The cantilever beam ACB shown in the figure supports a uniform load of intensity q throughout its length. The beam has moments of inertia I2 and I1 in parts AC and CB, respectively.
(a) Using the method of superposition, determine the deflection δB at the free end due to the uniform load.
(b) Determine the ratio r of the deflection δB to the deflection d1 at the free end of a prismatic cantilever with moment of inertia I1 carrying the same load.
(c) Plot a graph of the deflection ratio r versus the ratio I2/I1 of the moments of inertia. (Let I2 /I1 vary from 1 to 5.)

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