For a cantilever beam of length L carrying a point load P at the free end, what is the deflection at the free end? 

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

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

 \({y_B} = \frac{{w{L^4}}}{{8EI}}\)

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

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

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

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

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

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

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

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

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

\({y_c} = 0\)

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

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

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

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

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

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

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