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 15, Problem 15.7P
To determine
Find the factors of safety with respect to overturning, sliding, and bearing capacity failure.
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Estimate the ratio of the horizontal to the vertical permeability of these four strata.
k₁ = 10³cm/sec
k₂ = 2x10 cm/sec
k3= 10 cm/sec
k4= 2x10³ cm/sec
H₁ = 3'
H₂=3'
H3 = 3'
H4=3'
A foundation and earth works design office hired you to calculate the buoyancy force generated by the soil profile, indicated as shown in the figure below, in a retaining wall.
qd2kN/m²Soft sandY1=(14.0+4.0.Y) kN/m³φ1=20ºC=0kPa
Compact sandY2=(18.0+3.0.X) kN/m³φ2=40°C=0kPa
h1=2.0mh2=3,Zm
Given the information above, draw up the active buoyancy diagram (horizontal stresses) and calculate the value of the resulting buoyancy generated by the imposed vertical stresses and the point of application of their resultant.
Considerations:- The efforts of the soil on the wall are of an active nature;⁃ The survey carried out to the depth indicated in the profile did not identify the water table level;⁃ X, Y and Z correspond to the third-to-last, penultimate and last digits of the student's RA, respectively. In this case, X=6 Y=1 Z=0. Where, h2=3.0 m; Y1- (14.0+4+0.1)= 14.4 kN/m³ and Y2=(18.0+3*0.6)= 19.8 kN/m³;- Neglect vertical friction between the wall and the ground.
A cantilever retaining wall supports 2 layers of soil and surcharge as shown below. The layers have these properties:
Layer 1: 1.8m thick. γ = 17.4 kN/m3 and ϕ = 22 degrees
Layer 2: 4.2m thick. γsat = 18.1 kN/m3 and ϕ = 30 degrees
The angle of friction between the base and soil is 42 degrees. Unit weight of concrete is 23.6 kN/m3
What is the design moment (kNm / m) at the bottom of the stem?
None of the choices
819.98
478.88
363.00
299.30
Please answer this asap. For upvote. Thank you very much
Chapter 15 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Refer to the braced cut in Figure 15.50, for which...Ch. 15 - For the braced cut described in Problem 15.16,...Ch. 15 - Refer to Figure 15.51 in which = 17.5 kN/m3, c =...Ch. 15 - Refer to Figure 15.27a. For the braced cut, H = 6...Ch. 15 - Prob. 15.20PCh. 15 - Determine the factor of safety against bottom...Ch. 15 - Prob. 15.22PCh. 15 - The water table at a site is at 5 m below the...Ch. 15 - Prob. 15.24PCh. 15 - Prob. 15.25CTPCh. 15 - Figure 15.53 below shows a cantilever sheet pile...
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- Given the cantilever gravity retaining wall supporting a backfill of coarse-grained soil as shown. Note: Neglect the passive force and the weight of the soil in front of the wallI. 9, = 18 kPa *** 0.5 m 8 Ysat =19 kN/m³ O = 25 6.3 m Backfill Drainage blanket 1.0 m Y. = 23,5 KN/m 0.9 m +1.8 m-+ 3 m 1) Determine the location of the resultant active force from the toe in m. 2) Calculate the total overturning moment in kN-m. 3) Determine the total righting moment in kN-m. 4) Calculate the Factor of Safety against overturning in kN-m.arrow_forward1. Side slopes for rock fill 1V:2H. Calculate the minimum crest width of a breakwater using B = 3*kΔ*(W/γa)1/3 . Given data: Stone weight = (8) t, Specific weight = 2,7 t/m3, Layer thickness coefficient =1,00 and Porosity percentage = 37 2. For cubed shaped stone (or concrete), determine dimension of the stone for weight: W = (10+a) t, specific weight: γa = 2,4 t/m3arrow_forwardA retaining wall is shown below to support two layers of soil. fc' = 23 MPa and fy = 420 MPa. Use 28mm diameter bars for the transverse reinforcement and 12mm for the longitudinal reinforcement. The parameters per layer are given below: Surcharge = qs = 8.04 kPa. Layer 1: H1 = 1.96m. γ = 15.74 kN/m3. Φ = 21 degrees Layer 2: H2 = 4.98m. Gs = 2.64. e = 0.44. S = 23.32%. Φ = 31 degrees. What is the minimum wall thickness (mm)?arrow_forward
- Given: 1. Structural Component: Beam 300 mm x 400 mm Column 400 mm x 400 mm Slab thickness 110 mm 2. Dead Load: Super Imposed dead load = 4.5 KPa (including slab weight) CHB = 3.11 KPa 3. Seismic Parameter: Soil Profile - Sb Closest distance to the source - 10 km Ductility Coefficient R = 8.0 Seismic Zone Z=0.40 Ct = 0.0731 A. Compute TOTAL LATERAL FORCES in the 2nd floor? B. Compute LATERAL FORCES in the 3rd floor?arrow_forwardYou are working for a consulting firm that has been asked to evaluate the factor of safety of the wall shown in the figure supported by a well-degraded sand. The resultant load behind the concrete wall acts at the one third point. Dw 1m 1.5 m 24 kN/m³ y = 20 kN/m³ 26.5 kN/m 24° = 34° n = 0.4 3 m (a) Determine the factor of safety if Dw − D > 1.5B. Ignore the lateral passive resistance due to the soil in front of the wall. (b) Determine the factor of safety if the ground water table rises to 0.5 m below the base of the wall. Discuss the significance of your observations.arrow_forwardAssume the base soil and that in front the wall is gravelly sand of Ø = 33 and γ = 18 kN/m3,overlying a soft-clay deposit at 1.0mdepth belowthe base level, as shown in the scheme below. The ground water tableis also located at the same depth. The soft clay has an average c = 20 kPa,Ø= 0 and γ = 17.5 kN/m3. Determine thesafety factor (SF) against a deep-seated shear failure (or rotational instability) for a trial cylindrical slip surface throughthe heel shown in Scheme 5.97. Assume radius of the cylindrical slip surface is 4.33 m, and its centre O located at2.87 m above the foundation level. Use the conventional method of slices (the Fellenius or Swedish solution).arrow_forward
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