A prismatic bar AB of length L, cross-sectional area A, modulus of elasticity E, and weight W hangs vertically under its own weight (see figure).
(a) Derive a formula for the downward displacement δC of point C, located at distance h from the lower end of the bar.
(b) What is the elongation δB of the entire bar?
(c) What is the ratio β of the elongation of the upper half of the bar to the elongation of the lower half of the bar?

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