고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.5-26

5.5-26 Consider the compound beam with segments AB and BCD joined by a pin connection (moment release) just right of B (see figure part a). The beam cross section is a double-T made up from three 50 mm x 150 mm wood members (actual dimensions, see figure part b). (a) Find the centroid C of the double-T cross section (\(c_1, c_2\)); then compute the moment of inertia, [\(I_z\) (mm\(^4\))]. (b) Find the maximum tensile normal stress \(\sigma_t\) and maximum compressive normal stress \(\sigma_c\) (kPa) for the loading shown. (Ignore the weight of the beam.)