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A mudbrick catenary arch A catenary curve (left) and a catenary arch, also a catenary curve (right). One points up, and one points down, but the curves are the same. 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.
Hip, hipped: A hipped roof is sloped in two pairs of directions (e.g. N–S and E–W) compared to the one pair of direction (e.g. N–S or E–W) for a gable roof. Cross hipped: The result of joining two or more hip roof sections together, forming a T or L shape for the simplest forms, or any number of more complex shapes.
A chain hanging from points forms a catenary. The silk on a spider's web forming multiple elastic catenaries.. In physics and geometry, a catenary (US: / ˈ k æ t ən ɛr i / KAT-ən-err-ee, UK: / k ə ˈ t iː n ər i / kə-TEE-nər-ee) 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 Gateway Arch is a 630-foot-tall (192 m) monument in St. Louis, Missouri, United States. Clad in stainless steel and built in the form of a weighted catenary arch, [5] it is the world's tallest arch [4] and Missouri's tallest accessible structure. Some sources consider it the tallest human-made monument in the Western Hemisphere. [6]
An example of a catenary-shaped suspended structure is the Eero Saarinen designed Dulles International Airport. The roof of the structure is made up of suspension cable which stretches across angled concrete columns. In the design of Dulles airport, the floor, the columns and the roof all work together to allow the walls and ceiling to float. [6]
The corbel (also corbelled) arch, made of two corbels meeting in the middle of the span, is a true arch in a sense of being able to carry a load, but it is false in a structural sense, as its components are subject to bending stress. The typical profile is not curved, but has triangular shape.
While a parabolic arch may resemble a catenary arch, a parabola is a quadratic function while a catenary is the hyperbolic cosine, cosh(x), a sum of two exponential functions. One parabola is f(x) = x 2 + 3x − 1, and hyperbolic cosine is cosh(x) = e x + e −x / 2 . The curves are unrelated.
A stressed ribbon bridge (also stress-ribbon bridge or catenary bridge [1]) is a tension structure similar in many ways to a simple suspension bridge. The suspension cables are embedded in the deck, which follows a catenary arc between supports. As with a simple suspension bridge, the weight is taken by the suspension cables, but unlike the ...