Turbine shroud segment

1. A shroud segment for being incorporated in a gas turbine engine so as to suppress influence of hot combustion gas on a turbine case, the turbine case having a groove and a hook for engagement with the shroud segment, comprising:

a back plate formed in an arc shape, a front end of the back plate being supported by the groove so as to allow displacement in an axial direction of the gas turbine engine;

a slot circumferentially formed on an outer surface of the back plate, the slot being engaged with the hook so as to be immovable in the axial direction; and

a touching member integrally formed on an inner surface of the back plate for touching with a rotating turbine blade;

wherein the slot is so dimensioned as to satisfy an inequality of v<t≦(v +0.1 mm) to retain tight contact with the hook without having a C-clip, where v is a length of the hook and t is a width of the slot.

2. The shroud segment of claim 1 , further comprising:

an annular segment hook integrally formed on the front end of the back plate and projected axially forward, the segment hook being slidably engaged with the groove.

3. The shroud segment of claim 2 , further comprising:

an annular segment flange projected axially forward from an arched flange extended radially inward from the front end of the back plate for supporting an outer band of a turbine nozzle disposed in front of and adjacent to the shroud segment.

4. The shroud segment of claim 3 , wherein:

the segment flange is configured so as to satisfy an inequality of 2k to ≦ s ≦ to 2.8k, where k is a length of the segment hook and s is a length of the segment flange.