An engineer designs a cable of a suspension bridge that hangs in the form of a parabola, the towers supporting the cable are 360 meters apart. The cable passes over the supporting towers at a height of 80 meters above the roadway and the lowest point of the cable is 10 meters above the roadway. Find the lengths of the vertical supporting rods from the cable to the roadway at intervals 60 meters from the center of the bridge to a supporting tower.
Answer:
Step-by-step explanation:
given,
radius of steel cable , R = 1.5cm or 0.015m
maximum stress is not to exceeded 10^8 N/m²
so, maximum stress = 10^8 N/m²
we know, stress = applied force/cross section area.
so, maximum stress = maximum force or load/cross section area
or, maximum load can support the cable = maximum stress × cross sectional area.
cross sectional area = ?r² = ?(0.015)² m²
so, maximum load can support on the cable = 10^8 × ?(0.015)²
= 7.065× 10? N
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