Two aluminum plates are glued together, and an experiment is performed to determine whether or not...

  

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Two aluminum plates are glued together, and an experiment is performed to determine whether or not the interface would fail. In the experiment, the bonded specimen is subject to the design loads and a strain gauge is placed over the interface as shown in Figure 2. Readings from the strain gauge reveal that the strain at the interface is: -10-5 (r.y) @(r.v) = [4.23 2.37] 2.37 3.60 = 0.3. The material properties for the plate are E = 70 GPa and v= MAE157: Lightweight structures - Winter 2023, Homework 1 Figure 2: Schematics of lab test for problem 2. 2 1. Given the strain tensor, find the stress tensor (g) in the coordinate system (x,y). 2. Find the traction vector at the location of the strain gauge, using a cutting surface that coincides with the interface. 3. Find the normal and tangential components of the traction vector on that surface. 4. If we are using epoxy resin glue that fails when its shear stress is 5 MPa, what is the safety factor? Two aluminum plates are glued together, and an experiment is performed to determine whether or not the interface would fail. In the experiment, the bonded specimen is subject to the design loads and a strain gauge is placed over the interface as shown in Figure 2. Readings from the strain gauge reveal that the strain at the interface is: -10-5 (r.y) @(r.v) = [4.23 2.37] 2.37 3.60 = 0.3. The material properties for the plate are E = 70 GPa and v= MAE157: Lightweight structures - Winter 2023, Homework 1 Figure 2: Schematics of lab test for problem 2. 2 1. Given the strain tensor, find the stress tensor (g) in the coordinate system (x,y). 2. Find the traction vector at the location of the strain gauge, using a cutting surface that coincides with the interface. 3. Find the normal and tangential components of the traction vector on that surface. 4. If we are using epoxy resin glue that fails when its shear stress is 5 MPa, what is the safety factor?