Consider a simply supported beam shown in the figure. Solve the problem using plane stress solids. Perform a convergence study for displacement at the center and maximum tensile stress. Increase the mesh size by a factor of two starting from an initial mesh size of \(2 \times 10\). Compare the results with the exact solution. Assume \(E=72 \mathrm{GPa}\) and \(v=0.3\).

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10 kN 1 m 20 mm +10 mm