So using the previous derived results from the calculations for both chord length and height I found that the actual loss of displacement (buoyancy) caused by a portion of the barrel lying between two joists is about 15% or 34.27 pnds, leaving 226 of the original 260 pnds displacement.
This assumes that all of the barrel below the joists will be immersed in water which is hopefully not the case. I would rather have the dock floating inches above the water - not on top of it.
From here I can now calculate the total number of barrels needed to support dock x weight, plus a saftey factor of x, the actual dock structure weight for a total weight of 2x.
Must bear in mind that the new displacement value is for keeping the dock afloat at the water line as if the wood frame is sitting on top of the water.
Dock wt (x) is estimated at 2500 pnds. 2x (saftey factor) =5000
# barrels needed at estimated 5000 = 22 30 gal barrels.
barrel depth between joists - 4.75 in
joist spacing - 17 in.
Now to design the actual dock and weight calculations.
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