Mohr's circle with weld across element

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The discussion revolves around the application of Mohr's circle to a problem involving induced loading elements and a weld across an element. The user is uncertain whether to measure an angle of 78° clockwise or anticlockwise from the Y-axis when constructing Mohr's circle. There is also a query regarding the necessity of using Mohr's circles for the solution and a request for the algebraic equations for calculating principal stresses and directions. The conversation highlights the need for clarity on angle measurement and alternative methods for solving the problem. Understanding these concepts is crucial for accurately analyzing stress in the given scenario.
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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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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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