GATE CE 2014 Set 2 — Question 45
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Structural Engineering → Determinate Structures & Energy Methods → Analysis of Cables
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Question
The tension (in kN) in a 10 m long cable, shown in the figure, neglecting its self-weight is
Correct answer
(B) 75
Solution
1.Geometry of the cable:
Total length of cable .Horizontal span .
Since the load is at the center and supports are at the same level, the cable is symmetric.
Length of each half of the cable .
Horizontal distance for each half .
Vertical sag .
2.Equilibrium at the load point R:
Vertical reaction at each support .Taking moments about support P for the left half:
.
3.Tension in the cable:
The tension is constant in each segment and is maximum at the supports..
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