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A cantilever beam of length, $L$, with uniform cross-section and flexural rigidity, $EI$, is loaded uniformly by a vertical load, $w$ per unit length. The maximum vertical deflection of the beam is given by

  1. $\dfrac{wL^4}{8EI} \\$
  2. $\dfrac{wL^4}{16EI} \\$
  3. $\dfrac{wL^4}{4EI} \\$
  4. $\dfrac{wL^4}{24EI}$
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