고체역학 (Gere) — Applications of Plane Stress: Problem 8.3-12

8.3-12 A cylindrical tank with hemispherical heads is constructed of steel sections that are welded circumferentially (see figure). The tank diameter is 1.25 m, the wall thickness is 22 mm, and the internal pressure is 1750 kPa. (a) Determine the maximum tensile stress \(\sigma_h\) in the heads of the tank. (b) Determine the maximum tensile stress \(\sigma_c\) in the cylindrical part of the tank. (c) Determine the tensile stress \(\sigma_w\) acting perpendicular to the welded joints. (d) Determine the maximum shear stress \(\tau_h\) in the heads of the tank. (e) Determine the maximum shear stress \(\tau_c\) in the cylindrical part of the tank.