(Solved): (a) A single crystal of a metal that has the BCC crystal structure is oriented such that a tensile ...

(a) A single crystal of a metal that has the BCC crystal structure is oriented such that a tensile stress is applied in the \( [010] \) direction. the magnitude of this stress is \( 2.75 \mathrm{MPa} \), compute the resolved shear stress in the [111] direction on each of the \( (110) \) and (101) planes. (b) On the basis of these resolved shear stress values, which slip system is more favorably oriented? Part 1 What is the angle, \( \lambda \), in degrees, between the direction of the applied stress, \( [010] \) and the slip direction, \( [111] ? \) \( \lambda= \) deg. Last saved 4 hours ago. Attempts: 0 of 4 used Saved work will be auto-submitted on the due date. Auto. submission can take up to 10 minutes, Using multiple attempts will impact your score. \( 15 \% \) score reduction after attempt 2 Part 2 Calculate \( \phi \), in degrees, for the angle between the direction of the applied tensile stress, the \( [010] \) direction, and the normal direction to the \( (110) \) slip plane. \( \phi= \) deg. Attempts: 0 of 4 used Using multiple attempts will impact your score. \( 15 \% \) score reduction after attempt 2 Calculate the resolved shear stress, \( \tau_{R} \), for this \( (110)-[111] \) slip system. \[ r_{R}=\quad \mathrm{MPa} \text {. } \] Attempts: 0 of 4 used Using multiple attempts will impact your score. \( 15 \% \) score reduction after attempt 2 \( \operatorname{Part} 4 \) Determine the value of \( \phi \), in degrees, for the (101) - [T11] slip system-that is, the angle between the direction of the applied stress, \( [010] \), and the normal to the (101) plane, Attempts: 0 of 4 used Using multiple attempts will impact your score. \( 15 \% \) score reduction after attempt 2 Part 5 Calculate the resolved shear stress, \( \tau_{K} \), for this \( (101)=\{111] \) slip system. Determine the value of \( \phi \), in degrees, for the \( (101)-[111] \) slip system-that is, the angle between the direction of the applied stress, [010], and the normal to the \( (101) \) plane. \[ \phi= \] deg. Attempts: 0 of 4 used Using multiple attempts will impact your score. \( 15 \% \) score reduction after attempt 2 Part 5 Calculate the resolved shear stress, \( \tau_{R} \), for this \( (101)-[111] \) slip system. \( \tau_{R}= \) Attempts: 0 of 4 used Using multiple attempts will impact your score. \( 15 \% \) score reduction after attempt 2 Part 6 Which is the more favorably oriented slip system? \( (101)-[\overline{1} 11] \) \( (110)-|T 11| \)