Thick walled Pressure vessel -Principle stresses

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SUMMARY

The discussion focuses on calculating principal stresses in a thick-walled pressure vessel subjected to internal pressure. The three relevant stresses identified are radial, hoop, and axial stresses, with hoop stress typically being the most critical due to its magnitude. The participants confirm that only normal stresses are present, with no shear stress involved in this scenario. The calculation of principal stresses involves the addition of these three normal stresses, which are independent of each other.

PREREQUISITES
  • Understanding of thick-walled pressure vessel mechanics
  • Knowledge of radial, hoop, and axial stress concepts
  • Familiarity with stress transformation equations
  • Basic principles of material mechanics
NEXT STEPS
  • Study the derivation of the Lame's equations for thick-walled cylinders
  • Learn about stress transformation techniques in solid mechanics
  • Explore the application of Mohr's Circle for stress analysis
  • Investigate the effects of varying internal pressures on principal stresses
USEFUL FOR

Mechanical engineers, structural analysts, and students studying pressure vessel design and stress analysis will benefit from this discussion.

har_rai
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Homework Statement



Hi, I trying to calculate principle stresses for pressure vessel (thick walled) which is pressurized from inside. I calculated all 3 stresses radial, hoop and axial and looking for what formulae to use to get to principle stresses.
thanks

Homework Equations

The Attempt at a Solution

 
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Can we assume your thick walled pressure vessel is a cylinder?
The stresses must be added. But they are perpendicular and so are independent.

The radial stress is compressive, the other two tension. Hoop stress is usually twice the axial and so hoop stress is probably the limiting factor in a cylindrical vessel.
 
har_rai said:

Homework Statement



Hi, I trying to calculate principle stresses for pressure vessel (thick walled) which is pressurized from inside. I calculated all 3 stresses radial, hoop and axial and looking for what formulae to use to get to principle stresses.
thanks

Homework Equations

The Attempt at a Solution

The radial, hoop, and axial stresses are the principal stresses in this system.
 
Chestermiller said:
The radial, hoop, and axial stresses are the principal stresses in this system.
Thanks for the reply. So there is no shear stress in this, only 3 normal stresses (radial, hoop and axial).
 
har_rai said:
Thanks for the reply. So there is no shear stress in this, only 3 normal stresses (radial, hoop and axial).
Correct.
 

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