(Solved): 4. A sample of material subjected to a compressive stress 0 is confined so that it cannot deform ...

4. A sample of material subjected to a compressive stress 0? is confined so that it cannot deform in the y-direction, as shown. Assume that there is no friction against the die, so that deformation can freely occur in the x-direction. Assume further that the material is isotropic and exhibits linear-elastic behavior. Assume that the compressive stress in the z-direction has a magnitude of 75MPa and that the block is made of a copper alloy. (For the copper alloy, E = 130 GPa = 130,000 MPa, and v = 0.343.) Determine the following in terms of oy, Ez, Ex, and E'(= 0;/?) (20 POINT) oz material rigid die