Elibel

PROBLEM $1$: For the beam shown in figure below, determine the displacements and slopes at the nodes and the reactions The moment of inertia of the beam is ${410}^{-4}{m}^4.$ Elasticity Modulus of element is Pascal$).$ Force $P$ is $10kN$ and the $L$ is equal to $5m.$

$[K]=\frac{EI}{L^3}\left[\begin{array}{cccc}12& 6L& -12& 6L\\ ?& 4L^2& 6L& 2L^2\\ ?& 12& -6L& ?\\ \text{S}\text{y}\text{m}\text{m}\text{e}\text{t}\text{r}\text{y}& 4L^2& ?& ?\end{array}\right]$