Bending of beam and plate is numerically analyzed by a new numerical method called "Finite Analytic Method." The basic idea of the Finite Analytic Method is incorporation of the local analytic solution in obtaining the numerical solution of partial differential equations. In the present investigation, a nine-point Finite Analytic Formula is derived in a rectangular subregion for the plate bending problem (Non-homogeneous Biharmonic Equation). Here, it is the first attempt to apply the Finite Analytic Method to solid mechanics and utilize the local Biharmonic solutions in obtaining the global Biharmonic solutions those were assembled by two local Harmonic solutions in the previous work. A rectangular plate with clamped edges under uniform load is studied in two different sub-schemes (ILDT, ELDT) of Finite Analytic Method. Application of Finite Analytic Method to the bending of beam is also investigated. To ascertain the results obtained by Finite Analytic Method, comparisons between the Finite Analytic solutions and exact ones or other available numerical solutions are also given.
