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THE FEUTEX TOOLKIT

Catenary Sag and Arc Length

Estimate the sag, total arc length and end slope of a symmetric mathematical catenary.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
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FormulaSag = a*(cosh(x/a)-1); Arc Length = 2*a*sinh(x/a); End Slope = sinh(x/a)
Sources and model references

How to use this tool

  1. Enter the labeled inputs using consistent units.
  2. Check the stated assumptions and calculate.
  3. Review each output and compare another input scenario.

Try this example

{
  "a": 10,
  "x": 5
}

Accuracy and scope

Symmetric mathematical catenary; ignores extensibility and load variations. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.