Mohr's circle with weld across element

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SUMMARY

The discussion centers on applying Mohr's Circle to analyze stresses in a welded element. The user is uncertain about the correct angle to use—78° clockwise or anticlockwise from the Y-axis—when determining principal stresses. The conversation also highlights the need for algebraic equations related to principal stresses and directions, indicating a gap in understanding the foundational concepts of Mohr's Circle. Visual aids, such as images of the working drawings, are referenced to clarify the problem.

PREREQUISITES
  • Understanding of Mohr's Circle for stress analysis
  • Familiarity with principal stresses and directions
  • Basic knowledge of induced loading elements
  • Ability to interpret graphical representations of stress states
NEXT STEPS
  • Study the derivation of principal stress equations in Mohr's Circle
  • Learn how to accurately draw and interpret Mohr's Circle diagrams
  • Research the effects of welding on stress distribution in materials
  • Explore examples of stress analysis in welded components
USEFUL FOR

Students in mechanical or civil engineering, structural analysts, and professionals involved in stress analysis of welded structures will benefit from this discussion.

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Homework Statement


[/B]
problem - https://imgur.com/SKeTUXN

Homework Equations



Mohrs circle

The Attempt at a Solution


[/B]
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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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?
 

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