I appreciate the help "shr", but i do not know how to upload files in this forum.

You are correct about the hinge point relative displacement. The hinges seem to be maintaining its relative position. One way to find out what I have been mentioning is to model a simple piping layout and insert a Hinge Joint using Caesar Expansion Joint Modeler. Then try to get the Expansion Joint Total Axial movements using Caesar's Expansion Joint Rating in the analysis tab.

It seems that Caesar will always report an Axial Displacement due to Lateral inspite of modeling the joint as a Hinge (with the aid of the Expansion Joint Modeler).

Is Caesar interpreting the displacements correctly for a hinged/gimbal joints? (just a guess). But will have to do a manual calculation on this and compare with the Caesar results then.