A beam problem under the pure bending moment is solved using CST finite elements, as shown in the figure. Assume \(E=200 \mathrm{GPa}\) and \(v=0.3\). The thickness of the beam is \(0.01 \mathrm{~m}\). In order to simulate the pure bending moment, two opposite forces \(F= \pm 100,000 \mathrm{~N}\) are applied at the end of the beam. Using any available finite element program, calculate the stresses in the beam along the neutral axis and top and bottom surfaces. Compare the numerical results with the elementary beam theory. Provide an element stress contour plot for \(\sigma_{x x}\).

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1 2 3 4 5 6 5 m 7 8 9 10 -F 1 m F