Question $1-$ Finite Element Analysis $-$ Beam Element

For all elements, EI$=20000$kNm$^(2).$ P $=28$kN and w $=22$ kN$/$m

For the beam shown in Figure Q$3$:

$($i$)$ the equivalent nodal loads due to the uniformly distributed load, w$,$ for elements $1$ and $2.$

$($ii$)$ the vertical displacement and rotation at node $2.$

$($iii$)$ Evaluate the reactions and moments at the supports.

$($iv$)$ Sketch the Shear Force and Bending Moment Diagrams.