19. A bar shown in the figure is modeled using three equal-length bar elements. The total length of the bar is Lr = 1.5 m, and the radius of the circular cross-section is r = 0.1 m. When Young's modulus E = 207 GPa and distributed load q = 1,000 N/m, calculate displacement and stress using one of finite element analysis programs in Appendix. Compare your finite element solu¬

tion 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.