this post was submitted on 22 Feb 2024
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Do It Yourself
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The advantage of LVLs are that
The disadvantage is that the depth will be about 1/16th of the span when using 2-3 plies.
The advantage of steel is that an I beam (W shape is what you want, for "Wide Flange Beam") will be about 2/3 the depth of an LVL. The disadvantages are
Note that nobody can properly answer your question from the data given (edit - just notice you mentioned 16' rafters below). You would need to include the span of the rafters and (at least) your location to determine the snow loads and wind loads (edit: and seismic, though it's unlikely to control for this design) for sizing the connections.
Disclaimer: I'm a structural engineer, but I'm not your structural engineer. For a long span like this I recommend contacting someone licensed in your jurisdiction to help you out.
Not their structural engineer yet!
They're our structural engineer now, Dave.
One option would be to make the beam a flush condition. To get a 16' span with rafters you're going to be using at least 2x8s. That's 7.25" deep. If you were set the top of the beam at the top of the rafters and hang them from the beam (simpson or USP hangers) that buys you some space. Now an 11.88" LVL would only stick down 5-5/8" below the bottom of the rafters. (okay, 5-3/4"-6" with the additional slope over the 5.25" of beam) I'm not saying that a 3 ply 11x88 LVL with a 2.1E, bearing in a BC6 cap on 6x6s would work for your application, but the height tolerance would seem to add up in your favor.