GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

Question : 58 of 65

Marks: +1, -0

A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of 10 kN is applied at point D. The magnitude of force (in kN) in the member BC is ____________

Your Answer:

Validate

Solution:

Due to symmetry,

R_{A}=R_{C}=5

Considering, joint C

∑ F_{y}=0 ; F_{C D} \sin 45=5

⇒ F_{C D}=5 √{2}

Now,

Σ F_{B C}=F_{C D} \cos 45=5 √{2} × \;{1}/{√{2}}=5

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