A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C as shown. Let RAh and RBh be the horizontal reactions at supports A and B, respectively, and RAv be the vertical reaction at support A. Self-weight of the member may be ignored.Which one of the following sets gives the correct magnitudes of RAv, RBh, and RAh ?

Question

A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C as shown. Let RAh and RBh be the horizontal reactions at supports A and B, respectively, and RAv be the vertical reaction at support A. Self-weight of the member may be ignored.Which one of the following sets gives the correct magnitudes of RAv, RBh, and RAh ?

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

1.	A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C as shown. Let RAh and RBh be the horizontal reactions at supports A and B, respectively, and RAv be the vertical reaction at support A. Self-weight of the member may be ignored.Which one of the following sets gives the correct magnitudes of RAv, RBh, and RAh ?
A.	\({R_{Av}} = 0;{R_{Bh}} = \frac{1}{3}P;and\;{R_{Ah}} = \frac{2}{3}P\)
B.	\({R_{Av}} = 0;{R_{Bh}} = \frac{2}{3}P;and\;{R_{Ah}} = \frac{1}{3}P\)
C.	\({R_{Av}} = P;{R_{Bh}} = \frac{3}{8}\;P;and\;{R_{Ah}} = \frac{{1.5}}{8}P\)
D.	\({R_{Av}} = P;{R_{Bh}} = \frac{{1.5}}{8}P;and\;{R_{Ah}} = \frac{{1.5}}{8}P\)
Answer» E.

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