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Knowledge
Pressure vessels are designed to contain liquids or gases under significant pressure changes compared to ambient conditions. This chapter explores the mechanics of thin-walled and thick-walled cylinders, spherical shells, and combined thermo-mechanical stresses in pressure vessels. It also examines the applications of these principles in real-world scenarios, particularly in boilers, highlighting the importance of material selection and adherence to design codes for safety and performance.
Sections
References
Module VII_ Pressure Vessels.pdfClass Notes
Memorization
What we have learnt
- Pressure vessels must maint...
- The stress analysis of thin...
- Combined effects of mechani...
Final Test
Revision Tests
What we have learnt
- Pressure vessels must maintain structural integrity under internal pressure and temperature changes.
- The stress analysis of thin-walled cylinders simplifies using hoop and axial stress formulas, while thick-walled cylinders require Lame's equations due to radial stress variations.
- Combined effects of mechanical and thermal stresses must be considered in the design of pressure vessels, particularly those operating at high temperatures.
Key Concepts
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Term: Pressure Vessels
Definition: Containers designed to hold liquids or gases significantly different from ambient pressures.
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Term: ThinWalled Cylinder
Definition: A cylinder with a wall thickness that is much smaller than its radius, allowing simplifications in stress calculations.
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Term: ThickWalled Cylinder
Definition: A cylinder where wall thickness cannot be neglected in stress analysis, requiring Lame's equations for accurate stress calculations.
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Term: Spherical Shells
Definition: Thin-walled structures where the stress is uniformly distributed in all directions, often used in storage applications.
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Term: Combined ThermoMechanical Stress
Definition: The cumulative stress from both mechanical pressures and thermal changes in a material.
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Term: Boilers
Definition: Common applications of pressure vessels that operate under high pressure and temperature, requiring careful analysis of stresses.