Nalytical Prediction of Plastic Collapse of Conical Shell under Static Internal Pressure

In this paper، plastic behavior of thin-walled conical shell under static internal pressure has been investigated analytically. In order to simplification، stress resultant along the slant of cone has been neglected and rigid-perfectly plastic model is used for material behavior. Common rectangular surface has been used as yielding criterion. According to present approach، cones are categorized into «long» and «short» based on their geometry. For each case، required pressure for initiation of plastic flow is formulated and is named collapse pressure. Maximum collapse pressure occurs at specific angle. The results coincide with collapse pressures of cylinder and circular plate at angels near 0º and 90º، respectively. The results have been depicted for various ratios of the larger radius of cone to the thickness. The differences between long and short cone have been distinguished.