Below is an illustration of a single triangular element that was used to mesh an aerospace...

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Below is an illustration of a single triangular element that was used to mesh an aerospace component for a 2D (i.e., plane stress) mechanical analysis. The coordinates of each node are given in mm (node numbers are circled and red). (0, 0.31) Node 1 3 2 3 (0.86, 1.4) 2 Node coordinates are in mm. After being subject to mechanical loading, the following displacements are observed for each of the nodes: (0.95, 0) u (mm) -1.1 x 10-4 3.4 x 10-5 8 x 10-6 v (mm) -9 x 10-6 -3.9 × 10-5 2.5 x 10-4 a) As thoroughly as you can, quantitatively characterize all three components of in-plane strain, Exx, Exy, and Eyy. b) Assume that the body that this element is being used to model is built with 7075 Aluminum alloy. Using a single value for each component of strain, compute all three components of in-plane stress, Oxx, xy, and Øyy. c) Given properties of 7075 Aluminum and your obtained stress results, is this situation safe? Below is an illustration of a single triangular element that was used to mesh an aerospace component for a 2D (i.e., plane stress) mechanical analysis. The coordinates of each node are given in mm (node numbers are circled and red). (0, 0.31) Node 1 3 2 3 (0.86, 1.4) 2 Node coordinates are in mm. After being subject to mechanical loading, the following displacements are observed for each of the nodes: (0.95, 0) u (mm) -1.1 x 10-4 3.4 x 10-5 8 x 10-6 v (mm) -9 x 10-6 -3.9 × 10-5 2.5 x 10-4 a) As thoroughly as you can, quantitatively characterize all three components of in-plane strain, Exx, Exy, and Eyy. b) Assume that the body that this element is being used to model is built with 7075 Aluminum alloy. Using a single value for each component of strain, compute all three components of in-plane stress, Oxx, xy, and Øyy. c) Given properties of 7075 Aluminum and your obtained stress results, is this situation safe?

Answer rating: 100% (QA)

a To calculate the inplane strains we calculate the displ... View the full answer