Early versions of CAESAR II just computed those values, and you had to manually include them in the input. As of v.5.30, at the bottom of the API-650 input dialog there is a "drop list" where you can specify which displacement vector you want these values included in.

If you select "D1" for instance, you can see the displacements in the input (at the specified node) after the first Error Check. The reason you would want to include these deflections in your analysis is because this nozzle movement does move the attached piping (filtered by the nozzle stiffnesses of course).