I am experimenting with something and need to sort out the loads on the chains to adjust a sprocket ratio at the motor I am using to be able to provide enough torque. I never have tried any calculations like this. I want to first calculate how many lb's of static force would be on the chain assuming for simple math a 2" OD chain sprocket and a 3/4" ball screw with Lead = .25 ( 4 turns per inch travel). Basically under the load, how much lbs is required to hold the weight suspended if I were to reach out a grab the chain. If I can get that then I can sort out the rest ie type of chain to support load, motor torque in oz-in etc. I am trying to first understand what are the factors to consider to arrive at the load on the chain between the two ball screws supporting the load.
The image shows a simplified design. Two ball screws support the load. A chain is attached at the bottom on 2 sprockets that for now are 2" OD.