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A $3$ m long simply supported beam of uniform cross section is subjected to a uniformly distributed load of $w=20$kN/m in the central $1$ m as shown in the figure.

If the flexural rigidity (EI) of the beam is $30 \times 10^6 \: N-m^2$, the maximum slope (expressed in radians) of the deformed beam  is

  1. $0.681 \times 10^{-7}$
  2. $0.943 \times 10^{-7}$
  3. $4.310 \times 10^{-7}$
  4. $5.910 \times 10^{-7}$
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