Castigliano Theorem: Difference in Horizontal Displacement

[Apache]

What is the difference between this two types of support when we finding horizontal displacement?
Attachment is at the comment below. =D

 

[SteamKing]

Hello! Hello! It looks like you lost interest while typing your question.

 

[Apache]

Sorry, just now i failed to upload picture via mobile.
Please help me take a look, thanks!

 

[Aero_UoP]

Sorry, just now i failed to upload picture via mobile.
Please help me take a look, thanks!

4a is a fixed support.
4b is a frictionless pin or hinge.

 

[Danger]

Depending upon the method of attachment, "A" would be a lot stronger.

Oops! Hang on now... what was the original question? Did you mean what is the difference in the displacement?