How Does Stress Affect a Hollow Pipe When Force Is Uniformly Applied?

In summary, the effects of stress on a hollow pipe under uniformly applied force can lead to deformation and potential failure. When force is applied, the internal pressure and external forces create stress concentrations within the material. This can result in changes to the pipe's shape, such as bending or twisting, depending on the force's magnitude and distribution. The material's properties, such as yield strength and ductility, play a crucial role in determining how the pipe responds to the applied stress, with excessive force potentially leading to structural failure. Understanding these dynamics is essential for designing safe and effective piping systems in engineering applications.
  • #1
Mohmmad Maaitah
90
20
Homework Statement
Determine the average normal stress on the cross
section. Sketch the normal stress distribution over the
cross section.
Relevant Equations
σ = F/A
Hi, I've problem thinking about this problem
isn't the force acting on "nothing"?
how can there be any stress, I'm lost!
1709828712546.png
 
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  • #2
Is there more to the problem statement? What is that a sketch of? Is it a cylinder of one material inside a pipe of another material? Or a hollow pipe with the force applied uniformly across the top surface of the hollow pipe?
 
  • #3
hollow pipe with the force applied as in the picture, that's my problem, it's not clear enought to me
 
  • #4
Others may have better replies than mine, but my interpretation is that the total force shown is applied uniformly across the exposed top area of the hollow pipe. Kind of like a thick steel plate were pressing down on the top of the pipe with that total force. Can you show us your work for that situation?
 
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Likes Lnewqban and erobz
  • #5
Mohmmad Maaitah said:
Homework Statement: Determine the average normal stress on the cross
section. Sketch the normal stress distribution over the
cross section.
Relevant Equations: σ = F/A

Hi, I've problem thinking about this problem
isn't the force acting on "nothing"?
how can there be any stress, I'm lost!
It is important not to confuse a force with its representation.
Note that the question is in reference to a specific cross section.
Nothing indicates that the compressing load is applied at that specific section.

Any load is felt by the material resisting it as a chain reaction from molecule to molecule.
The normal calculation in these cases is directed to determine what group of molecules are feeling the higher value of stress, which may or not surpass their bonding forces, leading to a failure.

 
  • #6
They expect you to assume that the compression force is distributed uniformly over the cross section of inside radius 80 mm and outside radius 100 mm.
 
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  • #7
berkeman said:
Others may have better replies than mine, but my interpretation is that the total force shown is applied uniformly across the exposed top area of the hollow pipe. Kind of like a thick steel plate were pressing down on the top of the pipe with that total force. Can you show us your work for that situation?
I didn't do any work because expect saying "it's zero".
I got it know, thank you all!
 
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Likes Lnewqban

FAQ: How Does Stress Affect a Hollow Pipe When Force Is Uniformly Applied?

What is the basic concept of stress in a hollow pipe when force is uniformly applied?

Stress in a hollow pipe when a force is uniformly applied refers to the internal forces per unit area that develop within the pipe material to resist deformation. This stress can be axial (along the length of the pipe), radial (perpendicular to the surface), or circumferential (around the pipe's circumference), depending on how the force is applied.

How is axial stress calculated in a hollow pipe under uniform force?

Axial stress in a hollow pipe under a uniformly applied force is calculated using the formula: σ = F / A, where σ is the axial stress, F is the applied force, and A is the cross-sectional area of the pipe. For a hollow pipe, the cross-sectional area is the difference between the area of the outer circle and the inner circle.

What factors influence the stress distribution in a hollow pipe?

The stress distribution in a hollow pipe is influenced by several factors, including the magnitude and direction of the applied force, the pipe's material properties (such as Young's modulus), the pipe's geometry (inner and outer diameters), and any existing imperfections or residual stresses within the pipe material.

How does the wall thickness of a hollow pipe affect its ability to withstand stress?

The wall thickness of a hollow pipe significantly affects its ability to withstand stress. Thicker walls generally mean the pipe can handle higher stress levels because the material can distribute the applied force over a larger area, reducing the stress intensity. Conversely, thinner walls may lead to higher stress concentrations and a greater likelihood of material failure.

What are the common failure modes of a hollow pipe under uniform stress?

Common failure modes of a hollow pipe under uniform stress include yielding (permanent deformation), buckling (sudden lateral deflection), and fracture (cracking or breaking). The specific failure mode depends on the material properties, the magnitude of the applied stress, and the pipe's geometric characteristics.

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