i am not a fan of laminated stuff. it is the glue. it acts more like a filler. to much glue = bad, not enough = bad. the nearest thing i can think of would be, cpu's in your computers, and putting a heat sink fan on the cpu. the compound ya use fills in micro areas, so there a better direct heat sinking between cpu, and the cooler. if ya put to much it gushes out, and that micro film more thickness = not able to overclock the cpu that much further. not enough, and the CPU overheats and fry's itself. for lumber, and glue, perhaps peanut butter sandwich, might be something, or a honey sandwich. (toasted even) might be closer to things.
the glue yes may hold stuff together, and fill in gaps, so the lumber is less likely to slip, but it does not really form crystals, like concrete will (older concrete is the harder it becomes). the sheering / twisting s219 getting at. yes glue helps, but transferring like end posts on a fence. is not really there, were there is a X or a / or \ at an end post to keep the end post aligned and keep it from being pulled out.
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a roll up door = seals the best, if you were to heat/cool the barn/shed, they require a bit more higher tolerances of things being square level, without battling the tracts and adjusting them.
slider doors = they are less forgiving of things out of square / level. but at same time, they do not seal as good as a roll up door.
if you went with roll up door/s i dont see how knee braces, would work without interfering with tracts of the roll up doors.
your big door on shed/barns, is were a lot of air moves, which also brings a lot of moisture, and sudden heat/cooling as the air moves around the cracks at the door. this is going to cause extra stress to the lumber around the door. causing some lumber to expand/contract more than other areas. along with causing glue to contract/expand at different rates. this puts extra stress "long term" not to mention moisture / mildew possibly to the area.
with above i am not a big fan of laminated stuff, more so plywood at the big door/s, when speaking long term. it could mean the difference part of the year a door fitting rather snug (hard to open), to loose (almost coming off the tracts). it may only be 1/2" but that is still a good amount.
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your posts for the barn, are not going to be square and perfectly level with each other, just not going to happen, there will be twsits, bends, warping going on, just how lumber is. a good carpetener knows how hide the non squareness / un eveness, almost to long or to short, and make it look good and hopefully work long term.
i still say there going to be some "side deflection" rafters, or manufactured / engineered trusses. it is the post opposite of the door/s that will also move to some amount. along with the truss pivoting. that will allow some movement at the header/beam going across the door. the 2x4's that go across the top of the trusses, so you can nail down your metal roofing. really does not give the truss that will go in or at near center of your beam much structural support.
other words the beam is going to naturally want to bend down and outwards due to load on it. and i think your still trying to avoid some of the side loading that will go on at the beam.