Thanks for the replies and suggestions. Given what I have to work with, and that the wood spar will be attached to both the plywood sides and the floor, I'll just check with the local box stores to see what would work best just as a sealer between the spar and the steel cross member. I have the same situation with my plywood sides. They will extend down the outside of the side rails of the chassis. I had planned on using construction adhesive here too, mainly as a seal against moisture and whatever additional holding power it would provide.
The key to the body/floor attachment are the two 3/4" x 1" strips that attach to both the floor and the sides with glue and screws. And, the floor will be held in place by 13 carriage bolts through 7 gussets welded to the three 2" x 2" tubular cross members, and through 6 holes drilled through the two angle iron cross members. This is a view from the front. The angled spar is not shown in this diagram, but would run across in front of the side rail and cross member. I made one error in this diagram. The U-bolt would run up through the floor as well, holding it to the cross member.
This is a side view of the front cross member, the angled spar, the front skin and inside paneling. It shows how I would attach two U-bolts through the angled spar and floor for "insurance".
I'll just go to HD and read the labels on all of the adhesives to see what I can get that will work best.
As an afterthought, I may add some more insurance in the form of two U-bolts in front and two in back, fastening the tongue pieces and the bumper supports to those two spars.