
Because no open strings are involved, barre chords can be moved to various positions on the neck, without changing their structure. This is what is refered to as a movable shape.
Barre chords are based off of open chord shapes. The 2 most common types are E form (6th string root), and A form (5th string root).
Form:
A form (based off of an open A maj7 shape)
Voicing:
R,5,7,3,5
* R = Root