What Is Catenary

The catenary is similar to parabola figure 1.

Say so doja cat lyrics clean. Illustrated definition of catenary. The messenger wire is terminated at the portal while the contact wire runs into the overhead conductor rail profile at the transition end section before it is terminated at the portal. Dramatic swings in temperature both hot and cold can cause the catenary wires to expand and contract.

Catenary synonyms catenary pronunciation catenary translation english dictionary definition of catenary. A curve made by a cable or chain when supported at its ends. Catenary in mathematics a curve that describes the shape of a flexible hanging chain or cablethe name derives from the latin catenaria chain.

Catenary definition the curve assumed approximately by a heavy uniform cord or chain hanging freely from two points not in the same vertical line. Mathematically the catenary curve is the graph of the hyperbolic cosine function. The catenary is also called the alysoid chainette or particularly in the materials sciences funicular.

Catenary the equation for this catenary with a as the y intercept is y a 2. The second wire is straight and level parallel to the rail track suspended over it as the roadway of a. The catenary wire typically comprises messenger wire also called catenary wire and a contact wire where it meets the pantograph.

Any freely hanging cable or string assumes this shape also called a chainette if the body is of uniform mass per unit of length and is acted upon. It follows the function. The catenary system provides electrical power to these trains allowing them to move quickly up and down the corridor.

In extreme cold or heat the tension that supports the catenary wires increases or decreases tremendously as they contract. The catenary is a plane curve whose shape corresponds to a hanging homogeneous flexible chain supported at its ends and sagging under the force of gravity.