Question

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

Options :

  1. qL4/60EI

  2. qL4/30EI

  3. qL4/10EI

  4. qL4/15EI

Show Answer

Answer :

qL4/30EI

Solution :

By using moment area IInd theorem

YB – YA = A of M / EI diagram between B and A

Ymax – 0 = (1/ 4 )(qL2/6EI) (L) (4L /5)

ymax = qL4 / 30EI  (↓)


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