Please Answer the follwing A $4$ m long T$-$beam crane is counterbalanced by a uniform load $($w$)$ of $75$ kN$/$m$.$ The beam is simply supported by two roller supports installed at a distance of $3$ m from each other. A hoist mechanism attached at the end of the beam is carrying a load $($F$)$ of $110$ kN$,$ see Figure $1.$ The material of the beam is S$460$ steel.

Answer all questions by providing detailed calculations and justifications. $1)$ Reactions in both support