Thought problem 2011

Thought problem 2011 - = ( xx + yy )/2 + ( xx- yy ) cos...

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Thought problem; Suppose you have an equilibrated element as shown below. This one is different, slightly, from the ones we did in class. Here, we know the shear stress on an angled plane, but we do NOT know one of the stresses we typically have…. Here, the unknown stress is σ yy . If we want to determine this stress, we can use our transformation equation in a different way….Consider σ nt (-20 o ) = 70 MPa…… σ nt (-20 o ) = 70 MPa
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Unformatted text preview: = ( xx + yy )/2 + ( xx- yy ) cos (-40 o ) + xy sin (-40 o ) But we also know KNOW xx = 20 MPa and xy = 40 MPa, so that we can actually SOLVE for the unknown stress yy ! In general, such problems are called INVERSE PROBLEMS since we are solving for values that we generally know and hence we have to invert the equation to obtain the value needed. \ 70MPa 40MPa 20MPa yy X Y 20 o...
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This note was uploaded on 12/12/2011 for the course EMCH 260 at USC.

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Thought problem 2011 - = ( xx + yy )/2 + ( xx- yy ) cos...

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