Problem $5.$ Use moment$-$distribution method to solve the following frame problem $($no side$-$sway$)$

Assuming El is a constant for all beams $/$ column:

$(1)$ Compute the distribution factors at D and fill them below. $(10$ points$)$

a$.\backslash (\backslash$mathrm$\{$DF$\}\_\{\backslash$mathrm$\{$DB$\}\}=\backslash )$

b$.\backslash (\backslash$mathrm$\{$DF$\}\_\{\backslash$mathrm$\{$DC$\}\}=\backslash )$

c$.\backslash ($ D F$\_\{$D A$\}=\backslash )$

$(2)$ Complete the distribution table below $($the DFs are from above$)$ in all shaded cells $($the fixed moments are given already$).(10$ points$)$