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There must be some sort of correlation between the diameter of kink/length of kink and stiffness, although i cannot find any info on it.
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I can't quote you formulas from my college engineering textbooks; that's been long forgotten 20 years ago. However, the thinner the necked section is, and the longer that section is, the less resistance to angular displacement (torsional rigidity) it will exhibit, and hence the softer the bar will seem...
ianc