# Thick walled Pressure vessel -Principle stresses

• har_rai
In summary: The principle stresses are the normal stresses, with no shear component. Therefore, the formulae to use for calculating the principal stresses are the radial, hoop, and axial stresses. In summary, the conversation discusses calculating principal stresses for a pressurized, thick-walled pressure vessel. The three stresses involved are radial, hoop, and axial, and they must be added together to determine the principle stresses. The formulae used for calculating the principle stresses are the radial, hoop, and axial stresses, as there is no shear component involved.
har_rai

## Homework Statement

Hi, I trying to calculate principle stresses for pressure vessel (thick walled) which is pressurized from inside. I calculated all 3 stresses radial, hoop and axial and looking for what formulae to use to get to principle stresses.
thanks

## The Attempt at a Solution

Can we assume your thick walled pressure vessel is a cylinder?
The stresses must be added. But they are perpendicular and so are independent.

The radial stress is compressive, the other two tension. Hoop stress is usually twice the axial and so hoop stress is probably the limiting factor in a cylindrical vessel.

har_rai said:

## Homework Statement

Hi, I trying to calculate principle stresses for pressure vessel (thick walled) which is pressurized from inside. I calculated all 3 stresses radial, hoop and axial and looking for what formulae to use to get to principle stresses.
thanks

## The Attempt at a Solution

The radial, hoop, and axial stresses are the principal stresses in this system.

Chestermiller said:
The radial, hoop, and axial stresses are the principal stresses in this system.
Thanks for the reply. So there is no shear stress in this, only 3 normal stresses (radial, hoop and axial).

har_rai said:
Thanks for the reply. So there is no shear stress in this, only 3 normal stresses (radial, hoop and axial).
Correct.

## What is a thick walled pressure vessel?

A thick walled pressure vessel is a type of container used to hold fluids or gases under high pressure. It is typically made of metal and has a thick wall to withstand the internal pressure without deforming or bursting.

## What is the purpose of a thick walled pressure vessel?

The purpose of a thick walled pressure vessel is to store and transport fluids or gases at high pressure. It can also be used in various industrial processes such as chemical reactions, heat exchange, and storage of compressed gases.

## What are the principle stresses in a thick walled pressure vessel?

The principle stresses in a thick walled pressure vessel are the axial stress, hoop stress, and radial stress. These stresses are caused by the internal pressure and the geometry of the vessel.

## How are principle stresses calculated in a thick walled pressure vessel?

The principle stresses in a thick walled pressure vessel can be calculated using the Lamé equations, which take into account the vessel's geometry, material properties, and internal pressure. These equations can be solved using various analytical or numerical methods.

## What factors affect the principle stresses in a thick walled pressure vessel?

The principle stresses in a thick walled pressure vessel are affected by factors such as the vessel's dimensions, material properties, and internal pressure. Other factors that can influence the stresses include temperature, corrosion, and external loads.

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