Example)
Chapter 3 Equilibrium_st.V11
As shown in Fig. 2, three loads $\vec{F}_1$, $\vec{F}_2$, $\vec{F}_3$ and a couple moment $\vec{M}$ are acting on a beam
supported by a roller and a pin joint. The mass and thickness of the beam are negligible.
(a) Draw the free body diagram for the beam.
(b) If the beam is in static equilibrium, write the equations of motion at point B.
(c) If the magnitudes of the loads and the couple moment are given as $|\vec{F}_1|=2P$, $|\vec{F}_2|=P$ and
$|\vec{M}|=2Pb$, respectively, determine the maximum magnitude of the load $\vec{F}_3$ required to keep
the beam in static equilibrium, and also determine the support reactions at points A and B.
Express your answer in terms of P and $\theta$. Use the given coordinate system.
