Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 14, Problem 14.13P
To determine
Find the active thrust
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For 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-
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.
H.W. 2: What is the total active force/unit width of wall and what is the location of the
resultant for the system shown in Fig.? Use the Coulomb equations and take a smooth
wall so S=0°
7.0 m
9-100APX
= 37
-16.5 EN³
=V
7-19.25
Sol L
Sall 1
T
30.3 kPa
107.3 KN
131 EN
$2.5
183.8
R=40.5LN
EN
LOMI
17.3 18
Chapter 14 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- arjumo Но |ha PA r Figure 1 calculaisarrow_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_forwardGiven: wall shown in figure Required: maximum height of the wall (H) to gives Fs), jiding - 1.5 0.5 m C= 0 O = 30 y = 18 kN/m yc = 24 kN/m? 0.5 m 4.5 m Ca = 20 kPa 8 =25arrow_forward
- It is requested to dimension the bending wall (similar to figure 2) in order to resist tipping and slipping, considering parameter values geometric and geotechnical according to the table. v (kN/m³) с (КPа) H (m) q (kN/m?) 18 29 20 Note: use data provided in figure 02 for pre-dimensioning. bo be: 20 cm (mín) bi: (8% a 10%) H B: (40% a 70%) H D: 20 cm (mín) ou (8% a 10%) H P: (10% a 12%) H E: 30 cm (mín) b1 Figure 02: typical section suggested for pre-sizing of bending retaining wall (minimum values)arrow_forward2- Figure below shows a retaining wall that is restrained from yielding. Determine the magnitude of the lateral earth force per unit length for the following conditions: 1) At-rest force 2) Passive force Also, find the location of the resultant, 7, measured from the bottom of the wall. H (ft) H1 (ft) 71 (lb/fr) 72 (lb/ft³) p'ı q (lb/fr²) 10 5 90 122.4 34 26 100 Surcharge = q Sand c{ = 0 Groundwater table H Sand Y2 (saturated unit weight) có = 0 Frictionless wallarrow_forwardDetermine I, for the thin-walled sections shown in Figures 8.9(a) to 8.9(c), where the wall thicknesses are 0.01 m. 8.5 Dimensions are in metres. I second moment of area about a horizontal axis passing through the centroid. NB 0.15 02 0.15 0.1 (a) (b) (c) Figure 8.9 Thin-walled sections.arrow_forward
- 1- Figure below shows a retaining wall. Determine the magnitude of the lateral earth force per unit length for the following conditions: 1) At-rest force 2) Active force Also, find the location of the resultant, 7, measured from the bottom of the wall. H (ft) y (lb/ft') 15 19 120 Sand Unit weight = y (or density = p) %3D H c' = 0 8' (angle of wall friction) = 0arrow_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_forward4. A retaining wall shown in the figure, determine the Rankine Active force, Pa, per unit length of the wall and the location of the resultant. H = 10 ft, H1 = 5 ft, Y1 = 105 Ib/ft? , Y2 = 122 Ib/ft? , 01 = 30° , $2 = 30° Sand H1 Y1 ci = 0 Groundwater table Н Sand Y2 (saturated unit weight) c2 = 0 Frictionless wallarrow_forward
- 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 3arrow_forwardDetermine the stability of the wall in different conditions mentioned down in table and provide a spreadsheet utility program to obtain factor of safety against bearing capacity failure. Но a (°) B (C) ра (kN/m?) Ø (^) 8 (°) (m) 5.0 20 100 1600 36 24 5.5 6.0 6.5 20 100 1600 36 26 1650 1650 20 100 38 28 20 100 38 30 Ho Dry Sand Pa ha PA Gravity wallarrow_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
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