Bending and circumferential stress-Cylinder

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To analyze the stresses on a thick-walled cylinder under external loads, it is essential to understand the relationship between bending stress and other stress types, such as longitudinal, radial, and hoop stresses. Bending stress and longitudinal stress can be combined algebraically since they act in the same direction. However, hoop stresses, which are typically higher, may dominate the failure criteria. The discussion emphasizes the need to assess whether the bending stress is significant compared to hoop stress when determining the critical stress state of the cylinder. Understanding these interactions is crucial for accurate structural analysis and design.
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Homework Statement


How do we combine bending stress on thick walled cylinder from external point load or moment to other longitudinal, radial and hop stresses which are from pressurized thick walled cylinder. Since bending stress and longitudinal stresses are in the same direction, do we just add hose. or if hoop stresses significantly higher than bending stress, we just say cylinder is critical for hoop stress.

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Stresses that act in the same direction can be added algebraically. Do bending stresses act in the same direction as hoop stresses?
 
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