고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.3-6

4.3-6 The beam $ABC$ shown in the figure is simply supported at $A$ and $B$ and has an overhang from $B$ to $C$. The loads consist of a horizontal force $P_1 = 4.0\text{ kN}$ acting at the end of a vertical arm and a vertical force $P_2 = 8.0\text{ kN}$ acting at the end of the overhang. (a) Determine the shear force $V$ and bending moment $M$ at a cross section located $3.0\text{ m}$ from the left-hand support. Note: Disregard the widths of the beam and vertical arm and use centerline dimensions when making calculations. (b) Find the value of load $P_2$ that results in $V = 0$ at a cross section located $2.0\text{ m}$ from the left-hand support. (c) If $P_2 = 8.0\text{ kN}$, find the value of load $P_1$ that results in $M = 0$ at a cross section located $2.0\text{ m}$ from the left-hand support.