A turbine shroud assembly, comprising: a shroud support structure with a forward support rail and an aft support rail extending radially and about a circumferential orientation, wherein the forward support rail includes a first inner periphery defining a first inner periphery surface that faces radially inward and the aft support rail includes a second inner periphery defining a second inner periphery surface that faces radially inward, wherein the forward support rail includes a forward first dovetail structure formed in the first inner periphery surface and wherein the aft support rail includes an aft first dovetail structure formed in the second inner periphery surface; and a shroud segment with a forward segment rail and an aft segment rail extending radially and about the circumferential orientation, wherein the forward segment rail comprises a first outer periphery defining a forward segment rail periphery surface facing radially outward and wherein the aft segment rail comprises a second outer periphery defining an aft segment rail periphery surface that faces radially outward, and wherein the forward segment rail includes a forward second dovetail structure formed on the forward segment rail surface periphery and the aft segment rail includes an aft second dovetail structure formed on the aft segment rail periphery surface, and wherein the forward first dovetail structure is configured to radially and circumferentially engage with the forward second dovetail structure and the aft first dovetail structure is configured to radially and circumferentially engage with the aft second dovetail structure to radially and circumferentially interlock the shroud segment to the shroud support structure. a shroud support structure with a forward support rail and an aft support rail extending radially and about a circumferential orientation, wherein the forward support rail includes a first inner periphery defining a first inner periphery surface that faces radially inward and the aft support rail includes a second inner periphery defining a second inner periphery surface that faces radially inward, wherein the forward support rail includes a forward first dovetail structure formed in the first inner periphery surface and wherein the aft support rail includes an aft first dovetail structure formed in the second inner periphery surface; and a shroud segment with a forward segment rail and an aft segment rail extending radially and about the circumferential orientation, wherein the forward segment rail comprises a first outer periphery defining a forward segment rail periphery surface facing radially outward and wherein the aft segment rail comprises a second outer periphery defining an aft segment rail periphery surface that faces radially outward, and wherein the forward segment rail includes a forward second dovetail structure formed on the forward segment rail surface periphery and the aft segment rail includes an aft second dovetail structure formed on the aft segment rail periphery surface, and wherein the forward first dovetail structure is configured to radially and circumferentially engage with the forward second dovetail structure and the aft first dovetail structure is configured to radially and circumferentially engage with the aft second dovetail structure to radially and circumferentially interlock the shroud segment to the shroud support structure.