An approximate solution with high accuracy of transverse bending of thin rectangular plates under arbitrarily distributed loads

Ritz method is an effective way widely used to analyze the transverse bending of thin rectangular plates. Its accuracy depends completely on the basis functions selected. This paper selects the superposition of sine series with polynomials as the basis functions of thin rectangular plates. The calculating formulae are not only simple and easily programmed, but also have high accuracy. Finally, two numerical results are given and compared with those obtained by the classical method.