Problem $4.$

A continuous beam structure is shown below with two different loading patterns $(w_L=10\frac{K}{f}t$ and $w_D$

$=6\frac{K}{f}t).$

Beam, $1$

$\frac{1\mathrm{.}1}{4}.$

Determine the reaction forces of the beam under the two different loading patterns. These

include the reactions at $A,B,C$ and $D.(10pts)$

Set the $x$ coordinate all starting from A $.$ Analyze the structure with the loading $w_L$ and calculate

the shear and moment functions for the beam segment B$-$C$.$ Then draw the shear and the moment

diagrams for B$-$C only. $(20$ pts $)$

Analyze the structure with the loading $w_D$ and directly draw the shear and moment diagrams for

the whole beam structure. Note that the key shear, moment, and slope values must be given and

marked in the diagrams. $(20$ pts $)$