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Doubling the length of a tip-loaded cantilever, at constant load and \( EI \), changes its tip deflection by a factor of

  • A.2
  • B.4
  • C.16
  • D.8

Answer: D

Tip deflection goes as the cube of the length, so doubling it multiplies the deflection by \( 2^3 = 8 \). Answering four confuses this with a uniformly distributed load's dependence, which is a fourth power rather than a cube.

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