Question: A cantilever beam AB having rectangular cross sections with constant width and varying height hx is subjected to a uniform load of intensity (see figure).

A cantilever beam AB having rectangular cross sections with constant width and varying height hx is subjected to a uniform load of intensity (see figure).
How should the height hx vary as a function of (measured from the free end of the beam) in order to have a fully stressed beam? (Express hx in terms of the height hB at the fixed end of the beam.)

hg h. L- hB

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