Find the maximum force (downwards) that can be applied on the tool in the schematic below without any failures according to a) the maximum shear stress theory, b) the distortion energy theory (von Mises theory). Assume that the tensile yield strength is 90 ksi. Use the distance of the centerline of the wood from the wall in your calculations. You need to have a complete analysis in order to get the full credit

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)