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Strength Of Materials Miscellaneous

Strength Of Materials

  1. 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. PL³
      (πR4G)
    2. 2PL³
      (πR4E)
    3. 2PL³
      (πR4E)
    4. 4PL³
      (πR4G)
Correct Option: D


T = P (2L) = 2PL

θ =
TL
=
1PL(L)
GJG(π/32)(2R)4

θ =
32 × 2PL²
=
4PL²
πGR416πGR4

y = Rθ =
L(4PL)²
πGR416

=
4PL²
πGR416



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