Nail spacing for U-beam

Wherever nails are located, there are two nails that attach the horizontal board to the upright boards.

Therefore, a pair of nails transmits the shear flow that exists in the highlighted area.

The shear flow that can be transmitted by two nails can be stated as:

The shear strength of the built-up beam must equal or exceed q = 198.53 lb/in. Using this value, solve for the spacing s:

round down to s = 3 in.