The below Post is for 47-55 1st series panel body truck mounting points, not sure if it applies to a 1937.
POST

Q. When I put the wood floor on the cross members with the wood blocking and rubber pads, is the wood floor shimmed to support the weight of the panel body in conjunction with the body to frame mounting points?
Yes, it is shimmed using the rubber pads. it does on a 47-55 1st series panel body truck. Picture

Assembly line Pictures

The inside rim flange of the body is what really supports the panel body.