The general from for a three-dimensional stress field is given by Where the diagonal terms represent tensile
Question:
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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Consider the following stress field according to the data Now after e...View the full answer
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Related Book For 
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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