고체역학 (Beer) — Torsion: Problem 3.74

3.74 Three shafts and four gears are used to form a gear train that will transmit power from the motor at A to a machine tool at F. (Bearings for the shafts are omitted in the sketch.) The diameter of each shaft is as follows: \(d_{AB} = 16 \text{ mm}\), \(d_{CD} = 20 \text{ mm}\), \(d_{EF} = 28 \text{ mm}\). Knowing that the frequency of the motor is 24 Hz and that the allowable shearing stress for each shaft is 75 MPa, determine the maximum power that can be transmitted.