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University of WashingtonCEE 220HW7Sp2014SolutionPart1

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CEE 220 Homework No. 7 Solution - Part 1 Reading Assignments: Please read the Torsion handouts. Problem Set For all problems, write a problem statement, provide sketches, and comment on your thoug ... ht process. Draw free body diagrams as applicable. 1. Strain Energy Density For plane stress, the strain energy density can be computed as: u = 1 2 σxx + 1 2 σ yy + 1 2 τ xyγxy For the following, it is safe to assume that for the given levels of stress and strain, the material behaves as a linear elastic isotropic material): (a) A thin titanium (Ti-6A1-4V with E = 17500 ksi, G = 6500 ksi and ν = 0:35) plate is subjected to the state of stress shown, determine the strain energy density (units of kip·in/in3). σy = 75 ksi τ xy = 85 ksi σx = 100 ksi (b) The same material is deformed in the manner shown below. Assuming that the distance δ = 1mm and the plate has original dimensions a = 1 m, determine the strain energy density [Show More]

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