Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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Refer to Figure P6.3. Determine the vertical stress increase Δσ at point A with the values q1 = 90 kN/m, q2 = 325 kN/m, x1 = 4 m, x2 = 2.5 m, and z = 3 m.
Point loads of magnitude 9, 18, and 27 kN act at A, B, and C, respectively(Figure 6.27). Determine the increase in vertical stress at a depth of 3 mbelow point D. Using Westergaard solution. Use μs = 0.4.
The soil stress state is shown in the figure, σx = 10 kN/m2, σy = 50 kN/m2, τxy = -10 kN/m2:(1) Please use Mohr circle to draw the soil stress state(2) Calculate the maximum principal stress σ1 and the minimum principal stress σ3(3) Please find the (pole) position(4) What is the angle of intersection between the maximum principal stress surface and the horizontal plane?
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- In Problem 16.3, if there was a surcharge of 20 kN/m2 at the ground level, what would be the total horizontal normal stresses at A and B? Use the results from Problem 16.3. 16.3 The soil profile at a site is shown Figure P16.3. Find the total horizontal normal stresses at A and B, assuming at-rest conditions.arrow_forwardRefer to Figure 15.27a. For the braced cut, H = 6 m, Hs = 2 m, s = 16.2 kN/m3, angle of friction of sand, s=34, Hc = 4 m, c = 17.5 kN/m3, and the unconfined compression strength of the clay layer, qu = 68 kN/m2. a. Estimate the average cohesion, cav, and the average unit weight, av, for development of the earth pressure envelope. b. Plot the earth pressure envelope. FIG. 15.27 Layered soils in braced cutsarrow_forwardA retaining wall 6 m high supports cohesionless soil having a dry density of 1600 kg/m³, angle of resistance 32 and void ratio of 0.68. The surface of the soil is horizontal and level with the top of the wall. Neglecting wall friction and using Rankine’s formula for active pressure of a cohesionless soil. 1. Determine the nearest value of the total earth thrust on the wall in KN per lineal meter if the soil is dry. a. 73.1 b. 86.7 c. 62.4 d. 98.1 2. Find the nearest value of the thrust on the wall in KN per lineal meter if owing to inadequate drainage, it is waterlogged to a level of 3.5 m below the surface. a. 112 b. 171 c. 147 d. 153 3. Find at what height above the base of the wall the thrust acts during the waterlogged condition. a. 2.21 m b. 2.00 m c. 1.74 m d. 1.42 marrow_forward
- the coordinates of two points on the virgin compression curve as follows: e (kn/m2) 1.22 108 .97 225 Determine the void ratio that corresponds to a pressure of 300 kn/m2arrow_forward44.) A 5 m-thick clay (Gs = 2.65, water content = 0.28) is overlain by a 4.50m-thick layer of sand (Gs = 2.60, e = 0.70, S = 0.85). The ground water table is located 4.50 m from the ground surface. Compute for the following: 1. At what depth would the vertical effective stress be equal to 120 kPa? 2. What is the vertical effective stress at a depth 9 m below the ground surface? 3. The depth of excavation required to reduce the effective stress at the bottom of the clay layer by 100 kPa. Question 1: A. 1.94 Question 1: B. 3.99 Question 1: C. 6.44 Question 1: D. 8.49 Question 2: A. 168.9 Question 2: B. 44.1 Question 2: C. 120.1 Question 2: D. 124.8 Question 3: A. 1.83 Question 3: B. 7.67 Question 3: C. 3.17 Question 3: D. 6.33arrow_forwardA rectangular foundation 4 m x 6 m (Figure 1) transmits a stress of 100 kPa on the surface of a soil deposit. Plot the distribution of increases of vertical stresses with depth under points A, B, and C up to a depth of 20 m. At what depth is the increase in vertical stress below A less than 10% of the surface stress?arrow_forward
- A retaining wall 8 m high supports a cohesionless soil having a dry density of 1600 kg/m^3, angle of shearing resistance is 33 degrees and void ratio of 0.68. The surface of the soil is horizontal and level with top of the wall. Neglect wall friction and use Rankine’s formula for active pressure of a cohesionless soil. Determine the value of earth thrust on the wall per meter length if the soil is dry. a. 121 kN b. 186 kN c. 148 kN d. 137 kN determine the value of earth thrust on the wall if water level is 3.5 m below the surface. a. 230 kN b. 250 kN c. 180 kN d. 210 kN find the height above the base of the wall where the thrust acts during the water logged condition. a. 3.50 m b. 2.67 m c. 1.75 m d. 2.25 marrow_forwardA braced cut is carried out to 10 m depth at a site where the soil consists of 4 m of sand ( = 17.0 kN/m3, = 33) at the top underlain by 6 m of clay ( = 18.5 kN/m3, c = 35 kN/m2). a. What would be the average value of cohesion and the unit weight for the equivalent homogeneous soil profile? b. Show the lateral earth pressure envelope you would use in determining the strut loads.arrow_forwardThe soil profile at a site is shown Figure P16.3. Find the total horizontal normal stresses at A and B, assuming at-rest conditions.arrow_forward
- A 6m high vertical retaining wall is used to retain a soil of unit weight 18 kN/m3 and slope 20°. The soil is a cohesionless soil with internal friction angle of 40°. Compute the coefficient of active earth pressure from the given data.arrow_forwardAn embankment consists of clay fill for which c=25 kPa and angle of internal friction is 260 (from consolidated undrained test with pore pressure measurement) The weight of fill per unit volume is 18.64 kN/m3. Compute the effective stress in kPa at a depth of 20 m. If the pore pressure at this point is shown by a piezometer to be 180 kPa. a. 62.5 b. 372.8 c. 192.8 d. 21.6arrow_forwardThe elevation and plan of a bracing system for an open cut in sand are shown in Figure 14.21. Using Pecks empirical pressure diagrams, determine the design strut loads. Given: sand = 18 kN/m3, ' = 38, x = 3 m, z = 1.25 m, and s = 3 m.arrow_forward
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