8. Progressive Collapse Analysis of a Ship's Hull under Longitudinal Bending

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From the viewpoints of safety and economy, it is very important to estimate the load carrying capacity of a ship's hull as a whole. For this purpose, a simple method was proposed to simulate progressive collapse behaviour of a ship's hull subjected to longitudinal bending. In this method, the cross-section of a hull girder is divided into small elements consisting of a stiffener and attached plating. For each stiffener element, the average stress-strain relationship under axial load is derived based on the equilibrium conditions of forces and moments The buckling and yielding both in stiffeners and plates are taken into account. Then, curvature is incrementally applied to the hull girder cross-section assuming that plane-sections remain plane. At each incremental step, the tangential flexural rigidity of a cross-section is evaluated using the tangential slope of the average stress-strain curves of individual elements, and hence the increment of bending moment, is evaluated. Performing example calculations on existing test girder models under bending, the rationality of the proposed method was examined. Then, the analysis was performed on an existing bulk carrier, and the progressive collapse behaviour of the cross-section under longitudinal bending was discussed. It was found that the fully plastic bending moment can not be sustained at the cross-section due to buckling of compressed members in the cross-section. It was also found that the maximum bending moment carried at the cross-section under the sagging condition is 20% lower than that under the hogging condition.
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8. Progressive Collapse Analysis of a Ship's Hull under Longitudinal Bending

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