Convert Tangential Stress Around Circular Hole to XY Co-ordinates

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In summary, the conversation discusses the possibility of converting tangential stress around a circular hole into x-y co-ordinates or vice-versa, for the purpose of comparing analytical values with FEM results. The suggestion is to use tensor transformation rules, similar to those for vectors, and to consult resources such as Mohr's circle in strength of materials textbooks for guidance.
  • #1
aidiot
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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
 
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  • #2
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
 
  • #3
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?
 
  • #4
Look up Mohr's circle, in any strength of materials textbook.
 

1. What is tangential stress?

Tangential stress, also known as shear stress, is a type of stress that occurs when two surfaces are sliding against each other in opposite directions. It is calculated as the force applied divided by the area over which it acts.

2. How is tangential stress around a circular hole converted to XY coordinates?

In order to convert tangential stress around a circular hole to XY coordinates, the stress must first be resolved into two components: one parallel to the X-axis and one parallel to the Y-axis. This can be done using trigonometry and the angle of the hole with respect to the X-axis.

3. Why is it important to convert tangential stress to XY coordinates?

Converting tangential stress to XY coordinates allows for a more accurate representation of the stress distribution around the circular hole. It also allows for easier comparison and analysis of the stress values in different directions.

4. What factors can affect the tangential stress around a circular hole?

The tangential stress around a circular hole can be affected by various factors such as the size and shape of the hole, the material properties of the surrounding material, and the applied load or force.

5. Are there any limitations to converting tangential stress to XY coordinates?

Yes, there are some limitations to converting tangential stress to XY coordinates. This method assumes that the stress distribution is uniform around the circular hole, which may not always be the case. Additionally, it does not take into account any stress concentrations that may occur near the edges of the hole.

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