A simply supported beam that is 16 meters long has a load concentrated at the center (see gure). The deflection of the beam at its center is 3 centimeters. Assume that the shape of the deflected beam is parabolic. Nut drum: m .mlh' (a) Find an equation of the parabola. (Assume that the origin is at the center of the beam and units are in meters.) y(X) = (b) How far from the center of the beam is the deflection 1 centimeter(s)? (Round your answer to two decimal places.) m