A beam with simple supports at $B$ and E is loaded as shown. Given that $P_1=15kN,P_2=9kN,P_3=7kN,w_1=18k\frac{N}{m},w_2=25k\frac{N}{m},$

$a=b=c=1m,d=e=2m,$ and $f=0\mathrm{.}4m,$

$EI=20{10}^{3}kN{m}^2$

$($a$)$ Calculate reaction force at E $.$