ps6 - Massachusetts Institute of Technology Biological...

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Massachusetts Institute of Technology Biological Engineering Division Department of Mechanical Engineering Department of Electrical Engineering and Computer Science 2.797/20.310/3.0536.024, Fall 2006 Problem Set # 6 Issued: 11/4/06 D u e : 1 1 / 9 / 0 6 Problem 1 A small specimen of an isotropic homogeneous linear elastic (properties E and ± ) membrane is tested in biaxial tension as indicated in the figure below. The dimensions of the specimen in its unloaded configuration are L 1 x L 2 (in plane) x h (thickness). The
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(b) Obtain expressions for all the components of the strain tensor. (c) Obtain expressions for the dimensions of the loaded membrane. (d) With the following values of the data: L 1 = 1cm L 2 = 2cm h = 0.5 mm E = 2MPa ± = 0.4 the deformed dimensions of the specimen where found to be 1.1cm (along the 1 axis) x 2.05 cm (along the 2-axis). What are the magnitudes of the applied loads P
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ps6 - Massachusetts Institute of Technology Biological...

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