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Weighted Catenary
A weighted catenary is a catenary curve, but of a special form. A "regular" catenary has the equation :y = a \, \cosh \left(\frac\right) = \frac for a given value of ''a''. A ''weighted catenary'' has the equation :y = b \, \cosh \left(\frac\right) = \frac and now ''two'' constants enter: ''a'' and ''b''. Significance A catenary arch has a uniform thickness. However, if # the arch is not of uniform thickness, # the arch supports more than its own weight,Re-review: Catenary and ParabolaRe-review: Catenary and Parabola accessdate: April 13, 2017 # or if gravity varies,MathOverflowclassical mechanics - Catenary curve under non-uniform gravitational field - MathOverflow accessdate: April 13, 2017 it becomes more complex. A weighted catenary is needed. The aspect ratio of a weighted catenary (or other curve) describes a rectangular frame containing the selected fragment of the curve theoretically continuing to the infinity. Definition from WhatIs.comWhat is aspect ratio? - De ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kette Kettenkurve Catenary 2008 PD
Kette is a town and commune in Cameroon. See also * Communes of Cameroon The Arrondissements of Cameroon are the third-level units of administration in Cameroon. The arrondissements are organised by divisions and sub divisions of each province (now Regions). As of 2005 (and since 1996) there are 2 urban commu ... References Site de la primature – Élections municipales 2002 Contrôle de gestion et performance des services publics communaux des villes camerounaises Thèse de Donation Avele, Université Montesquieu Bordeaux IV * Charles Nanga, La réforme de l’administration territoriale au Cameroun à la lumière de la loi constitutionnelle n° 96/06 du 18 janvier 1996', Mémoire ENA. Populated places in East Region (Cameroon) Communes of Cameroon {{Cameroon-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Catenary
In physics and geometry, a catenary (, ) is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends in a uniform gravitational field. The catenary curve has a U-like shape, superficially similar in appearance to a parabola, which it is not. The curve appears in the design of certain types of arches and as a cross section of the catenoid—the shape assumed by a soap film bounded by two parallel circular rings. The catenary is also called the alysoid, chainette,MathWorld or, particularly in the materials sciences, funicular. Rope statics describes catenaries in a classic statics problem involving a hanging rope. Mathematically, the catenary curve is the graph of the hyperbolic cosine function. The surface of revolution of the catenary curve, the catenoid, is a minimal surface, specifically a minimal surface of revolution. A hanging chain will assume a shape of least potential energy which is a catenary. Galileo Galil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Catenary Arch
A catenary arch is a type of architectural arch that follows an inverted catenary curve. The catenary curve has been employed in buildings since ancient times. It forms an underlying principle to the overall system of vaults and buttresses in stone vaulted Gothic cathedrals and in Renaissance domes. It is not a parabolic arch. In history The 17th-century scientist Robert Hooke wrote: "''Ut pendet continuum flexile, sic stabit contiguum rigidum inversum''", or, "As hangs a flexible cable so, inverted, stand the touching pieces of an arch." A note written by Thomas Jefferson in 1788 reads, "I have lately received from Italy a treatise on the equilibrium of arches, by the Abbé Mascheroni. It appears to be a very scientific work. I have not yet had time to engage in it; but I find that the conclusions of his demonstrations are, that every part of the catenary is in perfect equilibrium". Structural properties Architecturally, a catenary arch has the ability to withstand the w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
St Louis Night Expblend Cropped
ST, St, or St. may refer to: Arts and entertainment * Stanza, in poetry * Suicidal Tendencies, an American heavy metal/hardcore punk band * Star Trek, a science-fiction media franchise * Summa Theologica, a compendium of Catholic philosophy and theology by St. Thomas Aquinas * St or St., abbreviation of "State", especially in the name of a college or university Businesses and organizations Transportation * Germania (airline) (IATA airline designator ST) * Maharashtra State Road Transport Corporation, abbreviated as State Transport * Sound Transit, Central Puget Sound Regional Transit Authority, Washington state, US * Springfield Terminal Railway (Vermont) (railroad reporting mark ST) * Suffolk County Transit, or Suffolk Transit, the bus system serving Suffolk County, New York Other businesses and organizations * Statstjänstemannaförbundet, or Swedish Union of Civil Servants, a trade union * The Secret Team, an alleged covert alliance between the CIA and American industr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gateway Arch
The Gateway Arch is a monument in St. Louis, Missouri, United States. Clad in stainless steel and built in the form of a weighted catenary arch, it is the world's tallest arch and Missouri's tallest accessible building. Some sources consider it the tallest human-made monument in the Western Hemisphere. Built as a monument to the westward expansion of the United States and officially dedicated to "the American people", the Arch, commonly referred to as "The Gateway to the West", is a National Historic Landmark in Gateway Arch National Park and has become an internationally recognized symbol of St. Louis, as well as a popular tourist destination. The Arch was designed by Finnish-American architect Eero Saarinen in 1947; construction began on February 12, 1963, and was completed on October 28, 1965, at an overall cost of $13 million (equivalent to $ in 2018). The monument opened to the public on June 10, 1967. It is located at the site of the founding of St. Louis on the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Missouri
Missouri is a U.S. state, state in the Midwestern United States, Midwestern region of the United States. Ranking List of U.S. states and territories by area, 21st in land area, it is bordered by eight states (tied for the most with Tennessee): Iowa to the north, Illinois, Kentucky and Tennessee to the east, Arkansas to the south and Oklahoma, Kansas and Nebraska to the west. In the south are the Ozarks, a forested highland, providing timber, minerals, and recreation. The Missouri River, after which the state is named, flows through the center into the Mississippi River, which makes up the eastern border. With more than six million residents, it is the List of U.S. states and territories by population, 19th-most populous state of the country. The largest urban areas are St. Louis, Kansas City, Missouri, Kansas City, Springfield, Missouri, Springfield and Columbia, Missouri, Columbia; the Capital city, capital is Jefferson City, Missouri, Jefferson City. Humans have inhabited w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simple Suspension Bridge
A simple suspension bridge (also rope bridge, swing bridge (in New Zealand), suspended bridge, hanging bridge and catenary bridge) is a primitive type of bridge in which the deck of the bridge lies on two parallel load-bearing cables that are anchored at either end. They have no towers or piers. The cables follow a shallow downward catenary arc which moves in response to dynamic loads on the bridge deck. The arc of the deck and its large movement under load make such bridges unsuitable for vehicular traffic. Simple suspension bridges are restricted in their use to foot traffic. For safety, they are built with stout handrail cables, supported on short piers at each end, and running parallel to the load-bearing cables. Sometime these may be the primary load-bearing element, with the deck suspended below. Simple suspension bridges are considered the most efficient and sustainable design in rural regions, especially for river crossings that lie in non-floodplain topography such a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plane Curves
In mathematics, a plane curve is a curve in a plane that may be either a Euclidean plane, an affine plane or a projective plane. The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. Plane curves also include the Jordan curves (curves that enclose a region of the plane but need not be smooth) and the graphs of continuous functions. Symbolic representation A plane curve can often be represented in Cartesian coordinates by an implicit equation of the form f(x,y)=0 for some specific function ''f''. If this equation can be solved explicitly for ''y'' or ''x'' – that is, rewritten as y=g(x) or x=h(y) for specific function ''g'' or ''h'' – then this provides an alternative, explicit, form of the representation. A plane curve can also often be represented in Cartesian coordinates by a parametric equation of the form (x,y)=(x(t), y(t)) for specific functions x(t) and y(t). Plane curves can sometimes also be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arches And Vaults
An arch is a vertical curved structure that spans an elevated space and may or may not support the weight above it, or in case of a horizontal arch like an arch dam, the hydrostatic pressure against it. Arches may be synonymous with vaults, but a vault may be distinguished as a continuous arch forming a roof. Arches appeared as early as the 2nd millennium BC in Mesopotamian brick architecture, and their systematic use started with the ancient Romans, who were the first to apply the technique to a wide range of structures. Basic concepts An arch is a pure compression form. It can span a large area by resolving forces into compressive stresses, and thereby eliminating tensile stresses. This is sometimes denominated "arch action". 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. In order to preserve arch action and prevent collapse ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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