a$($m$)=3\mathrm{.}0$

b$($m$)=5\mathrm{.}0$

c$($m$)=4\mathrm{.}0$

permanent load PL$1($kN$)=40$

Variable load PL$1($kN$)$

Permanent Load PL$2($kN$)$

Variable Load PL$2($kN$)=90$

Proposed size sectionnsize UKB$=533$ x $210$ x $109$

a$)$ calculate desifn load, reaction at supports, the maximum shesr force and bending moment on the beam

answer: design reaction at A $=173\mathrm{.}3$ kN

Design reaction D $=185\mathrm{.}3$ kN

Design Moment @B $=519\mathrm{.}8$kNm

Design Moment @C $=741\mathrm{.}0$ kNm

Max Design Shear $=185\mathrm{.}3$kN