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GATE Mechanical 2014 Set 1 | Question: 6

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A circular rod of length $'L'$ and area of cross-section $‘A’$ has a modulus of elasticity $‘E'$ and coefficient of thermal expansion $‘\alpha’$. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by $\Delta T$, then

  1. stress developed in the rod is $E \alpha  \Delta T$ and strain developed in the rod is $\alpha \Delta T$
  2. both stress and strain developed in the rod are zero
  3. stress developed in the rod is zero and strain developed in the rod is $ \alpha  \Delta T$
  4. stress developed in the rod is $E \alpha  \Delta T$ and strain developed in the rod is zero
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