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To calculate the maximum sag of an overhead transmission line, we can use the formula for sag in terms of span length (L), conductor weight per unit length (w), and working tension (T):
[ S = frac{wL^2}{8T} ]
Where:
– ( S ) = maximum sag
– ( w ) = weight of the conductor per unit length (kg/m)
– ( L ) = span length (m)
– ( T ) = working tension (kg)
Given:
– ( w = 0.604 , text{kg/m} )
– ( L = 220 , text{m} )
– ( T = 2879 , text{kg} )
Now plug in the values:
[ S = frac{0.604 , text{kg/m} times (220 , text{m})^2}{8 times 2879 , text{kg}} ]
Calculating the values:
1. Calculate ( (220 , text{m})^2 = 48400 , text{m}^2 )
2. Multiply by ( 0.604 , text{kg/m} ):
[ 0.604 times 48400 approx 29281.6 ]
3. Calculate ( 8 times 2879 ):
[ 8 times