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SOLVED: A uniform beam of mass, mb, and modulus, El, is simply supported across a gap of width, 2L. The beam supports a concentrated mass, M, at its center (see Figure B below). The stiffness of this beam for a load applied at the center is K = 6El/L. To simplify the calculation, assume that the beam deflection curve is parabolic, that is, y/L = 1 - x/L, where y is the deflection of the center of the beam. The lowest natural frequency of the beam is given by n = √(M fmb).A. Using Rayleigh's

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