A beam ABCDE has simple supports at B and D and symmetrical overhangs at each end (see figure). The center span has length L and each overhang has length b. A uniform load of intensity q acts on the beam.
(a) Determine the ratio b/L so that the deflection δC at the midpoint of the beam is equal to the deflections δA and δE at the ends.
(b) For this value of b/L, what is the deflection δC at the midpoint?

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9 IO