For a simply supported beam with a UDL, with boundary conditions of X=0, V=0 & X=L, V=0. Using a cubic trial function.
The following curve is obtained (Red Line). It is shown in comparison to the simple beam theory curve (Blue line).
Is this the level of accuracy to be expected from a Rayleigh-Ritz method for this scenario using these conditions? I don't have an intuitive sense of how accurate the approximation should be so am unsure if I have made a mistake in my calculations or if this is an expected result.