Problem $2$

For the plane truss structure shown in the Figure below. Determine $($a$)$ the displacement $($b$)$

assemblage the equation of $\{F\}=[K]\{d\}$ with the reduced stiffness matrix and state the

boundary conditions $($c$)$ also determine the stress in element $1.$ Let $A=5i{n}^2,E=$

$1{10}^6,$ and $L=100in.$ The local axial direction for element $1$ is $(32)$ and the local

axial direction for element $2$ is $(12).$ Use the direct stiffness method. $(50\%)$