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Yes, you can.
I'm taking a look at this now. There are definitely a lot of beams and analysis involved in this. Can you post a detailed sketch for me and I will submit an additional service offer to provide all of this analysis.
Actually, it can be simplified to 4 rings beams placed at equal spacings all around the structure. I. E. All horizontal beams, no vertical.
Does that make it easier for you?
Yes. I will assume true ring beams, without connections, just a continual beam.