고체역학 (Gere) — Torsion: Problem 3.8-6

3.8-6 A stepped shaft $ACB$ having solid circular cross sections with two different diameters is held against rotation at the ends (see figure). (a) If the allowable shear stress in the shaft is 43 MPa, what is the maximum torque $(T_0)_{max}$ that may be applied at section $C$? (b) Find $(T_0)_{max}$ if the maximum angle of twist is limited to $1.85^\circ$. Let $G = 28\text{ GPa}$. From the figure provided for Problem 3.8-6: - Segment $AC$: length $L_1 = 225\text{ mm}$, diameter $d_1 = 20\text{ mm}$. - Segment $CB$: length $L_2 = 450\text{ mm}$, diameter $d_2 = 25\text{ mm}$. - Torque $T_0$ is applied at the junction point $C$.