고체역학 (Beer) — Stress and Strain—Axial Loading: Problem 2.29

2.29 A homogenous cable of length \( L \) and uniform cross section is suspended from one end. (a) Denoting by \( \rho \) the density (mass per unit volume) of the cable and by \( E \) its modulus of elasticity, determine the elongation of the cable due to its own weight. (b) Show that the same elongation would be obtained if the cable were horizontal and if a force equal to half of its weight were applied at each end.