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# Online Calculator: Catenary

{CalQlata © 01/01/20}

## Help

### Axial stiffness

### Bending stiffness

## Downloadable Version

This **Catenary** calculator is accessible from anywhere in the website using the shortcut key; "Alt" + "y".

The "**Reset**" button clears all calculations on the page and reinstalls default values (this button may not respond in the FireFox browser).

Reset can also be achieved by pressing the "F5" key.

Hover your cursor over the symbols for an associated description.

The vertical tension (T_{y}) in either end of a catenary is the weight of the cable (or chain) supported by that end.

If the vertical tension at either end is negative, the end concerned is pulling down, i.e. the catenary is tight; there is no loop.

If you want to create a tight loop, you can either enter a negative value for T_{2}, or enter a positive value for 'T_{2}' that generates a vertical tension (T_{y2}) greater than the total weight of the cable (T_{y2} > w.L)

Axial stiffness is the amount of growth in a cable due to axial tension. True catenaries only occur in cables with infinitely high axial tension, such as in a chain.

This is because the weight per unit length of a cable that stretches under tension will vary along its length in a catenary, invalidating the calculation formula.

In practice, if a cable stretches less than 1% over its entire length, whilst inaccurate, the catenary calculation remains valid.

Bending stiffness will prevent a true catenary from occurring because it influences both horizontal tension and local bend radii; whilst the vertical tensions will be correct, the shape will be incorrect.

Just like axial stiffness, catenary calculations involving cables with low levels of bending stiffness will remain valid.

Full downloadable versions of this calculator is available from this website at; Catenary.

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