Overhead Wire Sag & Tension Calculator

Calculate sag and tension for overhead conductors at a given span and temperature

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Overhead line workers and utility designers need to know how far a conductor will droop at the middle of a span so the wire keeps legal clearance over roads, driveways, and other circuits. This calculator returns midspan sag and the horizontal tension that produces it, for common ACSR, all-aluminium, and copper conductors.

How it works

A conductor hung between two poles takes the shape of a catenary, but for ordinary distribution spans a parabola is an excellent and far simpler approximation. The midspan sag is:

D = w x L^2 / (8 x T)

where w is the conductor weight per foot, L is the horizontal span, and T is the horizontal tension. The length of wire actually consumed by the span is slightly more than the straight-line distance:

S = L + 8 x D^2 / (3 x L)

The difference, S - L, is the slack you must pull in when sagging the line.

Temperature, clearance, and notes

Conductors expand as they heat, so tension falls and sag grows on a hot summer afternoon. The tool applies a first-order correction using the metal’s coefficient of linear expansion to estimate service-temperature sag from your stringing-temperature tension. Always size sag for the worst case: maximum operating temperature for clearance, and maximum ice and wind for structural loading. Verify the final numbers against NESC clearance rules and a full sag-tension program before stringing.

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