PROBLEM $5(10$ points$)$: The three$-$hinge arch shown carries a uniformly distributed load of $w=16k\frac{N}{m}$ at the top chord.

Given: $a=1m,b=2m,c=2\mathrm{.}3m,d=2m,e=2\mathrm{.}2m,f=1\mathrm{.}8m,g=1\mathrm{.}6m,s_1=s_5=2\mathrm{.}5m,s_2=1\mathrm{.}8m,s_3=s_4=0\mathrm{.}8m,s_6=s_7=0\mathrm{.}75m,s_8=0\mathrm{.}6m$

$2.$ Determine the reaction at b $,$ in KN $.$

$3.2$ Determine the force in member $CF,$ in kN and indicate if tension or compression.

$4.$ Determine the force in member KI $,$ in kN and indicate if tension or compression.

$5.$ Determine the force in member HJ $,$ in kN and indicate if tension or compression.

Give me the solution and fbd$\text{'}$s