What is the stress and pressure in a thin-walled cylinder?

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SUMMARY

The discussion focuses on calculating stress and pressure in a thin-walled cylinder using specific equations. The calculated circumferential stress (σc) is 17.53 MPa, derived from the formula involving material properties and dimensions. The pressure (P) is determined to be 899.947 kPa, utilizing the relationship between stress, dimensions, and material characteristics. These calculations are essential for understanding the mechanical behavior of thin-walled structures under load.

PREREQUISITES
  • Understanding of thin-walled cylinder theory
  • Familiarity with stress and pressure calculations
  • Knowledge of material properties relevant to engineering
  • Proficiency in using engineering equations for structural analysis
NEXT STEPS
  • Research the derivation of stress formulas for thin-walled cylinders
  • Explore the implications of material properties on stress calculations
  • Learn about the applications of thin-walled cylinder analysis in engineering
  • Investigate advanced topics in pressure vessel design standards
USEFUL FOR

Mechanical engineers, structural analysts, and students studying materials science or mechanical engineering will benefit from this discussion, particularly those focused on stress analysis in cylindrical structures.

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Homework Statement


media%2Ff99%2Ff995b7c8-0a4a-4d2c-b475-a2f2d8e73480%2FphpBa174X.png


Homework Equations

The Attempt at a Solution



a)
stressc = 3.1 x 109 (5655*10^(-6) + 0.471 (-2663*10^-6)
= 17.53Mpa
P = [17.53 x 10^6 x (7.7 / 1000) ] / (150 / 1000)
= 899 947pa
= 899.947kPa
 
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