SAMPLE PROBLEM 1. A square plate having a length of 3 m and width of 2 m is immersed in water. Determine the hydrostatic force in kN acting on the plate and the location of the center of pressure9 measured from the water surface if: a. The top of the plate coincides with the water surface. b. The top of the plate is located 5 m below the surface. c. If the plate is inclined at an angle of 30° with respect to the horizontal.

6. 7. Calculate the induced vertical stress at point A at a depth of 5 feet. The surface stress in the shaded areas is 3000 lb/ft2. Hint: The contributions of the shaded areas must be calculated separately and then added together. The contribution from the lower area will require the use of imaginary rectangles. (Answer: 1892 lb/ft2, yours may differ slightly) Four 40' diameter fuel tanks are constructed in a square pattern. The tanks apply a maximum surface pressure of 5000 lb/ft2. The spacing of the tanks is 50 feet center- center. What is the induced vertical stress beneath the center of the area at depths of 20 feet and 50 feet? (1400 and 1700 lb/ft2, some variation expected from chart reading)

Q- Velocity distribution function for flow over a channel is represented by u = 0.6z - z² where u is the velocity in m/sec at a distance 'z' m from above the channel. If dynamic viscosity of fluid is 0.8 Ns/m², then find the shear stress at 0.25 m from boundary.

A line load of q=60kn/m with alpha =300 is placed on a ground surface as shown in figure p4.1.Calculate the increase of pore water pressure at M immediately after application of the load for the cases given below.  (a) z=10m ,X=0m ,v=0.5 ,A=0.45 (b) z=10m, X=2m,v=0.45, A=0.6