The continuous beam shown below has a distributed load applied over span $BC$ and a point load applied at joint $D.$ The steel beam $)=(29000$ksi has second moment of area $I=600$ inch ${?}^4.$ The numerical values for the loads and beam properties should be the same as your Homework #$6$ assignment.

UNKNOWN JOINT DISPLACEMENTS $)=(4$

The beam has DKI$=4$ with unknown joint displacements shown in the figure. Numerical solution for the joint displacements, which you did in Homework #$6$ is as follows:

$D=\left[\begin{array}{c}-0\mathrm{.}0002521\\ 0\mathrm{.}00015584\\ -0\mathrm{.}01023\\ -0\mathrm{.}00029106\end{array}\right]$

Use the table of end moments and end shears for fixed$-$fixed beams to perform the following tasks by direct assembly.

Be sure to use consistent length units throughout your calculations.

Find the vertical reaction at $A.$

Find the moment reaction at $A.$

Find the vertical reaction at $B.$