Question

An overhead transmission line at a river crossing is supported from two towers at heights of 50 m and 100 m above the water level, the horizontal distance between the towers being 400 m. If the maximum allowable tension is 1,800 kg and the conductor weighs 1 kg/m, find the clearance between the conductor and water at a point mid-way between the towers.

Answer 1

Or x = 1/2 (x2 − x1 ). In this case, x = 1/2 (378 − 122) = 128 m

Since x1 turns out to be negative, point A **** on the same side of O as B (Fig.). Distance of mid-point P from O is x = (425 + 25) = 225 m. Hence, height of P above O is

Hence, P is (50.2−14) = 36.2 m below point B. It means that mid-point P is (100 − 36.2) = 63.8 m above water level.