고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.3-12

4.3-12 A simply supported beam \(AB\) supports a trapezoidally distributed load (see figure). The intensity of the load varies linearly from \(50\text{ kN/m}\) at support \(A\) to \(25\text{ kN/m}\) at support \(B\). Calculate the shear force \(V\) and bending moment \(M\) at the midpoint of the beam.