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How does one approach a solution for bending of a shaft having multiple diameters.

I have one particular shaft in mind that has 11 diameters to get to the midpoint.

I know the deflection at the midpoint, and I would like to calculate the force required to cause that deflection.

Since the load is a point load, The moment diagram is a nice simple triangle. I have calculated I for all sections, I just need to know how to approach the solution.

Some of the 11 sections are tapered.

Any words from the wise? Ill my equations in my bag of tricks are for uniform cross section.