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1-28 - 64 Finite Element Analysis and Design 28 For a plane...

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64 Finite Element Analysis and Design 28. For a plane stress problem, the strain components in the x y plane at a point P are computed as 2 2 .125 10 , .25 10 xx yy xy (a) Compute the state of stress at this point if Young‟s modulus E = 2 10 11 Pa and Poisson‟s ratio = 0.3. (b) What is the normal strain in the z direction? (c) Compute the normal strain in the direction of n = {1, 1, 1} T . Solution: (a) Compute the state of stress at this point if Young‟s modulus E = 2 10 11 Pa and Poisson‟s ratio = 0.3 6 2 1 0 357 1 0 357 10 Pa 1 0 0 (1 ) / 2 385 0 (Plane Stress) xx xx yy yy xy xy zz xz yz E  
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