Volex Labs / Calculations / Catenary cable analysis.

Catenary cable analysis.

Enter the span, sag (or tension) and load, and Volex Anvil solves the catenary: the horizontal tension H, the maximum tension at the supports, the cable length and the sag profile — for cables under self-weight (true catenary) or a uniform load (parabolic approximation).

The sag-tension relationship follows Timoshenko's 'Theory of Structures', so the horizontal and maximum tensions match the classical closed-form results for cables and tie-backs.

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What Volex Anvil checks

Validated against the published example

Cable under load — horizontal and maximum tension Timoshenko 'Theory of Structures' §6.10; Hibbeler §5
QuantityPublishedVolex AnvilError
Horizontal tension H50.0 kN50.0 kN0.00%
Maximum tension Tmax53.85 kN53.9 kN0.09%
This case is one of 359 published checks the platform passes — the full table, with every source and every error, is public at volexlabs.com/verification.

Frequently asked

Catenary or parabola?
Both — a self-weight cable is solved as a true catenary; a cable under a uniform horizontal load uses the parabolic form.
What can I use it for?
Cable-stayed elements, tie-backs, temporary cable supports and the sag check of hangers and guys.
Is it validated?
The horizontal and maximum tensions are checked against Timoshenko — within 0.09%.
Free tier?
Yes — 10 calculations a month free; Pro (£29/month) adds unlimited runs and PDF calc sheets.

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