Mohr's circle with weld across element

In summary, Mohr's circle is a useful tool for analyzing the stress state at a point in a material, particularly when there is a weld across an element. It allows us to visualize and analyze changes in stress distribution caused by welds and can help identify potential failure points. Mohr's circle can be used for all types of welds, but the accuracy of results may vary based on the type of weld and its position on the element.
  • #1
ridiculoid
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Homework Statement


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problem - https://imgur.com/SKeTUXN

Homework Equations



Mohrs circle

The Attempt at a Solution


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I have drawn 2 induced loading elements (shown at the bottom of of my working) I just seem to have conflicting information from some class examples and am wondering whether I take the 78° clockwise or anticlockwise from the Y axis of the element.

Mohrs circle working - https://imgur.com/YPtVNSb
 
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  • #2
Who says that you have to solve this using Mohr's circles? What are the algebraic equation for the principal stresses and the principal directions for this problem?
 

Related to Mohr's circle with weld across element

1. What is Mohr's circle and how is it used in relation to welds across an element?

Mohr's circle is a graphical method used to determine the state of stress at a point in a material subjected to any type of loading. When there is a weld across an element, the stress state at that point is altered, and Mohr's circle can be used to visualize and analyze the change in stress state.

2. What is the significance of a weld in Mohr's circle?

A weld can create a discontinuity in the material, which can result in changes in the stress distribution and can lead to failure. Mohr's circle can help identify these changes and provide valuable information for designing and analyzing structures with welds.

3. How is Mohr's circle used to analyze welds across an element?

Mohr's circle allows us to determine the principal stresses and maximum shear stress at a specific point in the material. This information can be used to assess the strength and stability of the structure and determine if the weld is likely to fail under the given loading conditions.

4. Can Mohr's circle be used for all types of welds across an element?

Yes, Mohr's circle can be used for any type of weld across an element, including fillet welds, butt welds, and plug welds. However, the accuracy of the results may vary depending on the type of weld and the material being used.

5. How does the position of the weld affect the results on Mohr's circle?

The position of the weld can greatly influence the stress state at a point, as it can create stress concentrations or alter the distribution of stresses. Therefore, it is important to consider the location of the weld when analyzing the results on Mohr's circle.

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