1. Determine the bearing stress on the plate from the beam, not exceeding the allowable perpendicular to grain bearing stress of the wood.
2. Determine the maximum moment on the plate, either from wl^2/2 where the plate cantilevers the most, or wl^2/9 where the plate spans between the side plates.
3. Take the square root of (the moment times 12, divided by 27).
The result is in inches and is the minimum plate thickness. If the thickness is too great, make the length of the bracket longer to power the bearing stress, and recompute the thickness.
All dimensions in Kips and inches.
Mike McCann
MMC Engineering