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A rigid horizontal rod of length $2L$ is fixed to a circular cylinder of radius $R$ as shown in the figure. Vertical forces of magnitude $P$ are applied at the two ends as shown in the figure. The shear modulus for the cylinder is $G$ and the Young’s modulus is $E$.

The vertical deflection at point A is

  1. $PL^3/(\pi R^4G)$
  2. $PL^3/(\pi R^4E)$
  3. $2PL^3/(\pi R^4E)$
  4. $4PL^3/(\pi R^4G)$
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