Thickness of bolted plate due to eccentric loading

[enghelp2806]

How can I determine the thickness of a bolt plate, given the forces shown applied at the lug hole? I am fully aware of how to distribute the loads into each fastener, but then what? I know that the applied forces create (Mx, My, and Mz) moments as well as shear at the bolt group c.g. How can I relate those moments to the allowable strength of the plate? It seems easy enough to deal with the shear stresses, since those would just be the force in each direction divided by the shear area and then compared to the material shear strength.

 

[r13]

Simple sizing: The plate needs to satisfy all three conditions below.

1) Check bearing strength on bolt hole
2) Check shear due to Fx on line 1 - 1
3) Check bending on line 2 - 2 (or on the other side, whichever the bending is maximum)

Advanced check: Find the bolt subjects to maximum tension, check plate strength through yield line, or approximation. Note that prying action maybe in the play.