고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.5-37

4.5-37 The inclined beam represents a ladder with the following applied loads: the weight (\(W\)) of the house painter and the distributed weight (\(w\)) of the ladder itself. (a) Find support reactions at \(A\) and \(B\); then plot axial force (\(N\)), shear (\(V\)), and moment (\(M\)) diagrams. Label all critical \(N, V\), and \(M\) values and also the distance to points where any critical ordinates are zero. Plot \(N, V\), and \(M\) diagrams normal to the inclined ladder. (b) Repeat part (a) for the case of the ladder suspended from a pin at \(B\) and traveling on a roller support perpendicular to the floor at \(A\). Given values from the figure: - Painter weight: \(W = 670 \text{ N}\) - Ladder weight intensity: \(w = 36.5 \text{ N/m}\) - Length from \(A\) to painter: \(L_1 = 5.5 \text{ m}\) - Length from painter to \(B\): \(L_2 = 1.8 \text{ m}\) - Horizontal distance from \(A\) to \(B\): \(d = 2.5 \text{ m}\)