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... I don't think this needs a center support. Perhaps a layer of class 3 rip rap below the footings (and not running all the way up to them). But o center support.
Hmm. I do think it needs a center support. It's been decades since I knew how to run the calculations, but my edu-SWAG says the girder walls are not tall enough for the loading. They'd need to be about 50% beefier (or 25% shorter) for an unsupported span.
Loading is one matter, but it would be unusual to put a pillar in the middle of a river like that. The pillar would deflect flow and lead to undercutting of the banks.