In Ramsay - Rayleigh's second method is :

SOLVED: Use the Rayleigh-Ritz method to determine the deflection v, bending moment Mx, and shear force Vx for the beam shown in the figure. The bending moment and shear force are calculated from the deflection as: Mx = EId/d and Vx = EId^3/dx^3. Assume the displacement as x = c cx c cg and EI = 2,000 N-m^2. L = 1 m, and po = 200 N/m and C = 100 N-m. Make sure the displacement boundary conditions are satisfied a priori. Hint: The potential energy of a couple is calculated as V - Cdu/d where