How is your application a dynamic situation?
A code that you can use is API 2C American Petroleum Institute Rules for Offshore Pedestal-Mount Cranes. The dynamic lift factor is 2.0. That may seem high, but if you are dealing with truly dynamic lifting, it is absolutely essential. This is superimposed on top of AISC's allowable stress for the member in question.
Again, I would say that you need to verify that it is actually a dynamic lift.
So, dynamic lifts require an additional factor of 2.0. And that's the answer. Just for emphasis, though, I will give theory and explanation as to why the 2.0 is justified.
Conceptualize the following situation:
1) You have a mass supported from below
2) At the same time, you have a tension member attached to the load from above.
3) All of the slack is removed from the tension member such that loading of the tension member from the mass is impending.
In this scenario, if you instantaneously remove the support from the bottom, the tension member will see a force equal to EXACTLY two times the weight of the mass. There are two (if not more) ways to analyze what happens at the time that the load is transferred from the support to the tension member. The one I like is the analysis of the spring-mass-damper system. Neglecting damping, of course, the system will oscillate for an infinite amount of time with an amplitude that corresponds to a force that is twice the weight of the mass. Damping is not neglected, so you don't get exactly 2.0 times the force in the loading scenario, but you get incredibly close to it. So close, in fact that you will have to consider it to be 2.0.
This is exactly the case that Ussuri is talking about, except that in the case of a heaving supply barge, while the crane winch is taking up slack, the mass may be moving downwards at a speed that is faster than the speed encountered during the natural frequency of the crane-mass system. This is something important for you to consider if you are dealing with truly dynamic lifts, as this will impart an inertial factor that is actually ABOVE the 2.0 dynamic factor normally encountered in a dynamic lift. This is why for heavy lifts, i.e., a lift that is at 80% of crane capacity or more, the lift will not be performed in seas above about a half a meter.
So, in that my experience has been both the design of the offshore cranes and a whole boatload (literally) of equipment that is lifted by these cranes, the 2.0 dynamic factor on top of the AISC allowable load is the design philosophy I have used. The reason that I use API 2C for the lifted items is because I believe that if that's the factor you use for the lifting equipment, it stands to reason that you should use the same factor for the lifted equipment.
If you're designing a cage, I'm sure that you know that the CG may end up anywhere, since you won't necessarily have control over how the users will load the cage. In that case, you can also look at DNV (Det Norske Veritas) 2.7-1 specification for offhsore containers, but I can almost guarantee that that would be way way overkill for a dynamic lift onshore.
What type of dynamic effects are you getting with your lift?
-T
Engineering is not the science behind building. It is the science behind not building.