So you're using the 2 pieces of angle iron for axle supports, like a wheelbarrow tire? I'd bolt them together with a tubing spacer that's the width of the wheel assembly and tack it where it needs to be, check the alignment again with a square or tape measure, then burn 'em in.
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Are you saying a 1/4" angle top and a 1/4" angle bottom with stubs sticking out the ends? Might be ok for a Lawn or ATV trailer. How much weight do you hope to haul on this thing.?
I also question how much weight you are hoping to haul.
Need more info. How wide is the axle? How big are the tires? How big is the trailer?
I wouldnt trust a 2x2 angle iron axle to hold more than I could lift in a wheel barrow. Angle iron over any kind of span is very weak, and has almost NO torsional rigidity.