In the frame shown below, force in the member AB will be

W (Tension )

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\frac{W}{2}

(Compression )

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W (Compression)

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\frac{W}{2}

(Tension)

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Solution

The correct option is A W (Tension )
Consider joint C:
Resolving the forces horizontally at joint C
$P_{C B} = P_{C D}$
Resolving forces vertically at joint C,
$2 P_{C B} \times cos 60^{\circ} = W$
$\Rightarrow P_{C B} = W$ (Tension )
and $P_{C D} = W$ (Compression)
Resolving forces horizontally at B,
$P_{B A} = P_{B C} = W$ (tension)

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