1.

Square key of side d/4 each and length l is used to transmit torque T from the shaft of diameter d to the hub of a pulley. Assuming the length of the key to be equal to the thickness of the pulley, the average shear stress developed in the key is given by

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4T</center></td><td rowspan="2"></td></tr><td align="center">ld</td></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>16T</center></td><td rowspan="2"></td></tr><td align="center">ld </td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>8T</center></td><td rowspan="2"></td></tr><td align="center">ld </td></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>16T</center></td><td rowspan="2"></td></tr><td align="center"> d<sup>3</sup></td></table>
Answer» D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>16T</center></td><td rowspan="2"></td></tr><td align="center"> d<sup>3</sup></td></table>


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