List of top Applied Mechanics and Design Questions on Torsion of circular shafts

A shaft of length \(L\) is made of two materials—an inner core and an outer rim—perfectly bonded with no slip. The inner core has diameter \(d_i\), the outer diameter is \(d_o\), and the rigidities are \(G_i\) and \(G_o\) respectively. Given: \( d_o = 2 d_i \) and \( G_i = 3 G_o \). Under an applied torque, the maximum shear stresses in the outer rim and inner core are \( \tau_o \) and \( \tau_i \). Find the ratio \( \tau_i / \tau_o \) (round off to 2 decimals).