고체역학 (Gere) — Applications of Plane Stress: Problem 8.4-6

8.4-6 Beam $ABC$ with an overhang $BC$ is subjected to a linearly varying distributed load on span $AB$ with peak intensity $q_0 = 2500\text{ N/m}$ and a point load $P = 1250\text{ N}$ applied at $C$. The beam has a width $b = 100\text{ mm}$ and depth $h = 200\text{ mm}$. Find the state of plane stress at point $D$ located $150\text{ mm}$ below the top of the beam and $0.2\text{ m}$ to the left of point $B$. Also find the principal stresses at $D$. Neglect the weight of the beam.