m17_ps13_fall03 - principal directions via the eigenvalue...

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Unified Engineering I Fall 2003 Problem M17 In question M16. You had a state of strain: Given a state of plane strain: e 11 = -0.000200, e 22 = +0.000400, e 12 = -0.000200, do the following: a) If a strain gauge rosette, with three gauges at 60° to each other was placed with one of the gauges orientated along the x 1 direction. What strains would the three gauges read? b) By representing the strains as a matrix calculate the principal strains and
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Unformatted text preview: principal directions via the eigenvalue and eigenvectors of the matrix. Show that this is consistent with the values you calculated in M16. c) If the state of strain was no longer plane strain, and was now e 11 = -0.000200, e 22 = +0.000400, e 12 = -0.000200, e 33 = 0.000300, e 23 = 0, e 123 = 0. What would the principal strains now be?...
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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