GATE CE 2021 Set 2 — Question 49
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Structural Engineering → Determinate Structures & Energy Methods → Analysis of Cables
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Question
A perfectly flexible and inextensible cable is shown in the figure (not to scale). The external loads at and are acting vertically.
The magnitude of tension in the cable segment (in kN, round off to two decimal places) is _______________.
Correct answer
8.1 to 8.4
Solution
1.Let be the constant horizontal component of tension. Let and be vertical reactions at supports and .
2.Taking moments about ( at , at , at , at ):
3.Vertical equilibrium:
4.Moment at from left:
5.Substitute into vertical equilibrium:
6.Substitute into moment equation:
7.Vertical shear in segment :
8.Tension in :
Rounding to two decimal places, .Continue learning with Success Tracker
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