prob_08_02_01 - := T ( ) 0.985 0.015 0.244 0.015 0.985...

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Problem 8.2-1 Let [E'] be 3 by 3, as for a plane stress problem. Show that Eq. 8.2-10 yields [E']=[E] if the material is isotropic. Solution: For Plane Stress, Isotropic Material Em E 1 ν 2 1 ν 0 ν 1 0 0 0 1 ν 2 = Assume an arbitrary angle and ν values: θ 0.123 := ν 0.3 := T ε θ () cos θ () 2 sin θ () 2 2 cos θ ( ) sin θ () sin θ () 2 cos θ () 2 2 cos θ ( ) sin θ () cos θ ( ) sin θ () cos θ () sin θ () cos θ () 2 sin θ () 2 ()
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Unformatted text preview: := T ( ) 0.985 0.015 0.244 0.015 0.985 0.244 0.122 0.122 0.97 = Factoring out E 1 2 the transformation is: T ( ) T 1 1 1 2 T ( ) 1 0.3 0.3 1 0.35 =...
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This note was uploaded on 01/11/2011 for the course MAE 5020 taught by Professor Folkman during the Fall '10 term at Utah State University.

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