Stress on thick walled cylinders

In summary, stress on thick walled cylinders is the distribution of internal forces or pressure within a cylindrical object with a large diameter compared to its wall thickness. It is often analyzed in engineering and material science. The stress can be calculated using various mathematical formulas and is affected by factors such as internal pressure, external loads, and material properties. The potential failure modes include buckling, yielding, and fracture. This knowledge has practical applications in designing and analyzing pressure vessels, pipes and tubes, and ensuring safety and reliability in various structures.
  • #1
tdev
10
0
Could anyone explain the method of finding the circumferencial and longitudinal stress for thick cylinders?
 
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  • #2
You would need to apply Lame's Equations which are explained better here
 

1. What is the definition of "stress on thick walled cylinders"?

Stress on thick walled cylinders refers to the distribution of internal forces or pressure within a cylindrical object that has a relatively large diameter compared to its wall thickness. This type of stress is typically analyzed in engineering and material science applications.

2. How is stress on thick walled cylinders calculated?

The stress on a thick walled cylinder can be calculated using various mathematical formulas, depending on the specific scenario and type of loading. Some common methods include using the Lamé equations, the Von Mises yield criterion, or the Tresca yield criterion.

3. What factors can affect the stress on thick walled cylinders?

The stress on thick walled cylinders can be affected by several factors such as the internal pressure, external loads, material properties, and geometric dimensions of the cylinder. Other factors that may influence the stress distribution include temperature, corrosion, and manufacturing processes.

4. What are the potential failure modes associated with stress on thick walled cylinders?

The most common failure modes associated with stress on thick walled cylinders are buckling, yielding, and fracture. Buckling occurs when the cylinder experiences compressive stress and becomes unstable, while yielding refers to the deformation of the material beyond its elastic limit. Fracture can occur when the stress exceeds the material's ultimate strength.

5. What are some practical applications of studying stress on thick walled cylinders?

The study of stress on thick walled cylinders has many practical applications in different industries, such as in the design and analysis of pressure vessels, hydraulic and pneumatic systems, pipes and tubes, and various structural components. This knowledge is also crucial in ensuring the safety and reliability of these structures and preventing potential failures.

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