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Problem 2 (Winter 2011 Midterm) A rectangular plate lying on the xy plane has sides 2 in the x direction and in the y

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Problem 2 (Winter 2011 Midterm) A rectangular plate lying on the xy plane has sides 2 in the x direction and in the y direction, thickness h in direction z, and is made of a material with Young's modulus E, Poisson's ratio v, and shear modulus G. The plate is first subjected to the state of stress in Figure A. Then, a shear stress is also imposed, as shown in figure B, where 7 = 10. Under the state of stress in Figure A, determine: a) the elongations in the x and y directions; b) the change in thickness in the z direction; c) the change in angle a. Under the state of stress in Figure B, determine d) the elongations in the x and y directions; the change in thickness in the z direction; the change in angle . e) f) x 2l Figure A l 2l Figure B

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