고체역학 (Gere) — Applications of Plane Stress: Problem 8.3-13

8.3-13 A cylindrical tank with diameter \( d = 300\text{ mm} \) is subjected to internal gas pressure \( p = 2\text{ MPa} \). The tank is constructed of steel sections that are welded circumferentially (see figure). The heads of the tank are hemispherical. The allowable tensile and shear stresses are \( 60\text{ MPa} \) and \( 24\text{ MPa} \), respectively. Also, the allowable tensile stress perpendicular to a weld is \( 40\text{ MPa} \). Determine the minimum required thickness \( t_{\min} \) of (a) the cylindrical part of the tank and (b) the hemispherical heads.