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MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 1 term (6 months)
9th Edition
ISBN: 9781305971226
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
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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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A soil element is shown in Figure 10.33. Determine the following:a. Maximum and minimum principal stressesb. Normal and shear stresses on the plane AB
A soil element is shown in the figure below.
Determine the following: (in kPa)
a. Maximum Principal Stress
b. Minimum Principal Stress
c. Normal Stress on plane AB
d. Shear Stress on plane AB
A 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.
Chapter 10 Solutions
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 1 term (6 months)
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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- Quize (1): A sample of soil is subjected to the stresses shown in Figure (1). find graphically: i) a,,o, and t i) The stresses on a plane oriented at 30"counterclockwise from the major principal stress plane. 500 kN/m? 100 300 300 KN/m 100 kN/m 500arrow_forwardPROBLEM 2 (15 points): The magnitude of stresses of the soil element represented by the figure below are oz = 250 kN and t= 80 kN m² Oy = 180- , and 0 = 25°, determine the following: m2 a. Magnitudes of the principal stresses. b. Normal stress on plane AB. c. Shear stress on plane AB. B Aarrow_forwardUse Eq. (6.14) to determine the stress increase Δσ at z = 10 ft below the center of the area described in Problem 6.5.arrow_forward
- A soil element is shown in the figure below.  Determine the following: (in kPa) a. Maximum and Minimum Principal Stress c. Normal Stress and Shear Stress on plane ABarrow_forwardA soil element is shown in figure. Determine: a. Maximum and Minimum Principal stress. b.Normal and shear stress on plane ABarrow_forward8. The following figure consists of a line load and point load acting on the surface of a soil mass X1=4.5 m X2=3.5 m r2 Y2=2.5 m Line load 50 kN/m Z= 6m Point load 100 kN A Calculate the increase in the vertical stress at the soil element A.arrow_forward
- 3 1. (a) An element of soil is subjected to the two-dimensional stresses shown in Figure Q1. 0, = 150 =-30 = 30 60° o, = 75 (All in kPa) Figure Q1 (1) Determine the normal and shear stresses on the P and Q planes which are orthogonal (ii) Determine the magnitudes and directions of the major and minor principal stresse (b) An undrained direct shear test with a hanger mass of 32 kg was performed on a sample of saturated clay. The plan dimensions of the shear box were 60 x 60 mm. The undrained shear strength of the clay is known to be Cu = 60 kPa. The critical state friction angle of the clay is known to be d'ern = 22°. What pore water pressure (u) in kPa, would the sample experience at the ultimate state? (c) Given that the pore pressure calculated from part (b) was negative, explain what this implies about the volume change that would have occurred to the sample (dilative or contractive) if the test was done under drained conditions.arrow_forwardA soil element is shown in Figure 2.32. Determine the following using Pole Method.a. Maximum and minimum principal stressesb. Normal and shear stresses on plane ABarrow_forwardA soil element is shown in the figure. Determine the following: 300 psf 1. a. Maximum and minimum principal stresses b. Normal and shear stresses on plane AB 250 psf 80 psf A + 35⁰ + B 80 psfarrow_forward
- kN The magnitude of stresses of the soil element represented by the figure below are o, = 250; m Oy = 180 , and t= 80, m2 kN kN ,and 0 = 25°, determine the following: a. Magnitudes of the principal stresses. b. Normal stress on plane AB. c. Shear stress on plane AB. Barrow_forwardThe soil profile shown consists of dry sand (4-m thick) which overlies a layer of clay (3-m thick). Ground water table is located at the interface of the sand and clay. a. If the water table rises to the top of the ground surface, what is the change in the effective stress (in kPa) at the bottom of the clay layer? Round off to two decimal places. (ANSWER: 26.336) b. Compute the effective stress at the bottom of the clay layer in kPa. Round off to three decimal places (ANSWER: 97.686) c. How many meters must the ground water table rise to decrease the effective stress by 14 kPa, at the bottom of the clay layer? Round off to two decimal places (ANSWER: 2.13)arrow_forward5,The following result were obtained from a series of undrained triaxial test carried out on undisturbed samples of a compacted soil: Each sample is originally 76mm Long and 38mm in diameter, experienced a vertical deformation 2 mm Draw the strength envelop & Determine coulomb equation for the shear strength of the soil in terms of total stresses, Cell pressure (kPa) Additional axial load at Failure (N) 100 350 250 400 400 500arrow_forward
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