The weak link is the end grain of the existing cantilevered floor joist (non-decay resisting). I can't help but thinking the end grain will decay since it is exposed to a high moisture exterior.
Thanks for all your comments.
I have been creating assessment reports for exterior balconies here in California. I see a lot of floor joist cantilevered to create balconies. The problem is the framing is Douglas-Fir (not pressure treated or decay resistant). Over time the cantilevered portion of joist decays and the owners...