고체역학 (Gere) — Axially Loaded Members: Problem 2.3-6

2.3-6 Repeat Problem 2.3-4, but now include the weight of the bar. See Table I-1 in Appendix I for the weight density of steel. (Referenced Problem 2.3-4): 2.3-4 A vertical bar consists of three prismatic segments \(A_1, A_2\), and \(A_3\) with cross-sectional areas of \(6000\text{ mm}^2, 5000\text{ mm}^2\), and \(4000\text{ mm}^2\), respectively. The bar is made of steel with \(E = 200\text{ GPa}\). Calculate the displacements at points B, D, and E. Ignore the weight of the bar. Values from Figure 2.3-4: - Segment AB: \(L_1 = 500\text{ mm}, A_1 = 6000\text{ mm}^2\) - Point B: Applied load \(P_B = 50\text{ N}\) (upward) - Segment BD: Total length \(500\text{ mm}\), Area \(A_2 = 5000\text{ mm}^2\). It consists of two \(250\text{ mm}\) parts (BC and CD) with point C at the midpoint. - Point C: Applied load \(P_C = 250\text{ N}\) (downward) - Segment DE: \(L_3 = 500\text{ mm}, A_3 = 4000\text{ mm}^2\) - Point E: Applied load \(P_E = 350\text{ N}\) (downward)