GATE CE 2018 Set 2 — Question 52
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Structural Engineering → Determinate Structures & Energy Methods → Analysis of Cables
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Question
A cable PQ of length 25 m is supported at two ends at the same level as shown in the figure. The horizontal distance between the supports is 20 m. A point load of 150 kN is applied at point R which divides it into two equal parts. 
Neglecting the self-weight of the cable, the tension (in kN, in integer value) in the cable due to the applied load will be ______
Correct answer
125 to 125
Solution
Given cable length and horizontal span .
Since the load is at the midpoint R, the cable is symmetric.
Length of segment .
Horizontal distance from P to R is .
Let be the vertical sag at R. From Pythagoras theorem:
.
Let be the tension in the cable. Resolving forces vertically at R:
, where .
.
Since the load is at the midpoint R, the cable is symmetric.
Length of segment .
Horizontal distance from P to R is .
Let be the vertical sag at R. From Pythagoras theorem:
.
Let be the tension in the cable. Resolving forces vertically at R:
, where .
.
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