Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 10, Problem 10.2P
(a)
To determine
Calculate the maximum and minimum principal stresses.
(b)
To determine
Calculate the normal and shear stresses on plane AB.
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(b) Figure 2(a) plots the results from a shear box test at 3 normal stresses (55.56, 111.11 and 222.22 kPa) of a soil. Determine the residual shear strength parameters (c and φ) for the soil.
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The following figure is a layer of sand (γ s a t=130 lb/ft3 ) in a tank of water. If point C is located at the middle of the soil layer, what is the effective stress at point C:
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Chapter 10 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 10 - Prob. 10.1PCh. 10 - Prob. 10.2PCh. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Point loads of magnitude 125, 250, and 500 kN act...Ch. 10 - Refer to Figure 10.41. Determine the vertical...Ch. 10 - For the same line loads given in Problem 10.8,...Ch. 10 - Refer to Figure 10.41. Given: q2 = 3800 lb/ft, x1...
Ch. 10 - Refer to Figure 10.42. Due to application of line...Ch. 10 - Refer to Figure 10.43. A strip load of q = 1450...Ch. 10 - Repeat Problem 10.12 for q = 700 kN/m2, B = 8 m,...Ch. 10 - Prob. 10.14PCh. 10 - For the embankment shown in Figure 10.45,...Ch. 10 - Refer to Figure 10.46. A flexible circular area of...Ch. 10 - Refer to Figure 10.47. A flexible rectangular area...Ch. 10 - Refer to the flexible loaded rectangular area...Ch. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Refer to Figure 10.48. If R = 4 m and hw = height...Ch. 10 - Refer to Figure 10.49. For the linearly increasing...Ch. 10 - EB and FG are two planes inside a soil element...Ch. 10 - A soil element beneath a pave ment experiences...
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- For the same line loads given in Problem 10.8, determine the vertical stress increase, z, at a point located 4 m below the line load, q2. Refer to Figure 10.41. Determine the vertical stress increase, z, at point A with the following values: q1 = 110 kN/m, q2 = 440 kN/m, x1 = 6 m, x2 = 3 m, and z = 4 m. Figure 10.41arrow_forwardRefer to Figure 8.24. Determine the vertical stress increase, , at point A with the following values: q1 = 100 kN/m x1 = 3 m z = 2 m q2 = 200 kN/m x2 = 2 m FIG. 8.24 Stress at a point due to two line loadsarrow_forwardUse Eq. (6.14) to determine the stress increase () at z = 10 ft below the center of the area described in Problem 6.5. 6.5 Refer to Figure 6.6, which shows a flexible rectangular area. Given: B1 = 4 ft, B2 = 6 ft, L1, = 8 ft, and L2 = 10 ft. If the area is subjected to a uniform load of 3000 lb/ft2, determine the stress increase at a depth of 10 ft located immediately below point O. Figure 6.6 Stress below any point of a loaded flexible rectangular areaarrow_forward
- Refer to Figure 8.13. The magnitude of the line load q is 45 kN/m. Calculate and plot the variation of the vertical stress increase, between the limits of x = 10 m and x = +10 m, given z = 4 m. FIG. 8.13 Line load over the surface of a semiinfinite soil massarrow_forwardEvaluate the figure shown and solve what is being asked in the problem with the following given: e = 0.42 G = 2.8 H1 = 0.3 m H2 = 3.3 m h1 = 0.9 m z = 1.2 m a. What is the saturated unit weight of sand in kN/m³? b. Calculate the total stress at point C in kPa. c. Calculate the effective stress at point B in kPa.arrow_forwardThe stresses on a failure plane in a drained triaxial test on sand are as Follows: Normal Stress nf = 100 kN/m2 Shear Stress τf = 40 kN/m2 Required: a) Determine the angle of internal friction and angle of failure plane b) Find the major and minor principle stresses (1 , 3 )arrow_forward
- A soil profile consisting of three layers is shown in Table and Figure below i. Calculate the values of σ, u and σʹ at points A, B, C, and D. ii. Calculate the effective stress at c when water table drops by 1 m (consider γb= 15.5 for layer 2). iii. Calculate the effective stress at c when water table rises by 1 m above layer 1 due to flooding. (consider γsat= 16.5 for layer 1). Layer no. Thickness Soil parameters 1 H1 = 3.5 m γd = 15.5 kN/m3 2 H2 = 2.5 m γsat = 18 kN/m3 3 H3 = 3 m γsat = 18.5 kN/m3arrow_forwardA sample of soil (0.1 m X 0.1 m) is subjected to the forces shown in Figure below. Determine (a) σ1, σ3, and α;(b) the maximum shear stress; and (c) the stresses on a plane oriented at 30° counterclockwise from the major principal stress plane.arrow_forward2) A soil profile consisting of three layers is shown in the Figure. A) Calculate the values of σ, u and σ' at points A,B,C and D if Layer 1: H1=5m, e=0.7, Gs=2.69 Layer 2: H2=8m, e=0.55, Gs=2.7 Layer 3: H3=3m, w=38%, e=1.2 B) What is the change in effective stress at point C if: If the water table drops by 2m? If the water table rises to the surface up to point A? Water level rises 3 m above point A due to flooding?arrow_forward
- Refer to the soil profile shown. Given H1 = 9.32 m., and H2 = 5.38 m. If the ground water table rises by 2.77 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.59, e = 0.65. Properties of clay: Gs = 2.7, e = 0.89. Round off to two decimal places.arrow_forwardRefer to the soil profile shown. Given H1 = 9.89 m., and H2 = 5.80 m. If the ground water table rises by 3.78 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.53, e = 0.63. Properties of clay: Gs = 2.75, e = 0.81arrow_forwardRefer to the soil profile shown. Given H1 = 8.93 m., and H2 = 5.32 m. If the ground water table rises by 2.01 meters, determine the change in effective stress (numerical value only, in kPa) at the bottom of the clay layer. Properties of dry sand: Gs = 2.56, e = 0.65. Properties of clay: Gs = 2.72, e = 0.87. Round off to two decimal places. Selected Answer: 11.95 Correct Answer: 11.95 ± 1arrow_forward
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