A built$-$in beam is loaded and supported as shown in the figure below, where q$=4$kN$//$m$.$ The flexural rigidity of the beam is EI$.$ Use Castigilano's theorem to determine the reactions.

$($a$)$ Enter the value of reaction force at A$.$ Give the answer to four significant digits.

$($b$)$ Enter the value for reaction force at B$.$ Give the answer to four significant digits.

$($c$)$ Enter the value for reaction moment at A $.$ Give the answer to four significant figures.