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01-05-2016
04:01 PM

01-05-2016
04:01 PM

Area moment inertia, curved, non-straight beam

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!

Thanks

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01-06-2016
12:14 PM

01-06-2016
12:14 PM

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.