I planed on using the 2.5 inch tubing because...... That is what the receiver hitch on my pickup is made of and is rated for more weight. It is what a professional welding shop used on a friends camper to build a hitch and he pulls a bigger boat with it. It allows for easy gusset to the receiver because both are the same size. It has a good deflection rating for this weight per a online calculator. It allows the use and easy welding to the 3 inch channel because it fits in the channel.
After reading what Jon said I think I will change a few things because I really trust his advise over University of Nigeria advise. I am going to change the tube to 3 inch by 3/16. Same weight but less deflection over the span per online calculator. I am going to change the 3 inch channel to 1/4 inch flat. I will have to measure but I think I can get a wider piece than 3 inches inside the camper I beam and will allow for better fit to the 3 inch tube.
I am trying to keep the weight down as much as I can but I will look into adding some kind of brace like showcrop says even though I do not know what adequate RBM means.
While I do not figure it into the rating of this hitch because of the thin walls this hitch will also have a 4 inch steel tube (bumper grade) welded to the top of it. I use this to store my sewer hose.
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