btw the right side beam is only sitting on 3" of support , the left side has almost 32"

Currently they are just sitting on 2x4... we were going to anchor them in with lag screws unless a better way? There should be no additional load on this countertop...

I have built an outdoor kitchen and trying to figure out if these beams will be sufice enough these are 10' 9" beams with 7' 9" floating 2x2 14guage tubular...