GATE XE (Engineering Sciences) 2007 - Question 77

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Section: Solid Mechanics | Marks: 2

A circular shaft of diameter, $d$, is fixed at one end and subjected to an axial force, $P$, and a torque, $T$, at the other end. The torque, $T$, is equal to $Pd/8$. The tensile yield stress of the shaft material is $\sigma_y$. A point on the surface of the shaft will yield according to the Tresca yield criterion if $P$ is equal to

  • A. $\sigma_y\left(\frac{\pi d^2}{4\sqrt{2}}\right)$
  • B. $\sigma_y\left(\frac{\pi d^2}{4}\right)$
  • C. $\sigma_y(d^2)$
  • D. $\sigma_y(\pi d^2)$

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