To Allen Miller and AGHRMatt: I do believe that 1 x 2 boards would be sufficient and I also like the "shape" of the parabolic support. I can do a revision to my drawing and it would meld both ideas together. I would build the supports from 1 x 4 boards. The middle 18" would be the thickness of a 1 x 2. This would give me the height I need to walk under without hitting my head. From each end of the 18", it would curve out to the far left and right ends of the 1 x 4) at a height of 3.5". The curve on each end would give the bridge a nicer look.
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