Structural Integrity / Wall Block Physics

I am trying to implement a building system similar to 7 days to Die. I have the building system set up decently well but I am currently stumped on how I would implement the physics portion of this.

By physics portion I mean whenever supports are destroyed, the wall/building would collapse in on itself. I have started exploring the possibility of constraints and such but seem to have hit a wall.

Does anyone have any decent ideas on how one could go about coding the physics portion of this? Any ideas would be much appreciated! Cheers!

Hi Eccosan,
I want to make the same like you. Have you any solution?