Gere & Goodno — Shear Forces and Bending Moments: Problem 4.3-3

4.3-3 Determine the shear force \(V\) and bending moment \(M\) at the midpoint of the beam with overhangs (see figure). Note that one load acts downward and the other upward, and clockwise moments \(Pb\) are applied at each support. Repeat if moments \(Pb\) are moved to the ends of the beam (Fig. b).