GATE 2019 ME (ME1) – Question 48
The shown truss comprises AB, BC, CD, AD and BD and carries 10 kN vertically downward at D. Find BC axial force magnitude (kN).
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Show answer and explanation
Correct answer: 4.98 to 5.02
Explanation
Symmetry gives 5 kN vertical support reactions. At C, the vertical component of CD is 5 kN; its 45° inclination makes its horizontal component also 5 kN. Horizontal equilibrium gives **5.00 kN tension in BC**. BD is a zero-force member at the unloaded central joint.