What is the maximum sag of an overhead transmission line having a

What is the maximum sag of an overhead transmission line having a
| What is the maximum sag of an overhead transmission line having a span of 240 m between level supports, with weight of conductor is 727 kg/km and has a breaking strength of 6880 kg? Allow the factor of safety of 2 and neglect the wind and ice loading.

A. 1.52 m

B. 0.75 m

C. 1.25 m

D. 1.6 m

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

Concept:

Sag s:

The distance between the highest point of electric poles or towers and the lowest point of a conductor connected between two poles or towers.

Span length:

It is the shortest distance between two towers or poles. 

Sag \(s = \frac{{W{l^2}}}{{8T}}\)

Where,

S is the sag of the conductor

W is the weight of the conductor

l is the span length of the conductor

T is the working tension on the conductor

Calculation:

Span length = 240m

Weight of conductor = 727 kg/km

Breaking strength (Ultimate strength) = 6880kg

Weight of conductor W = 727 kg/km

= 727kg/1000m   (1km = 1000m)

w = 0.727 kg/m

working tension T

T = U / S

Where, 

U is the ultimate strength

S is the safety factor

\( = \frac{{6880}}{2}\)

T = 3440 kg

Sag \(s = \frac{{W{l^2}}}{{8T}}\)

\(\frac{{\left( {0.727 \times {{240}^2}} \right)}}{{8 \times 3440}}\)

= 1.52m

The maximum sag of an overhead transmission line is 1.52m