Loren Coe wrote:

with support at 32" intervals, how much load can a 2x4
support on its side?

btw, i am using 5/16"x3" lag bolts to fasten the brackets.

You might give some thought to the total load and moment on the studs
you are fastening this monster shelf to. It might be that the wall is
the weakest part of this structural system.

Fitch