Develop the flexibility matrix for the cantilever beam shown below is:
1
\(\left[ {\begin{array}{*{20}{c}} {\frac{{\rm{L}}}{{{\rm{AE}}}}}&0\\ 0&{\frac{{{{\rm{L}}^2}}}{{2{\rm{EI}}}}} \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} {\frac{{ - {\rm{L}}}}{{{\rm{AI}}}}}&{\frac{{{{\rm{L}}^2}}}{{2{\rm{EI}}}}}\\ 0&{\frac{{\rm{L}}}{{{\rm{AE}}}}} \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} {\frac{{{{\rm{L}}^3}}}{{3{\rm{EI}}}}}&{\frac{{{{\rm{L}}^2}}}{{2{\rm{EI}}}}}\\ {\frac{{{{\rm{L}}^2}}}{{2{\rm{EI}}}}}&{\frac{{\rm{L}}}{{{\rm{EI}}}}} \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} {\frac{{\rm{L}}}{{{\rm{AE}}}}}&0\\ 0&{\frac{{\rm{L}}}{{{\rm{EI}}}}} \end{array}} \right]\)