Principles of Foundation Engineering
9th Edition
ISBN: 9780357684832
Author: Das
Publisher: Cengage Learning US
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Chapter 17, Problem 17.3P
To determine
Find the factor of safety of the retaining wall for overturning, sliding, and bearing capacity failure.
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Question 1:
The cross-section of a cantilever retaining wall is shown below.
Calculate the factor of safety with regards to overturning, sliding and bearing capacity (Use Rankine).
Use Yeonerete = 23.58 kN/m³ and k, =k, = 2/3
F10
0.5 m
H =0.458 m
Yi = 18 kN/m³
di=30°
cj=0
H2=6 m
10
1.5 m = D
0.7 m
H3=0.7 m
C
+ 0.7 m + 0.7 m →l+- 2.6 m
9 kN/m³
d'½=20°
cz=40 kN/m²
The cross section of a cantilever retaining wall is shown in Figure 1. Calculate the factors of safety
with respect to overturning. Consider concrete unit weight 24KN/m³.
0.25 m
Sand
c = 0, Ø' = 30°
Ysat= 18 kN/m³
3 m
0.60 m.
0.40m
0.3 m
-2 m
Figure 1
3. Compute the resultant lateral force for the soil-wall system shown
in Figure 3. You may ignore tensile cracks. Use
• A- Coloumb
• B - Rankine
0=30°, y=20kN/m³
4m
Ground water table
7m
c=50KN/m², p=10°, y=18KN/m³
0=25°, y=20KN/m³
8 m
Gravity wall
Figure 3
Chapter 17 Solutions
Principles of Foundation Engineering
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- Q7: For the retaining wall shown in Figure below. Fined: 1- The value of (B) to makes FS)sliding = FS) overturning. 2- The value of (0) that makes the wall safe against sliding. 1 m 1 m. %= 24 kN/m² B = ? 34 kPa Sand a = 17 kN/m² =? 8=0 c=0 16=0 C₂ = 64 kPa 6 marrow_forwardThe cross section of the cantilever retaining wall shown below. Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Ye = 24 kN/m 0.5m 10° Yi = 18 kN/m³ 1 = 30° C= 0.0 6m 1.5m 0.7m 07m-10.7m- 2.6m Y2 = 19 kN/m $2 = 24° C2 = 40KN/m2arrow_forwardExtra Question: If the Dead load in the slab shown is 24 KN/m^3, determine the end support reaction at beam BE. A E B S1 (200 mm) 1.5 m Option 1 a) 16.1 KN Ob) 17.1 KN Oc) 18.1 KN Od) 19.1 KN S2 (150 mm thick) 4.0 m S1 (200 mm) 1.5 m > 4.5marrow_forward
- Analyze the stability of the reinforced cantilever retaining wall based on the three failure modes; : Sliding : Overturning : Bearing Stress 1. Unit weight of soil Ys = 18.5 kN/m³ 2. Unit weight of Conc Yc = 24 kN/m³ 3. Internal friction angle = 30° 4. Coefficient of friction between soil and concrete bass M = 0.35 %3D 5. Bearing capacity of soil = 150 kN/m2 o 45m Soon 3. 0145m 2.amarrow_forwardA 300 mm thick, 2.0 m wide footing slab supports a 200 mm thick concrete wall carrying uniform service dead load of 215 kN/m and service live load of 145 kN/m. Using f’c = 21 MPa and fy = 420 MPa. use flexure bar = 16mm. 1. calculate the ultimate shear force per 1-m-strip of footing slab at critical section 2. calculate the design shear strength of 1-m strip concrete footing slab 3. calculate the maximum factored wall wall that can be sustained by the footing slab based on shear strength onlyarrow_forwardCompute for the width of the base for the given masonry dam, the hydrostatic uplift varies from 20% hydrostatic pressure at the heel to zero at the toe. The specific gravity of masonry is 2.4. If μ = 0.60 and Factor of Safety against sliding is 1.5arrow_forward
- Q4) for retaining wall shown in Figure No. 3. Find the following: 1 m+ SandSoil W1 y=18 kN/m3 D=30° 5.5 m Concrete W2 Yc=24 kN/m3 1 m Clay Soil Ca=60 kN/m2 p=0° B- 1-Width of base (B) if factor safety of sliding = factor safety of overturning 2-Find friction angle under base if factor safety of sliding = 1 and Ca=0arrow_forwardA concrete retaining wall (y-=150 lb/ft) supporting a cohesionless backfill and surcharge pressure 2. q=250 lb/ft? is shown in the figure: a. Calculate the factor of safety against sliding b. Calculate the factor of safety against overturning 1ft C=0. 0 =32° T= 120 lb/t 14 ft 4ft 2ft 2 ft O = 30° C=0 4 ft 6 ftarrow_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_forward
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