Max Shear Stress in Thin Cylinder: Issues & Applied Pressure

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SUMMARY

The maximum shear stress in a thin-walled cylinder is determined primarily by the hoop stress and axial stress, while radial stress is negligible when only internal pressure is applied. Radial stress is zero on the outer surface and equals the gauge pressure on the inner surface, varying linearly through the wall thickness. This confirms that radial stress does not significantly impact the overall stress analysis in thin cylinders. Further research verified these findings, solidifying the understanding of stress distribution in thin-walled structures.

PREREQUISITES
  • Understanding of thin-walled cylinder theory
  • Knowledge of hoop stress and axial stress calculations
  • Familiarity with radial stress concepts in pressure vessels
  • Basic principles of stress distribution in materials
NEXT STEPS
  • Study the derivation of hoop stress and axial stress formulas for thin-walled cylinders
  • Learn about the effects of internal and external pressures on radial stress
  • Explore the application of Mohr's Circle for stress analysis
  • Investigate the design considerations for pressure vessels according to ASME standards
USEFUL FOR

Mechanical engineers, structural analysts, and students studying pressure vessel design and stress analysis in materials.

OKaraali
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I am having some trouble finding out the Maximum shear stress, I worked out my hoop stress and axial stress for the thin cylinder theory but the radial stress i am having issues with. If the applied pressure is only internal then would the radial stress be 0.
 
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OKaraali said:
I am having some trouble finding out the Maximum shear stress, I worked out my hoop stress and axial stress for the thin cylinder theory but the radial stress i am having issues with. If the applied pressure is only internal then would the radial stress be 0.
For a thin walled cylinder, it is negligible compared to the axial and hoop stresses. It is zero on the outside, and gauge pressure on the inside. So it varies linearly with position through the thickness of the wall. But, irrespective of the location, the magnitude is going to be very low relative to the other principal stresses.
 
Thanks I managed to find this out in further research last night but at least now its verified.
 

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