GATE CE 2026 Set 1 — Question 39
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Structural Engineering → Determinate Structures & Energy Methods → Determinate Structures
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Question
The plane frame has a hinge and a roller support, and is loaded as shown in the figure. Both the columns have same height.
(Figure not to scale)What is the absolute value of the maximum bending moment (in kN-m) in the frame?
Correct answer
(A) 165
Solution
1.Calculate support reactions: Let A be the hinge at (0,0) and D be the roller at (4,0).
- kN (acting left).
- kN.
- kN.
- At joint B (top of left column): kN-m.
- At joint C (top of right column): (since for a roller).
- In beam BC, at mid-span (under 90 kN load): kN-m. (Alternatively from right: kN-m).
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