An experimental model of a safety clutch has been developed and manufactured, which will improve the efficiency of screw conveyors by increasing the axial displacement of the driven half-clutch with a jammed working body, while reducing dynamic loads during overload. When conducting a multifactorial experiment to determine the moment of operation T of the safety clutch of a screw conveyor, the variable factors were the angle of inclination of the working body to the horizon α, the rotation frequency of the screw working body n, and the time of increase in the resistance moment То. Based on the results of experimental studies, corresponding regression equations, response surfaces, and their two-dimensional cross-sections were constructed to establish the influence of controlled factors on the moment of operation of the safety clutch under extreme operating conditions. The obtained regression equation can be used to determine the moment of clutch engagement during the transportation of bulk and lump agricultural materials by a screw conveyor.