1) The displacement field in a material is: u= A(3x - y), v = Axy a)...

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1) The displacement field in a material is: u= A(3x - y), v = Axy a) Calculate the strains (x, &y, and yxy) as function of x, y and A. b) Sketch the deformations of a differential (tiny) square around the point (1,1). Assume A is a positive constant. c) Assuming plane stress, calculate the stresses and the out-of-plane strain at the point (1,1) if A = 0.01, E = 100, v = 0.1. d) Assuming plane strain, calculate the out-of-plane stress at the point (1,1) if A = 0.01, E = 100, v = 0.1. 1) The displacement field in a material is: u= A(3x - y), v = Axy a) Calculate the strains (x, &y, and yxy) as function of x, y and A. b) Sketch the deformations of a differential (tiny) square around the point (1,1). Assume A is a positive constant. c) Assuming plane stress, calculate the stresses and the out-of-plane strain at the point (1,1) if A = 0.01, E = 100, v = 0.1. d) Assuming plane strain, calculate the out-of-plane stress at the point (1,1) if A = 0.01, E = 100, v = 0.1.

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Youve presented a mechanics of materials problem involving the calculation of strains and stresses given a displacement field in a material Lets addre... View the full answer