고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.5-24

5.5-24 A cantilever beam $AB$ with a rectangular cross section has a longitudinal hole drilled throughout its length (see figure). The beam supports a load $P = 600\text{ N}$. The cross section is $25\text{ mm}$ wide and $50\text{ mm}$ high, and the hole has a diameter of $10\text{ mm}$. Find the bending stresses at the top of the beam, at the top of the hole, and at the bottom of the beam. Given values from figure: Beam length: $L = 0.4\text{ m}$ Load: $P = 600\text{ N}$ Cross section width: $b = 25\text{ mm}$ Cross section height: $h = 50\text{ mm}$ Hole diameter: $d = 10\text{ mm}$ Hole position: Center is $12.5\text{ mm}$ from the top and $37.5\text{ mm}$ from the bottom.