Tech20:
I suspect someone has done some fatigue testing on this type of equipment, but fatigue is really not the standard design philosophy for this equipment. These pieces of equipment are generally fairly conservatively designed and made by reputable manufacturers, and they are made with a factor of safety of 4 or 5 to ultimate strength or breaking strength. They are regularly proof tested to 1.25, 1.5 or 2 (or more) times their working loads. And, the thinking behind this is that the abuse they take in daily use is the real problem, rather than some fatigue issue being the problem. The dings or damage they might get in daily use causes stress raisers, or wear, or significant yielding and deformation which make them susceptible to failure. Finally, all lifting and material handling standards instruct that the equipment should be inspected regularly, maybe daily and before every significant lift for any damage or defects which might degrade their strength. Thus, fatigue is not likely the issue or the right question or criteria.