01 Thin cylindrical pressure vessel Theory Part I | Hoop Stress | Longitudinal stress
Автор: Sunil Mohod
Загружено: 2023-04-04
Просмотров: 777
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A thin cylindrical pressure vessel is a type of container that is commonly used in industrial applications for storing and transporting gases and liquids under pressure. It consists of a cylindrical shell with closed ends that are designed to withstand the internal pressure generated by the contents of the vessel.
The theory behind a thin cylindrical pressure vessel is based on the concept of stress and strain, which are the forces that act on the material of the vessel as a result of the internal pressure. The two main types of stress that are generated in a thin cylindrical pressure vessel are hoop stress and longitudinal stress.
Hoop stress is the stress that acts circumstantially around the circumference of the vessel, perpendicular to the longitudinal axis. It is calculated using the formula:
Hoop stress = (internal pressure x radius) / thickness
where the internal pressure is the pressure exerted by the contents of the vessel, the radius is the distance from the center of the vessel to the outer edge, and the thickness is the thickness of the shell.
Longitudinal stress, on the other hand, is the stress that acts along the length of the vessel, parallel to the longitudinal axis. It is calculated using the formula:
Longitudinal stress = (internal pressure x radius) / (2 x thickness)
where the radius and thickness are the same as in the hoop stress formula.
Both hoop stress and longitudinal stress must be taken into account when designing a thin cylindrical pressure vessel, as they can cause the vessel to deform or fail if they exceed the yield strength of the material. To ensure the safety and reliability of the vessel, engineers must carefully calculate the required thickness and select a material with appropriate strength and other properties.
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