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

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    2d 3d Stress
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Discussion Overview

The discussion revolves around the definitions and applications of 2D and 3D stress, particularly in the context of mechanical and structural engineering. Participants explore when to apply 2D stress formulas versus 3D stress formulas, with a focus on specific applications such as the deflection of a steel cylinder rod under multi-axial loading.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses difficulty in defining 2D and 3D stress and notes that the maximum principal stress differs between the two cases.
  • Another participant inquires about specific applications related to the topic.
  • A participant suggests that for a steel cylinder rod under multi-axial loading (axial, torsional, and bending loads), the problem can be approached as several simultaneous 2D problems, which may be easier to analyze than a full 3D problem.
  • It is mentioned that much of mechanical and structural engineering stress analysis can be conducted using direct 2D analysis or by reducing problems to a series of 2D analyses.
  • Participants note that 3D analysis is often necessary in fields like geotechnical engineering and fluid mechanics, which deal with continuum mechanics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definitions and applications of 2D and 3D stress, as multiple viewpoints and approaches are presented without resolution.

Contextual Notes

Some assumptions about the applicability of 2D versus 3D stress analysis remain unaddressed, and the discussion does not resolve the complexities involved in transitioning between these two approaches.

Kongys
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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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