What is the coefficient of volume change (using change in void ratio method) for pressure range 100 kN/m² to 200 kN/m²? (Consider o'o = 100 kN/m², eo = 1.121, o' = 200 kN/m², eo = 0.964, Ao'= 100 kN/m² and Ae = -0.157)
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- Problem 4: An inclined permeameter tube is filled with layers of soil of different permeability as shown below. Find the total head, elevation head and pore water pressure at points (A-B-C-D) with respect to the given datum, Given: 1.5k1=2k2=3k3=k4 k4=2x10-3 cm/sec 35 сm 9 cm K4 K3 K1 K2 15 cm 11 cm 7 cm 4 cm Datum شاشة 4cmA 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=0.64.1 A line load of q = 60kN/m with a = 0 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) == 10m, x= 2m, v= 0.45, A=0.6. 2 m 4. G.W.T. Clay XI 1
- 4. A line load of q = 160kN/m with a = 45° is placed on a ground surface as shown in Figure below. Calculate the increase of pore water pressure at M immediately after application of the load for the cases given below. (a) z = 6m, x = 0m, v=0.5, 4= 0.5. (b) z = 6m, x = 3m, v= 0.4, 4= 0.55. 31 3 m 3. a G.W.T. M● Clay ● (x, z) x (m)What is the coefficient of volume change (using change in void ratio method) for pressure range 100 kN/m² to 200 kN/m² ? (Consider oo kN/m², eo = 1,121, o' = 200 kN/m², 100 = ef = 0.964, Ao' = 100 kN/m² and Ae = -0.157)Question: A Blasius Exact Solution Equation For A Laminar Flat-Plate Boundary Layer Problem Which... A Blasius exact solution equation for a laminar flat-plate boundary layer problem which derived from Navier-Stoke equations, could be written as, ff"-2f"'=0 where f = f(n), =d'fm), dn? d'f(n). df (N) =- ,and f'=- dn' dn U is mainstream fluid velocity and u is fluid velocity in boundary layer. With suitable boundary conditions, the above equation had been solved by 4th-order Runge-Kutta numerical integration and the result is tabulated in Table Qla. TABLE Qla f'=w/U f" 7 = y, VX 0.000 0.000 0.332 0.323 0.267 1 0.166 0.330 0.630 0.846 0.956 0.992 0.998 0.650 1.397 2.310 3.283 0.161 0.064 3 4 0.016 0.002 6 7 4.280 0.001 5.279 6.280 0.999 1.000 0.000 Show that : CoRe , = 1.27 %3D
- A glass container with pervious bottom containing fine sand in loose state (void ratio = 0.8) is subjected to hydrostatic pressure from underneath until quick condition occurs in the sand. If the specific gravity of sand particles = 2.65, area of cross-section of sand sample= 10 cm2 and height of sample = 10 cm, compute the seepage force in N acting from below. a. 9.17. b. 0.9 c. 0.45 d 7.29(Situation 3) Determine the equivalent hydraulic conductivity of the soil strata given in the figure considering direction of flow of water parallel and perpendicular to the layers. k = 2.3 x 102 cm/s k, = 8 x 102 cm/s k, = 5.7 x 10 cm/s, k, = 25.5 x 104 cm/s 10 m 2 m! = 9.2 x 10 cm/s k, = 27 x 107 cm/s 10 m %3!1. A soil deposit is shown in the figure below. The ground water table, initially at the ground surface, was lowered to a depth 25ft below the ground. After such lowering, the degree of saturation of the sand above water table was lowered to 20%. Water table Ground surface Ysat = 135 pcf Ya = 116 pcf Sand 50 ft 25 ft Clay Ysat = 120 pcf a) What is the vertical effective pressure at the midheight of the clay layer before lowering of the water table, in psf. b) What is the vertical effective pressure at the midheight of the clay layer after lowering of the water table, in psf. c) What is the vertical effective pressure when there is no water in the sand layer, in psf.
- 3. The upward flow of water through a layer of sand in the tank shown in figure has the following properties: e =0.50, G-2.67. Determine the following: a) Effective stress at point A b) Effective stress at point B c) Upward seepage force per unit volume of soil 0.8m 3.5m Supply of Water 0.5m A B 1.9mProblem Ex. Consider the upward flow of water through a layer of sand in a tank as shown in Figure. 1.5 m 0.7 m I m 2 m Valve (open) Inflow O Sand For the sand, the following are given: void ratio (e) = 0.52 and specific gravity of solids (G.) = 2.67. Calculate the total stress, pore water pressure, and effective stress at points A and B. What is the upward seepage force per unit volume of soil? Total stress, porewater pressure, effective stress. Point A t B Total stress (kN/m?) Porewater pressure Effective stress Upward seepage force.1. (30 pts) The soil profile shown below consists of 10 meters of sandy silt overlying gravel. The pore water pressure at the top surface of the silty sand is zero and can be assumed to remain zero. a) Calculate the level to which water would rise in a piezometer tube inserted into the top of the gravel if the silty sand is just stable? Use submerged unit weights and seepage forces to arrive at your answer (do not calculate total stresses and pore water pressures). Express your answer as an elevation, e.g. "Elev. 130". (Note: Elevations are in meters) (10 pts) b) Using the piezometric elevation calculated in part (a), calculate the pore water pressure at the bottom of the silty sand if the silty sand is just stable (10 pts). c) Calculate the total stress at the base of the silty sand and show that it is equal to the pore water pressure calculated in part (b) (10 pts) Elev. 120 m. Elev. 110 m. Sandy Silt (saturated) Void ratio, e = 0.68 G = 2.65 Gravel