It seems to me that at the splice you have the following:
1. Two bottom reinforcing angles, 4x4x.25" which could have a higher Fy, and maybe be a huskier angle.
2. Two web splice plates which could be thicker and longer, and one section shows no top stiffener lip, while the other section and the iso view shows a top stiffener lip, which is it?
3. Two top reinforcing angles which have a bunch of funny notches cut out of the vert. leg, and should be continuous across the splice and be about 10-12' long, but they are not.
I would look at the two sides of this bed section as two light plate girders. The top and bottom angles form a couple to take the moment and are held apart/together by the splice plate and light 10ga. bed web. In its simplest form, a first calc. would be the two angles about 14.5-15" apart, as a couple, taking the full moment. What does that axial force have to be in the angles, and can the angles take that compressive and tensile force? Then, with the lengths and bolt arrangement you have can you get those forces back into the 10ga. bed section in a rational way. Then you can start finessing all of the sections acting together, as a composite unit. While I am sure the angle reinforced horiz. cross bed splice at the top will take some compression, that’s a tough one to call because of the kinked bend right at the splice. This would be a good place for some FEA.
The idea of the four reinforcing angles and the two web splice plates spanning the splice is to develop the loads and stressed back into the formed 10ga. bed section through shear flow and shear lag; and I’m not sure the bolting layout is very well thought out to do this. I would also want to give some thought to really tensioning the bolts to provide something akin to a slip critical splice joint, maybe with some thicker backing plates. Your description, so far, is pretty short on details, dimensions, loads, moments, shears, etc. which would help give the problem more perspective/definition. Is the 10ga. bed section formed in two pieced and spliced at the middle of the section? How is that continuous lengthwise connection made?