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A truss is co...

Question

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

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Solution

By symmetry, force in member AB and CD be same

$B y s y m m e t r y, R_{A} = R_{C} = 5 k N$
At joint D,
Joint D,

(Compressive)

Joint C,
$5 \sqrt{2} cos 45^{\circ} = F_{B C}$
$F_{B C} = 5 k N (T e n s i l e)$

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