GATE ME 2019 Set 2 — Question 30
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Engineering Mechanics → Statics → Trusses (Joints & Sections)
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Question
The figure shows an idealized plane truss. If a horizontal force of 300 N is applied at point A, then the magnitude of the force produced in member CD is ______ N.
Correct answer
0 to 0
Solution
In the given truss, the outer legs AF and AG are straight lines, meaning joints B and D lie on the line AF, and joints C and E lie on the line AG.
1.At joint B: Members AB and BD are collinear. Member BC is the third member connected to the joint. Since there is no external load at joint B, the force in member BC must be zero ().
2.At joint C: Members AC and CE are collinear. Members CB and CD are also connected to this joint. We already found . Now, at joint C, we have two collinear members (AC and CE) and one non-collinear member (CD) with no external load. Therefore, the force in member CD must be zero ().
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