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Consider the plane truss with load $\mathrm{P}$ as shown in the figure. Let the horizontal and vertical reactions at the joint $\mathrm{B}$ be $\mathrm{H}_{\mathrm{B}}$ and $\mathrm{V}_{\mathrm{B}}$, respectively and $\mathrm{V}_{\mathrm{C}}$ be the vertical reaction at the joint $\mathrm{C}$.
Which one of the following sets gives the correct values of $\mathrm{V}_{\mathrm{B}}, \mathrm{H}_{\mathrm{B}}$ and $\mathrm{V}_{\mathrm{C}}$ ?


(A) $\mathrm{V}_{\mathrm{B}}=0 ; \mathrm{H}_{\mathrm{B}}=0 ; \mathrm{V}_{\mathrm{C}}=\mathrm{P}$
(B) $\mathrm{V}_{\mathrm{B}}=\mathrm{P} / 2 ; \mathrm{H}_{\mathrm{B}}=0 ; \mathrm{V}_{\mathrm{C}}=\mathrm{P} / 2$
(C) $\mathrm{V}_{\mathrm{B}}=\mathrm{P} / 2 ; \mathrm{H}_{\mathrm{B}}=\mathrm{P}\left(\sin 60^{\circ}\right) ; \mathrm{V}_{\mathrm{C}}=\mathrm{P} / 2$
(D) $\mathrm{V}_{\mathrm{B}}=\mathrm{P} ; \mathrm{H}_{\mathrm{B}}=\mathrm{P}\left(\cos 60^{\circ}\right) ; \mathrm{V}_{\mathrm{C}}=0$



Question ID - 156286 | SaraNextGen Top Answer

Consider the plane truss with load $\mathrm{P}$ as shown in the figure. Let the horizontal and vertical reactions at the joint $\mathrm{B}$ be $\mathrm{H}_{\mathrm{B}}$ and $\mathrm{V}_{\mathrm{B}}$, respectively and $\mathrm{V}_{\mathrm{C}}$ be the vertical reaction at the joint $\mathrm{C}$.
Which one of the following sets gives the correct values of $\mathrm{V}_{\mathrm{B}}, \mathrm{H}_{\mathrm{B}}$ and $\mathrm{V}_{\mathrm{C}}$ ?


(A) $\mathrm{V}_{\mathrm{B}}=0 ; \mathrm{H}_{\mathrm{B}}=0 ; \mathrm{V}_{\mathrm{C}}=\mathrm{P}$
(B) $\mathrm{V}_{\mathrm{B}}=\mathrm{P} / 2 ; \mathrm{H}_{\mathrm{B}}=0 ; \mathrm{V}_{\mathrm{C}}=\mathrm{P} / 2$
(C) $\mathrm{V}_{\mathrm{B}}=\mathrm{P} / 2 ; \mathrm{H}_{\mathrm{B}}=\mathrm{P}\left(\sin 60^{\circ}\right) ; \mathrm{V}_{\mathrm{C}}=\mathrm{P} / 2$
(D) $\mathrm{V}_{\mathrm{B}}=\mathrm{P} ; \mathrm{H}_{\mathrm{B}}=\mathrm{P}\left(\cos 60^{\circ}\right) ; \mathrm{V}_{\mathrm{C}}=0$

1 Answer
127 votes
Answer Key / Explanation : (B) -

$\mathrm{V}_{\mathrm{B}}=\mathrm{P} / 2 ; \mathrm{H}_{\mathrm{B}}=0 ; \mathrm{V}_{\mathrm{C}}=\mathrm{P} / 2$

127 votes


127