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 10.19P
To determine
Calculate the increase in vertical stress below the ground surface along the centerline of the tank using Boussinesq’s theory.
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Based on the figure given below, determine the stress increase at Points A, B and C at a depth of 2 m below the ground surface.
←3 m
5 m
A
9₁ = 90 kPa
B
C
6.
7.
Calculate the induced vertical stress at point A at a depth of 5 feet. The
surface stress in the shaded areas is 3000 lb/ft2. Hint: The contributions of
the shaded areas must be calculated separately and then added together.
The contribution from the lower area will require the use of imaginary
rectangles. (Answer: 1892 lb/ft2, yours may differ slightly)
Four 40' diameter fuel tanks are constructed in a square pattern. The tanks apply a
maximum surface pressure of 5000 lb/ft2. The spacing of the tanks is 50 feet center-
center. What is the induced vertical stress beneath the center of the area at depths of 20
feet and 50 feet? (1400 and 1700 lb/ft2, some variation expected from chart reading)
10. A cylindrical tank has an inner radius of r= 1.5m and length of L = 3m, if it subjected
to an internal pressure of p = 300kPa, determine its minimum thickness if the
longitudinal stress is not to exceed 12MPa
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_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_forward9. A cylindrical tank has an inner radius of r = 1.5m and length of L = 3m, if it subjected to an internal pressure of p = 300kPa, determine its minimum thickness if the tangential stress is not to exceed 12MPaarrow_forward
- Use 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_forwardRefer to Figure attached, Due to the application of line loads q1 and q2, the vertical stress increase, A oz , at A is 30 kN/m2 . Determine the magnitude of q2 91 = 250 kN/m 92 - 3m - 2 m - 2 marrow_forwardrefer to the figure due to application of line load q1 and q2 . the vertical stress increase at point a is 42 kn/m2 determine the magnitude of qarrow_forward
- Determine the average normal stress developed on the cross section as shown inFigure 1.arrow_forward4. A beam of rectangular cross section 40 mm by 100 mm is carrying a bending moment of M = 21 kN.m about its strong axis. Determine the residual stresses following removal of the bending moment (show the residual stress distribution). Consider oy = 240 MPa, and E = 200 GPa. Solution: 100 mm 40 mmarrow_forwardDetermine the normal stress in a ball, which has an outside diameter of 180 mm and a wall thickness of 3.1 mm, when the ball is inflated to a gage pressure of 61 kPa. MPa Answer: 0, =arrow_forward
- Refer to figure below. The magnitude of the load is 120 kPa. Calculate the vertical stress at points, A , B, and C. 3 т 2 m |120 kPa B. 2 marrow_forwardELABORATE Try solving the following problem: Practice Problem: Refer to Figure 3.12. Determine the vertical stress increase Aoz, at point A with the following values: q = 75 lb/ft; x = 6 ft; z = 5 ft. STAR Line load = q Figure 3.12 Aσ₂arrow_forward6 decimal places for the solutionarrow_forward
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