The unsteady transfer functions or vibratory-exciting force and moment operators for any ship propeller are found by a procedure which employs an existing computer program. These functions can then be applied to any given radial variation of a spatially varying hull wake or inflow to yield three forces, three moments, and the blade bending moments. With these operators (which can be found once and for all for a systematic series of propellers), the task of predicting the vibratory-exciting forces and moments acting on the bearings of a particular ship is reduced to a simple calculation that can be made with a desk calculator in a matter of minutes. Thus, once a complete set of operators are obtained from the elaborate computer program, subsequent applications to any specific wakes does not require the computer program. Application of the method to a 5-bladed propeller is given in a worked example using simple formulas and tabulated values of the operators.