1) (30 points) A body is strained so that x = 0.002,yy = -0.002,12 0.002,22 =...

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1) (30 points) A body is strained so that x = 0.002,yy = -0.002,12 0.002,22 = Exy = y = 0. Derive, but do not solve, the equations which de- termine the directions of the sides of a cubic element in the body whose angles are preserved after deformation. Hint: Think about what are zero for principal planes of stress and apply the same concept to this problem for strain. 1) (30 points) A body is strained so that x = 0.002,yy = -0.002,12 0.002,22 = Exy = y = 0. Derive, but do not solve, the equations which de- termine the directions of the sides of a cubic element in the body whose angles are preserved after deformation. Hint: Think about what are zero for principal planes of stress and apply the same concept to this problem for strain.