Which of following represents the stiffness matrix of the cantilever beam with coordinates as shown below?
1
\(\left[ {\begin{array}{*{20}{c}} {\dfrac{{{\rm{AE}}}}{{\rm{L}}}}&0&0\\ 0&{\dfrac{{4{\rm{EI}}}}{{\rm{L}}}}&{\dfrac{{6{\rm{EI}}}}{{{{\rm{L}}^2}}}}\\ 0&{\dfrac{{6{\rm{EI}}}}{{{{\rm{L}}^2}}}}&{\dfrac{{12{\rm{EI}}}}{{{{\rm{L}}^3}}}} \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} 0&0&0\\ 0&0&{\dfrac{{6{\rm{EI}}}}{{{{\rm{L}}^2}}}}\\ 0&{\dfrac{{6{\rm{EI}}}}{{{{\rm{L}}^2}}}}&{\dfrac{{12{\rm{EI}}}}{{{{\rm{L}}^3}}}} \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} {\dfrac{{{\rm{AE}}}}{{\rm{L}}}}&{\dfrac{{{\rm{AE}}}}{{\rm{L}}}}&0\\ 0&{\dfrac{{4{\rm{EI}}}}{{\rm{L}}}}&{\dfrac{{6{\rm{EI}}}}{{{{\rm{L}}^2}}}}\\ 0&{\dfrac{{6{\rm{EI}}}}{{{{\rm{L}}^2}}}}&{\dfrac{{12{\rm{EI}}}}{{{{\rm{L}}^3}}}} \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} {\dfrac{{{\rm{AE}}}}{{\rm{L}}}}&0&{\dfrac{{6{\rm{EI}}}}{{{{\rm{L}}^2}}}}\\ 0&{\dfrac{{4{\rm{EI}}}}{{\rm{L}}}}&0\\ {\dfrac{{6{\rm{EI}}}}{{{{\rm{L}}^2}}}}&0&{\dfrac{{12{\rm{EI}}}}{{{{\rm{L}}^3}}}} \end{array}} \right]\)