The A series of barre chords (sometimes referred to as B series chords) is similar to the E series, except the bar chords are based off of the A chord.

The root note of the A series barre chord is the note on the fifth string. The low E string is usually not played.
This is not a hard and fast rule because extending the bar adds a fifth note, which can be added to the major or minor chord, but it is not actually required.
Here is the B Major Barre Chord Shape

September 5, 2008 at 7:48 pm | Learn Guitar Chords | 3 comments
[...] Another thing to note is that there are no open strings in the chord. This allows you to use the diminished chord shape in the same way as a barre chord. [...]
[...] scale shape is movable up and down the guitar neck, similar to the way a barre chord can be [...]
I might add that it really takes time to learn barre chords so for beginners out there, do not get frustrated with your first session. Here a list of additional tips – learning barre chords.
Nice tutorial btw. Keep it up!