ABSTRACT

In the previous chapter, analytical solutions using Navier’s, Le´vy’s, and the Ritz methods were presented for bending of rectangular plates with all four edges simply supported. In this chapter, solutions will be developed for rectangular plates with various boundary conditions. First, we use the Le´vy method to determine solutions of rectangular plates with two opposite edges simply supported while each of the remaining two edges are free, simply supported, or clamped. The Le´vy method was discussed in Section 6.3, and only pertinent equations are repeated here for the sake of completeness. Next, the Ritz solutions are developed for rectangular plates with general boundary conditions.