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3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family of planes although slip can also occur on alternate planes. a. (3 pts.) On the left cube below, draw and label two planes from the (110 family of planes. b. (3 pts.) On the right cube below, two alternate slip planes are shown. What are the Miller indices of these planes? (Note: The blue plane intersects the y-axis at 1/2 and the z-axis at 1/3. The red plane intersects the x-axis at -1 and the z-axis at 1/2.) (4 pts.) If a specimen of single crystal iron is oriented such that a 200.0 MPa stress is applied in c. the [132], what is the resolved shear stress on the (110) plane in the 111] direction? (4 pts.) Would slip occur for the situation given in part c(show work to prove your answer)? (4 pts.) Would slip be more likely in the [111] or [111] direction on the (110) plane for the d. e. applied stress described in part c (show work to prove your answer)? f. (1 pts.) At what angle would the slip plane need to be at in order to have the maximum sheer stress? (1 pts.) What defect in metals is responsible for deformation at loads much lower than the theoretical maximum strength of materials? g.

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