Give the image in white, What would give it the most strength in terms on tubing or steel rod?
For the same diameter and ignorning mass; technically a solid steel rod is stronger, but only marginally so in most applications. Tubing will give you all the strength you need with the weight you do not. A tube allows you to increase diameter and therefore rigidity, while keeping the same mass..
Well...I'm hoping to hold 40lbs max on it. an arm on both sides connected with a base plate for a large case (helmet sized at minimum)
40 lbs is nothing to steel tubing over such a short distance, particularly if there's a tube on both sides (i.e. 2 of #1, one on each side of the bike). Your weight capacity will be decided by the attachment at 'C'. If that goes into plastic, it probably won't work. OTOH if it goes to a frame extension, you are in good shape.
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