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too many variables here, mostly the size of the roof above it (steepness, weight of shingles, tile or slate? etc. You're best to overengineer it. A double thickness (3.5" X 12" or 16" wide) glulam will support a reasonably large roof above it, otherwise a simple double 2x12 would work for a 3/12 -6/12 pitch roof with light grade 30 year shingles.

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Q: Bearing wall carrying two sections of roof and want to put in a post and beam instead of the wall Wall is 12 ft long What size beam or glulam do you need?
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