The C-shaped barre chord is nothing more than an open-position C which is moved up and down the neck. If you normally play the open C with your index, middle and ring, you will need to play it with the middle, ring and pinky to play the C-shaped barre chord. So, you form the open C anywhere on the neck, and barre down with the index.

I guess you could do this with any open chord, like a D or a G.