Cantilever Bridges
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A cantilever bridge is a
bridge A bridge is a structure built to Span (engineering), span a physical obstacle (such as a body of water, valley, road, or railway) without blocking the path underneath. It is constructed for the purpose of providing passage over the obstacle, whi ...
built using structures that project horizontally into space, supported on only one end (called
cantilever A cantilever is a rigid structural element that extends horizontally and is unsupported at one end. Typically it extends from a flat vertical surface such as a wall, to which it must be firmly attached. Like other structural elements, a cantilev ...
s). For small
footbridges A footbridge (also a pedestrian bridge, pedestrian overpass, or pedestrian overcrossing) is a bridge designed solely for pedestrians.''Oxford English Dictionary'' While the primary meaning for a bridge is a structure which links "two points at a ...
, the cantilevers may be simple beams; however, large cantilever bridges designed to handle road or rail traffic use
truss A truss is an assembly of ''members'' such as Beam (structure), beams, connected by ''nodes'', that creates a rigid structure. In engineering, a truss is a structure that "consists of two-force members only, where the members are organized so ...
es built from
structural steel Structural steel is steel used for making construction materials in a variety of shapes. Many structural steel shapes take the form of an elongated beam having a profile of a specific cross section (geometry), cross section. Structural steel sha ...
, or
box girder A box girder or tubular girder (or box beam) is a girder that forms an enclosed tube with multiple walls, as opposed to an i-beam, - or H-beam. Originally constructed of wrought iron joined by riveting, they are now made of rolled steel, rolled ...
s built from
prestressed concrete Prestressed concrete is a form of concrete used in construction. It is substantially prestressed (Compression (physics), compressed) during production, in a manner that strengthens it against tensile forces which will exist when in service. Post-t ...
. The steel truss cantilever bridge was a major engineering breakthrough when first put into practice, as it can span distances of over , and can be more easily constructed at difficult crossings by virtue of using little or no
falsework Falsework consists of temporary structures used in construction to support a permanent structure until its construction is sufficiently advanced to support itself. For arches, this is specifically called centering. Falsework includes temporary ...
.


Origins

Engineer Engineers, as practitioners of engineering, are professionals who Invention, invent, design, build, maintain and test machines, complex systems, structures, gadgets and materials. They aim to fulfill functional objectives and requirements while ...
s in the 19th century understood that a bridge continuous across multiple supports would distribute the loads among them. This would result in lower stresses in the girder or truss and meant that longer spans could be built. Several 19th-century engineers patented continuous bridges with
hinge A hinge is a mechanical bearing that connects two solid objects, typically allowing only a limited angle of rotation between them. Two objects connected by an ideal hinge rotate relative to each other about a fixed axis of rotation, with all ...
points mid-span. The use of a hinge in the multi-span system presented the advantages of a
statically determinate In statics and structural mechanics, a structure is statically indeterminate when the equilibrium equations force and moment equilibrium conditions are insufficient for determining the internal forces and reactions on that structure. Mathemat ...
system and of a bridge that could handle differential settlement of the foundations. Engineers could more easily calculate the forces and stresses with a hinge in the girder. Heinrich Gerber was one of the engineers to obtain a patent for a hinged girder (1866) and is recognized as the first to build one. Located in Germany, the Hassfurt Bridge over the Main river in Germany with a central span of 124 feet (38 metres) was completed in 1867 and is recognized as the first modern cantilever bridge. The High Bridge of Kentucky by C. Shaler Smith (1877), the Niagara Cantilever Bridge by
Charles Conrad Schneider Charles Conrad Schneider (; April 24, 1843 – January 8, 1916), often referred to as C. C. Schneider, was an American civil engineer and bridge designer. Schneider was also a member and president of the American Society of Civil Engineers. Bio ...
(1883) and the Poughkeepsie Bridge by John Francis O'Rourke and Pomeroy P. Dickinson (1889) were all important early uses of the cantilever design. The Kentucky River Bridge spanned a gorge 275 feet (84 metres) deep and took full advantage of the fact that falsework, or temporary support, is not needed for the main span of a cantilever bridge. The
Forth Bridge The Forth Bridge is a cantilever railway bridge across the Firth of Forth in the east of Scotland, west of central Edinburgh. Completed in 1890, it is considered a symbol of Scotland (having been voted Scotland's greatest man-made wonder in ...
is a notable example of an early cantilever bridge. This bridge held the record for longest span in the world for twenty-nine years until it was surpassed by the
Quebec Bridge The Quebec Bridge () is a road, rail, and pedestrian bridge across the lower Saint Lawrence River between Sainte-Foy, Quebec City, Sainte-Foy (a former suburb that in 2002 became the arrondissement Sainte-Foy–Sillery–Cap-Rouge in Quebec Cit ...
. The engineers responsible for the bridge, Sir Benjamin Baker and Sir John Fowler, demonstrated the structural principles of the suspended span cantilever by sitting in chairs and supporting their colleague, Kaichi Watanabe, in between them, using just their arms and wooden poles. The suspended span, where Watanabe sits, is in the center. The wooden poles resist the compression of the lower chord, while the outstretched arms support the tension of the upper chord. The placement of the brick counterweights demonstrates the action of the outer foundations.


Function

A simple cantilever span is formed by two cantilever arms extending from opposite sides of an obstacle to be crossed, meeting at the center. In a common variant, the suspended span, the cantilever arms do not meet in the center; instead, they support a central
truss bridge A truss bridge is a bridge whose load-bearing superstructure is composed of a truss, a structure of connected elements, usually forming triangular units. The connected elements, typically straight, may be stressed from tension, compression, or ...
which rests on the ends of the cantilever arms. The suspended span may be built off-site and lifted into place, or constructed in place using special travelling supports. A common way to construct steel truss and prestressed concrete cantilever spans is to counterbalance each cantilever arm with another cantilever arm projecting the opposite direction, forming a balanced cantilever; when they attach to a solid foundation, the counterbalancing arms are called anchor arms. Thus, in a bridge built on two foundation piers, there are four cantilever arms: two which span the obstacle, and two anchor arms that extend away from the obstacle. Because of the need for more strength at the balanced cantilever's supports, the bridge superstructure often takes the form of towers above the foundation piers. The Commodore Barry Bridge is an example of this type of cantilever bridge. Steel truss cantilevers support loads by tension of the upper members and
compression Compression may refer to: Physical science *Compression (physics), size reduction due to forces *Compression member, a structural element such as a column *Compressibility, susceptibility to compression * Gas compression *Compression ratio, of a ...
of the lower ones. Commonly, the structure distributes the tension via the anchor arms to the outermost supports, while the compression is carried to the foundations beneath the central towers. Many truss cantilever bridges use pinned joints and are therefore
statically determinate In statics and structural mechanics, a structure is statically indeterminate when the equilibrium equations force and moment equilibrium conditions are insufficient for determining the internal forces and reactions on that structure. Mathemat ...
with no members carrying mixed loads. Prestressed concrete balanced cantilever bridges are often built using segmental construction.


Construction methods

Some steel arch bridges (such as the
Navajo Bridge Navajo Bridge is the name of twin steel spandrel arch bridges that cross the Colorado River in the Grand Canyon National Park (near Lees Ferry) in northern Coconino County, Arizona, United States. The newer of the two spans carries vehicular t ...
) are built using pure cantilever spans from each side, with neither falsework below nor temporary supporting towers and cables above. These are then joined with a pin, usually after forcing the union point apart, and when jacks are removed and the bridge decking is added the bridge becomes a
truss arch bridge A truss arch bridge combines the elements of the truss bridge and the arch bridge. The actual resolution of forces will depend upon the bridge' design. If no horizontal thrusting forces are generated, this becomes an arch-shaped truss which is ess ...
. Such unsupported construction is only possible where appropriate rock is available to support the tension in the upper chord of the span during construction, usually limiting this method to the spanning of narrow canyons.


List by length

World's longest cantilever bridges (by longest span):


Examples

File:Quebec bridge pont de quebec.jpg, The
Quebec Bridge The Quebec Bridge () is a road, rail, and pedestrian bridge across the lower Saint Lawrence River between Sainte-Foy, Quebec City, Sainte-Foy (a former suburb that in 2002 became the arrondissement Sainte-Foy–Sillery–Cap-Rouge in Quebec Cit ...
is of the general structure described above. File:VejleFjordBridge.jpg, The Vejle Fjord Bridge is a concrete bridge built using the balanced cantilever method. File:SFOakBrEastPartVEast.jpg, Former eastern span of the
San Francisco–Oakland Bay Bridge The San Francisco–Oakland Bay Bridge, commonly referred to as the Bay Bridge, is a complex of bridges spanning San Francisco Bay in California. As part of Interstate 80 in California, Interstate 80 and the direct road between San Francisco an ...
File:Howrah Bridge, Kolkata.jpg,
Howrah Bridge The Howrah Bridge is a balanced steel bridge over the Hooghly River in West Bengal, India. Commissioned in 1943, the bridge was originally named the New Howrah Bridge, because it replaced a pontoon bridge at the same location linking the both ...
,
Kolkata Kolkata, also known as Calcutta ( its official name until 2001), is the capital and largest city of the Indian state of West Bengal. It lies on the eastern bank of the Hooghly River, west of the border with Bangladesh. It is the primary ...
File:ForthBridgeEdinburgh.jpg, The
Forth Bridge The Forth Bridge is a cantilever railway bridge across the Firth of Forth in the east of Scotland, west of central Edinburgh. Completed in 1890, it is considered a symbol of Scotland (having been voted Scotland's greatest man-made wonder in ...
with its three double cantilevers. File:North Span Bluewater Bridge (Port Huron Mich).jpg, Original 1938 span of the
Blue Water Bridge The Blue Water Bridge is a twin-span international bridge across the St. Clair River that links Port Huron, Michigan, United States, and Point Edward, Ontario, Canada. The Blue Water Bridge connects Highway 402 in Ontario with both Interst ...
File:Pulaski Skyway full view.jpg, Pulaski Skyway File:Vrengenbrua.jpg, Vrengen Bridge, a concrete bridge.


References


External links


"Cantilever Bridge"
by Sándor Kabai,
The Wolfram Demonstrations Project The Wolfram Demonstrations Project is an open-source collection of interactive programmes called Demonstrations. It is hosted by Wolfram Research. At its launch, it contained 1300 demonstrations but has grown to over 10,000. The site won a Pa ...
, 2007. *''Biggest of Finished Girders Go Traveling: six giants of 70 tons gave engineers a hard nut to crack'',
Popular Science Popular science (also called pop-science or popsci) is an interpretation of science intended for a general audience. While science journalism focuses on recent scientific developments, popular science is more broad ranging. It may be written ...
monthly, February 1919, page 79
Scanned
by
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