Schwandbach Bridge
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Schwandbach Bridge
The Schwandbach Bridge is a deck-stiffened reinforced concrete arch bridge near Bern in Switzerland, designed by Robert Maillart and completed in November 1933 at a cost of 47,298 CHF. Design The bridge has a main span (architecture), span of 37 metres, and a total length of 55.6m. The arch is polygonal rather than curved, and is only 200 mm thick.Billington, 1990, p.66 It supports the bridge deck via 160 mm thick reinforced concrete cross walls. The deck is thicker than the arch, and is stiff enough to prevent the slender arch from buckling. The highway deck is curved in plan. The arch varies in width from 4.2 metres to 6 metres, with one edge forming a straight line between river banks, and the other following the curve of the road.Billington, 1990, p.68 This arrangement helps to resist centrifugal forces from the traffic loads and from the curved deck's tendency to twist. Reception The bridge is regarded as one of Maillart's masterpieces. Unlike his previous arche ...
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Robert Maillart
Robert Maillart (16 February 1872 – 5 April 1940) was a Swiss civil engineer who revolutionized the use of structural reinforced concrete with such designs as the three-hinged arch and the deck-stiffened arch for bridges, and the beamless floor slab and mushroom ceiling for industrial buildings. His Salginatobel (1929–1930) and Schwandbach (1933) bridges changed the aesthetics and engineering of bridge construction dramatically and influenced decades of architects and engineers after him. In 1991 the Salginatobel Bridge was declared an International Historic Civil Engineering Landmark by the American Society of Civil Engineers. Early life and education Robert Maillart was born on 6 February 1872 in Bern, Switzerland. He attended the Federal Institute of Technology in Zurich and studied structural engineering at Zurich ETH from 1890 to 1894, lectures by Wilhelm Ritter on graphical statics forming part of the curriculum. Maillart did not excel in academic theori ...
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Reinforced Concrete
Reinforced concrete (RC), also called reinforced cement concrete (RCC) and ferroconcrete, is a composite material in which concrete's relatively low tensile strength and ductility are compensated for by the inclusion of reinforcement having higher tensile strength or ductility. The reinforcement is usually, though not necessarily, steel bars ( rebar) and is usually embedded passively in the concrete before the concrete sets. However, post-tensioning is also employed as a technique to reinforce the concrete. In terms of volume used annually, it is one of the most common engineering materials. In corrosion engineering terms, when designed correctly, the alkalinity of the concrete protects the steel rebar from corrosion. Description Reinforcing schemes are generally designed to resist tensile stresses in particular regions of the concrete that might cause unacceptable cracking and/or structural failure. Modern reinforced concrete can contain varied reinforcing materials made of ...
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Arch Bridge
An arch bridge is a bridge with abutments at each end shaped as a curved arch. Arch bridges work by transferring the weight of the bridge and its loads partially into a horizontal thrust restrained by the abutments at either side. A viaduct (a long bridge) may be made from a series of arches, although other more economical structures are typically used today. History Possibly the oldest existing arch bridge is the Mycenaean Arkadiko Bridge in Greece from about 1300 BC. The stone corbel arch bridge is still used by the local populace. The well-preserved Hellenistic Eleutherna Bridge has a triangular corbel arch. The 4th century BC Rhodes Footbridge rests on an early voussoir arch. Although true arches were already known by the Etruscans and ancient Greeks, the Romans were – as with the vault and the dome – the first to fully realize the potential of arches for bridge construction. A list of Roman bridges compiled by the engineer Colin O'Connor featur ...
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Bern
german: Berner(in)french: Bernois(e) it, bernese , neighboring_municipalities = Bremgarten bei Bern, Frauenkappelen, Ittigen, Kirchlindach, Köniz, Mühleberg, Muri bei Bern, Neuenegg, Ostermundigen, Wohlen bei Bern, Zollikofen , website = www.bern.ch Bern () or Berne; in other Swiss languages, gsw, Bärn ; frp, Bèrna ; it, Berna ; rm, Berna is the ''de facto'' capital of Switzerland, referred to as the "federal city" (in german: Bundesstadt, link=no, french: ville fédérale, link=no, it, città federale, link=no, and rm, citad federala, link=no). According to the Swiss constitution, the Swiss Confederation intentionally has no "capital", but Bern has governmental institutions such as the Federal Assembly and Federal Council. However, the Federal Supreme Court is in Lausanne, the Federal Criminal Court is in Bellinzona and the Federal Administrative Court and the Federal Patent Court are in St. Gallen, exemplifying the federal nature of the Confederation. ...
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Switzerland
). Swiss law does not designate a ''capital'' as such, but the federal parliament and government are installed in Bern, while other federal institutions, such as the federal courts, are in other cities (Bellinzona, Lausanne, Luzern, Neuchâtel, St. Gallen a.o.). , coordinates = , largest_city = Zürich , official_languages = , englishmotto = "One for all, all for one" , religion_year = 2020 , religion_ref = , religion = , demonym = , german: Schweizer/Schweizerin, french: Suisse/Suissesse, it, svizzero/svizzera or , rm, Svizzer/Svizra , government_type = Federalism, Federal assembly-independent Directorial system, directorial republic with elements of a direct democracy , leader_title1 = Federal Council (Switzerland), Federal Council , leader_name1 = , leader_title2 = , leader_name2 = Walter Thurnherr , legislature = Fe ...
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Span (architecture)
Span is the distance between two intermediate supports for a structure, e.g. a beam (structure), beam or a bridge. A span can be closed by a solid beam or by a rope. The first kind is used for bridges, the second one for power lines, overhead telecommunication lines, some type of Antenna (radio), antennas or for aerial tramways. The span is a significant factor in finding the strength and size of a beam as it determines the maximum bending moment and Deflection (engineering), deflection. The maximum bending moment M_ and deflection \delta_in the pictured beam is found using: :M_ = \frac :\delta_ = \frac = \frac where :q = Uniformly distributed load :L = Length of the beam between two supports (span) :E = Modulus of elasticity :I = Area moment of inertia Note that the maximum bending moment and deflection occur midway between the two supports. From this it follows that if the span is doubled, the maximum moment (and with it the tensile stress, stress) will quadruple, and ...
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Polygon
In geometry, a polygon () is a plane figure that is described by a finite number of straight line segments connected to form a closed ''polygonal chain'' (or ''polygonal circuit''). The bounded plane region, the bounding circuit, or the two together, may be called a polygon. The segments of a polygonal circuit are called its '' edges'' or ''sides''. The points where two edges meet are the polygon's '' vertices'' (singular: vertex) or ''corners''. The interior of a solid polygon is sometimes called its ''body''. An ''n''-gon is a polygon with ''n'' sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. Mathematicians are often concerned only with the bounding polygonal chains of simple polygons and they often define a polygon accordingly. A polygonal boundary may be allowed to cross over itself, creating star polygons and other self-intersecting polygons. A polygon is a 2-dimensional example of the more general polytope in any number ...
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Buckling
In structural engineering, buckling is the sudden change in shape (deformation) of a structural component under load, such as the bowing of a column under compression or the wrinkling of a plate under shear. If a structure is subjected to a gradually increasing load, when the load reaches a critical level, a member may suddenly change shape and the structure and component is said to have ''buckled''. Euler's critical load and Johnson's parabolic formula are used to determine the buckling stress in slender columns. Buckling may occur even though the stresses that develop in the structure are well below those needed to cause failure in the material of which the structure is composed. Further loading may cause significant and somewhat unpredictable deformations, possibly leading to complete loss of the member's load-carrying capacity. However, if the deformations that occur after buckling do not cause the complete collapse of that member, the member will continue to support the ...
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Centrifugal Force
In Newtonian mechanics, the centrifugal force is an inertial force (also called a "fictitious" or "pseudo" force) that appears to act on all objects when viewed in a rotating frame of reference. It is directed away from an axis which is parallel to the axis of rotation and passing through the coordinate system's origin. If the axis of rotation passes through the coordinate system's origin, the centrifugal force is directed radially outwards from that axis. The magnitude of centrifugal force ''F'' on an object of mass ''m'' at the distance ''r'' from the origin of a frame of reference rotating with angular velocity is: F = m\omega^2 r The concept of centrifugal force can be applied in rotating devices, such as centrifuges, centrifugal pumps, centrifugal governors, and centrifugal clutches, and in centrifugal railways, planetary orbits and banked curves, when they are analyzed in a rotating coordinate system. Confusingly, the term has sometimes also been used for the reactiv ...
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Museum Of Modern Art
The Museum of Modern Art (MoMA) is an art museum located in Midtown Manhattan, New York City, on 53rd Street between Fifth and Sixth Avenues. It plays a major role in developing and collecting modern art, and is often identified as one of the largest and most influential museums of modern art in the world. MoMA's collection offers an overview of modern and contemporary art, including works of architecture and design, drawing, painting, sculpture, photography, prints, illustrated and artist's books, film, and electronic media. The MoMA Library includes about 300,000 books and exhibition catalogs, more than 1,000 periodical titles, and more than 40,000 files of ephemera about individual artists and groups. The archives hold primary source material related to the history of modern and contemporary art. It attracted 1,160,686 visitors in 2021, an increase of 64% from 2020. It ranked 15th on the list of most visited art museums in the world in 2021.'' The Art Newspaper'' an ...
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