Gentlemen:
This failure mode is rare, particularly in traditional cast insitu staircases. It most often results in cracking that is not noticed or is considered minor, and once the structure is finished (and thus the staircase is locked in) the forces are no longer large enough to cause problems. Ergo the incidence of collapse is very low. Like most rare failure modes, this is something to watch out for when "outside the norm".
Personally I start thinking about the deflectioni first whenever I see a span to depth ratio over 25, and start thinking about the abnormal when my span to depth ratio exceeds 40. At that point I start looking at everything from first principles; An approach that should catch this issue out.
BAretired:
I am curious, Sir, where you practice? If there is seismic detailing (ie: stairs discontinuous between levels), the lock-in forces are not always present to shift the bending moment envelope, and thus this cracking (Serviceability Failure) is something I have seen fairly often. Often, perhaps because the possibility of failure is not known, this cracking is overlooked as shrinkage... It looks nearly identical; It is the location that gives it away.
Ali:
I am no expert on the matter, nor do I pretend to be. That asside, looking at your detailing options, I would use B. There is no reason to be discontinuous with your top steel if you can avoid it. Stress reversals happen for all kinds of reasons, and I would want some tension steel continuous if this were to occur.
I believe your detail would address 99% of situations, with only the longest of staircases exceeding the strength of the now fully reinforced "knee" or beam-column joint area.
Regards,
YS
B.Eng (Carleton)
Working in New Zealand, thinking of my snow covered home...