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We ran some square shafts on some sewage pumps they were a pain. Knocking out bearings and twisting in two. At high RPMs they build up some awful weird harmonics.
If you want strong stay with the round stuff and use heavier guage matierial.
The inside and outside radiuses of the round tube are much stronger because they in constant alignment with the direction of the torque applied.This is not the case with the square tube it's strength is more lateral it resists side to side torque better than the round tube.A good example of this is piston rods they have a sqaure shape to handle the side loads they encounter as they travel along their excentric path.
Just a lttle food for thought