고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.3-18

4.3-18 Find expressions for shear force \(V\) and moment \(M\) at \(x = x_0\) of beam \(AB\) in terms of peak load intensity \(q_0\) and beam length variable \(L\). Let \(x_0 = L/2\). Given: Cantilever beam \(AB\) of length \(L\), fixed at point \(A\) (\(x = 0\)) and free at point \(B\) (\(x = L\)). A non-uniformly distributed load acting downwards with intensity \(q(x) = q_0 \sqrt{\frac{x}{L}}\).