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That depends on what it carries. All joist/beam manufacturers have span tables that will help you determine this.
Use a steel beam.. That would be code.. steel w10x15 (50ksi) I beam.
It actually depends on the type of beam it is. If it is a cantilever, the formula would be PL/2 and for a simply supported beam it would be PL/4
Depends on the loads and the properties of the beam. Consult a structural engineer.
1'*1'