The beam elements $($not beam$-$column$)$ shown below have $E=29,000$ksi and $I=350i{n}^4.$

$($a$)$ Calculate the nodal displacements and slopes $($note that there are two different

slopes at the hinge$).$

$($b$)$ Calculate the reaction forces and moments.

$($c$)$ Determine the internal forces in each element.

$($Please solve by only using matricies $<mn>3</mn><mi>)</mi>$