GATE CE 2019 Set 1 — Question 42
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Structural Engineering → Determinate Structures & Energy Methods → Analysis of Frames
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Question
The rigid-jointed plane frame QRS shown in the figure is subjected to a load at the joint R. Let the axial deformations in the frame be neglected. If the support S undergoes a settlement of , the vertical reaction at the support S will become zero when is equal to
Correct answer
(C) 7.5
Solution
For the vertical reaction at S to be zero, the vertical displacement at S due to the applied load must be equal to the settlement .
Using the unit load method or slope-deflection, the vertical displacement at S due to load at R is calculated. For the given frame configuration and properties, equating this displacement to yields .
Using the unit load method or slope-deflection, the vertical displacement at S due to load at R is calculated. For the given frame configuration and properties, equating this displacement to yields .
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