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.

\({y_B} = \frac{{P{L^3}}}{{3EI}}\)

\({\theta _B} = \frac{{P{L^2}}}{{2EI}}\)

 \({y_B} = \frac{{w{L^4}}}{{8EI}}\)

\({\theta _B} = \frac{{w{L^3}}}{{6EI}}\)

\({y_B} = \frac{{M{L^2}}}{{2EI}}\)

\({\theta _B} = \frac{{ML}}{{EI}}\)

\({y_B} = \frac{{w{L^4}}}{{30EI}}\)

\({\theta _B} = \frac{{w{L^3}}}{{24EI}}\)

\({y_c} = \frac{{P{L^3}}}{{48EI}}\)

\({\theta _B} = \frac{{w{L^2}}}{{16EI\;}}\)

\({y_c} = \frac{5}{{384}}\frac{{w{L^4}}}{{EI}}\)

\({\theta _B} = \frac{{w{L^3}}}{{24EI}}\)

\({y_c} = 0\)

\({\theta _B} = \frac{{ML}}{{24EI}}\)

\({y_c} = \frac{{M{L^2}}}{{8EI}}\)

\({\theta _B} = \frac{{ML}}{{2EI}}\)

\({y_c} = \frac{{P{L^3}}}{{192EI}}\)

\({\theta _A} = {\theta _B} = {\theta _C} = 0\)

\({y_c} = \frac{{w{L^4}}}{{384EI}}\)

\({\theta _A} = {\theta _B} = {\theta _C} = 0\)