고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.5-30

4.5-30 The compound beam $ABCDE$ shown in the figure consists of two beams ($AD$ and $DE$) joined by a hinged connection (or moment release) at $D$. The moment release can transmit a shear force but not a bending moment. Draw the shear-force and bending-moment diagrams for this compound beam. Given values from figure: Supports: Pin support at $A$, Roller supports at $C$ and $E$. Hinge: Point $D$ (moment release). Segments: $AB = 2\text{ m}$, $BC = 2\text{ m}$, $CD = 2\text{ m}$, $DE = 2\text{ m}$. Total length $L = 8\text{ m}$. Loading at bracket (located $1\text{ m}$ from $A$): Vertical post height $= 1\text{ m}$. Horizontal arm length $= 1\text{ m}$ (extending to the right). Vertical load $P_1 = 4\text{ kN}$ downward at the end of the horizontal arm. Horizontal load $H_1 = 3\text{ kN}$ to the left at the corner of the bracket. Point load $P_2 = 2\text{ kN}$ downward at $1\text{ m}$ to the right of $D$ (midpoint of $DE$).