Solution-Quiz-Fall2010-5-v1_v2

Solution-Quiz-Fall2010-5-v1_v2 - EML 4507 Fall 2010 Quiz...

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EML 4507 Fall 2010 Quiz 5-v1 Solution The coordinate of the nodes and corresponding displacements in a triangular element are given in the table. 1. Calculate the displacements u and v and strains xx , yy , and xy at the centroid of the element given by the coordinates (1, 1) 2. If E =200 GPa, G =100 GPa and ≈0 calculate the stresses x , y and xy . Assume a state of plane stress. Node x (mm) y (mm) u (mm) v (mm) 1 0 0 0 0 2 3 0 0.3 0.6 3 0 3 0 0.3 Solution Use Eq. (6.6) in the book to find 's. 11 22 33 1 0 0 0 1 3 0 0.3 1 0 3 0 u u u       Solving we obtain 1 2 3 0 0.1 0 Then 1 2 3 (1,1) 0.1mm u Similarly we find v (1,1) as follows: 1 0 0 0 1 3 0 0.6 1 0 3 0.3 v v v              
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This note was uploaded on 06/07/2011 for the course EML 4507 taught by Professor Kim during the Fall '11 term at University of Florida.

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Solution-Quiz-Fall2010-5-v1_v2 - EML 4507 Fall 2010 Quiz...

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