In reference to the undersized concrete pier discussed in this other question:
Is the following solution a feasible one from the standpoint of distributing load over higher number of posts? (and thus minimize digging piers)
Here is what I have in mind: the ground from the house is made of concrete that extends 7ft from the house, and only then does the soil/grass start. If you look at the diagram in the first answer of the linked question, 2/3 of that ground from the ledger board is concrete (I checked the thickness and it is at least 4 inches). So my idea is to place three 4x4 posts on that concrete (at ~6ft from and parallel to the ledger board), notched to support a (2x10?) beam. The posts will be secured to brackets bolted to the concrete floor. I believe 4x4 would be adequate for the 3 posts on concrete slab.
Again, is this a sound way to decrease load from undersize posts?