Discussion Overview
The discussion revolves around determining the maximum allowable pressure for a cylindrical pressure vessel and the pressure corresponding to a strain of 40 µε. Participants explore the application of material properties, such as Young's modulus and yield stress, in the context of pressure vessel design, including calculations involving hoop stress and strain.
Discussion Character
- Technical explanation
- Mathematical reasoning
- Debate/contested
- Homework-related
Main Points Raised
- One participant presents a hoop stress equation, σ = pr/t, and seeks assistance in applying it to find the pressure corresponding to a strain of 40 µε.
- Another participant questions the accuracy of the hoop stress being equated directly to pressure and asks what pressure would yield a hoop stress of 500 MPa.
- There is a discussion about the relationship between axial stress and hoop strain, with some participants suggesting that axial stress may be twice the hoop stress.
- Several participants express uncertainty about the correct equations to use, with one suggesting the need for Hooke's law in three dimensions for plane stress conditions.
- One participant mentions their background as a distance learning student and their reliance on the forum for assistance in understanding the concepts.
- There is a debate over whether to divide the calculated maximum pressure by the safety factor of 4, with some participants affirming this approach while others question the yield criterion being applied.
- One participant discusses anisotropic yield criteria and its relevance to the problem, indicating that the situation does not reach large plastic deformations.
- Another participant shares their calculations for pressure and yield stress, seeking verification of their approach and results.
Areas of Agreement / Disagreement
Participants express differing views on the application of yield criteria and the correct approach to calculating pressures. There is no consensus on the final answers for the maximum allowable pressure or the pressure corresponding to a strain of 40 µε, as multiple competing views remain throughout the discussion.
Contextual Notes
Participants note limitations in their understanding of yield stress criteria and the need for specific material properties, such as Poisson's ratio, to apply certain equations correctly. The discussion reflects varying levels of familiarity with the relevant concepts and equations.