I agree with HTURKAK...find a fabricator who specializes in these. They'll likely have a specialist they use. Never fun to point a client to a different engineer, but for this kind of stuff it can be prudent.
Like a general practitioner sending you to a cardiologist. They know what the heart is, generally what to do to keep it healthy, and they know when something's wrong, but a cardiologist knows how to fix it.
You're the general practitioner who can design a stair when he needs to...the cardiologist is the guy who designs three custom stair cases per day.
That's not to say you can't do it...but there are plenty of issues, particularly with steel stairs. I could see vibration being a bit of a challenge in something like that. Start with the AISC design guide on steel stair design. Other than that, you'll need FEM as dik mentioned and you'll need to dust off some numerical methods to evaluate the shape and check your model.