Trying to determine the bending stiffness (2nd moment of area, or section modulus, etc) for this non-straight beam. Part is basically a corrugated piece of sheet metal.
Interested in stiffness when part is loaded a la:
More precisely, I want to determine how the stiffness varies with changes in dimension "D".
I suppose I could run a bunch of simple mechanica/Simulate analyses, while varying dimension "D", then extrapolate the correlation between stiffness and "D". This might suffice in the end... However I'm wondering if anyone has insight into a more direct (analytical, symbolic) approach
Any ideas on how to figure this out would be greatly appreciated!
Re: Area moment inertia, curved, non-straight beam
My initial simplification would be that the compliance (= 1/stiffness) increases in proportion to the total length of the sheet metal - a bit like a clock spring. This may not be exact, as the bending moment varies linearly along the 71" and not along the 'developed' length of the sheet, but it should give a good first indication.