When we built our barn (24 x 32) our contractor was a civil engineer. No posts or support walls, one lally column in the basement, and no supports in the loft, all cathedral ceilings, he did a separate consultation with a structural engineer. We ended up with 10" x 12"x 24' beams 4' on center.
You might get good advice from a company that makes trusses and probably has a structural engineer on staff, or at least some good architectural software.
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