Exp

Problem $1$

For the beam structure is shown in Figure below. $($a$)$ Assemblage the reduced global equation of $\{F\}=[K]\{d\}.$ Determine $($b$)$ the displacements and the slopes at the nodes $($c$)$ the reactions $($d$)$ the force in the spring. Let $I=2{10}^{-4}{m}^4,E=70$GPa, and $L=4m,$ the spring stiffness is $k=100\frac{kN}{m},$ a force of $6$ kN at node $2$ as shown. Use the direct stiffness method.

PLEASE Solve this problem showing all steps.