Size of Steel UBeams needed to support a Timber Gable Roof with Trimdeck Roofing

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The job is a garage roof replacement,changing from a lean-to roof to a gable roof running from left-right,with brick walls supporting the left,right,and rear. Steel beams are needed to support the rafters in the middle,(like a ridge board),and the front,so a full width garage door can be fitted....the roof-framing will be 175x50 F14 hardwood,and Trimdeck roofing....I can get 2/200UB29 at a good price......is that size safe to use?.....James