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
USEFUL FOR
Engineering students, mechanical engineers, and professionals involved in pressure vessel design and analysis will benefit from this discussion.