The post is made of Douglas fir and has a diameter of 100 mm. if it is subjected to the load of20 kN and the soil provides a frictional resistance that is distributed along its length and varies linearly from IV= 4 kN/m at y = 0 to IV =12 kN/m at y = 2 m. determine the force F at its bottom needed for equilibrium. Also, what is the displacement or the top of the post A with respect to its bottom B? Neglect the weight of the post.

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)