Finite element methods are only truly accurate at the end nodes $($for both displacements and forces$).$ Demonstrate that by modeling a single$-$span element with fixed ends. For the element, L$=10$m$,$E$=200$GPa, and I$=1,234\backslash$times $106$ mm$^4$

Model a concentrated force P $=258$kN at midspan. Use a number of elements $=2,4,...,10$ and plot the displacements along with the analytical solution $($see Table $3-23$ in the Steel Manual$)$

Please solve if full