Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 14, Problem 14.2P
To determine
Find the magnitude and location of the thrust on the wall.
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The following concrete gravity wall of 7 m in height retains a sandy backfill. A sand sample from the backfill was brought to the
laboratory and tested in a direct shear device under a normal stress of 100 kPa and failure occurred at a shear stress level of 63.4 kPa.
Using the Rankine theory, determine the total active earth pressure at the base of the wall when:
a) the backfill is dry,
b) the backfill is partially submerged in water for a water level at 3.5m from the base of the wall,
c) the backfill is fully submerged in water, which means the water table is at the ground surface.
Notes:
- The saturated unit weight of the soil is 19 kN/m³
-The moist unit weight of the soil is 17 kN/m³
- The dry unit weight of the soil is 15 kN/m³
Summarize your results in this table:
b)
Total active earth pressure
at the base of the wall (kPa)
3.9 Figure P3.3 shows the plan of a loaded area on the surface of a clay layer. The uniformly
distributed vertical loads on the area are also shown. Determine the vertical stress increase at A
and B due to the loaded area. A and B are located at a depth of 3m below the ground surface.
Uniformly
distributed
vertical load
4₂ = 200 kN/m²
ר
2 m
3 m
PLAN
Uniformly
3 m distributed load
on a flexible
arca
a.~100 kN/m²
Q3/ Determine the increase in vertical stress at (2.0) m below point (A) due to a surface load shown in
Fig.(1),
Q4/ In
tu
6 m
2 m
2m
6m
Aq=175 kN/m²
Aq= 100 kN/m²
Fig. (1)
Jab
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- please, solve question 16.5 question in figurearrow_forward1. What is the rock’s maximum principal stress? 2. What is the rock’s minimum principal stress? 3. Normal stress at Failure Plane A-B 4. Shear stress at Failure Plane A-Barrow_forwarda) Referring to Figure Q2 (a), the vertical stress increase at point A is 25 kN/m² due to application of line loads q1 and q2. Determine the magnitude of q2. 91 = 150 kN/m %3D 92 55° 1.5m 3m 2.7m FIGURE Q2 (a)arrow_forward
- Refer to Figure P3.2. Vane shear tests were conducted in the clay layer. The vane (tapered) dimensions were 63.5 mm (d) x 127 mm (h), iB = iT = 458 (see Figure 3.23). For the test at A, the torque required to cause failure was 51 N ? m. For the clay, given: liquid limit = 46 and plastic limit = 21. Estimate the undrained cohesion of the clay for use in the design by using Bjerrum’s l relationship [Eq. (3.40a)].arrow_forward9.30 A laminar boundary layer velocity profile is approximated by the two straight-line segments indicated in Fig. P9.30. Use the momentum integral equation to determine the boundary layer thickness, 88(x), and wall shear stress, 7, 7(x). Compare these results with those in Table 9.2. 8/2 2U U 3 FIGURE P9.30arrow_forwardComplete answerarrow_forward
- It was found that the backfill against a retaining wall (6 meters in height as shown in Figure 3) has specify weight y= 16 kN/m³ when its water content w= 5 %, S = 0.12, its internal friction angle was measured as 30° (take G,= 2.7 and xw = 10 kN/m³). a. Predict distribution of lateral stress on this retaining wall along its depth in its “at rest" state, and its resultant force. b. Rain leads the backfill water content increase to 10% in its upper half, and saturated in its lower half, find and plot its lateral stress and pore pressures along its depth in an active state.arrow_forwardKarrow_forwardPlease solve this probelm with clear step by step soltuions and calculations so I can understand. I want to understand the theroy and concept behind this question so if you could please explain I would really appreciate thatarrow_forward
- Following data are given for a direct shear test conducted on dry silty sand:Specimen dimensions: diameter = 71 mm; height = 25 mmNormal stress: 150 kN/m2Shear force at failure: 276 Narrow_forward"please resolve the question but using method 2:1" note / the value load (q) is KN/m2 method 2:1 q/(B+z) why the q * area "note in the picture solve the question but please solve in method 2:1"arrow_forward1. The following figure shows the stress-displacement results of four direct shear tests under different vertical stresses. 70 60 o'v=10 psi 50 - o'v=20 psi 40 Δσ'ν-40 psi o'v=80 psi 30 20 10 0.05 0.1 0.15 0.2 0.25 0.3 shear displ. [in] Based on the results above, develop the Mohr-Coulomb failure envelope. Indicate the cohesion (c') and calculate the drained friction angle (o'). shear stress [psi]arrow_forward
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