Answer:
62 MPa
Explanation:
We are given that
Critical resolved shear stress for a metal,[tex]\tau_{crit}=31MPa[/tex]
We have to find the maximum possible yield strength for a single crystal of this metal that is pulled in tension.
Yield strength,[tex]\sigma_{yield}=\frac{\tau_{crit}}{cos\phi cos\gamma}[/tex]
Minimum stress is necessary to introduce yielding when [tex]\phi=\gamma=45^{\circ}[/tex]
[tex]\sigma_{yield}=\frac{\tau_{crit}}{cos45cos 45}=2\tau_{crit}[/tex]
Substitute the values
[tex]\sigma_{yield}=2\times 31=62 MPa[/tex]
Hence, the maximum possible yield strength for a single crystal of this metal that is pulled in tension=62 MPa