The state of stress at a point is the result of two loadings. When acting separa

Question

The state of stress at a point is the result of two loadings. When acting separately, the loadings produce the two states of stress shown in the figure. If the two loadings are applied simultaneously, find the principal stresses and the principal planes. Show the results on properly oriented elements.

The answers are:
Principal stresses = 38.3MPa and -18.3MPa
The corresponding angle is 22.5 degrees

I just don't know how to get those answers

Here's the link to the image: Problem 8.64
http://books.google.com/books?id=vVpHJEsRqs8C&pg=PA314&lpg=PA314&dq=%22The+state+of+stress+at+a+point+is+the+result+of+two+loadings.+When+acting+separately%22&source=bl&ots=AkXflFEqEJ&sig=YcDRFE5OgvXb-ZJMc9OEFadjXJY&hl=en&ei=pUpFTrDKEvLQiALwhqnSAQ&sa=X&oi=book_result&ct=result&resnum=1&ved=0CBYQ6AEwAA#v=onepage&q=%22The%20state%20of%20stress%20at%20a%20point%20is%20the%20result%20of%20two%20loadings.%20When%20acting%20separately%22&f=false

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