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

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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.
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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?
 
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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.
 
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