Thanks guys! I knew I would get some good feedback....
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I am not understanding why span tables are not good for what you want.
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Good question... first, because all of the tables I found were for residential loading. Obvioulsy, not what I need. Secondly, I have a degree in engineering (although not civil or architectural) and I want to see the numbers. That's in my nature.

Also, none of the span tables provide any info for sistered joists. I had no clue what the change in loading is if I doubled the joists. But the link you provided has much of the info I was looking for. Thanks!!
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Have you considered a center wall for less span?
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Yes, unfortunately the stalls are on the uphill side of the barn. So I can't do the work from under the barn, I would need to tear out the existing floor/joists in order to access the ground to dig footings. So, I'm looking at at least a week to dig/pour/cure footings, pour/cure posts, backfill, build a 26' beam, and then rebuild the floor. The horses would be very unhappy about spending a week out in the pasture overnight.

I know, who's in charge, me or them.... already had that discussion with the CFO.
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Is the 3/4 in. plywood heavy enough for horses?
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While I'd love to remake the original barn floor (full 2" hemlock planks
cut on site), that's not practical. I do have standard rubber
stall mats atop the ply. I think thats sufficient.
So, THANKS very much for the input. Looks like it will be 2x12's on 12's. I can do one stall a day and get the boys (well, they used to be boys

) back in for the evening.