Dik
A drop panel would normally be 1.5 - 2 times the slab thickness.
Dik and Hokie
Here is a new one. RAPT accepting banded distributed!
It works for ultimate strength with a lot of redistribution. Even on Yield line theory you can probably justify it. But neither of those consider service stresses and crack control and deflections. You are providing a load path to the supports, just one that is not the elastic load path. And you cannot do a fully redistributed design or a yield line design based on an elastic FEM analysis. The analysis has to reflect the load path adopted. For rectangular column grids there is no real problem, but as soon as you have significantly offset column locations, you cannot use elastic FEM for the analysis.
In the early days of banded/distributed, the idea was to keep the stresses very low at service so the concrete was un-cracked (based on real stresses. not averages). Everything stayed elastic so there was no redistribution at service. That works as it is un-cracked and and deflections can be estimated reasonably well.
But USA designers saw that elsewhere we were doing partially prestressed design with much higher tension stresses and reinforcement to control cracking and wanted the benefits of that design logic. Once you get cracking at service with banded/distributed and especially with average moments, then it is not logical. You are getting redistribution at service that is being ignored in deflection calculations and cracking because real stresses are not being estimated as the ultimate load path is being assumed while service design must be based on the elastic load path. That is what causes it to crack in the first place.
Unfortunately some of the "experts" who have been advising the PTI and ACI on all of this over the years really did not understand what they were doing (in my opinion) and you now have the design logic that exists today all based on "I have been doing it for years and there have been no problems" logic. There was a very long "discussion" on the SEASOC webpage many years ago where I had an in depth argument with one of those people where he was justifying a multi span edge beam parallel to the distributed tendon direction carrying a 4m high cavity brick wall and used an effective flange width of about 5m (full half panel) and included all of the distributed tendons in the slab over that width in estimating the beam flexural capacity, with those tendons having the effective depth off the beam at the supports. His final justification was that he had done it on hundreds of projects and millions of sqft of floor systems, so it must be ok.
Same argument has been used to justify unbonded prestress and the design methods I mention in an earlier post for drop panel and band beam slabs. In the drop panel case, for the cases I have checked, I would estimate the design is under capacity by 15-20%. So nothing outwardly bad happens. But the client has paid for 100% capacity and has been given 80-85%.
The PTI continually says there is no inherent problem with unbonded prestress slabs and banded/distributed designs. But ask the people doing reviews and repairs on them after 10-30 years.They will tell you a different story. But they probably do not want to go into print on it as they are making too much out of doing the reports and repairs.