Understanding 2D and 3D Stress: Differences and Applications Explained"

  • Thread starter Thread starter Kongys
  • Start date Start date
  • Tags Tags
    2d 3d Stress
Click For Summary
2D and 3D stress analysis differ significantly, particularly in calculating maximum principal stress under various loading conditions. 2D stress formulas are often applied in mechanical and structural engineering, where complex problems can be simplified into multiple 2D analyses, such as in the case of a steel cylinder rod under multi-axial loading. In contrast, 3D stress analysis is crucial in fields like geotechnical engineering and fluid mechanics, which involve continuum mechanics. The ability to reduce 3D problems into manageable 2D sections enhances analysis efficiency. Understanding when to apply each method is essential for accurate stress evaluation in engineering applications.
Kongys
Messages
8
Reaction score
0
Dear all,

I having a trouble in defining 2D and 3D stress . As I know Maximum principal stress in 2D and 3D cases is totally different. In which condition we should apply 2D stress formula and when we need to use 3D stress formula?
 
Physics news on Phys.org
Do you have a particular application or area of application in mind?
 
Studiot said:
Do you have a particular application or area of application in mind?

If like deflection of a steel cylinder rod with multi axial loading? In this case axial load , torsional load and bending load is applied.
 
Such a system can be reduced to several simultaneous 2D problems, which are easier to handle than a 3D one.

This is because you can take sections along the cylinder.

Much of mechanical and structural engineering stress analysis can be accomplished by either direct 2D analysis or reducing the problem to a series of 2D analyses as above.

The most common place to find the need for 3D analysis is in geotechnical engineering and fluid mechanics.

Both disciplines usually deal with what is known as continuum mechanics.
 
Studiot said:
Such a system can be reduced to several simultaneous 2D problems, which are easier to handle than a 3D one.

This is because you can take sections along the cylinder.

Much of mechanical and structural engineering stress analysis can be accomplished by either direct 2D analysis or reducing the problem to a series of 2D analyses as above.

The most common place to find the need for 3D analysis is in geotechnical engineering and fluid mechanics.

Both disciplines usually deal with what is known as continuum mechanics.

I think I got some idea with that, thanks for your sharing.
 
Thread 'What is the pressure of trapped air inside this tube?'
As you can see from the picture, i have an uneven U-shaped tube, sealed at the short end. I fill the tube with water and i seal it. So the short side is filled with water and the long side ends up containg water and trapped air. Now the tube is sealed on both sides and i turn it in such a way that the traped air moves at the short side. Are my claims about pressure in senarios A & B correct? What is the pressure for all points in senario C? (My question is basically coming from watching...

Similar threads

Replies
8
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
Replies
6
Views
2K
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K