A method for adjusting a clearance between a blade tip of a turbine engine and a blade track spaced radially outward of the blade tip is disclosed herein. The method includes the step of operably coupling an elongate member to a blade track in a turbine engine. The method also includes the step of directing a fluid stream having a temperature in proximity to the elongate member. The temperature of the fluid stream can change over time. The method also includes the step of transferring heat between the fluid stream and elongate member to a change a size of the elongate member and move the blade track radially relative to a centerline axis of the turbine engine. An exemplary apparatus for carrying out the method is also disclosed.