GATE Papers >> Mechanical >> 2017 >> Question No 135

Question No. 135 Mechanical | GATE 2017

A steel plate, connected to a fixed channel using three identical bolts A, B and C, carries a load of 6 kN as shown in the figure. Considering the effect of direct load and moment, the magnitude of resultant shear force (in kN) on bolt C is


Answer : (C) 17

Solution of Question No 135 of GATE 2017 Mechanical Paper

$ \begin{array}{l}\mathrm{Primary}\;\mathrm{force}\;\left({\mathrm\rho}_\mathrm P\right)=\frac63=2\;\mathrm{kN}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;{\mathrm r}_3=0\\\mathrm{Secondary}\;\mathrm{force}\;\left({\mathrm\rho}_\mathrm S\right)\\\frac{{\mathrm\rho}_{\mathrm S\;1}}{{\mathrm r}_1}\left({\mathrm r}_1^2+{\mathrm r}_2^2+{\mathrm r}_3^2\right)=\mathrm P\times\mathrm L\\{\mathrm\rho}_{\mathrm S\;1}=\left(\frac{6\times250}{50^2+0^2+50^2}\right)\times50\end{array} $

On both C; shear force and primary force are in same direction

So, Resistance force $ {\mathrm\rho}_1+{\mathrm\rho}_{\mathrm s\;1}=17\;\mathrm{kN} $

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