Hoop longitude stress relationship is a theory that states that the hoop stress in a cylindrical object is proportional to the object’s longitudinal stress. This theory is used to predict the behavior of objects under various loads and conditions. However, the hoop longitude stress relationship does not always work and there are various factors that can affect its accuracy.

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There is no definitive answer to this question, as the hoop longitude stress relationship does not always work in all cases. While the hoop longitude stress relationship is typically used to predict the stress in a cylindrical object, there are many factors that can affect the results of this calculation. For example, the relationship does not account for the effects of temperature or pressure on the object, which can cause the stresses to be different than what is predicted. Additionally, the relationship is based on the assumption that the object is homogeneous, which is not always the case in real-world applications. As a result, the hoop longitude stress relationship is not always accurate and should be used with caution.

## What is the relationship between hoop and longitudinal stress?

A pipe’s hoop stress is the stress generated along the circumference of the pipe when it is under internal pressure. This type of stress increases the pipe’s diameter. The longitudinal stress is the stress generated along the length of the pipe when it is under internal pressure. This type of stress increases with the pipe’s length. The hoop stress is twice that of the longitudinal stress because the hoop stress is generated when the pipe is under internal pressure, while the longitudinal stress is generated when the pipe is not under internal pressure. The longitudinal joints of a pipe carry twice as much stress compared to the circumferential joints because the longitudinal joints are under more stress when the pipe is under internal pressure.

Longitudinal stress is the stress that acts along the length or axis of a cylinder. When a vessel has closed ends, the internal pressure acts on them to develop a force along the axis of the cylinder. This is known as the axial or longitudinal stress and is usually less than the hoop stress.

### Which relation is valid for hoop stress in thin cylinder

Pd is the symbol for palladium and t is the thickness of the material. The equation shows that the stress on the palladium layer is equal to the applied pressure divided by the thickness of the layer. The second equation shows that the maximum stress that the palladium layer can withstand is 12 times the applied pressure.

The hoop stress is the term used to describe the amount of pressure that is exerted on a cylindrical object. The hoop stress is usually much larger for pressure vessels, and so for thin-walled instances, radial stress is usually neglected. The hoop stress is a function of the external pressure, the external radius, and the radius of the cylinder or tube. The unit for hoop stress is MPa or psi.

## On what factor longitudinal stress depends on?

Yes, longitudinal stress depends upon area. This is because the larger the area, the more stress that can be applied to it without causing it to fail.

Longitudinal stress is a type of stress that is experienced by an object along its length due to the presence of equal and opposite deforming forces perpendicular to the area of cross-section. This type of stress can be caused by things like tension, compression, or torsion. Longitudinal stress can lead to things like elongation, shortening, or twisting of an object.

## What is hoop stress and longitudinal stress in thin cylinder?

In a thin shell, the circumferential stress is σ c = P d 2 t and Longitudinal stress will be half of the circumferential stress ie σ l = P d 4 t Hoop stress σ h = P d 2 t = σ 1.

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

### Is hoop stress or axial stress greater

It can be shown that the hoop and axial stresses in a pressure vessel are related to the internal pressure through the following equations:

where p is the internal pressure, d is the diameter of the cylinder, and t is the wall thickness.

The hoop stress has twice the magnitude of the axial stress.

Large longitudinal stresses are typically seen in thin-walled cylinders and pressure vessels. These structures are susceptible to failure if the longitudinal stresses exceed the yield strength of the material. Figure 2 shows an example of this type of failure.

## Why radial stress is neglected in thin cylinder?

The radial stress for a thick-walled cylinder is equal and opposite to the gauge pressure on the inside surface, and zero on the outside surface. The circumferential stress and longitudinal stresses are usually much larger for pressure vessels, and so for thin-walled instances, radial stress is usually neglected.

Circumferential stress, or hoop stress, is a type of normal stress that occurs in the tangential (azimuth) direction. This stress is caused by the internal pressure of a fluid that is contained within a cylindrical object (such as a pipe). The magnitude of the circumferential stress is determined by the internal pressure of the fluid and the wall thickness of the cylindrical object.

Axial stress, on the other hand, is a type of normal stress that is parallel to the axis of cylindrical symmetry. This stress is caused by the external forces that are exerted on a cylindrical object (such as a column). The magnitude of the axial stress is determined by the magnitude of the external forces and the cross-sectional area of the cylindrical object.

Lastly, radial stress is a type of normal stress that occurs in directions coplanar with but perpendicular to the symmetry axis. This stress is caused by the external forces that are exerted on a cylindrical object (such as a column). The magnitude of the radial stress is determined by the magnitude of the external forces and the radius of the cylindrical object.

### What is the difference between longitudinal stress and circumferential stress

The three main types of stress are circumferential, longitudinal, and radial. Circumferential stress is the stress that acts along the circumference, and is usually tensile in nature. Longitudinal stress is the stress that acts along the length, and is also usually tensile in nature. Radial stress is the stress that acts in the direction of the radius, and is usually compressive in nature.

There are two types of stress that can act on a body: longitudinal stress and tangential stress. Longitudinal stress is the kind of stress that acts on a body in the direction of its length. Tangential stress acts inward, towards the surface of the body.

## Which stress will be maximum in case of the thin cylindrical shell hoop stress longitudinal stress radial stress all of these?

Hoop stress is a type of stress that is created by the pressure of a fluid that is contained within a pipe or other type of enclosure. The pressure of the fluid creates a force on the walls of the pipe or enclosure that is perpendicular to the wall. This force is known as hoop stress. The hoop stress will be maximum at the inner radius of the pipe or enclosure and will be minimum at the outer radius.

The volume of a wire remains constant when subjected to tensile stress. This means that the percentage change in lateral strain is 2 %. The percentage change in longitudinal strain is 0 %.

## Conclusion

The forces exerted on a hoop depend on its radius R and its longitudinal stress σ. If the hoop is free to deform, then the forces will act to cause the hoop to contract in the direction of the longitudinal axis. The amount of contraction will be proportional to R and σ. If the hoop is constrained so that it cannot deform, then the longitudinal stress will not cause the hoop to contract.

There are many potential reasons why the hoop longitude stress relationship may not always work. One reason could be that the hoop longitude is not always accurate. Another reason could be that the stress on the pipe may not be evenly distributed. Additionally, the relationship may not work in all cases because the amount of stress caused by different factors (e.g. weight, pressure, temperature) may vary.