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scmn | My bet is it won't hold. Had a 44' span on a 80' wide shed and that was a W24x104 which is 12"wide and 24"deep steel with Ixx of 3100. Scale back to 35' and you need an Ixx of 1356, make it wood becomes 24582 which is a solid beam 7.25" wide by 34.5" tall (23 ply 2x8)
Conservative Ixx on your beam is 5391 which means zxx=449. Max load with 2000psi lumber (assume structural grade is 2000psi) is 13600lbs or total load of 17.6psf (most buidling codes will be a min of 30psf). With that load, deflection will be 2-11/16" which is L/196 (typical for overhead design is L/240)
Min load should be 35 psf x 17.5×44 = 26940 thus strength wise you need to double the Zxx. Your beam is too light.
Edit to add: slap 2 layers of 2x8 top and bottom and it will be much closer to where it needs to be strength wise.
Edited by MiradaAcres 5/30/2019 00:46
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