The problem of elastoplastic bending of a freely supported, round thin plate uniformly loaded with transverse pressure is considered. The plate is made of thin sheet metal with transversal isotropy properties and the effect of different resistance to tension and compression (SD effect) during plastic deformation. Plasticity area in the compression zone of the plate is substantially smaller thеn those in the tension zone. We assume that the yield strength during compression is greater than that under tension. To calculate the bending, the COMSOL software package is used. Depending on the pressure, we calculate the sizes of plasticity zones. The problem used the classical Mises – Hill approach. According to the results of the calculation, the magnitude of the plasticity "spot" and the depth of plasticity areas significantly depends on the condition of compression or tension.