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Rotation

A truss hinge...

Question

A truss hinged at A and supported on rollers and D is loaded as shown in the figure below.The force in member BC is

6.6

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Solution

The correct option is A 6.6

The reaction at roller D is perpendicular at roller support,since angle $45^{\circ} so R_{1} = R_{2}$

Taking moment about point A

$5 \times 3 + 2 \times 6 = R_{1} \times 9 - R_{2} \times 4$

$R_{1} = R_{2} = 5.4 k N$

Cutting at section 1-1 and taking moment about F

$F_{B C} \times 4 = 5.4 \times 6 - 2 \times 3$

$F_{B C} = 6.6 k N$

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