GATE Civil Engineering (CE) 2016 Shift 1 Solved Paper

Question : 44 of 65

Marks: +1, -0

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 R_Ah and R_Bh be the horizontal reactions at supports A and B, respectively, and R_Av 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 R_Av, R_Bh,and R_Ah ?

$R_{Av} = 0;R_{Bh} = \;{1}/{3}P;and\:R_{Ah} = \;{2}/{3}P$
$R_{Av} = 0;R_{Bh} = \;{2}/{3}P;and\:R_{Ah} = \;{1}/{3}P$
$R_{Av} = P;R_{Bh} = \;{3}/{8}\:P;and\:R_{Ah} = \;{1.5}/{8}P$
$R_{Av} = P;R_{Bh} = \;{1.5}/{8}P;and\:R_{Ah} = \;{1.5}/{8}P$

Validate

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