INFO 1: A block of material is machined as a cube with edge length equal to...
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INFO 1: A block of material is machined as a cube with edge length equal to 10.000 cm at room 10.006 cm. INFO 2: After cooling back to room temperature, you put the block in a vise so that the dimensi unconstrained dimension of the block is 10.008. Calculate Poisson's ratio of the block, assuming that the material is elastically and thermally isotr V = NOTE: WIRIS will provide hints if you do not correctly answer the problem. These hints are repea HINT 1: INFO 1 provides enough information to calculate the coefficient of thermal expansion. HINT 2: INFO 2 provides the dimensions of the block before and after heating. Use this info to calculate ti vise. Now write that strain_11 = strain_11(elastic) + strain_11(thermal). strain_11(elastic) can be written Do the same procedure for strain_22 and strain_33. You know the numerical values of 7 quantities: strain_11, strain_22, and strain_33 from INFO 2 strain_11(thermal), strain_22(thermal), and strain_33(thermal) from INFO 1 One of the stress components (it must be zero based on INFO 2). Rearrange your expressions for strain_11, strain_22, and strain_33 to solve for Poisson's ratio. INFO 1: A block of material is machined as a cube with edge length equal to 10.000 cm at room 10.006 cm. INFO 2: After cooling back to room temperature, you put the block in a vise so that the dimensi unconstrained dimension of the block is 10.008. Calculate Poisson's ratio of the block, assuming that the material is elastically and thermally isotr V = NOTE: WIRIS will provide hints if you do not correctly answer the problem. These hints are repea HINT 1: INFO 1 provides enough information to calculate the coefficient of thermal expansion. HINT 2: INFO 2 provides the dimensions of the block before and after heating. Use this info to calculate ti vise. Now write that strain_11 = strain_11(elastic) + strain_11(thermal). strain_11(elastic) can be written Do the same procedure for strain_22 and strain_33. You know the numerical values of 7 quantities: strain_11, strain_22, and strain_33 from INFO 2 strain_11(thermal), strain_22(thermal), and strain_33(thermal) from INFO 1 One of the stress components (it must be zero based on INFO 2). Rearrange your expressions for strain_11, strain_22, and strain_33 to solve for Poisson's ratio.
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