Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 43.1 degrees and 47.9 degrees, respectively , with the tensile axis. if the critical resolved shear stress is 20.7 mpa (3000 psi), will an applied stress of 45 mpa (6500 psi) cause the single crystal to yield? if not, what stress will be necessary?

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)