The general from for a three-dimensional stress field is given by Where the diagonal terms represent tensile

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The general from for a three-dimensional stress field is given by

Where the diagonal terms represent tensile or compressive stresses and the off-diagonal terms represent shear stresses. A stress field (in MPa) is given by

To solve for the principal stresses, it is necessary to construct the following matrix (again in MPa):

?₁, ?₂, and ?₃, can be solved from the equation

?₃, - 1?² + 11? ? 111 = 0?

?Where

1, 11, and 111 are known as the stress invariants. Find ?₁, ?₂, and ?₃, using a root-finding technique.

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Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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Question Posted: Nov 17, 2011 10:46 AM

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The general from for a three-dimensional stress field is given by Where the diagonal terms represent tensile

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Orr Ory Oxz Oxy dyy Oy:

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Consider the following stress field according to the data Now after e...View the full answer

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