For the purposes of examining its transverse (vertical) vibration, a bridge may be modelled as a rectangular crosssection, clamped/clamped beam. The direct response of the bridge at its mid-point needs to be damped. The two side rails of the bridge may also be considered to be clamped/clamped beams of rectangular cross-section. It is proposed to insert some rubber between the rails and the bridge at their mid-points. It is required to minimise the maximum mid-point response of the bridge up to a frequency twice the first natural frequency of the bridge without rails.The two rubber inserts behave as massless springs and hysteretic damping elements, each with a characteristic k(1+i*alpha). The values for L, Bb, Db, Br and Alpha are given. The object is to minimise the maximum response by finding the optimum values of Dr and k. The material of the bridge and rails is the same with density rho = 7800 kg/m3 and elastic modulus E = 2 1011 N/m2. Use MATLAB programing where ever necessary.Show your calculation, result for optimised response and analysis. Also show your MATLAB program