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 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
Consider a retaining wall supporting a fill-soil as shown in the figure. The wall is moving from right to left.
q=15kN.m2
0.5m
Yconcrete=24kN.m
Y1=16KN.m
01=32°
Cz=0
3.5m
P1
n=16KN.m
P2
01=32°
0.5m
C==0
[0.5m.
1m
1m
1m
(a) Compute the active force P, and on the wall and its location.
(b) Compute the passive force P2 on the wall.
(c) Analyze the factor of safety against sliding.
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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- i). Explain active earth pressure, draw Mohr Circle and give equation for determination of total earth pressure under active condition (Pa/b) per unit width of wall. (ii)The soil behind a cantilever retaining wall has following properties under at rest condition, σ1 = 400kPa, σ3 = 200kPa, Cohesion c’= 110kPa, angle of internal friction Φ’=30°. Plot Mohr circle for at rest condition and also plot failure envelope (τ = c + σn.tanΦ’). Also calculate (a) Minimum value of σ3 for full active condition. (b) Value of active earth pressure coefficient Ka for full active condition. (c) Angle at which soil will fail under full active condition. Use graph paper for Mohr circle plot and paste image on solution in the answer.arrow_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_forwardFor the cantilever retaining wall shown in Figure P13.1, let the following data be given: Wall dimensions: H = 8m x₁ = 0.40m x₂ = 0.60m Soil properties: Y₁ = 16.80kN/m³ Y2 = 17.60kN/m³ c=0 x3 = 1.50m x₁ = 3.50m x = 0.96m $₁ = 32° $½ = = 28° Figure P13.1 a. Calculate the factor of safety with respect to overturning. b. Calculate the factor of safety with respect to sliding. c. The magnitude of the pressure on the base at the toe. d. The magnitude of the pressure on the base at the heel. D = 1.75m a = 10° C₂' = 30kN/m² Use the Yconcrete = 23.58kN/m³. Also, use k₁=k₂ = 2/3 which are the factor to calculate for p' and Ca-arrow_forward
- 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_forwardGiven: 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_forward
- You 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_forwardFigure Question 2 depicts the design of a gravity retaining wall for carthquake condition given: Kv-0 and Kh-0.37 What should be the weight of the wall for a zero-displacement condition? Use a factor of safety of 2.4. What should be the weight of the wall for an allowable displacement of 50.95 mm? Sand $:= 35° %3D Sand $=37 3. Figure Question 2 B Give a comprehensive detail on how to analyze a retaining wallarrow_forward
- e 2. A soil profile consists of 10 m of sand (y 17.6 kN/m3) over 3 m of soft clay (y 17.3 kN/m2, e, = 1.6, C 1.3, = 1.3, C,/C, = 0.2) over gravel. The water table is 3 m below the ground surface and a hydrostatic condition exists throughout the soil profile. Before constructing a structure at the site, the clay layer is preconsolidated by lowering the water table by 3 m and pumping from the gravel layer at such a rate that piezometric head in the gravel drops by 6 m. Compute the settlement resulting from primary consolidation of the clay layer assuming that pumping continues for a long time.arrow_forwardQ2 Rankine's lateral pressure distributions against the vertical wall are include the effect of a variety of water table elevations and multiple soil layers in the backfill. Figure Q2 shows a vertical retaining wall with a horizontal backfill, which may fail in active mode. The water table elevations in front of the wall and at the back of the wall are different. (a) (b) Calculate the lateral pressures act against the wall. Support the answer with relevant diagram. Determine the total thrust force or resultant force. Support the answer with relevant point of application.arrow_forwarda. Rankine's active earth pressure coefficient: ka1 = (for the upper layer) ka2 = (for the lower layer) b. Lateral pressure due to soil (in kN/m2 per meter length of wall): @ point R = @ just above point S = @ just below point S = @ point T = Thank you please helparrow_forward
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