고체역학 (Beer) — Torsion: Problem 3.147

3.147 A cooling tube having the cross section shown is formed from a sheet of stainless steel of 3-mm thickness. The radii \(c_1 = 150 \text{ mm}\) and \(c_2 = 100 \text{ mm}\) are measured to the center line of the sheet metal. Knowing that a torque of magnitude \(T = 3 \text{ kN}\cdot\text{m}\) is applied to the tube, determine (a) the maximum shearing stress in the tube, (b) the magnitude of the torque carried by the outer circular shell. Neglect the dimension of the small opening where the outer and inner shells are connected.