Practice Problem on FBD

Problem $5*-$ Use FBDs to get equilibrium equation

A uniform beam $\backslash ($ A B $\backslash )$ of weight $100$ N is pinned to a wall at $\backslash ($ A $\backslash ).$ The cable BDC passes over a light pulley and is attached to the block $\backslash ($ C $\backslash )$ of weight $250$ N resting on the beam as shown. The pulley is free to rotate at E$.$ By considering the combined system $($bar$,$ block, cable, pulley$)$ and using one single equilibrium equation, find the vertical reaction at $\backslash ($ A $\backslash ).$ Then find the internal reaction force between the bloc $\backslash ($ C $\backslash )$ and the beam AB$.$ Find the bending moment and shear force at $\backslash ($ F $\backslash )$ half$-$way between $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash ).$ For the moment use $\backslash (\backslash$ell$=0\mathrm{.}5\backslash$mathrm$\{$~m$\}\backslash ).$

Ans: $\backslash (90\backslash$mathrm$\{$~N$\},120\backslash$mathrm$\{$~N$\},48\mathrm{.}8\backslash$mathrm$\{$Nm$\}\backslash$cup $\backslash )($on AF$),\backslash (40\backslash$mathrm$\{$~N$\}\backslash$downarrow $\backslash )($on AF$)$

CIVIL, ENVIRONMENTAL

$\backslash$& GEOMATIC ENGINEERING