I would approach this with Bin Theory. If you have Gaylords structural engineering handbook it can walk you through it. Other references are ACI 313-97 which addresses design and construction of concrete silos and stacking tubes. These all follow Jannsen theory. The hard part is going to be assuming a wall friction angle for the material against the wood, but I would probably assume something along the lines of what it would do against concrete and look at a range of numbers. With that small of a gap, the material is going to be significantly carried by vertical wall friction, so the forms will carry a lot of the vertical load.