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 10.3P
(a)
To determine
Calculate the maximum and minimum principal stresses using the principles of Mohr’s circles.
(b)
To determine
Calculate the normal and shear stresses on plane AB using the principles of Mohr’s circles.
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Using the principles of Mohr’s circles for the soil element shown in Figure 10.36, determine the following:a. Maximum and minimum principal stressesb. Normal and shear stresses on plane AB
A Soil Element is shown in figure . Determine the Following:
a. Maximum and Minimum Principal Stress
b. Normal and Shear stresses on plane AB
A soil element is shown in Figure 10.38. Using the pole meathod, determine:
a. Maximum and minimum principle stresses.
b. Normal and shear stresses on plane AB
Solve this problem three ways: first via equations, second via Mohr’s circle and the two-theta method, and third via Mohr’s circle and the origin of planes. All methods should give the same answer.
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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- Refer to Figure 10.46. A flexible circular area of radius 6 m is uniformly loaded. Given: q = 565 kN/m2. Using Newmarks chart, determine the increase in vertical stress, z, at point A. Figure 10.46arrow_forwardUsing the Mohr's Circle for the soil element below determine the following: (a) Maximum Stress = __________ and Minimum Principal Stresses = ________ (b) Normal Stress = ________ and Shear Stress = ______ on plane AB.arrow_forwardFor the stress soil element shown, determine the following using the Pole Method. A. The major principal stress B.The minor principal stress C. Normal stress on plane AE D. Shear stress on plane AEarrow_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_forwardUsing the principles of Mohr circle, for the soil elements shown, determine the following. a.)Maximum principal stress b.) Minimum principal stress c.) Normal Stress on plane AB d.) Tangential stress on plane ABarrow_forwardRefer to Figure 10.43. A strip load of q = 1450 lb/ft2 is applied over a width with B = 48 ft. Determine the increase in vertical stress at point A located z = 21 ft below the surface. Given x = 28.8 ft. Figure 10.43arrow_forward
- Refer 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_forwardA soil element is shown in Figure 2.21. Determine the following using Mohr’s Circle: a. Maximum and minimum principal stressesb. Normal and shear stresses on plane ABarrow_forwardQ#5: From the Tri –axial test, determine the effective normal stress on the plane of Maximum shear stress. Explain why the shear failure occurred along the plane with angle 54.73 and not along the plane of maximum shear stress. Take σ’1 = 552, σ’3 = 276, ø’ = 19.45?arrow_forward
- A rectangular concrete slab, 3m x 4.5m shown in Figure 05.12, rests on the surface of a soil mass. The load on the slab is 1620 kN.1.) Determine the soil stress below the slab2.) Determine the vertical stress increase at point A3.) Determine the vertical stress increase at point B.arrow_forwardAn 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_forwardQ2: For the soil element shown in the figure. Draw Mohr circle, locate OP (origin point), then find the stresses inclined at: 1- 75° from the horizontal plane. 2- With the horizontal plane.arrow_forward
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