A transmission shaft supporting a spur gears B and the pulley D is shown in Fig. 2. The shaft is mounted on two bearings A and C. The diameter of the pulley and the pitch circle diameter of the gear are 450 mm and 300 mm respectively. The pulley transmits 20 kW power at 500 rpm to the gear. P1 and P2 are belt tensions in the tight and loose sides, while Pt and Pr are tangential and radial components of gear tooth force. Assume, P1 = 3P2 and Pr = Pt tan (20°) The gear and pulley are keyed to the shaft. The material of the shaft is steel 50C4 (σu = 700 N/mm2). The factors kb and kt of the ASME code are 1.5 each
Determine the shaft diameter using the ASME code