I'm looking to add a 24'x24' mezzanine into an existing pole barn. Pole spacing 8' oc. I need to figure out LVL and Joist sizing. My plan is for (2) of the LVLs to span 20' one side bearing on a stud pack and the other bearing on a 2x6 bearing wall. (1) LVL will be 24' bearing on stud packs on each end and an additional bearing point at 20' So essentially ad 20' clear span with a 4' cantilever. The last could either be an LVL lagged into the posts or doubled up 2x12s lagged into the posts. Both of which will be supported with stud packs. Then running perpendicular I'll run dimensional lumber joists 16"oc. Could somebody help me with LVL sizing. Pretty sure I'll use 2x10s for the joists but would 2x8 be possible? See photo below to hopefully clarify.



