Tributary areas for triangle-patterned joists

[Hykue]

I am helping plan a hexagonal structure. The desired floor plan for the second floor has joists laid out in triangles instead of simple linear connections. If these preliminary tributary area calculations are done correctly, these joists will transmit loads to three beams instead of to only two.

Referencing the plan attached, is the tributary area as shown for each beam? Are these calculations then correct?

Load one side=23.09sqft * 55lbs/sqft = 1270lbs
total load=2540 lbs
1/2wL=2540
w=2540/12.65*2
w=401



There is also a column in the center, and the "bond beam" referenced is the inner edge of a wide concrete bond beam.

I'm having trouble figuring out if the lattice-like structure of the joists will transmit all loads equally to all three beams in each section, or if the joists will just transmit from small to large linearly, resulting in a higher load per linear foot of beam.