A supporting structure is statically supported at point A by a floating bearing inclined at angle alpha and by a fixed bearing at point B$.$ The load is applied by a line load with the maximum q$\_0$ and an individual force $1/2$q$\_0$L$.$ The dead weight of the structure should be neglected for the entire calculation. Given: L $=11$m$,$ q$\_0=60$KN$/$m$,$ permissible tension $=185$N$/$mm$^2,$ tan alpha $=3/4.$

$($a$)$ Determine the support forces in A and B$.($b$)$ Calculate the curve of the bending moment between points C and D$.($c$)$ Determine the curve of the internal forces $($normal force, shear force, bending moment$)$ between points A and C $.($d$)$ Find a suitable IPB beam for the area between A and C$,$ taking into account the allowable stress