Situation $3$:

Considering the fully restrained beam shown in Figure $2$ where $E=200$GPa and $I=2{10}^{9}m{m}^4$

The beam is loaded as follows:

Concentrated moment at a point $5$ m $.$ from the left support

Load P inclined at angle $G$ with respect to the horizontal, acting at $3$ m $.$ from the right support.

The beam is supported as follows:

Fixed support at the left and right end.

If $P=85kN,M=120kNm,L=14m.,$ and $G=30$ degrees.

$1.$ Determine the horizontal reaction at support A

$2.$ Determine the horizontal reaction at support C

$3.$ Defermine the deflection at point B

$4.$ Determine the slope at point B

$5.$ Determine the maximum deflection of the beam

$6.$ If the maximum deflection is limited to $12$mm$,$ determine the diameter of the circular beam required