slope deflection method on a sidewaysExtra Problem $5$

Solve using the matrix slode deflection method and draw the bending moment and shear diagrams

$I_{\text{b}\text{e}\text{a}\text{m}}=5{10}^{7}m{m}^4$

$I_{\text{c}\text{o}\text{l}}=8{10}^{7}m{m}^4$

$E=200k\frac{N}{m}{m}^2$

Determinacy: $23+4-33=1($frame$)$

FEF

$M_{AB}^F=-\frac{w{L}^2}{12}=-\frac{(-2)4^2}{12}=2\mathrm{.}667kNm$

$M_{BA}^F=\frac{w{L}^2}{12}=-2\mathrm{.}667kNm$

$M_{BC}^F=-\frac{PL}{8}=-\frac{-103}{8}=3\mathrm{.}75kNm$

$M_{CB}^F=+\frac{PL}{8}=-3\mathrm{.}75kNm$