I agree in that is less common for solid slabs. Maybe short cantilevers made that way 1 side of the beam.
Respect the justification, proper assignment of the beam rebar to some width resulting in satisfactory calculated stresses and deformation may validate one such design, whilst the issues of behavior 2 way as named by benishak will still be present.
Don't forget that the loads of the notional slab need be passed to the beam axis, i.e, bending along the direction orthogonal to the beam encompasses the full extent of the floor along such line, the width of the notional beams included.