Abstract: The paper presents a finite element model for strength analyses of a rotational composite shell under axial compression and internal pressure. Characteristics of stress distribution and locations and loads of failure are determined according to the model. The model is also developed to calculate stability of the shell under axial compression, external pressure and the combination of axial compression and external pressure. Experiments are completed for studying the strength of the shell under axial compression and internal pressure and the stability of the shell under the combination of axial compression and external pressure.