When in College I had a lecturer in Structural Engineering who told us Architects "you don't need to know how to design something to a "gnats ass", all you need is a rule of thumb that will get you approximately the same result and is quick and easy to calculate as well as easy to remember". I have always remembered that advice and it has saved me from mistakes on a number of occasions.
So when calculating the strength of tubes in bending I imagine the tube as an I beam with a top and bottom flange, each equal to a quarter of the circumference of the tube multiplied by the wall thickness. The flanges of the tube are separated from each other by the diameter of the tube, but because of the curve of the tube not all is at this distance. I use a correction factor of 0.8 which is a little more conservative than the actual .88 or thereabout. The simple bending moment formula is then used to calculate the strength.
I did a quick calculation on Arne's mast for Ingeborg and came up with comparative figures at 0.8 of 18,140 Nm and at 0.88, 19,954 Nm. The latter figure is very close to his calculated strength for his mast and is a much simpler calculation.
I hope this is of some interest/use.
All the best with the project, David