Considering the pure bending of a beam, calculate the maximum vertical and lateral displacements, and, using the Euler Bernoulli beam theory and the exact solution from theory of elasticity. Assume, length of the beam, thickness of the beam, and Poisson ration, Express the results in terms of the material Modulus of Elasticity, , the cross-section moment of Inertia, and the effective bending moment , M. Specify the percentage of error in the maximum vertical displacement predicted per the common beam theory.
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