A circular plate with a circular hole at the center under a uniformly distributed load along the inner edge and simply supported along the outer edge (Figure 1) was modeled in the INSANE to compare the displacements obtained with the analytical solution proposed by Timoshenko and Woinowsky-Krieger (1959). In this simulation was used the quadrilateral element with four nodes (Q4). As Reissner-Mindlin’s theory was used to analyze a thin plate, it was necessary to use two anti-block techniques implemented by Saliba (2007). The same model was analyzed twice – once using the selective integration technique (IS) and other time the assumed transverse shear strain field technique (CI) was used. Due the double symmetry in the plate, only ¼ of the plate was used according to Figure 2. The Figure 3 presents a comparative of the vertical displacements along the line of symmetry collinear to the x-axis between the analytical solution and the results obtained by IS and CI techniques (see Figure 4).