For part b, if possible include a plot by hand or excel and include one example hand calculation. Thanks!

A concrete dam (essentially impermeable) with an upstream sheet pile cutoff is shown below. The base of the dam is 5 feet below the ground surface, and the length of the sheet pile is 15 ft. The dam is underlain by 40 feet of clayey silt with a hydraulic conductivity of 2x10 cm/sec. Assume Ysat (the saturated unit weight) of the clayey silt is 115 pcf. Below the silty clay is an impervious bedrock stratum. 70 60 20 ft 50 60 ft 40 ilk 30 20 AC 10 0 0 10 20 40 50 60 70 80 90 100 110 120 130 140 150 Feet a) (7 Points) Compute the amount of water flowing under the dam per foot of length in terms of a discharge rate (ft? /sec). Please pay attention to the units. Flow rate, q (ft /sec) b) (8 Points) Plot the distribution of pore water pressure u along the bottom of the dam. Take datum at the bottom of the silty clay layer. The calculation should be made for at least 5 separate points spaced fairly evenly along the base of the dam: (i) show one sample hand calculation, (ii) use Excel for the plotting, and (iii) submit the Excel spreadsheet that you used for plotting. c) (7 Points) Compute the vertical total stress Ov, pore pressure u, and vertical effective stress o'r at point A (that is located 20 ft below the ground surface). ov (psf) u (psf) ov (psf) d) (8 Points) Determine the exit gradient and find the factor of safety against piping. Exit gradient Factor of safety e) (5 Points) If the sheetpile were moved to the downstream end of the dam, what effect would it have on the pore water pressures acting along the bottom of the dam? Explain below