Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 3, Problem 3.21P
To determine
Show that the value of K for the rectangular vane according to first principles is
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In a pressuremeter test in a soft saturated clay, the measuringcell volume Vo = 535 cm3, po =42.4 kN/m2,pf =326.5 kN/m2, vo =46 cm3, and vf = 180 cm3.Assuming Poisson’s ratio smsd to be 0.5 and using Figure3.31(attached), calculate the pressuremeter modulus (Ep).
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?
Calculate and plot the stress distribution with depth at a point 6.0 m from the corner (along the longest side) of a rectangularly loaded area 18 × 24 m with a uniform pressure of 175 kPa. Perform the calculation using the Boussinesq theoryand the 2:1 method. Comment on the results.When plotting stress distribution with depth, make sure the vertical axis (i.e. depth) increases downwards. Use z=0, 1, 5, 10, 15, 35, 50, and 100 m. Equations that may be helpful are attached.
Chapter 3 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Refer to Figure P3.3. Use Eqs. (3.10) and (3.11)...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31P
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- An earth embankment is shown in Figure 10.44. Determine the stress increase at point A due to the embankment load. Given: β = 25°, γ = 119 lb/ft 3, x = 55 ft, y = 28 ft, and z = 20 ft.arrow_forwardQ#3. An earth embankment diagram is shown in Figure.1. Determine the vertical stress increase at A due to embankment load.arrow_forwardThe following data are from a direct shear test on an undisturbed soil sample. Represent the data by a Mohr Circle and compute the minor principal stress. Normal pressure = 16.2 kN/m2; Tangential pressure = 14.4 kN/m2, Angle of internal friction = 24°; c = 7.2 kN/m2 a. 57 b. 67 c. 6.77 d. 26.25 e. 38.77arrow_forward
- The following data are from a direct shear test on an undisturbed soil sample. Represent the data by a Mohr Circle and compute the minor principal stress. Normal pressure = 16.2 kN/m2; Tangential pressure = 14.4 kN/m2, Angle of internal friction = 24°; c = 7.2 kN/m2. Show diagramarrow_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 following data are from a direct shear test on an undisturbed soil sample. Represent the data by a Mohr Circle and compute the major principal stress. Normal pressure = 16.2 kN/m2; Tangential pressure = 14.4 kN/m2, Angle of internal friction = 24°; c= 7.2 kN/m2. a. 6.77 b. 38.77 c. 26.25 d 57arrow_forward
- 3. The following convergence measurements (U) have been made in a 4.6-m-diameter circular vertical shaft in good quality granitic rock mass (Em = 40 GPa, ν = 0.2): θ (deg) U (mm) 0 2.25 45 2.39 90 1.50 135 1.00 a) Derive the equations that relate convergence to in situ stress. b) The angle θ is measured (clockwise) with respect to the x-axis, which is oriented 30 degrees clockwise from True North. What is the orientation of the maximum principal stress with respect to True North?arrow_forwardThe following data are from a direct shear test on an undisturbed soil sample. Represent the data by a Mohr Circle and compute the direction of principal planes. Normal pressure = 16.2 kN/m2; Tangential pressure = 14.4 kN/m2, Angle of internal friction = 24°; c = 7.2 kN/m2. a. 6.77 b. 26.25 c. 57 d. 38.77arrow_forwardFor the fully saturated clay layer depicted below, calculate the undrained shear strength in kPa of the clay layer if the factor of safety against failure is equal to 1.2 for short-term stability. Hint: use a simplified chart-based approach.arrow_forward
- Determine the stress increase due to the embankment load at point A as shown in Figure 2. The unit weight of the embankment fill is 115pcfarrow_forward11. Consider the downward flow of water through a layer of sand in the tank shown. (see picture below) Void ratio of the soil = 0.52 Specific Gravity = 2.70 Compute the value of h1. (Answer: 0.436) Compute the effective stress at A. (Answer: 17.44 kPa) Compute the effective stress at B. (Answer: 31.98 kPa) Compute the seepage force per unit volume. (Answer: 3.57 kN/m3)arrow_forwardIn a field vane shear test, a 150-mm long and 75-mm wide vane is pressed into a soft clay at the bottom of a borehole. If the clay fails at a torque of 50 Nm, determine the shear strength of the clay?arrow_forward
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