Looking over my question, I can see it wasn't clear. My main concern is the factor applied to the root of the compressive strength in both ACI and PCI when you do not know the splitting tensile strength.
According to ACI 11.2, you should multiply the f'c^1/2 by 0.75 for "all-lightweight" concrete and 0.85 for "sand-lightweight" concrete (If you do not know the splitting tensile strength). At the present time, we do not have a splitting tensile strength, so I'm looking at these factors.
The same factors are used for Lamda in PCI. I mention PCI because of their handy embed tables. What are the limitations on the lightweight concrete before these factors are not applicable?
It just seems the lighter the material, the more brittle the concrete will become and shear and pullout will be the biggest problem. I also worry about the bond of the rebar in the concrete. I would like to find any design research that anyone feels beneficial in the design of lightweight components. At present my library is restricted to the ACI code and the PCI code.
Thanks