2mm float glass will be ok, unless its a 'box frame' and only supported on a small 5/6mm strip around the edge, if it has a decent width mount and the frame is made with pinned and glued joints it will be fine, if the frame is narrow, you may have a problem with the frame twisting when picked up and moved, this will stress the glass diagonally and may break it. if your worried about your corner joints put some 90deg flat brackets on them, as when the frame is hung all the weight is on the bottom frame side and joints.