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# HW#4 - AE 322 Homework#4 Due Monday NOTE If you use MATLAB...

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AE 322 Homework #4 Due Monday, February 22, 2010 NOTE: If you use MATLAB ® , show your command sequence and output. 1. The components of a displacement field are (in meters): ( ) ( ) 2 4 32 3 20 10 , 2 10 , 10 , x yz u x u yz u z xy −− = +× = × =−× (a) Consider two points (2, 5, 7) and (3, 8, 9) in the undeformed configuration. Find the change in distance between these points. (b) Compute the components of the infinitesimal strain tensor. (c) Compute the components of the rotation tensor. (d) Does this displacement field satisfy compatibility? 2. For steel E = 207 GPa and ν = 0.3. Assume that the strain in a ( ) 123 ,, xxx frame at a given point is 0.004 0.001 0 0.006

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HW#4 - AE 322 Homework#4 Due Monday NOTE If you use MATLAB...

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