A common misconception is that there is some specific angle that you have to grind your bevels for a flat grind based on thickness or profile. The angle of the bevels can be whatever it takes to get the geometry and look you are shooting for. Start your bevel and begin working it up the blade towards the spine. When you get it where you want it, stop. Yes, if you took at 1/4" piece of stock and only ground a 1/2" tall bevel, it will be way too thick and not slice well. And a full height flat grind on a 1/4" thick blade will be more obtuse than the same grind on a 1/8" blade of the same profile. That's just part of the art of design and material selection for indented purpose. That same 1/4" full flat grind will likely function much better as a camp chopper than the 1/8" stock.
--nathan