A method for constructing a support ring in a curved wall, in particular around an opening in a curved wall of a hot blast stove, where the method includes providing a plurality of standardized wedge-shaped bricks with side faces having tongue and groove profiles for cooperating with the side faces of the neighboring bricks, the thickness of the brick in the axial direction being in excess of the desired end thickness of the brick, and determining the intended location of each individual brick in the curved wall and determining, based on the intended location, the location of a front cut line and a rear cut line for shaping the front and rear faces of the brick, where the front and rear faces of the brick are then shaped in accordance with the above determined front and rear cut lines by a cutting tool.