Problem $2$

For the frame structure is shown in the Figure below. $($a$)$ Assemblage the reduced global equation of $\{F\}=[K]\{d\}.$ Determine $($b$)$ the displacements $($c$)$ the nodal forces in element $1.$ Use the direct stiffness method. The local axis direction for element $1$ is $1-2,$ and for element $2$ is $3-2.$