Most lifting gear components consist essentially of curved beams of very ductile material, the radius of curvature often being small in comparison with the dimensions of the beam. In addition, in rings, chain links, etc., the distribution of bending moment is not directly calculable from the values of the applied loads, but is influenced also by the condition that the centre line of the section of the component must remain continuous when under load. The design of lifting gear components requires, therefore, the determination of the bending moments, etc., set up, the calculation of the stresses due to these bending moments, etc., and the consideration of the modification to the stress system consequent upon yielding in parts of the components. The effect of the curvature of the centre line of the component on the distribution of stress is first discussed, the method of calculation for different forms of beam section being indicated, and the best form of section investigated. The effect of yielding is next considered. It is shown that, if any portion of the component yields under load, the removal of the load will leave this portion in a state of stress of opposite sign to that under which it yielded, and it is concluded that calculated stresses even as high as the sum of the yield stresses in tension and compression may be actually set up in the material as ranges of stress without causing continuous plastic deformation. The general method of calculating the bending moments in rings and links, etc., is demonstrated and comparison is made between exact and approximate methods. General formulæ for egg links (including rings and chain links), studded links, and eyebolts are obtained and typical examples, drawn from recent British Standard Specifications, are worked out. The results of tests on components designed according to the general principles of the paper are described and the use of fatigue testing both in determining the true factor of safety and as an experimental check on the calculations is demonstrated.