고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.5-5

4.5-5 Cantilever beam \(AB\) carries an upward uniform load of intensity \(q_1\) from \(x = 0\) to \(L/2\) (see Fig. a) and a downward uniform load of intensity \(q\) from \(x = L/2\) to \(L\). (a) Find \(q_1\) in terms of \(q\) if the resulting moment at \(A\) is zero. Draw \(V\) and \(M\) diagrams for the case of both \(q\) and \(q_1\) as applied loadings. (b) Repeat part (a) for the case of an upward triangularly distributed load with peak intensity \(q_0\) (see Fig. b). For part (b), find \(q_0\) instead of \(q_1\).