The maximum slope and deflection for a cantilever beam of length 'L' subjected to point load 'W' at free end shown in the figure are:

Where, EI is the flexural rigidity.

1
deflection and \(\frac{W L^4}{8 E I}\) = slope = \(\frac{W L^3}{6 E I}\)
2
deflection = \(\frac{W L^3}{3 E I}\) and slope = \(\frac{W L^2}{2 E I}\)
3
deflection = \(\frac{W L^2}{3 E I}\) and slope = \(\frac{W^3}{2 E I}\)
4
deflection = \(\frac{W L^3}{12 E I}\) and slope = \(\frac{W L^2}{4 E I}\)

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