The four rigid gears, loaded as shown in the figure, are attached to a 1.63-in.-diameter steel shaft. Determine the maximum shear stress in the shaft if TA = 523 lbft, TB = 941 lbft, and TC = 1122 lbft. Use G = 12080792 psi for the shaft. Round off the final answer to four decimal places.

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Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.