Mohr's circle with weld across element

[ridiculoid]

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

 

[Chestermiller]

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?