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I am currently working with a beam with the following cross-section:

It consist of three bended sections with the following parameters, alpha = 90 degrees, Thickness = 4 mm, Radius = 50.59 mm.

The top section consist of a small triangle and a rectangle. the triangle have a width = 4 mm and height = 2.81 mm. The rectangle have width = 4 mm and height = 19.60 mm.

The area of the profile is given by the following equation, and should be approximately 1000 mm^{2}:

I need to find the deflection of this beam, and thereby the second moment of inertia. I have allready found this to be 4273323.41 mm^{4}in Section Properties in Solidworks, but this need to be substantiated by hand calculations. Does anybody know how to calculate the second moment of inertia for such a geometry?

Best regards,

Ole

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# Second moment of inertia for a bent rectangle

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