고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.5-34

4.5-34 A compound beam (see figure) has an internal moment release just to the left of B and a shear release just to the right of C. Reactions have been computed at A, C, and D and are shown in the figure. First, confirm the reaction expressions using statics; then plot shear (V) and moment (M) diagrams. Label all critical V and M values and also the distance to points where either V and/or M are zero. Given Reaction Values: \[ A_x = 0, \quad M_A = \frac{w_0 L^2}{12}, \quad A_y = \frac{w_0 L}{6}, \quad C_y = \frac{w_0 L}{3}, \quad D_y = -\frac{w_0 L}{4} \] Beam Geometry: The beam consists of three segments of length \( L/2 \) each: \( AB \), \( BC \), and \( CD \). Total length is \( 1.5L \).