VMI - there are numerous ways to add to your knowledge of a "mystery" beam or joist. ACI has some excellent literature on this. A few things to consider are:
1. You can use chipping hammers at midspan to reveal the bottom bars. The lower half of the concrete beam generally doesn't do anything but provide fire resistance so temporary removal can be done - with a re-patching.
2. Same goes for the top of the beam at the supports - to reveal top bars running over the beam's end supports - but this requires invading the floor area which may not be possible.
3. Chipping along the sides of beams - just to remove the side concrete to reveal the stirrups can also be done - but for older beams, shear reinforcing was not always provided as aggressively as today - so assuming only phi-Vc for shear capacity many times controls your recommendations - as it is a conservative lower limit on strength.
4. Load tests may also be performed if you have a rough idea of what the overall psf capacity is of the floor - The IBC has some descriptions on this in Chapter 17 and the ACI code has some as well (see Chapter 20 - Strength Evaluation of Existing Structures).
5. CRSI has some literature on old reinforcing bars - See CRSI Engineering Data Report Number 48 - Evaluation of Reinforcing Bars in Old Reinforced Concrete Structures.