1.

The stiffness matrix for a beam element is \({\rm{k}} = \frac{{{\rm{EI}}}}{{63}}\left[ {\begin{array}{*{20}{c}} 4&{ - 9}\\ { - 9}&{36} \end{array}} \right]\). The corresponding flexibility matrix is

A. \(\frac{{63}}{{{\rm{EI}}}}\left[ {\begin{array}{*{20}{c}} {36}&9\\ 9&4 \end{array}} \right]\)
B. \(\frac{1}{{{\rm{EI}}}}\left[ {\begin{array}{*{20}{c}} {36}&9\\ 9&4 \end{array}} \right]\)
C. \(\frac{{63}}{{{\rm{EI}}}}\left[ {\begin{array}{*{20}{c}} { - 4}&9\\ 9&{ - 36} \end{array}} \right]\)
D. \(\frac{1}{{{\rm{EI}}}}\left[ {\begin{array}{*{20}{c}} 4&9\\ 9&{36} \end{array}} \right]\)
Answer» C. \(\frac{{63}}{{{\rm{EI}}}}\left[ {\begin{array}{*{20}{c}} { - 4}&9\\ 9&{ - 36} \end{array}} \right]\)


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