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The areas of use of a slotted spring are given in the work by examples of applications from the point of view of modernity and the promising development of technological structures. With the advent of the design of a slotted spring in the middle of the last century, its calculations were usually limited to calculation for compression-stretching. Torsion and bending in complex loads were neglected, stipulating this in the calculation assumptions. In connection with modern high-precision applications of a slotted spring in aerospace engineering and nuclear power, more rigorous calculation approaches are needed. For this purpose, the analytical dependences of the calculation of a slotted spring on the torque are derived. The accepted design scheme uses the generally known provisions of the theory of resistance of materials and this is illustrated in detail by author's sketches. As in the traditional approaches to calculating a slotted compression-tension spring, the outer rings are considered as separate semi-rings with fixed ends. The contribution of the associated bending of the rings and the displacement of the bridges are taken into account in calculating the total torsion angle in the proposed solution of the stress-strain state of a slotted spring under the torque load. [ABSTRACT FROM AUTHOR]