A thin cylindrical shell under internal pressure can fail along thea)...
Type of failure:Such a component fails when subjected to an excessively high internal pressure. While it might fail by bursting along a path following the circumference of the cylinder. Under normal circumstances, it fails by bursting along a path parallel to the axis. This suggests that the hoop stress is significantly higher than the axial stress.
When a thin cylindrical shell is subjected to internal pressure, it is likely to fail in the following two ways:
1. It may fail along the longitudinal section (i.e., circumferentially), splitting the cylinder into two troughs
2. It may fail across the transverse section (i.e., longitudinally), splitting the cylinder into two cylindrical shells
Failure of a cylindrical shell along the longitudinal section and Failure of a cylindrical shell along the transverse section
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A thin cylindrical shell under internal pressure can fail along thea)...
Understanding Failure Modes of a Thin Cylindrical Shell
A thin cylindrical shell subjected to internal pressure can fail due to various factors. The failure can occur along specific joints, and understanding these is crucial in engineering applications.
Failure Along Longitudinal and Circumferential Joints
- Circumferential Joint Failure: This is typically the primary failure mode. The internal pressure exerts a hoop stress, which is greatest at the circumferential direction. As a result, the shell is more susceptible to failure here.
- Longitudinal Joint Failure: While the longitudinal direction has lower stress compared to the circumferential, it can still fail under significant internal pressure. This is especially true if there are defects or weaknesses along the joint.
Combined Failure Potential
- Simultaneous Failure: In many cases, the failure can occur along both the longitudinal and circumferential joints. This is due to imperfections in the material or construction that may lead to weaknesses in both directions.
- Material Fatigue and Flaws: Over time, materials can experience fatigue, and any pre-existing flaws can exacerbate the risk of failure in either direction.
Conclusion
In summary, the correct answer to the failure modes of a thin cylindrical shell under internal pressure is option 'C'—the potential for failure along both longitudinal and circumferential joints. Understanding these failure mechanisms is vital for ensuring the integrity and safety of cylindrical pressure vessels in various applications.
A thin cylindrical shell under internal pressure can fail along thea)...
Type of failure:Such a component fails when subjected to an excessively high internal pressure. While it might fail by bursting along a path following the circumference of the cylinder. Under normal circumstances, it fails by bursting along a path parallel to the axis. This suggests that the hoop stress is significantly higher than the axial stress.
When a thin cylindrical shell is subjected to internal pressure, it is likely to fail in the following two ways:
1. It may fail along the longitudinal section (i.e., circumferentially), splitting the cylinder into two troughs
2. It may fail across the transverse section (i.e., longitudinally), splitting the cylinder into two cylindrical shells
Failure of a cylindrical shell along the longitudinal section and Failure of a cylindrical shell along the transverse section