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The value of maximum deflection for a cantilever beam of length l and carrying uniformly varying load from zero at free end to w per unit length at fixed end is
$$\frac{wl^3}{8} EI$$
$$\frac{wl^3}{16} EI$$
$$\frac{wl^4}{30} EI$$
$$\frac{wl^3}{48} EI$$
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