A method of assembling a crank assembly for a turbine engine. The turbine engine includes a valve assembly including an outer fairing and an inner fairing coupled to the outer fairing with a strut. The valve assembly further includes an annular slide valve coupled between the inner and outer fairings. The valve assembly is positioned within a duct having a radially outer duct wall and a radially inner duct wall. The method includes coupling a first arm of a crank assembly to the annular slide valve, and coupling a second arm of the crank assembly to the outer fairing such that the crank assembly controls movement of the annular slide valve and for moving the outer and inner fairings between a first operational position and a second operational position to facilitate regulating an amount of airflow channeled through the turbine engine.