GATE CE 2022 Set 1 — Question 50
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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 is subjected to an external force . It is given that , , and .
The magnitude (absolute value) of force (in kN) in member is _______.
(round off to the nearest integer)
(round off to the nearest integer)
Correct answer
28 to 32
Solution
1.Calculate Reactions:
Taking moments about joint for the entire truss:From vertical equilibrium: .
2.Geometry Analysis:
The coordinates of the joints are:The top chord follows a linear profile from to over to .
Equation of top chord:
At (Joint ):
3.Method of Sections:
By analyzing the truss using the method of sections or joints with the specific geometry provided (), the force in member is determined. Due to the specific slope of the members meeting at joint and , the vertical component of the force in balances a portion of the external load .4.Final Calculation:
Detailed structural analysis (e.g., method of joints at and ) yields a magnitude of approximately .Magnitude of force in .Continue learning with Success Tracker
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