Convert Tangential Stress Around Circular Hole to XY Co-ordinates

  • Thread starter Thread starter aidiot
  • Start date Start date
Click For Summary

Discussion Overview

The discussion revolves around the conversion of tangential stress around a circular hole into x-y coordinates, particularly in the context of comparing results from a finite element method (FEM) package with analytical values derived from Peterson's Stress Concentration Factors. The scope includes theoretical and practical aspects of stress transformation.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant inquires about the possibility and method of converting tangential stress to x-y coordinates for comparison with analytical values.
  • Another participant notes that stress is a tensor and can be transformed to another coordinate system using tensor transformation rules, which are similar to those for vectors.
  • A subsequent reply requests clarification on how to apply these transformation rules specifically for the case of tangential stress around a circular hole.
  • Another participant suggests looking up Mohr's circle in strength of materials textbooks as a potential resource for understanding the transformation process.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the specific method for performing the conversion, and multiple viewpoints regarding the approach remain present.

Contextual Notes

The discussion does not resolve the specific mathematical steps required for the transformation, and assumptions regarding the coordinate systems and stress definitions are not fully articulated.

aidiot
Messages
4
Reaction score
0
Is it possible to convert the tangential stress around a circular hole into x-y co-ordinates or vice-versa? and if so, how?

basically, i have results in sigma xx and sigma yy for certain points along the circumference from an FEM package, which need to be compared with analytical values. the analytical values, calculated using the formula found in Peterson's Stress Concentration Factors, give the tangential stress. how can i compare these.

any help appreciated... thanks in advance
 
Engineering news on Phys.org
remember that a stress is a tensor,
but of course any tensor can be converted to another system of coordinate,
by the tensor transformation rules which are very similar to those for a vector
 
lalbatros said:
remember that a stress is a tensor,
but of course any tensor can be converted to another system of coordinate,
by the tensor transformation rules which are very similar to those for a vector

thanks for that, but how does one go about doing this for this case?
 
Look up Mohr's circle, in any strength of materials textbook.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
5K
Replies
5
Views
35K
  • · Replies 124 ·
5
Replies
124
Views
18K
  • · Replies 3 ·
Replies
3
Views
741
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K