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I am doing a problem for work where I use a deflected beam as a model. Basically, I am using a beam with twofixedends and a force directly in the middle. The deflection equation for this model is:

delta_max=FL^3/(192EI)

This assumesIis constant through the entire beam. However, how would I obtaindelta_maxifIis different to the left and right of the force (I_1andI_2)?

Thank you!

P.S. Please see attached images for visuals.

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# Beam Deflection Problem

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