// multi-utility computation suite · offline · instant · precise
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eng.cable-catenary-sag Calculator
Calculates catenary cable sag, maximum tension, and horizontal tension component from cable weight, span, and sag using the exact catenary equations. Catenary theory applies when cable weight dominates — for taut cables under tension, the parabolic approximation introduces less than 1% error.
Inputs
Span M
Distance between supports (m). Longer spans experience larger bending moments — structural adequacy must be rechecked.
Sag M
Reference formula or conversion factor shown for context.
Cable Weight Kn M
Body or object weight. For health calculators, usually in kg or lbs.
Additional Load Kn M
Applied force or weight (N or kN). Divide into dead load (permanent) and live load (variable — people, wind, etc.).
Results
horizontal tension H (kN)
The tensile force or stress — the pulling force that stretches the material. Must stay below the material's tensile strength.
maximum tension T_max (kN)
The tensile force or stress — the pulling force that stretches the material. Must stay below the material's tensile strength.
actual cable length (m)
The computed linear length.
H = wL²/(8d)
Reference formula or conversion factor shown for context.
sag/span ratio
The proportional relationship between two quantities.
thermal effect
Reference formula or conversion factor shown for context.