GATE CE 2024 Set 1 — Question 49
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Structural Engineering → Determinate Structures & Energy Methods → Trusses (Joints & Sections)
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Question
The plane truss shown in the figure has 13 joints and 22 members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical axial rigidity. A to M indicate the joints of the truss. The truss has pin supports at joints A and L and roller support at joint K. The truss is subjected to a vertically downward force at joint H and a horizontal force in the rightward direction at joint B as shown.
(Figure NOT to scale)The magnitude of the reaction (in kN) at the pin support L is _____________ (rounded off to 1 decimal place).
Correct answer
7 to 8
Solution
The truss is statically indeterminate to the first degree (). Using structural analysis methods (like the force method or stiffness method) considering identical axial rigidity for all members, the magnitude of the reaction at pin support L is calculated. Based on the official answer key, the magnitude is approximately .
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