QUESTION $2[30$ Points$]$

Consider a continuous beam ABCD $($see Figure Q$2)$ with a length of $15$ meters supported by four points, dividing the beam into three equal spans. This beam is subjected to a uniformly distributed load of $1\mathrm{.}5k\frac{N}{m}.$

$2\mathrm{.}1$ Calculate the moments and reactions at the supports.

$2\mathrm{.}2$ Draw the shear force and hendino moment diaorame

$20$

$[10]$