Consider a uniform beam of length L, simply supported at both ends. The bending moment is given by M(x) = y''(x) * 4G, where y(x) is the deflection, M(x) is the bending moment, and El is the flexural rigidity. Assume that the deflection distribution is as follows: 0.8 3.97 0.0 7.78 10.68 8.37 Assume El = L^2 * 10^(-Nm^2). Estimate the bending moment for x = 0.1, 0.55, and 0.9.