University of Florida/Eml4500/f08.qwiki/Lecture 6

The global force relationship is given by the equation $F=KD$, where $F$ is the resultant force matrix, $K$ is the global stiffness matrix, and $D$ is the global displacement matrix.

In matrix format,File:6-1.jpg

$k^e=k^e\left[\begin{array}{cccc}(l^e{)}^2& (l^e{m}^e)& -(l^e{)}^2& -(l^e{m}^e)\\ (l^e{m}^e)& (m^e{)}^2& -(l^e{m}^e)& -(m^e{)}^2\\ -(l^e{)}^2& -(l^e{m}^e)& (l^e{)}^2& (l^e{m}^e)\\ -(l^e{m}^e)& -(m^e{)}^2& (l^e{m}^e)& (m^e{)}^2\end{array}\right]$