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In Education

z = -H/g (cosh (gx/H)-1) where z = vertical distance H = Horizontal component of cable force g = weight of cable / unit of lenght x = horizontal distance… and dz/dx = -sinh(gx/H) V = - H sinh(gx/H) where V = vertical component of cable force N = H - gz where N = tension force in the cable (MORE)

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The mathematical equation for creating a catenary curve is: y=acosh(x/a) 'a' is a variable, x and y are the axis of the graph. The steepness of the curve is invers…ely proportional to the size of the variable. To answer the question less mathematically, the "catenary solution" is one where the engineer is able to reduce tensile stress within a structure and replace it with compressive stress. Put another way, a catenary arch is massively strong under compression, and requires almost no tensile strength to remain upright. It is therefore much stronger and more stable than conventional circular arches, in the absence of reinforcing steel, which provides the tensile strength in reinforced concrete structures. Catenary arches are, and have been, widely used in the construction of kilns. Kilns are incredibly harsh environments, and the materials used to make them must withstand massive, rapid and frequent changes in temperature. Such changes tend to destroy the tensile strength of materials (things get brittle when you bake them), and so a structure possessing almost no need for tensile strength is a natural winner for building kilns. A third way of answering this question is to say "Go hang a chain from two posts." The latin word catena means "chain", and it is from the curve of suspended chains and ropes that we derive the most natural and frequent catenary curves. So the answer for the question "what is the catenary solution" is very much a question of the discipline to which it relates. It is a very poorly worded question, most likely put forward by a mathematician. Mathematics is a concise and specific language, where neat answers respond to neat questions, offering great enlightenment in the process. Regrettably, mathematicians often confuse the very complex and rich language of English for the language of mathematics, and thus ask very simple questions that they imagine will generate enlightening answers with merely a few words in response. Sadly, the English language is full of complex curves and angles, and it is never quite apparent what sort of arrangement of words might stand up in argument, and which set may fail under load. Therefore is fair to submit that the final catenary solution is prison: for the accused to be chained to a wall and hung there, as due punishment for asking simple questions about complex things. This last solution combines the three disciplines of mathematics, physics and philosophy, and so I offer it as the best all round solution for people who ask these sorts of questions. (MORE)

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In Algebra

The Catenary and Parabola are different curves that look similar; they are both "U" shaped and symmetrical, increasing infinitely on both sides to a minimum.

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In Geometry

One is the "Gateway To The West" arch in St. Louis, Missouri. It is also possible McDonalds Restaurants have a double inverted catenary arch shape. It resembles a letter M in …script form. (MORE)

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In Uncategorized

Catenary taping is where tape measurements are mage above the ground suspended between tripod. corrections have to be made for the sag of the tape from the horizontal. Usi…ng this method makes measuring over uneven ground easier. (MORE)

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Catenary is the curve formed by the Turbine Rotors when they are placed on their respective Bearings.The level of each bearing and its housings are ear marked or indicated by …the manufacturer of turbines.At the time of erection this is to be followed by laser alignment or by piano wire,water level etc (MORE)

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In Uncategorized

A catenary is the curve formed by slack wire - telephone cables are a good example. So a catenary tow is one where, simply put, the towline is attached to shackles of anchor c…able in order to ensure that a belly of towline (providing spring) hangs between the two ships. (MORE)

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In Technology

In Turbine position of bearing and is alignment are different, with reference to catenary curve & load on the bearing position of different bearings are decided.

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The general formula of a catenary is y = a*cosh(x/a) = a/2*(e x/a + e -x/a ) cosh is the hyperbolic cosine function

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Amtraks newer system, from New York to Boston, is 60 cycle 25,000 volts. The system south of New York is 25 cycle 13,000 volts.