What pressure would a strain of 40 µε indicate?

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SUMMARY

The discussion centers on calculating the maximum allowable pressure for a cylindrical pressure vessel with a 2m diameter and 4m length, using a factor of safety of 4. The Young's Modulus is 290 GN/m² and the Yield Stress is 500 MPa. The maximum allowable pressure, calculated using the hoop stress formula, is determined to be 0.75 MPa after dividing the calculated hoop stress of 3 MPa by the safety factor. Additionally, the pressure corresponding to a strain of 40 µε requires the application of Hooke's Law in three dimensions, considering the relationship between hoop and axial stresses.

PREREQUISITES
  • Understanding of hoop stress in cylindrical vessels
  • Familiarity with Young's Modulus and Yield Stress concepts
  • Knowledge of Hooke's Law in three-dimensional stress conditions
  • Basic algebra for solving linear equations
NEXT STEPS
  • Study the derivation and application of the hoop stress formula for cylindrical vessels
  • Learn about the implications of safety factors in pressure vessel design
  • Research Hooke's Law and its application in three-dimensional stress analysis
  • Explore the significance of Poisson's ratio in material deformation
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Engineering students, mechanical engineers, and professionals involved in pressure vessel design and analysis will benefit from this discussion.

  • #61
i m just using the calculator from my laptop,and i was getting that result,thank you for your help if there is anything i can help you,just tell me
 
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  • #62
Hello I have literally just started question 5c and question 6 and I'm a bit stuck, can anyone help me out?

Thanks in advance.
 

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