GATE CE 2025 Set 2 — Question 14
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Structural Engineering → Determinate Structures & Energy Methods → Influence Lines
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Question
Consider the pin-jointed truss shown in the figure. Influence line is drawn for the axial force in the member G-I, when a unit load travels on the bottom chord of the truss. Identify the CORRECT influence line from the following options:Note: Positive value corresponds to tension and negative value corresponds to compression in the member.
Correct answer
(B) [figure]
Solution
To find the influence line for the axial force in the bottom chord member , we use the method of sections. A vertical section is passed through the panel containing . The moment center for the force in is the joint opposite to it in the panel, which is joint (at m, m) if the diagonal is .
1.Reaction at A (): For a unit load at distance from , .
2.Force in G-I (): Taking moments about joint for the left part of the section:
- When the unit load is at ( m): .
- (Tension).
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