A beam with simple supports at B and E is loaded as shown. Use the problem$-$solving technique presented to set up the solution framework using the symbolic variables in the question. Given that P$1=10$kN$,$ P$2=5$kN$,$ P$3=5$kN$,$ w$1=15$kN$/$m$,$ w$2=20$kN$/$m$,$ a$=$ b $=$ c $=1$m$,$ d$=$ e$=2$m$,$ and f $=0\mathrm{.}4$m$,$ determine the magnitude and location $($as measured from A$)$ of the maximum deflection of the beam. $=20$x$10^3$ kNm$^2$

Figure $1$

Figuur $1$