Determine the structure stiffness matrix $K$ for the frame. Take $E=29({10}^3)ksi,I=700i{n}^4,A=35$ in ${?}^2$ for each member. Joint $(1)$ is pin connected.

Suppose that $K={10}^{3}M={10}^3\left[\begin{array}{c}{M}_1\\ M_2\\ M_3\\ M_4\\ M_5\\ M_6\\ M_7\\ M_8\\ M_9\end{array}\right],$

where the submatrices $M_1,M_2,dots{M}_9$ are row matrices that are equal to the rows of the matrix $M.$ Assume that units for angular displacements, linear displacements, forces, and moments are rad, in$.,k,$ and $k*$ in$.$ respectively. $($Figure $1)$

Figure

$1$ of $1$

Express answer to three significant figures