Catenary Parameter Calculator
Self weight catenary parameter a=H/w, intrinsic actual cable weight per actual arc length; not solve span/sag condition or select tension. Actual independently established compatible SI units/model context; conditional arithmetic, not code compliance, engineering design or safe operation approval.
Description
The self-weight catenary parameter compares horizontal tension with weight per actual cable length.
The self-weight catenary parameter compares horizontal tension with weight per actual cable length.1
This tool calculates that parameter without solving a span-and-sag boundary problem or selecting tension.
When to use Catenary Parameter Calculator
Use this tool to calculate that parameter without solving a span-and-sag boundary problem or selecting tension.
How to use Catenary Parameter Calculator and how it works
- Prepare actualHorizontalTensionNewtons, actualCableWeightPerActualLength, with the units, conventions and assumptions below.
- Enter the required fields and run Catenary Parameter Calculator.
- Read result.value using the output definitions below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualHorizontalTensionNewtons | Actual Horizontal Tension Newtons. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
| actualCableWeightPerActualLength | Actual Cable Weight Per Actual Length. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
Supply positive horizontal cable tension in newtons and positive weight per actual cable length in newtons per meter. Return their quotient in meters as catenary parameter a. This does not solve support positions, tension distribution or sag.
catenaryParameterMeters=horizontalTension/weightPerCableLength Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Catenary parameter or parabolic sag in meters. | number |
{
"input": {
"actualHorizontalTensionNewtons": 4,
"actualCableWeightPerActualLength": 2
},
"output": {
"result": {
"value": 2
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Holtrop Ship Resistance Approx Calculator for a complementary operation: Holtrop-Mennen resistance analysis requires a method edition, hull coefficients and a qualified flow regime.
Use Wave Force Cage Calculator for a complementary operation: A simplified wave-force model separates inertia and drag contributions along one direction.
References
-
Catenary Parameter Calculator — tool.io
Similar or alternative tools
- Holtrop Ship Resistance Approx Calculator
Holtrop-Mennen resistance analysis requires a method edition, hull coefficients and a qualified flow regime.
- Wave Force Cage Calculator
A simplified wave-force model separates inertia and drag contributions along one direction.