고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.5-14

4.5-14 The beam AB shown in the figure supports a uniform load of intensity 3000 N/m acting over half the length of the beam. The beam rests on a foundation that produces a uniformly distributed load over the entire length. (a) Draw the shear-force and bending-moment diagrams for this beam. (b) Repeat part (a) for the distributed load variation shown in Fig. b. Given for (a): - Downward uniform load \( w = 3000 \text{ N/m} \) acting over middle section of length \( 1.6 \text{ m} \). - Total length \( L = 0.8 \text{ m} + 1.6 \text{ m} + 0.8 \text{ m} = 3.2 \text{ m} \). Given for (b): - Downward triangular load with peak \( q_0 = 3000 \text{ N/m} \) at the center, acting over middle section of length \( 1.6 \text{ m} \). - Total length \( L = 3.2 \text{ m} \).