Catenary Curve
Result
Y-coordinate1.000
Arc Length from Center0.000
cosh(x/a)1.0000
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Catenary Curve — free online calculator.
Formula
y = a·cosh(x/a), where cosh(u) = (e^u + e^-u)/2
- Catenary Curve calculates its result from A, Cosh X A, U. It uses the formula y = a·cosh(x/a), where cosh(u) = (e^u + e^-u)/2. Change any input to recalculate the result instantly.
- The main inputs are Parameter, X-coordinate. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Catenary Curve
Inputs
- Parameter: 1
- X-coordinate: 0
Using A = 2, Cosh X A = 3, U = 4, the calculated result is 27.308232836.
Sample result: Calculating…
Frequently asked questions
What does the Catenary Curve calculate?
Catenary Curve — free online calculator.
Which values should I enter?
Enter Parameter, X-coordinate using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: y = a·cosh(x/a), where cosh(u) = (e^u + e^-u)/2.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.