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A prismatic, straight, elastic, cantilever beam is subjected to a linearly distributed transverse load as shown below. If the beam length is $L$, Young’s modulus $E$, and area moment of inertia $I$, the magnitude of the maximum deflection is

  1. $\dfrac{qL^4}{15EI} \\$
  2. $\dfrac{qL^4}{30EI} \\$
  3. $\dfrac{qL^4}{10EI} \\$
  4. $\dfrac{qL^4}{60EI}$
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