As kevo said, this question appears to be addressing a reinforced concrete beam. The ASD/AISC is a steel manual. so there is some confusion, however the "beam tables" included in the steel manual are generic to beam analysis and can be used to get the forces out of a beam of any type. So if your analyzing a concrete beam for example: simply supported with a concentrated load at the center - then you could use the beam tables in the steel manual to get that the maximum moment is at the center and M=Pl/4. You can then design a concrete beam to carry this moment. Is your initial post asking for the beam tables?
over/under, balanced, doubly reinforced?
"over/under, balanced" are steel reinforcing (rebar) limits to a concrete beam. Over reinforced means that steel area is greater than the maximum allowed (no ductility), under reinforced means that the steel area is below the minimum requirement. "Doubly reinforced" means that you have compression and tension (or top and bottom) reinforcing steel in a concrete beam.
Concrete can be designed by the WSD (working stress method) which takes the same approach as the steel ASD or by the Ultimate Strength Method (the same appraoch as the LRFD). FYI, it is my experience that concrete is typically designed based on ultimate strength but the WSD is still in the books.
I don't immediately recognize the format of this equation. What value is it supposed to calculate?
Hope this helps.