Prob. $2\mathrm{.}6-10.$ A rigid, weightless beam $BD$ supports a load $P$ and is$,$ in turn, supported by two hanger rods, $(1)$ and $(2),$ as shown in Fig. P$2\mathrm{.}6-10.$ The rods are initially the same length $L=2m$ and are made of the same material. Their rectangular cross sections have original dimensions $(w_1=40mm,t_1=20mm)$ and $(w_2=50mm,t_2=25mm),$ respectively. $L_{BD}=1\mathrm{.}5m.($a$)$ At what location, $b,$ must the load $P$ act if the rigid bar $BD$ is to remain horizontal when the load is applied? $($b$)$ If the longitudinal strain in the hanger rods is $lo{n}_1=lo{n}_2=500$ when the load is $P=205kN,$ what is the value of the modulus of elasticity, $E?$