Bending and circumferential stress-Cylinder

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SUMMARY

This discussion focuses on the analysis of bending and circumferential stress in thick-walled cylinders subjected to external loads and internal pressure. It concludes that bending stresses and longitudinal stresses can be combined algebraically, as they act in the same direction. However, if hoop stresses are significantly higher than bending stresses, the cylinder's critical condition should be evaluated primarily based on hoop stress. The discussion emphasizes the importance of understanding the interaction between these stress types in structural analysis.

PREREQUISITES
  • Understanding of thick-walled cylinder mechanics
  • Knowledge of stress analysis principles
  • Familiarity with bending and hoop stress concepts
  • Proficiency in algebraic manipulation of stress equations
NEXT STEPS
  • Study the mechanics of materials focusing on thick-walled cylinder stress analysis
  • Learn about the differences between bending stress and hoop stress
  • Research methods for calculating combined stresses in structural components
  • Explore case studies involving pressurized thick-walled cylinders in engineering applications
USEFUL FOR

Mechanical engineers, structural analysts, and students studying material mechanics who are involved in the design and analysis of pressure vessels and cylindrical structures.

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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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The Attempt at a Solution

 
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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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