Problem $1$c$.2$

The rigid beam $AB$ is supported by a fixed support at $A.$

The cable at $D$ forms an angle $$ from horizontal, travels

over the frictionless pulley at $E,$ and supports the

counterweight $W,$ as shown.

There is a vertical load applied at $B$ and a concentrated

couple$-$moment acting at $C.$ The load at $D$ is

perpendicular to the beam.

In this case, the weight of the beam itself can be

considered negligible compared to the other forces.

Determine the support reactions provided by the fixed

support for:

$($a$)W=500N$

$($b$)W=5kN$

Answers:

$($a$)$ For $W=500N$:$,M_A=9\mathrm{.}32kN*m$;$,R_A=(0\mathrm{.}183e_1+2\mathrm{.}271e_1)kN$

$($b$)$ For $W=5kN$:$,M_A=-1\mathrm{.}30kN*m$;$,R_A=(4\mathrm{.}530e_1+1\mathrm{.}106e_1)kN$