Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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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.
Expert Solution & Answer
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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
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
For the cantilever retaining wall shown, if the F.O.S. (Overturning)= F.O.S. (Sliding),
find:
1. The width B
2. Least value of Ø to make the wall stable against sliding
om
INT
deperst.
B
"S=f(Ø)*
5
of=34 kN/m
+ Yeone:
= 24,"
Sand:
8=17
S=0
Clay!
Øn =
Cu = 63.75
HO
/ kN/m²
Chapter 17 Solutions
Principles of Foundation Engineering (MindTap Course List)
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Similar questions
- 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 1arrow_forwardQ3) A retaining structure is given in figure. Calculate the factor of safety against sliding. (Ignore tensile crack behavior inside active part and ground water condition. Take 1.0 m interval step for point load calculation. k₁= k₂= 0.9). 3.B m 2.C m Yn: 20.0 kN/m² D: 2Eº c: 30 kN/m² 0.5 m 0.5 m 1 3.0 m 5.0 m Y cone ➜ 5A0 KN Yn: 18.5 kN/m³ c: 18 kN/m² $: ID º 24.0 kN/m³arrow_forwardConsider the wall shown below. Dimensions are in meters. sand O' = 30 0.5 0.5 > 1 K Determine the active force acting on the wall. Circle your answer. b. а. Determine the FS for sliding. Circle your answer. Determine the FS for overturning. Circle your answer. d. Determine the FS for overturning if a row of tiebacks is placed 2 meters below the backfill's ground surface. Tieback spacing is 2 meters. The capacity of each tieback is 50 kN. Circle your answer. C.arrow_forward
- 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_forwardAnalyze 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_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_forward
- Compute 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_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_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
- 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_forward1. A one way continuous slab is to support a max. positive moment of 82 kN- m and a max. negative moment of 245 kN – m. Assume f'ċ= 20.7 MPa, fç = 138.23 MPa and n =9.2 1. Determine the minimum depth of the slab 2. Determine the steel area required at midspan. 3. Determine the steel area required at the support.arrow_forward
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