The INSANE system has been used to simulate a circular plate simply supported and subjected to uniformly distributed loading. The geometric characteristics and finite elements adopted are shown in Figure 1. The plate is discretized into ten quadrilateral axissimetric elements of nodes, which are distributed in two layers along the thickness. In order to determine the load limit for the plate by numerical analysis, a perfectly plastic model with the von Mises and Tresca flow criteria was adopted, formulated according to the Theoretical-Computational Environment developed in Penna (2011) and implemented in the master’s thesis of Oliveira (2016). The diagram of Figure 2 represents an equilibrium trajectory “Central deflection x Distributed load intensity”. Figure 3 illustrate the values for the plastic flow variable accumulated along the equilibrium trajectory for the solution obtained by Souza Neto et al. (2008) – Figure 3-a and for the models of Tresca Figure 3-b and von Mises Figure 3-c in different phases of loading. The results agree with the numerical results obtained by Souza Neto et al. (2008).