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Catenary Curve Graph and Expanded Excel Calculator

NOTE:

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Catenary Curve Calculator and Expanded Excel Design Equation and Calculator

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.

This web based calculator will create a Catenary Curve graph and table of data points.

Eq. 1

y = a cosh ⁡ x a

The Excel spread calculator calculates the loading on a cable that might be utilized for a zip line, bridge suspension and lifting apparatus.

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Download:  Catenary Curve Calculator and Expanded Excel Calculator

The excel application and analysis does not include the effects of:

  • wind
  • rain
  • snow
  • ice
  • sunlight and ultraviolet radiation
  • birds and animals
  • contact with trees
  • elasticity of the cable
  • expansion or contraction due to temperature
  • vibrations induced into the cable
  • slow degradation of the cable
  • rapid degradation of the cable
  • degradation of the cable before you received it
  • degradation of the cable during construction handling and mishaps
  • degradation of the cable because of fittings that are tightened onto the cable
  • Warning: Wire Rope Cables, Ropes and Chain may be subject to all of the above effects.
  • A catenary that looks good on the first day of construction may fail at a future time because of these effects. You may be responsible for not considering all degradation and future effects if the catenary fails in the future!

This analysis is not for a marine catenary in water.

Notes on attaching additional loads to a catenary:

  • For example, a hose transporting water is attached to a cable catenary.
  • The load should be attached to the cable either continuously, or attached at many equally spaced points, so that the cable continues to look like a catenary.
  • In the following three cases, a catenary analysis may or may not be acceptable, depending on how much the cable deviates from being a true catenary.
  • If the load is attached to the cable at only a few points, the cable is no longer a catenary.
  • If the load is a significantly different length than the cable, the cable is no longer a catenary.
  • If the load is not equally distributed to the length of the cable, the cable is no longer a catenary.

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