고체역학 (Gere) — Applications of Plane Stress: Problem 8.3-15

8.3-15 Solve the preceding problem for a welded tank with $\alpha = 75^\circ$, $r = 450 \text{ mm}$, $t = 15 \text{ mm}$, $p = 1.4 \text{ MPa}$, $E = 200 \text{ GPa}$, and $\nu = 0.30$. [Reference from Problem 8.3-14]: A pressurized steel tank is constructed with a helical weld that makes an angle $\alpha$ with the longitudinal axis. Determine the following quantities for the cylindrical part of the tank: (a) The circumferential and longitudinal stresses. (b) The maximum in-plane and out-of-plane shear stresses. (c) The circumferential and longitudinal strains. (d) The normal and shear stresses acting on planes parallel and perpendicular to the weld (show these stresses on a properly oriented stress element).