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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
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PL³ (πR4G) -
2PL³ (πR4E) -
2PL³ (πR4E) -
4PL³ (πR4G)
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Correct Option: D
T = P (2L) = 2PL
θ = | = | ||
GJ | G(π/32)(2R)4 |
θ = | = | ||
πGR416 | πGR4 |
y = Rθ = | |
πGR416 |
= | |
πGR416 |