Each gear has a tangential force applied at the pitch radius by a mating gear. The bearing...

Each gear has a tangential force applied at the pitch radius by a mating gear. The bearings are located near each gear so that the loads on the shaft are primarily torsional. The number of teeth on a gear is proportional to the pitch radius of the gear. Neglect losses in the systems.

The motor in Problem 6.8 delivers 15 kW to the gear at D, which has a frequency f = 6 Hz. The working shear stress in each shaft is 55 MPa. Determine the minimum required diameters d1and d2.

Problem 6.8

The motor shown in Figure P6.8 rotates at a speed of 1780 rpm, and it delivers 15 kW to the gear at D. The shaft diameters are d1 = 20 mm and d2 = 40 mm. Determine the maximum shear stress in shaft AΒ and in shaft CD.

FIGURE P6.8