A rectangular key was used in a pulley connected to a shaft with a power of 125 kW at a speed of 900 rpm. If the shearing stress of the shaft is 40 MPa and the key to be 22 MPa. Determine the length of the rectangular key if the width is one fourth that of the shaft diameter.

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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.