A bar shown in the figure is modeled using three equallength bar elements. The total length of the bar is \(L_{T}=1.5 \mathrm{~m}\), and the radius of the circular cross section is \(r=0.1 \mathrm{~m}\). When Young's modulus \(E=207 \mathrm{GPa}\), and distributed load \(q=1,000 \mathrm{~N} / \mathrm{m}\), calculate displacement and stress using a commercial finite element analysis program. Compare your finite element solution with the exact solution. Provide XY graphs of displacement and stress with respect to bar length. Explain why the finite element solutions are different from the exact solutions.

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