Control Moment Gyroscopes (CMC) have many uses, including the precision steering of spacecraft. In that application, an array of at least three CMGs is used to produce a control torque in any direction. The CMG itself contains a spinning rotor (stored angular momentum vector), which is suspended in at least one gimbal. Single-Gimbal CMGs (SGCMG) have an advantage over multiple gimbal devices in that they easily facilitate "torque multiplication." Torque multiplication describes the operation in which a small input torque from the gimbal actuator produces a much greater torque in a plane formed by the rotating momentum vector. Because the direction of the output torque is a function of the gimbal orientation, loading varies on the mechanical interface to the spacecraft. In addition, angular rotation of the spacecraft couples with the stored CMG momentum vector producing additional torque on the interface. This paper presents a set of dynamical equations in order to properly describe the loading at the mechanical interface to the spacecraft. A standard sign convention and notation is presented in addition to a projection matrix so that the CMG loading can be represented in the global (spacecraft) coordinates. The work presented demonstrates the improved fidelity of this approach in a CMG array steered rigid body spacecraft model.