Roof Rail Channel Dimensions

I have been searching here for the proper dimensions to mount a plate to the roof rails themselves and was having a hard time. Eventually I found this post on Reddit. I am copying the contents below for posterity. Hopefully it is accurate. The poster seemed to put a decent amount of time into it.

Code:
              |t|
         _______          _
        /  ___  |         |
       /  | d | | A       |
      /   |  a|_|         |
     /    |       C       H       
    /     |  b|-|         |         
   /      |___| | B       |
   |     _______|         |
   |     |                -
   |     |      G __
  _|_____|_______/  \_
   
   |------W-----|
   
   A mounting face height above channel opening            1/2"
   a interior face height above channel opening            3/8"
   B mounting face height below channel opening            5/8"
   b interior face height below channel opening            7/16"
   C channel opening height                                3/8"
   d channel interior depth                                5/16"
   t channel wall thickness                                0.103"
   H total rail height                                     1 1/2"
   W total rail width                                      1 5/8"
   G gap between channel rail and roof gutter extrusion    11/16"
   
    Cross-rail max thickness                               13/16"
    Cross-rail max width                                   2 19/32"
    
    Width between rail mounting faces across roof          40 1/2"
    Usable rail length front-to-back                       42 1/2"

    Appropriate bolt to slide into rail:                3/8" carriage bolt, with 1/2" hole in mating surface.
 
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