5/16= over 4000 lbs shear. But as Jerry says, it's not in shear. The 3/8 is.
Goach, don't dwell on the word "ream", Jerry loves that word because he actually has a big set of reamers. Who has that? Just "drill it" a little bigger if you need to. You may not.
No sane person has big, solid rivet equipment laying around the house. Just bolt it and go fishing.