Turbine shroud segments with damping strip seal assemblies

A turbine shroud assembly for use with a gas turbine engine, the turbine shroud assembly comprising:

• a first shroud segment including a first carrier segment arranged circumferentially at least partway around a central axis and a first blade track segment coupled with the first carrier segment to define a portion of a gas path of the turbine shroud assembly, the first carrier segment having an outer wall, a first flange that extends radially inward from the outer wall, a second flange axially spaced apart from the first flange and extending radially inward from the outer wall, a third flange that extends radially inward from the outer wall and is located axially between the first flange and the second flange, and a fourth flange that extends radially inward from the outer wall and is located axially between the third flange and the second flange,
• a second shroud segment including a second carrier segment arranged circumferentially at least partway around a central axis and a second blade track segment supported by the second carrier segment, and
• a damping strip seal assembly having a body segment that engages a radial outer surface of the first blade track segment and a damping segment that engages a radial outer surface of the body segment and at least one of the third flange and the fourth flange of the first carrier segment to urge the body segment radially inward toward the radial outer surface of the first blade track segment.

A method of assembling a turbine shroud assembly for use with a gas turbine engine comprising:

• assembling a first shroud segment by coupling a first blade track segment with a first carrier segment to support the first blade track segment radially inward of the first carrier segment, the first carrier segment having an outer wall, a first flange that extends radially inward from the outer wall, a second flange axially spaced apart from the first flange and extending radially inward from the outer wall, a third flange that extends radially inward from the outer wall and is located axially between the first flange and the second flange, and a fourth flange that extends radially inward from the outer wall and is located axially between the third flange and the second flange,
• assembling a second shroud segment by coupling a second blade track segment with a second carrier segment to support the second blade track segment radially inward of the second carrier segment,
• providing a damping strip seal assembly that includes a body segment and a damping segment,
• locating the body segment of the damping strip seal assembly on a first radial outer surface of the first blade track segment, and
• sliding the damping segment onto a radial outer surface of the body segment and axially between the first flange and the second flange so that the damping segment engages at least one of the first flange, the second flange, the third flange, and the fourth flange.