$1.$ Assuming $\backslash ($ P$=100\backslash$mathrm$\{$kN$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$L$\}=8\mathrm{.}00\backslash$mathrm$\{$~m$\},\backslash$mathrm$\{$w$\}=\backslash )\backslash (20\mathrm{.}0\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash ),$ for each of the adjacent beams.

$($i$)$ Sketch the deflected shape

$($ii$)$ Compute the support reactions

$($iii$)$ Cut as many sections as necessary at distance $\backslash ($ x $\backslash )$ from support $\backslash ($ A $\backslash ).$ For each section, draw a FBD

$($iv$)$ For each section, write equibrium eaquations. Express the shear force $\backslash ($ V $\backslash )$ and moment $\backslash ($ M $\backslash )$ at the section in terms of the variable $\backslash ($ x $\backslash )$

$($v$)$ Using the expression developed in part $($iv$)$ draw a Shear Force Diagram $($SFD$)$ and Bending Moment Diagram $($BMD$).$

$2.$ What relationship do you see between the deflected shape, and BMD$?$

$3.$ What relationship do you see between the SFD and the BMD$?$