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I need to calculate the bending stress of a tapered cantilever beam. However, I would like to know how to calculate the moment of inertia.

For a uniform shape beam, I know the I_{x}=(bh^{3})/12, but since h changes throughout the length of the beam how would inertia, I, be calculated?

I was able to figure out the height of the beam as a function of x, H(x).

Equation for H(x)= [(a-b)/L](x)+a

where;

a= height of beam at fix wall

b= height of beam at end

L= total length of beam

x= point along length of beam.

Any help would be greatly appreciated!!!

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# Tapered Cantilever Beam

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