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 10.20P
To determine
Calculate the increase in vertical stress below the ground surface along the centerline of the tank using Westergaard’s solution.
Compare Westergaard’s solution by Boussinesq’s theory.
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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.
Problem 6. [Concepts: Spatially varying average normal stress, and integration] The bar has a
cross-sectional area of 400(106) m². If it is subjected to a triangular axial distributed loading
along its length which is 0 at x = 0 and 9 kN/m at x = 1.5 m, and to two concentrated loads as
shown in the figure.
a) Determine the average normal stress in the bar as a function of x for 0
4. A line load of q = 160kN/m with a = 45° is placed on a ground surface as shown
in Figure below. Calculate the increase of pore water pressure at M immediately after application
of the load for the cases given below.
(a) z = 6m, x = 0m, v=0.5, 4= 0.5.
(b) z = 6m, x = 3m, v= 0.4, 4= 0.55.
31
3 m
3.
a
G.W.T.
M●
Clay
● (x, z)
x (m)
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_forward2. The velocity distribution of a viscous liquid flowing over a fixed plate is given as V= 0.68 y - y? for 0sy<0.34 m. "y" is the distance from the plate in meters and the unit of the velocity is m/s. Calculate the shear stress at the plate surface (y=0) and 0.34 m away from the plate (0.9 Ns/m2). Draw the velocity and shear stress profiles. Fixed plate flowarrow_forward6. 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)arrow_forward
- ELABORATE 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_forward4.1 A line load of q = 60kN/m with a = 0 is placed on a ground surface as shown in Figure P4.1. Calculate the increase of pore water pressure at M immediately after application of the load for the cases given below. (a) z = 10m, x = 0m, v=0.5, A=0.45. (b) == 10m, x= 2m, v= 0.45, A=0.6. 2 m 4. G.W.T. Clay XI 1arrow_forward2 400 N/mm DY 45° В 2 400 N/mm The square element in the figure is subjected to a biaxial stress of 400 N/mm2 as shown. What is the intensity of normal stress p, on the plane BD? 400 N/mm ww/N 00 2.arrow_forward
- A line load of q=60kn/m with alpha =300 is placed on a ground surface as shown in figure p4.1.Calculate the increase of pore water pressure at M immediately after application of the load for the cases given below. (a) z=10m ,X=0m ,v=0.5 ,A=0.45 (b) z=10m, X=2m,v=0.45, A=0.6arrow_forwardMAT 1:1,5 30 meter q=1.2 t/m² Ymbun= 1.67 t/m³ Yat=1.72 t/m³ 0.52 0.75 Z 4 meter Z= 6 meter 2 m 4 m 4 m 5m With the description of the dimensions as in the image above, calculate: b. Distribution of stress experienced by points A / B / C / D due to the loadarrow_forwardreferring to the figure below, calculate the distribution of vertical stress along vertical plane passing through one of the two forces. Specify the value of stress in kPa at depth of 4marrow_forward
- A soil profile consists of a clay layer underlain by a sand layers as shown. A tube is inserted into the bottom sand layer and the water level rises to 1.2m above the ground surface. Determine the effective stress at pt. A Determine the effective stress at pt. B. Determine the effective stress at pt. C Please answer this asap. For upvote. Thank you very mucharrow_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_forwardSubject: soil mechanics I want part b. Please help me with part b. Or can you answer both a and b ? A 10 ft diameter flexible loaded area is subjected to a uniform pressure of 1200 lbs/ft2. a. Plot the variation of the vertical stress increase beneath the center with depth z = 0 to 20 ft. b. In the same plot, show the variation beneath the edge of the loaded area.arrow_forward
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