고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.5-27

4.5-27 The simple beam $ACB$ shown in the figure is subjected to a triangular load of maximum intensity $q_0 = 2.6 \text{ kN/m}$ at $a = 1.8 \text{ m}$ and a concentrated moment $M_0 = 400 \text{ N}\cdot\text{m}$ at $A$. (a) Draw the shear-force and bending-moment diagrams for this beam. (b) Find the value of distance $a$ that results in the maximum moment occurring at $L/2$. Draw the shear-force and bending-moment diagrams for this case. (c) Find the value of distance $a$ for which $M_{max}$ is the largest possible value. Given: $L = 2.1 \text{ m}$, $q_0 = 2.6 \text{ kN/m} = 2600 \text{ N/m}$, $M_0 = 400 \text{ N}\cdot\text{m}$.