Shroud segment and assembly for a turbine engine

A method for making a turbine engine shroud segment comprising a shroud segment body including a radially inner surface arcuate at least circumferentially, a radially outer surface, a first plurality of spaced apart axial edge surfaces connected with and between each of the inner and outer surfaces, and a second plurality of spaced apart circumferential edge surfaces connected with and between each of the inner and outer surfaces,

• the shroud segment including a shroud segment projection, for carrying the shroud segment body, integral with and projecting generally radially outwardly from the shroud segment body radially outer surface;
• the projection being positioned on the shroud segment body radially outer surface at a generally midway surface portion between at least one of the first and second plurality of edge surfaces;
• the projection comprising a projection head spaced apart from the shroud body radially outer surface, and a projection transition portion having a transition surface, the projection transition portion being integral with both the projection head and the shroud body radially outer surface, the transition portion being smaller in cross section than the projection head in at least one of the axial and circumferential directions comprising the steps of:
• determining operating forces acting during engine operation on the shroud segment body as a result of a combination of temperature differential and pressure differential between an air cooled radially outer surface and the radially inner surface exposed to a flowstream of the turbine engine;
• and,
• selecting the position of the projection on the midway surface portion substantially to reduce the operating forces acting on the projection carrying the shroud segment body.