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The 4th power bit...
if you double the diameter, the stiffness/rigidity will increase by a factor of 2x2x2x2 = 2 to the power of 4 i.e. 16 times!
Yes, stiffeners (longitudinal fins) around the outside will stiffen it, but not as much as changing diameter. It depends on sizes and number of fins, etc.
Al.
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