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The cylinder had been wide applications in the industry especially in mechanical and nuclear applications. The most common type of failure which may be happen in this type of structure was the buckling when was subjected to external hydrostatic pressure which represents the aim of this work. The buckling happen due to transfer major amount of strain energy into bending energy which leads to sudden failure in the structure at load less than the yield point. To avoid this type of failure the cylindrical shell stiffened by adding a stiffeners ring along the shell from internal or external surface. In this work two types of stiffeners existed, longitudinal and circumferential stiffeners based on the direction of the installation on the shell surface.
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