6. A simply supported beam with length L is under a concentrated vertical force —F at the center.

When two equal-length beam elements are used, the finite element analysis yields the following nodal DOFs:

f T?T^- ^

{1Q !}Jr= \{ v'i ,e\u6vE2,6V2^ ^4638,}£ =/ ^' 0', ,1 06,0E,—I)

Find the deflection curve v(x) and compare it with the exact solution in a graph. Note: the exact deflection curve of the beam is, for x < ^L,vc]lllct(x) = Fx(3L2 — Ax2)/A%EI and symmetric for x>^L.