A cast-iron pulley transmits 49 kW at 1,750 rpm. The shaft to which it is to be keyed is 44.4 mm in diameter. If the key width is 10 mm and allowable shearing and compression stresses are 151.6 MPa and 271.2 MPa, compute the length of the square key needed.

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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.