, like the 2,023-meter 1915 Çanakkale Bridge in Turkey,[42] due to the efficient catenary shape of the main cables that minimizes material use for greater distances.[2] For spans under 800 meters, cable-stayed bridges are often more economical, requiring less steel and simpler anchorage systems without the massive end anchors needed in suspension designs.[43] Construction processes further underscore practical differences. Cable-stayed bridges allow for progressive erection, where the deck is built segmentally and supported by stays as construction advances, avoiding the need for a temporary catwalk or complex cable-spinning operations required for suspension bridge main cables.[43] This results in shorter construction times—often 20-30% faster for comparable projects—and reduced material demands, making them preferable for medium spans.[44] Suspension bridges, while ideal for record spans, involve more intricate assembly of main cables from thousands of wires, increasing both time and cost.[40] Additionally, cable-stayed bridges typically feature 50 to 200 stay cables per bridge, providing distributed support, whereas suspension bridges rely on just two main cables supplemented by dozens of suspenders.[40] Pylons in cable-stayed bridges primarily experience compression forces from the inclined stays and deck loads, balanced by tension in the cables.[2] Suspension bridge towers similarly bear compression from the draped main cables but must also resist significant horizontal thrust components, necessitating robust foundations.[41] Overall, cable-stayed bridges offer greater stiffness and wind resistance for their span range due to the direct cable-deck connection, reducing dynamic responses compared to the more flexible suspension systems.[41]| Aspect | Cable-Stayed Bridges | Suspension Bridges |
|---|---|---|
| Typical Span Range | 200–1,200 m[45] | >1,000 m (up to 2,000 m+)[29] |
| Material Use | Less steel for spans 700–1,500 m; 50–200 cables[40] | More steel overall; 2 main cables + suspenders[40] |
| Erection Time | Faster (e.g., no cable spinning; 20–30% quicker)[43] | Longer due to main cable installation[44] |
Versus Arch and Beam Bridges
Cable-stayed bridges differ fundamentally from arch bridges in their structural principles, with cable-stayed designs relying on tension in the stays to support the deck, while arch bridges depend on compression within the curved arch rib to transfer loads to the abutments. This tension-based system in cable-stayed bridges eliminates the horizontal thrust reactions that arch bridges impose on their foundations, making them particularly suitable for sites in valleys or over deep water where strong abutments are impractical or costly to construct. In contrast, arch bridges are most efficient for shorter spans, typically ranging from 100 to 500 meters, and require firm, stable foundations to resist the outward thrust, which can complicate construction in soft soils or uneven terrain. When compared to beam or girder bridges, cable-stayed bridges offer superior performance for medium to long spans by using inclined stays to directly transfer loads from the deck to the pylon, significantly reducing bending moments and allowing for spans that exceed the practical limits of continuous beam designs. Traditional beam bridges, whether simply supported or continuous, are constrained by material strength and deflection limits, with economic spans generally limited to 200 to 400 meters due to excessive flexural stresses and the need for deep girders to control deflections under L/1000 serviceability criteria. Cable-stayed configurations alleviate these issues by distributing loads axially through the cables, providing an economic crossover point around 150 to 300 meters where they become more cost-effective than beam alternatives, especially for roadways or railways requiring minimal vertical clearance. Arch bridges generate significant horizontal thrust reactions at the abutments, which must be countered by massive end supports or tie rods, whereas cable-stayed bridges produce primarily vertical anchorage pulls at the deck ends and pylons, simplifying foundation design in constrained sites. Beam bridges suffer from pronounced deflection problems under live loads, often necessitating stiffening trusses or increased section depths, a challenge mitigated in cable-stayed bridges through the stays' ability to limit mid-span sags and vibrations.| Aspect | Cable-Stayed Bridges | Arch Bridges | Beam/Girder Bridges |
|---|---|---|---|
| Primary Load Path | Tension in stays from deck to pylon | Compression in arch rib to abutments | Bending in longitudinal girders |
| Typical Span Range | 200–1,000 m (economic 150–600 m) | 100–500 m | Up to 200–400 m (continuous) |
| Terrain Adaptability | High (valleys, water; no thrust on abutments) | Moderate (needs firm foundations for thrust) | High (flat sites; sensitive to soil settlement) |
| Load Handling | Efficient for distributed and point loads via stays | Best for uniform compression; thrust limits | Prone to deflection and moments; needs stiffening |
