A rigid member $\mathrm{ACB}$ is shown in the figure. The member is supported at $\mathrm{A}$ and $\mathrm{B}$ by pinned and guided roller supports, respectively. A force $P$ acts at $C$ as shown. Let $R_{A h}$ and $R_{B h}$ be the horizontal reactions at supports $A$ and $B$, respectively, and $R_{A v}$ be the vertical reaction at support A. Selfweight of the member may be ignored.

Which one of the following sets gives the correct magnitudes of $R_{A v}, R_{B h}$ and $R_{A h} ?$

(A) $R_{\mathrm{Av}}=0 ; R_{\mathrm{Bh}}=\frac{1}{3} P ;$ and $R_{\mathrm{Ah}}=\frac{2}{3} P$

(B) $R_{\mathrm{Av}}=0 ; R_{\mathrm{Bh}}=\frac{2}{3} P ;$ and $R_{\mathrm{Ah}}=\frac{1}{3} P$

(C) $R_{\mathrm{Av}}=P ; R_{\mathrm{Bh}}=\frac{3}{8} P ;$ and $R_{\mathrm{Ah}}=\frac{1.5}{8} P$

(D) $R_{\mathrm{Av}}=P ; R_{\mathrm{Bh}}=\frac{1.5}{8} P ;$ and $R_{\mathrm{Ah}}=\frac{1.5}{8} P$

A rigid member $\mathrm{ACB}$ is shown in the figure. The member is supported at $\mathrm{A}$ and $\mathrm{B}$ by pinned and guided roller supports, respectively. A force $P$ acts at $C$ as shown. Let $R_{A h}$ and $R_{B h}$ be the horizontal reactions at supports $A$ and $B$, respectively, and $R_{A v}$ be the vertical reaction at support A. Selfweight of the member may be ignored.

Which one of the following sets gives the correct magnitudes of $R_{A v}, R_{B h}$ and $R_{A h} ?$

(A) $R_{\mathrm{Av}}=0 ; R_{\mathrm{Bh}}=\frac{1}{3} P ;$ and $R_{\mathrm{Ah}}=\frac{2}{3} P$

(B) $R_{\mathrm{Av}}=0 ; R_{\mathrm{Bh}}=\frac{2}{3} P ;$ and $R_{\mathrm{Ah}}=\frac{1}{3} P$

(C) $R_{\mathrm{Av}}=P ; R_{\mathrm{Bh}}=\frac{3}{8} P ;$ and $R_{\mathrm{Ah}}=\frac{1.5}{8} P$

(D) $R_{\mathrm{Av}}=P ; R_{\mathrm{Bh}}=\frac{1.5}{8} P ;$ and $R_{\mathrm{Ah}}=\frac{1.5}{8} P$

1 Answer

127 votes

$R_{\mathrm{Av}}=P ; R_{\mathrm{Bh}}=\frac{1.5}{8} P ;$ and $R_{\mathrm{Ah}}=\frac{1.5}{8} P$

127 votes

127