Gere & Goodno — Shear Forces and Bending Moments: Problem 4.3-24

4.3-24 Frame $ABCD$ carries two concentrated loads ($2P$ at $C$ and $P$ at $D$, see figure) and also a linearly varying distributed load on $AB$. Find expressions for shear force $V$ and moment $M$ at $x = L/3$ of beam $AB$ in terms of peak load intensity $q_0$, force $P$, and beam length variable $L$. Let $q_0 = P/L$.